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# Math help excel M&M Project.

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MAT 300
M&Ms® Project
Part 5 (3 pts)

Using the methods in Section 8.4, test the hypothesis (a = 0.05) that the population proportions of red and brown are equal (pred = pbrown). You are testing if their proportions are equal to one another, NOT if they are equal to one another AND equal to 13%. NOTE: These are NOT independent samples, but we will use this approach anyway to practice the method. This also means that n1 and n2 will both be the total number of candies in all the bags. The “x” values for red and brown are the counts of each we found on the Data page. You will need to calculate the weighted p:

Be sure to state clear hypotheses, test statistic, critical value or p-value, decision (reject/fail to reject), and conclusion in English. Submit your answer as a Word, Excel, .rtf or .pdf format through the M&M® project link in the weekly course content.

HELP
You can use StatCrunch or the TI to help with this test. Needed information for both tools include:
x1 = number of red
n1 = total number of candies
x2 = number of brown
n2 = total number of candies

For the TI, you will want 2-PropZTest. Then select the appropriate alternative (not equal), and Calculate then enter. The output will have the test statistic (z), p-value (p), sample p values, weighted p (), then repeat of sample sizes.

For StatCrunch, you will select Stat > Proportions > Two Sample > with summary. The output will contain the test statistic (Z-Stat) and p-value.

Additional help is available in the Online Math Workshop under MAT300 Archived Workshop. Specifically Two Sample Inferences and Using Technology – Two Sample.

At the end of this project, you will be writing a report, explaining the method and presenting the results from each part of the project. You might find it useful to write this as you complete the work, so the report will be mostly written by the time it is assigned.

# math homeowrk

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Sheet3
Sheet2
Sheet1
Gender
Age
# people in household
Favorite TV sport
Eye color
Own / Rent
Height (inches)
Shoe size
Female
26-30
Football
Green
Rent
Male
31-35
None, I don’t watch sports
Brown
36-40
55-60

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# Math help excel M&M Project.

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MAT 300
M&Ms® Project
Part 4 (21 pts)

Use the M&Ms® data to complete this assignment.  You will be using the methods of 7.4 for the color proportions and 7.2 for the mean number of candies per bag. For the Bonus you will be using the methods of 7.5.

You can use StatCrunch to assist with the calculations. A link for StatCrunch can be found under Tools for Success in Course Home. Here is also a link: http://statcrunch.pearsoncmg.com/statcrunch/larson_les4e/dataset/index.html. You can also find additional help on both confidence intervals and StatCrunch in the Online Math Workshop under Tab: “MAT300 Archived Workshops”. Specifically you will be looking for Hypothesis Tests and Using Technology – Hypothesis Testing.

Submit your answers in Excel, Word or pdf format. Submit your file through the M&M® project link in the weekly course content. Be sure to state clear hypotheses, test statistic values, critical value or p-value, decision (reject/fail to reject), and conclusion in English (what does reject/fail to reject the null mean in terms of your hypotheses). When doing calculations for the color proportions, keep at least 4-6 decimal places sample proportions, otherwise you will encounter large rounding errors.

Masterfoods USA states that their color blends were selected by conducting consumer preference tests, which indicated the assortment of colors that pleased the greatest number of people and created the most attractive overall effect.  On average, they claim the following percentages of colors for M&Ms® milk chocolate candies:  24% blue, 20% orange, 16% green, 14% yellow, 13% red and 13% brown.

3 pts.  Test their claim that the true proportion of blue M&Ms® candies is 0.24 at the 0.05 significance level.

3 pts.  Test their claim that the true proportion of orange M&Ms® candies is 0.20 at the 0.05 significance level.

3 pts.  Test their claim that the true proportion of green M&Ms® candies is 0.16 at the 0.05 significance level….

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# Math help excel M&M Project.

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Part 2 Summary
Data
Blue
Orange
Green
Red
Yellow
Brown
Histogram
Sample size
Number of bags sampled
Number of candies sampled
bin
Num. of Candies in Bag
Sample mean number of candies per bag
Sample Standard deviation of mean number of candies per bag
x
p

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# math home work

Eliminate t to determine what type of conic is described by the parametric equations:

(a) , .

(b) ,

(c) ,

Convert the polar equation to rectangular form and identify:

3. Find an equation for the parabola whose focus is at (-2,6) and whose directrix is the line y = -2.

What are the coordinates of the vertex?

Draw a graph of the parabola.

Find an equation for the parabola with horizontal axis of symmetry if it passes through the points (5,0), (14,1), and (5,-2).

5.

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Eliminate t to determine what type of conic is described by the parametric equations:

(a) , .

(b) ,

(c) ,

Convert the polar equation to rectangular form and identify:

3. Find an equation for the parabola whose focus is at (-2,6) and whose directrix is the line y = -2.

What are the coordinates of the vertex?

Draw a graph of the parabola.

Find an equation for the parabola with horizontal axis of symmetry if it passes through the points (5,0), (14,1), and (5,-2).

5. For the conic whose equation is

Identify the conic:

Complete the square and write the conic in standard form:

Sketch the graph:

Find an equation for the ellipse whose graph is
y
End points of major axis (2,-3) and (2,9).
Length of minor axis: 6.
______________________x

Identify and graph the conic:

(b)

Use the discriminant to decide whether the equation represents a parabola, an ellipse, or a hyperbola:
(a)

(b)

(c)

(d)

Identify and graph the conic:

(b)

Use the discriminant to decide whether the equation represents a parabola, an ellipse, or a hyperbola:
(a)

(b)

(c)

(d)

3. Find an equation for the parabola whose focus is at (-2,6) and whose directrix is the line y = -2.

What are the coordinates of the vertex?

Draw a graph of the parabola.

Find an equation for the parabola with horizontal axis of symmetry if it passes through the points (5,0), (14,1), and (5,-2).

5. For the…

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# For Mike Bayville: Statistical Analysis

1.Oak Construction Company built 128 houses in Hilltop Estates. If the company built 7 times as many colonial style houses as ranch style houses, how many ranch style houses were erected?

 14 21 16 24

2.Calculate the weighted mean for the following data: value=10, weight=2; value=12, weight=6; value=15, weight=8; value=18, weight=6; value=20, weight=2

 36 4.8 24

3.This year Bronson’s Tire Co. reported assets of \$545,350 which is \$120,640 more than last year. If owner’s equity was \$192,500 last year, what was the amount of liabilities reported on last year’s balance sheet?

 \$232,210 \$473,490 \$352,850 \$427,930

4. Laser Printing and Graphics offers cash discounts of 2/15, 1/20, n/30 to customers on all purchases. A customer purchased \$18,000 of merchandise on May 20. What is the amount of the net payment if the invoice was paid on June 8?

 \$17,640 \$18,000 \$17,820 \$16,200

5.Matt Stinson invested \$4,000 in a simple interest account paying 5.5% per year. If he received \$385 in interest, how long did he leave the money in the investment? (Express your answer to the nearest hundredth of a year.)

 21 months 1.5 years 21 weeks 175 days

6.Junko Kiera borrowed \$13,000 at a discount loan rate of 12% for 30 months. Determine the true interest rate of Junko’s loan.

 0.171 0.152 0.133 0.141

7.Klemson High-Tech Industries borrowed \$65,000 for three years at 14% compounded semi-annually. How much interest will they pay on the loan when they pay it off at the end of the term of the loan? (Express your answer to the nearest cent.)

 \$32,547.52 \$14,627.80 \$9,100.00 \$32,306.73

8.Determine the future value of an ordinary annuity paying 10% quarterly for nine years if quarterly deposits of \$450 are made throughout the nine years.

 \$25,785.64 \$29,830.08 \$4,479.53 \$6,813.19

9.An asset was purchased on January 3rd costing \$75,000 with a salvage value of \$2,800 and an estimated useful life of five years. Find the depreciation expense using the straight-line method.

 \$15,000 \$15,440 \$14,440 \$13,750

10.Mahalyk’s Water Fun Shoppe specializes in jet skis. Mahalyk’s inventory records showed the following for the past year: purchased 30 jetskis on February 10th at a cost of \$4,000 per jetski; purchased 100 jetskis on May 12th at a cost of \$3,000 per jetski; purchased 20 jetskis on June 15th at a cost of \$3,500 per jetski; purchased 50 jetskis on July 20th at a cost of \$2,500 per jetski Use the Average Cost Method to determine Mahalyk’s value of ending inventory at the end of July if they had 75 jetskis left in inventory.

 \$230,625 \$210,000 \$255,000 \$187,500

1. Which of the following statements is TRUE?

 There is some loss of information when raw data is tallied into a stem-and-leaf display. For a stem-and-leaf display, the leaf for the value 98 is 9. The stem in a stem-and-leaf display is the leading digit. For a stem-and-leaf display, the stem for the value 67 is 7.

2.Three persons earn \$8 an hour, six earn \$9 an hour, and one earns \$12 an hour. The weighted mean hourly wage is:

 \$9. \$9.67. \$10.67. \$11.

3.According to which classification or type of probability are the events equally likely?

 Classical Relative frequency Subjective Mutually exclusive

4.A study determines that 60% of the voters in a town intend to vote for the incumbent mayor. If a sample of 8 people is selected, using the binomial formula, what is the approximate probability that 6 of the 8 people surveyed intend to vote for the incumbent?

 0.47 1.28 0.6 0.21

5.What is a listing of all possible outcomes of an experiment and their corresponding probability of occurrence called?

 Random variable Probability distribution Subjective probability Frequency distribution

6.What kind of distributions are the binomial and Poisson distributions?

 Discrete Continuous Both discrete and continuous Neither discrete or continuous

7.Which of the following is NOT true regarding the normal distribution?

 Mean, median and mode are all equal. It has a single peak. It is symmetrical. The points of the curve meet the X-axis at z = 3 and z = 3.

8.The mean of a normally distributed group of weekly incomes of a large group of executives is \$1,000 and the standard deviation is \$100. What is the z-score for an income of \$1,100?

 1 2 1.683 -0.9

9.Which of the following is NOT a component of the decision-making process?

 Alternatives Payoff States of nature Seasonal indexes

10.Applying probabilities to a payoff table results in:

 expected opportunity loss. expected monetary value. expected value of perfect information. decision tree.

# Mineral Mining Company sends one truckload of iron and copper ore daily from the mine tothe…

Mineral Mining Company sends one truckload of iron and copper ore daily from the mine to the processing plant. The truck has a weight capacity of 10 tons and a volume capacity of 1200 cubic feet. Each pound of iron ore takes up 0.04 cubic feet of space and yields a net profit of \$0.30 when processed. Each pound of copper ore uses 0.08 cubic feet of space and provides \$0.50 of net profit. The following LP model is proposed, where I is the number of pounds of iron ore to load on the truck and C is number of pounds of copper ore to load on the truck: Maximize 0.3 I + 0.5 C Subject to I + C < 20000 0.04 I + 0.08 C < 1200 I , C > 0 a. Solve the problem graphically. Explain the optimal solution and objective function value in the context of the problem. b. Graphically and algebraically determine the sensitivity range of each objective function coefficient at the optimal solution of the linear program in Problem 5. Explain the meaning of each range in the context of the problem. c.For each constraint that holds with equality at the optimal solution of the linear program in the given problem, perform the following: – Graphically and algebraically determine the sensitivity range of the right-hand-side value. – Calculate the shadow price associated with each sensitivity range found in part (a). Explain the meaning of the shadow price in the context of the problem. For the problem of Mineral Mining Company in Problem 5, management is considering leasing one of the following two new trucks to replace the existing one: TRUCK WEIGHT VOLUME ADDITIONAL TYPE CAPACITY(lb) CAPACITY (ft)3 COST (\$/day) Tr 22/12 22,000 1,200 100 Tr 20/13 20,000 1,300 150 Should the company replace the old truck? And, if so, with which one of the new trucks should the company replace? Explain. (Use results from the last problem)

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1. Mineral Mining Company sends one truckload of iron and copper ore daily from the mine to the processing plant. The truck has a weight capacity of 10 tons and a volume capacity of 1200 cubic feet. Each pound of iron ore takes up 0.04 cubic feet of space and yields a net profit of \$0.30 when processed. Each pound of copper ore uses 0.08 cubic feet of space and provides \$0.50 of net profit. The following LP model is proposed, where I is the number of pounds of iron ore to load on the truck and C is number of pounds of copper ore to load on the truck:
Maximize 0.3 I + 0.5 C
Subject to
I + C 0
Solve the problem graphically. Explain the optimal solution and objective function value in the context of the problem. (7 points)
b. Graphically and algebraically determine the sensitivity range of each objective function coefficient at the optimal solution of the linear program in Problem 5. Explain the meaning of each range in the context of the problem. (6 points)
For each constraint that holds with equality at the optimal solution of the linear program in Problem 1, perform the following:
c. Graphically and algebraically determine the sensitivity range of the right-hand-side value. (4 points)
d. Calculate the shadow price associated with each sensitivity range found in part (c). Explain the meaning of the shadow price in the context of the problem. (6 points)
e. For the problem of Mineral Mining Company in Problem 1, management is considering leasing one of the following two new trucks to replace the existing one:
Truck Type
Weight Capacity (lb)
Volume Capacity (ft)^3
Tr 22/12
22000
1200
100
Tr 20/13
20000
1300
150
Should the company replace the old truck? And, if so, with which one of the new trucks should the company replace? Explain. (Use results from problem c and d) (5 points)

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# MINITAB

Using MINITAB perform the regression and correlation analysis for the data on INCOME (Y, the dependent variable) and CREDIT BALANCE (X, the independent variable) by answering the following.
1.Generate a scatterplot for INCOME vs. CREDIT BALANCE, including the graph of the “best fit” line. Interpret.
2.Determine the equation of the “best fit” line, which describes the relationship between INCOME and CREDIT BALANCE.
3.Determine the coefficient of correlation. Interpret.
4.Determine the coefficient of determination. Interpret.
5.Test the utility of this regression model (use a two tail test with =.05). Interpret your results, including the p-value.
6.Based on your findings in 1-5, what is your opinion about using CREDIT BALANCE to predict INCOME? Explain.
7.Compute the 95% confidence interval for beta-1 (the population slope). Interpret this interval.
8.Using an interval, estimate the average income for customers that have credit balances of \$4,000. Interpret this interval.
9.Using an interval, predict the income for a customer that has a credit balance of \$4,000. Interpret this interval.
10.What can we say about the income for a customer that has a credit balance of \$10,000? Explain your answer.

In an attempt to improve the model, we decide to do a multiple regression analysis predicting INCOME based on CREDIT BALANCE, SIZE and YEARS.
11.Using MINITAB run the multiple regression analysis using the variables CREDIT BALANCE, SIZE and YEARS to predict INCOME. State the equation for this multiple regression model.
12.Perform the Global Test for Utility (F-Test). Explain your conclusion.
13.Perform the t-test on each independent variable. Explain your conclusions and clearly state how you should proceed. In particular, which independent variables should we keep and which should be discarded. If appropriate, re-run the multiple regression using only the significant independent variables and the dependent variable. Include your output and interpret it.
14.Is this multiple regression model better than the linear model that we generated in parts 1-10? Explain.
15.All DeVry University policies are in effect, including the plagiarism policy.
16.Project Part C report is due by the end of Week 7.
17.Project Part C is worth 100 total points. See grading rubric below.

Data:

Location Income (\$1000) Size Years Credit Balance(\$)
Urban 27 1 2 2631
Rural 25 4 2 2047
Suburban 25 1 1 3155
Suburban 26 1 2 3913
Rural 30 5 5 2660
Urban 29 1 3 3531
Rural 33 6 10 2766
Urban 30 1 4 3769
Suburban 32 2 4 4082
Urban 34 1 6 3806
Urban 35 1 8 4049
Urban 40 1 9 4073
Rural 30 6 9 2697
Rural 33 6 11 2914
Urban 42 2 10 4073
Suburban 32 2 4 4310
Urban 43 2 10 4199
Urban 43 2 10 4253
Rural 33 7 13 3104
Urban 47 2 10 4293
Subu rban 35 3 5 4456
Urban 54 2 11 4340
Suburban 42 3 5 4925
Rural 36 7 13 3178
Urban 57 3 11 4391
Suburban 44 3 6 4947
Rural 38 7 15 3203
Urban 54 3 8 4354
Urban 54 3 10 4366
Suburban 46 4 6 5003
Rural 40 7 15 3250
Urban 60 4 11 4402
Urban 58 4 10 4397
Urban 61 5 13 4595
Urban 61 5 13 4786
Urban 62 6 14 4888
Suburban 49 5 8 5148
Urban 68 6 14 5011
Suburban 57 6 8 5220
Rural 45 8 16 3257
Urban 71 7 15 5528
Suburban 57 7 9 5283
Suburban 64 8 9 5332
Rural 45 8 17 3304
Urban 74 7 19 5553
Suburban 65 8 10 5484
Rural 47 8 18 3342
Rural 53 8 18 3788
Suburban 66 8 10 5756
Suburban 69 8 10 5861

# Minitab questions with statistics #3

Here is an assignment using minitab and some statistics i need help with.

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MBA 501A â [STATISTICS]
ASSIGNMENT 3
INSTRUCTIONS: Please note that point allocation varies per question.
Use the Help feature in MINITAB 16 to read descriptions for the data sets so that you can make meaningful comments.
[15 pts] 1. Use the data set PULSE.MTW.
Construct a 95% confidence interval for the proportion of students who smoke regularly. [5 pts]
Construct a 99% confidence interval for the proportion of students who smoke regularly. [5 pts]
[20 pts] 2. Use the data set UGRADSURVEY.MTW in the Student 14 folder.
At , test whether at least 75% of students download songs over the internet. Explain your results. [10 pts]
At , test whether more than 10% of students participate in chat rooms over the internet. Explain your results. [10 pts]

[10 pts] 3. Use the data set ENDOWMENT.MTW in the Student14 folder.
Test whether the average endowment is at least \$2,250,000. Use .
[15 pts] 4. Use the data file RESTRNT.MTW.
Construct a 95% confidence interval for the mean number of full-time employees. [5 pts]
Construct a 95% confidence interval for the mean number of seats in the dining area. [5 pts]
[20 pts] 5. Use the data file ASSESS.MTW in the Student14 folder.
At , test whether at least 10% of homes are Bi-level (Height). Explain your results. [10 pts]
At , test whether the mean acreage is 1.5 acres. Explain your results. [10 pts]
[20 pts] 6. Use the data file UGRADSURVEY.MTW in the Student 14 folder.
At , test whether the average number of times logged onto the internet each day is at least 5. Explain your results. [10 pts]
At , test whether the average number of minutes logged onto the internet each day is at least 200. Explain your results. [10 pts]

2

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# FOR MIKE BAYVILLE: Business Analysis

To form a __________ we form a ratio between each frequency and the total number of scores in the set.

A. stem-and-leaf display
B. frequency distribution
C. relative frequency distribution
D. frequency polygon

Reset Selection

Mark for Review What’s This?

##### Question 2 of 20
5.0 Points

 Class Scores Frequency (f) (lower limit 0-20 6 20-40 9 40-60 15 60-80 12 80-100 8

What is the relative frequency of the 20 40 class?

A. 0.30
B. 0.18
C. 0.225
D. 9

Reset Selection

Mark for Review What’s This?

##### Question 3 of 20
5.0 Points

What is the percent frequency of the 60-80 class?

A. 12%
B. 24%
C. 30%
D. 84%

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Mark for Review What’s This?

##### Question 4 of 20
5.0 Points

For Questions 4-7, use the following data:

The number of file conversions performed by a processor per day for 10 days was:

15, 27, 25, 28, 30, 31, 22, 25, 27, 29

What is the arithmetic mean of the data?

A. 20.7
B. 25.9
C. 27
D. 29

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Mark for Review What’s This?

##### Question 5 of 20
5.0 Points

What is the trimmed mean of the data?

A. 22.875
B. 26.625
C. 31.525
D. 34.375

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Mark for Review What’s This?

##### Question 6 of 20
5.0 Points

What is the median of the data?

A. 26
B. 26.5
C. 27
D. There is no median for this data set.

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Mark for Review What’s This?

##### Question 7 of 20
5.0 Points

What is the mode of the data?

A. 25
B. 25
C. There is no mode for the data set.
D. The data set is bimodal, with modes of 25 and 27.

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##### Question 8 of 20
5.0 Points

Sample data on employee age for a large auto parts manufacturer are as follows:

 Employee Age Frequency 25-29 25 30-34 33 35-39 62 40-44 26 45-49 31 50-54 8

What is the mean age of the employees?

A. 37
B. 37.32
C. 37.78
D. 38.83

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##### Question 9 of 20
5.0 Points

A survey of the number of television sets per household in a city yielded the following results:

 Number of TV Sets Number of Households 1 400 2 800 3 400 4 100

What is the trimmed mean of the number of televisions per household?

A. 425
B. 200
C. 340
D. 725

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##### Question 10 of 20
5.0 Points

For questions 10-13, use the following data:

13 29 41 60 89 14 26 53 7 14

What is the arithmetic mean of the data?

A. 20
B. 14
C. 34.6
D. 82

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##### Question 11 of 20
5.0 Points

What is the range of the data?

A. 14
B. 34.6
C. 82
D. 50

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##### Question 12 of 20
5.0 Points

What is the variance of the data?

A. 231.04
B. 616.64
C. 685.16
D. 1,197.16

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##### Question 13 of 20
5.0 Points

What is the standard deviation of the data?

A. 0.2
B. 26.18
C. 24.83
D. 34.61

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##### Question 14 of 20
5.0 Points

A probability is always expressed as a value from:

A. 0 and 1.
B. -1 and 1.
C. 0 and 100.
D. 0 and 10.

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##### Question 15 of 20
5.0 Points

Records at a high school indicate that each year for the past five years, 120 of the 1,500 students were absent on the first day of hunting season. What is the likelihood that a particular student will be absent on the first day of hunting season this year?

A. 0.08
B. 0.12
C. 0.18
D. 0.20

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##### Question 16 of 20
5.0 Points

A study of a manufacturing process indicates that 120 of 6,000 units produced are defective. If a sampler selected 100 units, how many defective units would he expect to be present?

A. 2
B. 5
C. 6
D. 10

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##### Question 17 of 20
5.0 Points

Six red balls and four blue balls are placed in a container. What is the probability that the first ball drawn from the container is blue?

A. 0.286
B. 0.40
C. 0.60
D. 0.67

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##### Question 18 of 20
5.0 Points

 Class Scores Frequency – f Lower limit 20-30 6 30-40 10 40-50 12 50-60 8 60-70 4

What is the probability that a selected observation is between 40 and 50?

A. 0.25
B. 0.30
C. 0.40
D. 0.65

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##### Question 19 of 20
5.0 Points

What is the probability that a selected observation is greater than 39, but less than 60?

A. 0.20
B. 0.40
C. 0.30
D. 0.50

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##### Question 20 of 20
5.0 Points

Calculate the range, variance, and standard deviation of the following data set:

5, 5, 6, 6, 6, 8, 8, 8, 8, 10, 10, 11, 12, 12, 20

A. Range = 15; Variance = 225; Standard Deviation = 7.5
B. Range = 3.85; Variance = 14; Standard Deviation = 3.74
C. Range = 20; Variance = 15; Standard Deviation = 4
D. Range = 15; Variance = 14.82; Standard Deviation = 3.85

# FOR MIKE BAYVILLE: i need the following assignment reviewed and corrected and working out shown for…

This is the assignment i need completed.

i need the whole assignment checked for any errors. It has already been completed so there shouldn’t be any work needed i just need to make sure all the answers are correct.

I do however need some working out shown for around 14 questions (these questions are highlighted in dark green, not light green). The working out needs to support the answer if it is right, and if the answer tha is already given is wrong, please change it so that the working out matches the answer.

I NEED THE ASSIGNMENT REVIEWED, EDITED AND COMPELTED AND SENT BACK TO ME WITHIN 4 HOURS OF THIS POST.

THANKYOU.

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# For Mahound

Here is the task. I was looking at ‘Scenario 2″.

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SUBDOMAIN 212.1 -NUMERACY, ALGEBRA, & GEOMETRY SUBDOMAIN 212.2 -PROBABILITY, STATISTICS, & QUANTITATIVE PROBLEM SOLVING Competency 212.1.2: Solving Algebraic Equations -The graduate solves algebraic equations and constructs equations to solve real-world problems. Competency 212.2.1: Applying Probability and Statistics -The graduate understands and applies elementary probability and statistics concepts and knows the relationship between them and sampling and inference. Competency 212.2.3: Interpreting and Communicating Quantitative Information -The graduate interprets documents and materials containing quantitative information and effectively communicates mathematical arguments and quantitative results. Competency 212.2.4: Applying Technology to Quantitative Problems -The graduate uses appropriate technological tools, including regular and graphing calculators, databases, and/or statistical analysis programs, to solve problems involving computation, graphical information, and informational technology in a wide range of areas. Introduction: “Mathematical literacy is an individual’s capacity to identify and understand the role that mathematics plays in the world, to make well-founded judgments, and to use and engage with mathematics in ways that meet the needs of that individual’s life as a constructive, concerned, and reflective citizen” (2003). Individuals encounter countless situations in day-to-day life that require a strong mathematical foundation in order to make informed decisions. Shown below are four real-world scenarios that one might encounter in day-to-day life. For this task you will choose one of the scenarios below. Each situation requires a mathematical comparison of cost options in order to determine which is best for a consumer (e.g., customer or person). Scenario 1: A parent is looking for the best option for daycare for a child. A home-based option charges a flat rate per hour. A center-based option charges a fixed fee per week for a certain number…

# Macintosh is conscious that to be in good health, a forest must be managed. This means that a…

Macintosh is conscious that to be in good health, a forest must be managed. This means that a young stand must be submitted to thinning ( claircie in French), which consists in cutting the smallest trees of the stand over years so that only the biggest trees will be left at the end. In this episode, we will assume that time is running fast so that we will be able to judge the effect of thinning in a few hours while this usually takes years. (Macintosh will be older by several years at the end of this episode )

Because Macintosh never applied any thinning treatment in the past, he wants to compare two intensities of thinning, low and high, coded respectively L and H below. His first question, for obvious reasons, is: Is there a significant difference in the mean tree growth rate in circumference per plot that these two thinning intensities provide Thereafter, and because the forest he is working in now is composed of three different tree species located in distinct parts of the forest (see figure), his second question to you is: Do the differences between the two thinning intensities depend on the tree species that they are applied to

Tree species 1 Tree species 2 Tree species 3

12) What design would you recommend to Macintosh? This suitable design should allow him to test for the effects sketched as follows (four squares across, 3 squares down. top two from left and entire left column: tree 1. Entire right column and bottom two from right: tree 3. Rest: Tree 2.

# MCQ help required – Math tutors! attention please

Consider the following integer linear programming problem Max Z = 3×1 + 2×2 Subject to: 3×1 + 5×2 30 4×1 + 2×2 28 x1 8 x1 , x2 0 and integer Find the optimal solution. What is the value of the objective function at the optimal solution. Note: The answer will be an integer. Please give your answer as an integer without any decimal point. For example, 25.0 (twenty-five) would be written 25

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From: “Frye, Franklin L.” Date: June 7, 2013, 12:06:56 PM EDTTo: “Drust, Adam P.” , “Baran, Gregory R.” , “Alayed, Mishary S.” , “Bowers, Dayron L.” Subject: RE: MGT 611 – E-Discussion
Promotions: Promoting someone because of hard work versus promoting someone that has been in the same position for a long time. Promotions are something that almost all employees strive towards. Some employees use promotions as a goal, they put in longer work hours, put in the extra effort, and just step up when they are needed.  Other employees feel they are deserving of a promotion simply because they have been at the same position for an extended period of time . Managers are often left with the decision on who to promote, sometimes the decision can be difficult.

Employee Reviews: Some companies use One on One employee reviews led by their manager to discuss the employee’s performance. For employees that receive positive ratings, Managers should still consider telling them what they can do to get even better. For employees that receive negative ratings, it may be difficult to tell an employee what they are doing wrong without offending them. Overall, it is important for a manager and employees to be on the same page, and for employees to know what is expected of them.

From: Drust, Adam P.Sent: Thursday, June 06, 2013 8:53 AMTo: Baran, Gregory R.; Alayed, Mishary S.; Bowers, Dayron L.; Frye, Franklin L.Subject: RE: MGT 611 – E-Discussion
Here are mine:

New Economy Workloads.  Due to “Great Recession” layoffs, the employees who were not let go were presented with the task of picking up the load of the let go employees while earning the same (or less) compensation, with still being employed being the perk for the new responsibilities.  Now business is growing, but not necessarily by leaps and bounds.  Your employees are shouldering the “new” business.  At what…

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# Mechanical math

Question 1
Consider the mechanical system with three degrees of freedom shown below. The positions of the particles are measured from their equilibrium positions. The system has a normal mode eigenvector (6.57, b, 6.57)T.
If all particles start from their equilibrium positions and the leftmost and rightmost particles are given a velocity of 34.22 ms-1, the velocity of the middle particle is -47 ms-1, the system will oscillate in a normal mode. Determine the value of b, giving your answer to 3 decimal places.

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Question 1
Consider the mechanical system with three degrees of freedom shown below. The positions of the particles are measured from their equilibrium positions. The system has a normal mode eigenvector (6.57, b, 6.57)T.
If all particles start from their equilibrium positions and the leftmost and rightmost particles are given a velocity of 34.22 ms-1, the velocity of the middle particle is -47 ms-1, the system will oscillate in a normal mode. Determine the value of b, giving your answer to 3 decimal places.
Question 2
An external sinusoidal force is applied to an oscillating system which can be modelled by a model spring and a damper. The general solution of the equation of the motion is given by,
x = 3 + 3.183cos(2t – ) + 3.18exp(-7.72t) cos(t + )
where , , and  are some constants . Determine the amplitude of the oscillation when steady-state is reached. Give your answer correct to 3 decimal places.
Question 3
Consider two particles of masses m1 and m2 joined to each other and to two fixed walls at both ends by three identical model springs of stiffness k and natural length lo. The matrix equation of motion for the mechanical system is shown below . For certain choices of m1, m2 and k, a normal mode of the system is given by (x1(t), x2(t))T where a, b, ? and  are some constants. If a = -3.77, b = 15, determine how far (in cm) to the left of its equilibrium position does m1 have be initially displaced if m2 is initially 4.09 cm to the right of its equilibrium position, in order for the system to oscillate as a normal mode. Give your answer correct to 3 decimal places.
Question 4
A particle A of mass 2.22 kg collides with another particle B of mass 1.3 kg. Their initial velocities are u1 = 1.55i + 0.88j and u2 = 0.21i + 0.94j just before impact. After collision, they both merged and becomes a composite particle, which travel with a velocity of V = 0.67 i + 0.99j. Calculate the change in kinetic energy. Give your…

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# common assesment

Select a publicly quoted company. Obtain the annual report (10-K) of the company for the immediate past year. The Form 10-K report is accessible at http://www.sec.gov/edgar.shtml. An alternative means to obtain the report is by clicking on the SEC filings link on your selected companyâs website and search for the latest Form 10-K filings.

Write a paper fully addressing the following questions:

What are the key items covered in the financial section of the report?

What comprises the assets of the company? What are the total assets of the company?

What comprises the liabilities of the company? What are the total liabilities of the company?

What comprises the equity of the company? What is the total equity of the company?

Does the company have pensions and other post-retirement benefits? How much?

Does the company have share-based compensation? How much?

What is the net operating profit for the past year?

What is the cost of goods sold in the past year?

What is the earnings per share for the past year?

In the notes to the financial statements, perhaps the company has accounting changes and errors corrections. Discuss the stated reasons and types of changes and corrections.

Provide a segmental breakdown of the markets. What is the sales volume from each market? What is the sales trend for each market for the last two years?

Does the company have leases? Does the company have operating leases, capital leases, or both? How does the company account for lease obligations?

Write a report in the form of a paper for the company under the following four headings: Introduction (stating the type of business and general information on the company).

Recommendation.

Conclusion.

In addition to the paper, make PowerPoint slides of the report

# MA 260 Statistics Analysis I

MA260 Statistical Analysis I

Assignment 1: Directions: Sources must be cited in APA format. Your response should be a minimum of one (1) single-spaced page to a maximum of two (2) pages in length
NOTE: Show your work in the problems.

1. Compute the mean and variance of the following discrete probability distribution.

x P(x)

2 .50

8 .30

10 .20

2. The Computer Systems Department has eight faculty, six of whom are tenured. Dr. Vonder, the chair, wants to establish a committee of three department faculty members to review the curriculum. If she selects the committee at random:

a. What is the probability all members of the committee are tenured?
b. What is the probability that at least one member is not tenured? (Hint: For this question, use the complement rule.)

3. New Process, Inc., a large mail-order supplier of women s fashions, advertises same-day service on every order. Recently, the movement of orders has not gone as planned, and there were a large number of complaints. Bud Owens, director of customer service, has completely redone the method of order handling. The goal is to have fewer than five unfilled orders on hand at the end of 95% of the working days. Frequent checks of the unfilled orders follow a Poisson distribution with a mean of two orders. Has New Process, Inc. lived up to its internal goal? Cite evidence.

4. Recent information published by the U.S. Environmental Protection Agency indicates that Honda is the manufacturer of four of the top nine vehicles in terms of fuel economy.

a. Determine the probability distribution for the number of Hondas in a sample of three cars chosen from the top nine.
b. What is the likelihood that in the sample of three at least one Honda is included?

5. According to the January theory, if the stock market is up for the month of January, it will be up for the year. If it is down in January, it will be down for the year. According to an article in the Wall Street Journal, this theory held for 29 out of the last 34 years. Suppose there is no truth to this theory. What is the probability this could occur by chance?

# A machine shop has its parts go through two processes, A and B, from which they can go to either…

A machine shop has its parts go through two processes, A and B, from which they can go to either shipping or the scrap heap. Here are the parts transitional probabilities: No parts from Process A can go directly to shipping, while 95% go to Process B and 5% are scrapped. There is 10% chance that Process B will send parts back to process A for rework, an 85% chance that they will go to shipping, with the balance to scrap. If a part makes it to either shipping or the scrap heap, than the part is done.

A B SC SH

A

B

SC

SH

Define the adsorbing states, if any (if none write None)

Set up (do not solve how you would determine the two step transition matrix

What is the probability that a part that starts in Process A will make it to shipping in two steps? Show the values that you are combining to solve this.

# “Interpretation of Data and Statistical Concepts”

• Using the Internet, research statistics using www.PollingReport.com.
• Select a topic from either the In the News section or the Issues section.
• Study the data that the Website provides on the topic you selected. Do not perform any calculations.
• Share the data and your understanding of the data with your peers.
• Interpret and explain the results.
• Identify and discuss any results in the selected poll which were most interesting.
• Discuss potential factors which might have had an influential role in the outcome.

# macroeconomics

Questions:

1. A representative of the American clothing industry recently made the following statement: Workers in Asia often work in sweatshop conditions earning only pennies an hour. American workers are more productive and as a result earn higher wages. In order to preserve the dignity of the American workplace, the government should enact legislation banning imports of low-wage Asian clothing. Answer the following:

a. Which parts of this quote are positive statements? Which parts are normative statements?

b. Would such a policy make some Americans better off without making any other Americans worse off? Explain who, and why.

c. Would low-wage Asian workers benefit from or be hurt by such a policy, and why?

2. Referring to the same situation in question 1, but instead of legislation banning the imports, assume that the government enacts a special tax on imported clothing that is so high that the selling price of the imports would be equal to the selling price of the same clothing made in America. This kind of tax is called a tariff and is enacted to protect domestic producers of the same items that can be imported at much lower costs. Answer the following:

a. What would shoppers see when they shopped in Wal-Mart and the other big box stores that sell so many imported items?

b. Would this tax policy have a better effect, worse effect, or no different effect on American workers than the legislation banning the imports discussed in question 1? What kind of effect would the tax have on the Asian workers?

3. Atlantis is a small, isolated island in the South Atlantic. The inhabitants grow potatoes and catch fresh fish. The accompanying table shows the maximum annual output combinations of potatoes and fish that can be produced. Obviously, given their limited resources and available technology, as they use more of their resources for potato production, there are fewer resources available for catching fish.

Maximum annual output options

Quantity of potatoes Quantity of fish

(pounds) (pounds)

A 1,000 0

B 800 300

C 600 500

D 400 600

E 200 650

F 0 675

a. Examine the Maximum annual output options table above and the resulting Production Possibility Frontier Graph below and answer parts b – f.

Production Possibility Frontier Graph

b. Can Atlantis produce 500 pounds of fish and 800 pounds of potatoes? Explain.

c. What is the opportunity cost of increasing the annual output of potatoes from 600 to 800 pounds?

d. What is the opportunity cost of increasing the annual output of potatoes from 200 to 400 pounds?

e. Can you explain why the answers to parts c and d are not the same?

f. What does this imply about the slope of the production possibility frontier?

# Major League Baseball team from 2004 to 2009

he file P14_49.xlsx lists the average salary for each Major League Baseball team from 2004 to 2009, along with the number of team wins in each of these years.

a. Rearrange the data so that there are four long columns: Team, Year, Salary, and Wins. There should be 6*30 values for each.

b. Create a scatterplot of Wins (Y) versus Salary (X). Is there any indication of a relationship between these two variables? Is it a linear relationship?

c. Run a regression of Wins versus Salary. What does it say, if anything, about teams buying their way to success?

# Interpreting Graphs: We often use graphs of recent data to project the changes in future data. The…

Interpreting Graphs: We often use graphs of recent data to project the changes in future data. The following is the graph of a car’s value. The car was bought for \$20000. Each year, the cars value decreases \$2800. we can use this to project what the worth of the car will be if we ever decide to sell it.

A. Write a formula to model the car’s value, where “y” is the value of the car and “x” is the number of years.

B. Find the value of the car algebraic after five years. does this match the graph above?

C. What is an appropriate label for each axis? Y axis: X axis:

D. Estimate the x and y intercepts and state what each one means in relation to the value of the car. Y intercept: x intercept:

# inferential statistics

Project 3 instructions

Based on Larson & Farber: sections 5.2-5.3

Go to

Please set the date range to be: 10/1/2012 – 10/1/2013

Your dates will be going back exactly 1 year. Assume that the closing prices of the stock form a normally distributed data set.

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Project 3 instructions

Based on Larson & Farber: sections 5.2-5.3

Go to

Please set the date range to be: 10/1/2012 – 10/1/2013

Your dates will be going back exactly 1 year. Assume that the closing prices of the stock form a normally distributed data set. Do not manually count values in the data set, but use the ideas found in sections 5.2–5.3. (Now will be a good idea to review the definition and properties of a normal distribution on p236) Complete this assignment within a single Excel file. Show your work where possible. (You may want to review how to find mean and standard deviation given a data set. It will also help to review how to use Excel to find those quantities. Please refer to the Excel file I posted on DB>>Useful files)

If a person bought one share of Google stock within the last year, what is the probability that the stock on that day closed at less than the mean for that year?
Hint: Hint: use property #2 on p236- the normal curve is bell-shaped and is symmetric about the mean.  In other words, half of the data is above mean, and half of the data is below mean.

If a person bought one share of Google stock within the last year, what is the probability that the stock on that day closed at more than \$500? Hint: Use Excel to find the mean and standard deviation. Then find the z score.
Hint: To find that, you will need to find: a) the mean and standard deviation, b) find z score (let’s call it z1) that corresponds to x = 500, c) find P(z z1) = 1 – P(z

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Three (3) personal trainers at an upscale health spa / resort in Sedona, Arizona, want to start a health club that specializes in health plans for people in the 50+ age range. The trainers Donna Rinaldi, Rich Evans, and Tammy Booth are convinced that they can profitably operate their own club. They believe that the growing population in this age range, combined with strong consumer interest in the health benefits of physical activity, would support the new venture. In addition to many other decisions, they need to determine the type of business organization that they want to form: incorporate as a corporation or form a partnership. Rich believes there are more advantages to the corporate form than a partnership, but he has not convinced Donna and Tammy of this. The three (3) have come to you, a small-business consulting specialist, seeking information and advice regarding the appropriate choice of formation for their business. They are considering both the partnership and corporation formation options.

Assume the trainers determine that forming a corporation is the best option. As a result, in exchange for their co-owned building (\$200,000 fair value) and \$150,000 total cash that they contributed to the business, each of the three (3) investors received 20,000 shares of \$2 per common stock on August 15, 2013. Next, Donna, Rich, and Tammy need to decide on strategies geared toward obtaining financing for renovation and equipment. They have a grasp of the difference between equity securities and debt securities, but do not understand the tax, net income, and earnings per share consequences of equity versus debt financing on the future of their business. The goal is to raise \$1,400,000. Rich proposes issuing shares of common stock in order to raise the \$1,4M needed. Donna and Tammy propose issuing debt.

They have asked you, the CPA, for your opinion. When preparing your response, assume that the corporation will issue 140,000 shares if it uses common stock to obtain financing. Alternatively, if the corporation uses debt, assume the interest rate is 8.5%, the tax rate is 34%, and income before interest and taxes is \$500,000.

Write a four to six (4-6) page paper in which you:

1. Provide a summary to the partners, outlining the advantages and disadvantages of forming the business as a partnership and the advantages and disadvantages of forming as a corporation. Recommend which option they should pursue. Justify your response.
2. Explain the major differences between equity and debt financing, and discuss the primary ways in which each would affect the future of the partnersâ business.
3. Determine the appropriate financing approach for your partners. Justify your conclusion, and analyze the resulting impact of your suggested approach on net income, earnings per share, and taxes.
4. Use at least two (2) quality academic resources in this assignment. Note: Wikipedia and other Websites do not qualify as academic resources.

• Be typed, double spaced, using Times New Roman font (size 12), with one-inch margins on all sides; citations and references must follow APA or school-specific format. Check with your professor for any additional instructions.
• Include a cover page containing the title of the assignment, the studentâs name, the professorâs name, the course title, and the date. The cover page and the reference page are not included in the required assignment page length.

# Integration and Reflection

You are to prepare a reflective essay in which you address each of the following items:

1. Descriptions of how you feel you improved your knowledge, skills, abilities, and yourself in this session through this course.

2. Evaluation of the work you did during the session for the class and explanations of ways you could have performed better.

3. Topics you have identified that you did not understand or were not successful in trying to implement and suggestions you may have about how to improve the course material on those topics.

4. Ways you might measure the future effects of what you have learned in this course or your future progress/improvement;

5. State whether you achieved the course objectives (listed on the module 6 home page and course syllabus page)

This Self Reflective Essay is a REQUIRED course component (but not part of your final grade). You need to upload the essay in the corresponding area of CourseNet.

# M131 Project Fall 2013

I actually have the form for excel with the actual format and requirements to send you.

The given information shows the Ages and Heights for 100 men and 100 women. For each gender:

1, Create a single bar graph using two different colors to represent the male and female categories. Arrange each gender according to the following age groups: 10-19, 20-29, 30-39, 40-49, 50-59, and 60-69. Then for each age group and gender, find the average height for all the subjects in each age group. The bar graph should show both men and women! Please see the tab labeled “Bar Chart Hint” for a couple of helpful hints on how to approach this chart.

2. Create a pie chart (one for each gender) to show the percentage of heights in each age group for each gender. Please see the tab labeled “Pie Chart Hint” for a couple of helpful hints on how to approach this chart.

3. Find the mean, median, mode, midrange, and standard deviation for each gender’s heights given. See the tab labeled “Summary Statistics” for a couple of helpful hint on how to approach this summary

4. The submission for this assignment is a single Excel file.

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21
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# The International 500. Each year, Fortune Magazine publishes an article titled “The…

The International 500. Each year, Fortune Magazine
publishes an article titled The International 500 that provides
a ranking by sales of the top 500 firms outside the United States.
Suppose that you want to examine various characteristics of successful
firms. Further suppose that, for your study, you decide to
take a simple random sample of 10 firms from Fortune Magazine s
list of The International 500.
a. Use Table I in Appendix A to obtain 10 random numbers that
you can use to specify your sample. Start at the three-digit
number in line number 14 and column numbers 10 12, read
down the column, up the next, and so on.

# Many companies that manufacture lightbulbs advertise their 60-watt bulbs as having an average burn…

Many companies that manufacture lightbulbs advertise their 60-watt bulbs as having an
average burn time of 1000 hours. A cynical consumer bought 30 bulbs and burned them until
they failed. He found that they burned for an average of M = 1233, with a standard deviation
of s = 232.06. Perform all six steps of hypothesis testing to determine whether the burn time
of lightbulbs differs from that claimed by companies manufacturing them.

# Internet Field Trip

Assignment #2: Internet Field Trip

1. Research: Research at least six (6) information sources on forecasting methods; take notes and record and interpret significant facts, meaningful graphics, accurate sounds and evaluated alternative points of view.
2. Preparation: Produce as storyboard with thumbnails of at least ten (10) slides. Include the following elements:
• Title of slide, text, background color, placement & size of graphic, fonts – color, size, type for text and headings
• Hyperlinks (list URLs of any site linked from the slide), narration text, and audio files (if any)
• Number on slides clear
• Logical sequence to the presentation
3. Content: Provide written content with the following elements:
• introduction that presents the overall topic (clear sense of the project’s main idea) and draws the audience into the presentation with compelling questions or by relating to the audience’s interests or goals.
• accurate, current
• clear, concise, and shows logical progression of ideas and supporting information
• motivating questions and advanced organizers
• drawn mainly from primary sources
4. Text Elements: Slides should have the following characteristics:
• fonts are easy-to-read; point size that varies appropriately for headings and text
• italics, bold, and indentations enhance readability
• background and colors enhance the readability of text
• appropriate in length for the target audience; to the point
5. Layout: The layout should have the following characteristics:
• visually pleasing
• contributes to the overall message
6. Media: The graphics, sound, and/or animation should
• assist in presenting an overall theme and enhance understanding of concept, ideas and relationships
• have original images that are created using proper size and resolution; enhance the content
• have a consistent visual theme.
7. Citations: The sources of information should:
• properly cited so that the audience can determine the credibility and authority of the information presented
• be properly formatted according to APA style

The assignment will be graded using the associated rubric.

 Grading Rubric for Assignment # 2 Internet Field Trip There are 8 possible points for each of the 5 criteria,so that the total number of points is 40 points.

# Intermediate Algebra Homework

Complete the following homework assignments showing the work as if you were doing it for a class.

Section 2.2 homework: 1, 5, 7, 9, 17, 19, 21, 25.
Section 2.3 homework: 1, 7, 9, 13, 17, 21, 29, 35, 37, 43, 47, 51, 53, 59, 63, 81.
Section 4.1 homework: 1, 9, 13, 17, 21, 23, 31, 35, 37,39, 43, 49, 53, 71, 73, 85, 91.
Section 4.2 homework: 5, 7, 9, 17, 19 , 25, 27, 31, 33, 35, 37, 41, 45, 47, 55, 61, 77, 81, 83
Section 4.3 homework: 1, 5, 9, 11, 15, 23, 27, 37, 39, 41, 45, 47, 51, 65, 69, 71, 81
Section 4.4 homework: 1, 3, 5, 9, 13, 17, 27, 31, 35, 37, 39, 57.
Section 4.5 homework: 1, 5, 7, 9, 17, 19, 29, 31, 33, 35, 39 (on part a, do the calculator model
only.)
Section 5.2 homework: 1,5, 7, 9, 17, 19 , 25, 27, 33, 35, 37, 41, 43, 47, 51, 55, 59, 69, 75.
Section 5.3 homework: 1, 7, 9, 13, 17, 21, 29, 35, 37, 39, 41, 45, 47, 51, 65, 67, 71, 73, 77, 89, 91, 93, 95
Section 5.4 homework: 1, 5, 7, 9, 13, 15, 17, 19.
Section 5.5 homework: 1, 3, 5, 7, 13, 17, 19, 25, 37
Section 5.6 homework: 1, 7, 9, 13, 17, 21, 29, 49, 51, 57, 59, 65.
Section 7.1 homework: 1, 7, 9, 13, 33, 35
Section 7.2 homework: 1, 5, 9, 11, 15, 25, 33, 35, 47, 51, 53, 57, 61, 63, 65, 67.
Section 7.3 homework: 1, 5, 7, 17, 25, 27, 29, 43 45, 47, 51, 63.
Section 7.5 homework: 1, 5, 9, 13, 19, 25, 27, 31, 63, 65,69, 73, 75, 79, 83
7.7 1, 3, 5, 7, 11, 15. Use quadratic regression on a calculator to find equations. Ignore the directions that ask you to find the equation by hand .

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# Integrals, Unit Step, etc.

I have two assignments that I need finished. Quote a price for me.

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Signals and Systems – Final Exam
Date Due: April 22, 2013, Monday @4:00 PM
Total = 100 points
Name:
Each question has three parts and each student will be answering the part of each question assigned to him as indicated below:
Part a
Part b
Part c
David
Marquidris
Jirreaubi
Question 1: Express the following complex numbers in polar form: (10 points)
3 + j4 b. -100 + j46 c. -23 + j7
Question 2: Let Z1 = 7 + j5 and Z2 = -3 + j4.
Determine the following in both Cartesian and Polar form: (10 points)
Z1/Z2 b. Z1*Z2 c. (Z1-Z2)/(Z1+Z2)
Question 3: Classify the signals below as periodic or aperiodic. If periodic, then identify the period. (15 points)
x(t) = cos(4t) + 2sin(8t) b. x(t) = 3cos(4t) + sin(pt) c. x(t) = cos(3pt) + 2cos(4pt)
Question 4: Determine if the following systems are time-invariant, linear, causal, and/or memoryless? (15 points)
a) dy/dt + 6 y(t) = 4 x(t) b) dy/dt + 4 y(t) = 2 x(t) c. y(t) = sin(x(t))
Question 5: Solve the following difference equations using recursion first by hand (for n=0 to n=4) and then plot. Check your solution using Maple or MATLAB (for n=0 to n=30). Attach plots to your solution. (20 points)
a) y[n] + 0.5y[n-1] = 2x[n-1]; x[n] = d[n], y[-1] = 0
b. y[n] + 2y[n-1] = 2x[n-1]; x[n] = d[n], y[-1] = 0
c) y[n] + 1.2y[n-1] + 0.32y[n-2] = x[n]-x[n-1]; x[n] = u[n], y[-2] = 1, y[-1]=2
Question 6. Solve the di?erential equations: (15 points)
x’’ + 4x’ + 13x = 0; x(0) = 3, x’(0) = 0
x’’ + 6x’ + 9x = 50 sin(t); x(0) = 1, x’(0) = 4
x’’ + 4x’ – 3x = 4et; x(0) = 1, x’(0) = -2
Question 7: Find the Fourier series of the function: (15 points)

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# Integrals Probelms

1. Evaluate the following integrals

A. f^2 0 (3x^3 x^2 +2) dx this is (f) with subscript of 0 and (f) to the power of 2.

B. f^1 0 (e^(2x)-x^2) dx this is (f) to the power of 1 and (f) with a subscript of 0

C. f (1/x+3)(dx)

2. In a test run, a new train travels along a straight-line track. Data obtained
From the speedometer, indicate that the velocity of the train at any time t can be
Described by the velocity function

V (t) =8t (0 t 30)

a. Find the position function of the train.
b. Find the position after 3 seconds. (Note: the train starts from the beginning
of the track so when t = 0, the integration constant, C = 0.)

3. The current circulation of a particular magazine is 3,000 copies per week. The
Editor projects a growth rate of

G (t) = 4+5t^2/3

Copies per week after t weeks.

a. Find the circulation function based on this projection.
b. Find the circulation in 2 years.

4. A company manufactures widgets. The daily marginal cost to produce x
Widgets is found to be

C (x) = 0.000009x^2 0.009x + 8

(Measured in dollars per unit). The daily fixed costs are found to be \$120.

a. Use this information to get a general cost function for producing widgets.
b. Find the total cost of producing the first 500 widgets.
c. If you sell the widgets for \$25 each, how many will need to be sold before the
Company begins making a profit. (Hint: The revenue function is R(x) = \$25x;

# Inferences and Linear

Student ID: 21317632 Exam: 250714RR -INFERENCES AND LINEAR REGRESSION When you have completed your exam and reviewed your answers, click Submit Exam. Answers will not be recorded until you hit Submit Exam. If you need to exit before completing the exam, click Cancel Exam. Questions 1 to 20: Select the best answer to each question. Note that a question and its answers may be split across a page break, so be sure that you have seen the entire question and all the answers before choosing an answer. 1. Given the significance level 0.025, the F-value for the degrees of freedom, df = (7,3) is A.

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Student ID: 21317632 Exam: 250714RR -INFERENCES AND LINEAR REGRESSION When you have completed your exam and reviewed your answers, click Submit Exam. Answers will not be recorded until you hit Submit Exam. If you need to exit before completing the exam, click Cancel Exam. Questions 1 to 20: Select the best answer to each question. Note that a question and its answers may be split across a page break, so be sure that you have seen the entire question and all the answers before choosing an answer. 1. Given the significance level 0.025, the F-value for the degrees of freedom, df = (7,3) is A. 14.62. B. 5.89. C. 8.45. D. 27.67. 2. A regression analysis between sales (in \$1000) and advertising (in \$) resulted in the following least squares line: yË = 80,000 + 5x. This implies that an increase of _______ in advertising is expected to result in an increase of _______ in sales. A. \$1, \$5 B. \$5, \$5,000 C. \$1, \$80,005 D. \$1, \$5,000 3. An indication of no linear relationship between two variables would be a coefficient of A. correlation equal to -1. B. determination equal to -1. C. correlation of 0. D. determination equal to 1. 4. In testing a population variance or constructing a confidence interval for the population variance, an essential assumption is that A. the population is normally distributed. B. expected frequencies equal or exceed 5. C. sample size exceeds 30. D. the population is uniformly distributed. 5. The object on which the response and factors are observed is called A. treatments. B. factors. C. experimental unit. D. factor level.
6. A chi-square test for independence with 8 degrees of freedom results in a test statistic of 18.21. Using the chi-square table, the most accurate statement that can be made about the p-value for this test is that A. 0.025 > p-value > 0.01. B. 0.10 > p-value > 0.05. C. p-value p-value > 0.025. 7. A balanced experiment requires that A. at least two treatment groups be used. B. at least one sample equal size is…

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# managerial

Unit 3 Assignment
Student Name:

Please answer the following questions. Submit as a Microsoft Word® document to the Dropbox when completed.

1. Explain the relationship between the price elasticity of demand and total revenue.

2. Is the price elasticity of gasoline more elastic over a shorter or a longer period of time? Explain.

3.

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Unit 3 Assignment
Student Name:

Please answer the following questions. Submit as a Microsoft Word® document to the Dropbox when completed.

1. Explain the relationship between the price elasticity of demand and total revenue.

2. Is the price elasticity of gasoline more elastic over a shorter or a longer period of time? Explain.

3. Determine whether each of the following is an explicit cost or an implicit cost:

a) Payments for rented manufacturing equipment

b) A firm’s use of a warehouse that it owns and could rent to another firm

c) Wages paid to the firm’s workers

d) The wages the firm’s owner could earn if he worked for another company

4. Consider the following information in the table for Pat’s Pizza Restaurant and answer the questions below.
Marginal Product of Capital 4,000 Marginal Produce of Labor 100 Wage Rate \$10 Rental Price of Pizza Ovens \$500
Is the owner of Pat’s Pizza Restaurant minimizing cost?

Should he rent more ovens and hire fewer workers or rent fewer ovens and hire more workers? Explain.

Complete your assignment in this Microsoft Word® document and save it as Username-MT445Assignment-Unit#.doc (Example:TAllen-MT445Assignment-Unit3.doc). Submit your file by selecting the Unit 3: Assignment Dropbox by the end of Unit 3.

[MT445 | Managerial Economics]

ent fewer ovens and hire more workers? Explain.

Complete your assignment in this Microsoft Word® document and save it as Username-MT445Assignment-Unit#.doc (Example:TAllen-MT445Assignment-Unit3.doc). Submit your file by selecting the Unit 3: Assignment Dropbox by the end of Unit 3.

[MT445 | Managerial Economics]

nts for…

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# A man wants to get his work building, but he almost forgot his code. He only remembers five clues….

A man wants to get his work building, but he almost forgot his code. He only remembers five clues. These are:
The fifth number plus the third number equals to 14
The fourth number is one more than the second number
The first number is one less than twice the second number
Second number plus the third number equals to 10
The sum of all five numbers is 30

# a manufacturer of pebbles for patios produces two diferent kinds:coarse x and fine y the coarse…

a manufacturer of pebbles for patios produces two diferent kinds:coarse x and fine y the coarse require 2 hours of crushing, 5 hours of sifting and 8 hours of drying.the fine pebbles require 6 hours of crushing, 3 hours of drying.the profit margin for coarse and fine pebbles are Ghc 40 and Ghc50 respectively.the manufacturer has available 36 hours for crushing, 30 hours for sifting and 40 hours for drying.A.reduce the information to the equations and inequalities necessary to determine the output mix that will maximize profit. B. Draw a graph of these equations and inequalities and hence find the output mix that will maximize profit. C.determine the maximum profit.

# Many companies manufacture products that are at least partially produced

Many companies manufacture products that are at least partially produced using chemicals (e.g., paint, gasoline, and steel). In many cases, the quality of the finished product is a function of the temperature and pressure at which the chemical reactions take place. Suppose that a particular manufacturer wants to model the quality (Y) of a product as a function of the temperature (X1) and the pressure (X2) at which it is produced. The file P14_41.xlsx contains data obtained from a carefully designed experiment involving these variables. Note that the assigned quality score can range from a minimum of 0 to a maximum of 100 for each manufactured product.

a. Estimate a multiple regression equation that includes the two given explanatory variables. Does the estimated equation fit the data well?

b. Add an interaction term between temperature and pressure (the product of these two variables) and run the regression again. Does the inclusion of the interaction term improve the model’s goodness of fit?

c. Interpret each of the estimated coefficients in the two equations. How are they different? How do you interpret the coefficient for the interaction term in the second equation?

# A manufacturer uses a tank to supply water to his machines while they are working. When the machines…

A manufacturer uses a tank to supply water to his machines while they are working. When the machines are on the tank loses 1.5 gallons of water an hour at the same time 1 gallon of water is pumped into the tank from a well. Write an equation that models the amount of water (w) in the tank for any hour (h) that the machines are on. The tank starts full with 150 gallons of water in it.

# Managed care

Assignment 2: Dropbox Assignment

Current Trends and Issues in Managed Care

Compensation and reimbursement models are another method of controlling access, cost, and quality in a managed care environment. An MCO doesn’t have direct control over physicians or hospitals but through contractual agreements that set incentives for meeting agreed-upon standards, it can exert influence.

This week, you are required to write an essay on the following topics:

• Managed care hospital reimbursement
• Managed care provider reimbursement

Using South University Online library (e.g. CINAHL) or the Internet, review at least two articles for each topic and write a review for each source of information. Use the following guidelines for developing your essay:

• Write a summary for each topic tying together the information learned about that topic.
• Analyze the market forces that would favor using one reimbursement method over another.
• Evaluate the key differences between different types of payment methodologies from the provider and hospital point of view.
• Evaluate the advantages and disadvantages of the payment methodologies reviewed from the provider and hospital point of view.
• Evaluate new payment methodologies resulting from the Patient Protection and Affordable Care Act (PPACA) and discuss future changes in reimbursement methodologies.
• Compare and contrast each article to the information discussed in the course textbook.

Based on your understanding, create a 3- to 4-page Microsoft Word document that includes the answers to the questions for the above topics.

Cite any sources in APA format.

Submission Details

Submit your document to the W4 Assignment 2 Dropbox by Tuesday, January 14, 2014.

# Management of a home appliance store wants to understand the growth pattern

Management of a home appliance store wants to understand the growth pattern of the monthly sales of a new technology device over the past two years. The managers have recorded the relevant data in the file P14_05.xlsx. Have the sales of this device been growing linearly over the past 24 months? By examining the results of a linear trend line, explain why or why not.

# MAT 117 Richard T. Lynch complete course week 1 to week 9 with course syllabus

MAT 117 Richard T. Lynch complete course week 1 to week 9 with course syllabus

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Course Syllabus
MAT 117 Algebra 1BCourse Start Date: 4/11/2011 Course End Date: 6/6/2011

Please print a copy of this syllabus for handy reference.Whenever there is a question about what assignments are due, please remember this syllabus is considered the ruling document.
Facilitator Information
Richard T. Lynchrlynch4281@email.phoenix.edu (University of Phoenix)mathteachlynch@yahoo.com (Personal)302-593-4393 (EST)
Facilitator AvailabilityI am available from 9 a.m.-9 p.m. Eastern Time on most days, but I attempt to reserve Sunday for my family. During the week, I am online most of the time during that 9 a.m.-9 p.m. time frame.On Saturdays, I tend to be online in the morning only. If these times are not convenient for you, please let me know. I will be happy to accommodate your schedule, if possible. I provide you with these times to make it easier to communicate with me, and not to limit our contact.I want you to know that, should you need to contact me outside these time frames, you should not hesitate to do so.
For emergencies, when you are not able to gain access to messages on the Online Learning System (OLS), please send a message to my personal email address. In the event a third party needs to contact me, please…

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# MAT 116 Week 4 Appendix D

Landscape Design

Landscape designers often use coordinate geometry and algebra as they help their clients . In many regions , landscape design is a growing field . With the increasing popularity of do-it-yourself television shows , however , many homeowners are becoming amateur landscape artists

Suppose you are a homeowner getting ready to sell your home . You realize that there are some landscaping problems that you want to address so that your home will sell quickly and you can get the best price . Since deciding to landscape your backyard , you have realized there are many things to consider , such as budget , time , and space

Application Practice

Answer the following questions . If appropriate , use Equation Editor to show your work . First , save this to your hard drive by selecting Save As from the menu . Click the white space below each question to maintain proper formatting

You are planning to spend no less than 6 ,000 and no more than 10 ,000 on your landscaping project

Write an inequality that demonstrates how much money you are willing to spend on the project

Let us assume that the money spent on the project is equal to x

Since , money spent will be no less than 6 ,000 and no more than 10 ,000 therefore Combining both inequalities Suppose you want to cover the backyard with decorative rock and plant some trees as the first phase of the project . You need 30 tons of rock to cover the area . If each ton costs 60 and each tree is 84 , what is the maximum number of trees you can buy with a budget of 2 ,500 ? Write an inequality that illustrates the problem and solve . Express your answer as an inequality and explain how you arrived at your answer Cost of one tree 84

Let us assume that the number of tree is equal to t , therefore Since , one cannot not buy a portion of a tree and there is not enough money to buy nine trees , therefore Would 5 trees be a solution to the inequality in part b ? Justify your answer . Because five is less than eight and the cost of five trees is also less than the cost of eight trees , so it will under budget of 700 for trees

The coordinate graph of the backyard shows the location of trees plants , the patio , and utility lines (If necessary , you may copy and paste the image to another document and enlarge it

a)What are the coordinates of Tree A ? Plant B ? Plant C ? Patio D ? Plant E Plant F

The coordinate of Tree A is (-20 , 20

The coordinate of Plant B is (-20 ,-4

The coordinate of Plant C is (-10 ,-14

The coordinate of Patio D is (12 , 12

The coordinate of Plant E is (8 ,-8

The coordinate of Plant F is (18 ,-12

b) The water line is given by the equation

c) What is the slope and y-intercept of the line in part b? How do you know?

d) Suppose you want to add a sprinkler system, and the location of one section of the sprinkler line can be described by the equation

e) What objects might be in the way as you lay the pipe for the sprinkler?

# MAT 126

The purpose of this Discussion is to analyze a financial plan that portrays a somewhat typical budgeting scheme. You will calculate expenses, a mortgage payment, and the effects of interest and financing on your budget. Show your math work for every answerand identify the answers with words.

1. Select the first three letters of your last name. Each letter has a numerical place value in the alphabet. For example, D is 4, L is 12, and Z is 26. Add the three place values together. For example, Wallace would yield WAL, which is 23+1+12 = 36. MY LETTERS ARE D E V
2. Multiply your sum by 1500. This is your yearly income for Week Four Discussion 1.
3. Please use the following monthly expenses: Car payment = \$283.15, Car insurance = \$72, Utilities (includes water and power) = \$242.77, Internet = \$32, and Cell Phone = \$79.95.
4. You also have a yearly educational bill of \$7980 which includes textbooks and classes.
6. What percent of your monthly income is the car payment?
7. Subtract the sum of your monthly expenses. Use this value to calculate what percent of your income is now available to spend for food, clothing, and your rent or mortgage.
8. Use the plan at the bottom of page 538, Mathematics in Our World Revisited, to calculate the monthly mortgage payment established by your monthly income.
9. Assume you can afford a down payment equal to 25% of your yearly income. What is the total purchase price can you afford for a home? Would this amount allow you to purchase a home in the area where you live?
10. Respond to at least two of your classmates postings. Make sure you review their calculations and let them know if their income seems sufficient to cover their monthly

# MAT 109 Assignment 2: Mathematical Problem Solving

Assignment 2: Mathematical Problem Solving

The goal of any mathematics course is to introduce you to a variety of methods used to solve real-world problems. In this way, you are able to practice solving problems and, along the way, improve your critical thinking skills.

It may seem that solving a mathematical problem involves nothing more than knowing the right formula and the following the correct steps. However, that is only part of the process. Solving problems is more of an art than a science which means that human intuition and imagination play an extremely important role in the process. Through these human abilities, we link experience to knowledge and skills resulting in a synergy that leads to a solution.

In 1945, mathematician George Polya (1887-1985) published a book titledHow To Solve Itin which he demonstrated his approach to solving problems. Here are his principles of problem solving:

Polya s First Principle: Understand the Problem

To solve a problem, you have to understand the problem.

• Do you understand all the words used in stating the problem?
• What is the problem looking for?
• What data or information has been provided in the problem?
• Are there any special conditions mentioned in the problem that we need to consider in the solution?
• Can you restate the problem in your own words?
• Can you draw a picture or make a diagram that could help you solve the problem?
• Is there enough information in the problem to help you find a solution?

Polya s Second Principle: Devise A Plan

There are many different ways to solve a problem. The way you choose is based upon your own creativity, level of knowledge, and skills. Basically, solving the problem involves finding the connections that exist between the data you ve been provided and the unknown you need to find.

Here is the assignment:

Think of a problem that involved several steps that you had to follow to reach a solution. If you can t think of a problem, look at any of the problems in Chapter 1 in the book and pick one that you can explore here.

Prepare a 200-300 word multiple paragraph response defining the problem and the steps need to reach a solution.

Then in your responses to at least two classmates, address the following items:

1. Comment on the problems they demonstrated and the steps they employed to reach solutions.
2. What would you have done the same or different
3. Do you agree with the solution
4. Can you suggest a different approach to solving the same problem?

# MAT 540 STATELINE SHIPPING AND TRANSPORT COMPANY

STATELINE SHIPPING AND TRANSPORT COMPANY

1)In Excel, or other suitable program, develop a model for shipping the waste directly from the 6 plants to the 3 waste disposal sites.

2)Solve the model you developed in #1 (above) and clearly describe the results.

3)In Excel, or other suitable program, Develop a transshipment model in which each of the

plants and disposal sites can be used as intermediate points.

4)Solve the model you developed in #3 (above) and clearly describe the results

5)Interpret the results and draw conclusions that address the question posed in the case

problem. What are the limits of the study? Write at least one paragraph.

# mat 126 rewritten by tonight

Pythagorean Triple by an integer (any integer).

Sides of a known triple: 3,4,5

Multiply by 2 = 6,8,10

Verification: 6 + 8 = 10 = 100
Multiply by 3 = 9,12,15
verification: 9 + 12 = 15 = 225
Multiply by 4 = 12,16,20

verification: 12 + 16 = 20 = 400

Sides of a known triple: 5,12,13

Multiply by 2 = 10,24,26
verification: 10 + 24 = 26 = 676
Multiply by 3 = 15,36,39
verification: 15 + 36 = 39 = 1521
Multiply by 4 = 20,48,52
verification: 20 + 48 = 52 = 2704

Sides of a known triple: 7,24,25

Multiply by 2 = 14,48,50
verification: 14 + 48 = 50 = 2500
Multiply by 3 = 21,72,75
verification: 21 + 72 = 75 = 5625
Multiply by 4 = 28,96,100
verification: 28 + 96 = 100 = 10000

In addition, there are many formulas

A Pythagorean Triple (a + b = c ) can be calculated using the following method:

By choosing any tow integers: x and y. y must be greater than x.

The sides of a new Pythagorean Triple are:

a = 2*x*y, b = y – x , and c = y + x

for example, let x = 5 and y = 6

a = 2*x*y = 2*5*6 = 60
b = y – x = 6 – 5 = 36 25 = 11
c = y + x = 6 + 5 = 36 + 25 = 61

the sides of the new Pythagorean Triple are: 60,11,61
verification: 60 + 11 = 61 = 3721

Here s how I calculate a possible Pythagorean Triples, use the following formula:
a = 2*d*x*y
b = d*(y^2 – x^2)
c = d*(y^2 + x^2)
d = any positive integer
y > x > 0
x and y must be positive integers
x and y must be even, odd; or odd, even integers

# MAT 116 Week 3 DQs

MAT116 Week 3 Discussion Question 1

Post your responses to the following:

Why does the inequality sign change when both sides are multiplied or divided by a

negative number? Does this happen with equations? Why or why not?

Write an inequality for your classmates to solve. In your inequality, use both the

multiplication and addition properties of inequalities.

Consider solving your classmates inequalities. Explain how you arrived at your answers. Also, help other students who may be having difficulty solving inequalities. Ask clarifying questions if you need additional assistance.

MAT116 Week 3 Discussion Question 2

Post your response to the following:

How do you know if a value is a solution for an inequality? How is this different from determining if a value is a solution to an equation?

If you replace the equal sign of an equation with an inequality sign, is there ever a time when the same value will be a solution to both the equation and the inequality?

Write an inequality and provide a value that may or may not be a solution to the inequality.

Consider responding to a classmate by determining whether or not the solution provided is a solution to the inequality. If the value he or she provides is a solution, provide a value that is not a solution. If the value is not a solution, provide a value that is a solution.

How do you know if a quadratic equation will have one, two, or no solutions? How do you find a quadratic equation if you are only given the solution? Is it possible to have different quadratic equations with the same solution? Explain. Provide your classmate s with one or two solutions with which they must create a quadratic equation.

Explain in your own words how the principle of square roots is used to solve quadratic equations. What form must a quadratic equation be in to use the principle of square roots for solving? Demonstrate the process with your own example. Create two examples for your classmates to attempt.

# MAT 116 Week 5 DQs

MAT116 Week 5 Discussion Question 1

Post your response to the following:

What similarities and differences do you see between functions and linear equations studied in Ch. 3?

Are all linear equations functions? Is there an instance when a linear equation is not a function? Support your answer.

Create an equation of a nonlinear function and provide two inputs for your classmates to evaluate.

Find examples that support or refute your classmates answers to the discussion question. Provide additional similarities and differences between functions and linear equations.

Challenge your classmates by providing more intricate examples of nonlinear functions for them to solve.

MAT116 Week 5 Discussion Question 2

Post your response to the following:

What is the difference between domain and range? Describe a real-life situation that

could be modeled by a function.

Describe the values for xthat may not be appropriate values even when they are defined by your classmates function. A function could, for example, indicate the amount of bone strength (y) in a living human body over time in years (x). It would not make sense to look at negative years, because the person would not yet be born. Likewise, looking beyond 100 years might not make sense, as many people do not live to be 100.

# MAT 116 Week 7 DQs

Mat 116 Week 7 Discussion Question 1

Post your responses to the following:

Systems of equations can be solved by graphing, using substitution, or elimination. What are the pros and cons of each method?

Which method do you like best? Why?

What circumstances would cause you to use a different method?

Respond to your classmates by indicating pros and cons they may not have considered. If you chose different methods, try to persuade them to see the value of the method you like best. Describe situations in which you might use their methods of solving equations.

Mat 116 Week 7 Discussion Question 2

Post your responses to the following:

Review Examples 2 4 in section 8.4 of the text.

How does the author determine what the first equation should be?

How are these examples similar? How are they different?

Find a problem in the text that is similar to Examples 2 4. Post the problem for your classmates to solve.

Respond to your classmates by asking clarifying questions, or by expanding a classmate s response. Help your classmates solve the problem you posted by providing feedback or hints, if necessary. You may also want to provide an explanation of your solution after a sufficient number of classmates have replied.

# MAT 540 Final Exam – 100% Correct Answers

Question 1

Management science techniques focus primarily on observation, model construction and implementation to find an appropriate solution to a problem.

Question 2

In linear programming problems, multiple optimal solutions occur when constraints are parallel to each other.

Question 3

A change in the value of an objective function coefficient will always change the value of the optimal solution.

Question 4

Fractional relationships between variables are not permitted in the standard form of a linear program.

Question 5

In a total integer model, all decision variables have integer solution values.

Question 6

In a transshipment problem, items may be transported from destination to destination and from source to source.

Question 7

The events in an experiment are mutually exclusive if only one can occur at a time.

Question 8

The minimax criterion minimizes the maximum payoff.

Question 9

Excel can be used to simulate systems that can be represented by both discrete and continuous random variables.

Question 10

Question 11

Which of the following is an equation or an inequality that expresses a resource restriction in a mathematical model?

Question 12

If the price decreases but fixed and variable costs do not change, the break even point:

 Question 13

A slack variable:

 Question 14

Cully furniture buys 2 products for resale: big shelves (B) and medium shelves (M). Each big shelf costs \$500 and requires 100 cubic feet of storage space, and each medium shelf costs \$300 and requires 90 cubic feet of storage space. The company has \$75000 to invest in shelves this week, and the warehouse has 18000 cubic feet available for storage. Profit for each big shelf is \$300 and for each medium shelf is \$150. What is the storage space constraint?

 Question 15

The following is an Excel Answer and Sensitivity reports of a linear programming problem:

The Sensitivity Report:

Which additional resources would you recommend to be increased?

 Question 16

Given the following linear programming problem that minimizes cost.

Min Z = 2x + 8y

Subject to 8x + 4y 64

2x + 4y 32

y 2

What is the sensitivity range for the third constraint, y 2?

 Question 17

Compared to blending and product mix problems, transportation problems are unique because:

Question 18

The owner of Black Angus Ranch is trying to determine the correct mix of two types of beef feed, A and B which cost 50 cents and 75 cents per pound, respectively. Five essential ingredients are contained in the feed, shown in the table below. The table also shows the minimum daily requirements of each ingredient.

 Ingredient Percent per pound in Feed A Percent per pound in Feed B Minimum daily requirement (pounds) 1 20 24 30 2 30 10 50 3 0 30 20 4 24 15 60 5 10 20 40

The constraint for ingredient 3 is:

Question 19

The Wiethoff Company has a contract to produce garden hoses for a customer. Wiethoff has 4 different machines that can produce this kind of hose. Write a constraint to ensure that if machine 4 is used, machine 1 will not be used.

Question 20

If we are solving a 0-1 integer programming problem, the constraint x1 = x2 is a __________ constraint.

 Question 21

The following table represents the cost to ship from Distribution Center 1, 2, or 3 to Customer A, B, or C.

The constraint that represents the quantity demanded by Customer B is:

Question 22

A professor needs help from 3 student helpers to complete 4 tasks. The first task is grading; the second is scanning; the third is copying, and the fourth is organizing student portfolios. The estimated time for each student to do each task is given in the matrix below.

Which of the following constraints represents the assignment for student A?

Question 23

Mutually exclusive events are:

 Question 24

Jim is considering pursuing an MS in Information Systems degree. He has applied to two different universities. The acceptance rate for applicants with similar qualifications is 20% for University X and 45% for University Y. What is the probability that Jim will not be accepted at either university?

Question 25

Determining the worst payoff for each alternative and choosing the alternative with the best worst is called :

 Question 26

A business owner is trying to decide whether to buy, rent, or lease office space and has constructed the following payoff table based on whether business is brisk or slow.

 Question 27

For the following frequency distribution of demand, the random number 0.8177 would be interpreted as a demand of:

 Question 28

In the Monte Carlo process, values for a random variable are generated by __________ a probability distribution.

 Question 29

Given an actual demand of 59, a previous forecast of 64, and an alpha of .3, what would the forecast for the next period be using simple exponential smoothing?

Question 30

__________ moving averages react more slowly to recent demand changes than do __________ moving averages.

Question 31

A production process requires a fixed cost of \$50,000. The variable cost per unit is \$25 and the revenue per unit is projected to be \$45. Find the break-even point.

Question 32

Tracksaws, Inc. makes tractors and lawn mowers. The firm makes a profit of \$30 on each tractor and \$30 on each lawn mower, and they sell all they can produce. The time requirements in the machine shop, fabrication, and tractor assembly are given in the table.

Formulation:

Let x = number of tractors produced per period

y = number of lawn mowers produced per period

MAX 30x + 30y

subject to 2 x + y 60

2 x + 3y 120

x 45

x, y 0

The graphical solution is shown below.

What is the shadow price for fabrication Write your answers with two significant places after the decimal and do not include the dollar \$ sign.

Question 33

Consider the following linear program, which maximizes profit for two products, regular (R), and super (S):

MAX
50R + 75S
s.t.
1.2R + 1.6 S 600 assembly (hours)
0.8R + 0.5 S 300 paint (hours)
.16R + 0.4 S 100 inspection (hours)

Sensitivity Report:

 Final Reduced Objective Allowable Allowable Cell Name Value Cost Coefficient Increase Decrease \$B\$7 Regular = 291.67 0.00 50 70 20 \$C\$7 Super = 133.33 0.00 75 50 43.75 Final Shadow Constraint Allowable Allowable Cell Name Value Price R.H. Side Increase Decrease \$E\$3 Assembly (hr/unit) 563.33 0.00 600 1E+30 36.67 \$E\$4 Paint (hr/unit) 300.00 33.33 300 39.29 175 \$E\$5 Inspect (hr/unit) 100.00 145.83 100 12.94 40

A change in the market has increased the profit on the super product by \$5. Total profit will increase by __________. Write your answers with two significant places after the decimal and do not include the dollar \$ sign.

Question 34

Kitty Kennels provides overnight lodging for a variety of pets. An attractive feature is the quality of care the pets receive, including well balanced nutrition. The kennel s cat food is made by mixing two types of cat food to obtain the nutritionally balanced cat diet. The data for the two cat foods are as follows:

Kitty Kennels wants to be sure that the cats receive at least 5 ounces of protein and at least 3 ounces of fat per day. What is the optimal cost of this plan? Write your answers with two significant places after the decimal and do not include the dollar \$ sign.

Question 35

Find the optimal Z value for the following problem. Do not include the dollar \$ sign with your answer.

MAX Z = 5×1 + 8×2

s.t. x1 + x2 6

5×1 + 9×2 45

x1, x2 0 and integer

Question 36

A company markets educational software products, and is ready to place three new products on the market. Past experience has shown that for this particular software, the chance of success is 80%. Assume that the probability of success is independent for each product. Find the probability that at least two of the three is successful. Round your result to four significant places after the decimal.

Question 37

The local operations manager for the IRS must decide whether to hire 1, 2, or 3 temporary workers. He estimates that net revenues will vary with how well taxpayers comply with the new tax code. The probabilities of low, medium, and high compliance are 0.20, 0.30, and 0.50 respectively. What are the expected net revenues for the number of workers he will decide to hire? Do not include the dollar \$ sign with your answer.

Question 38

An investor is consider 4 different opportunities, A, B, C, or D. The payoff for each opportunity will depend on the economic conditions, represented in the payoff table below.

.

. Economic Condition

. Poor Average Good Excellent

. Investment (S1) (S2) (S3) (S4)

. A 50 75 20 30

. B 80 15 40 50

. C -100 300 -50 10

. D 25 25 25 25

.

Suppose all states of the world are equally likely (each state has a probability of 0.25). What is the expected value of perfect information? Round your answer to the nearest integer.

Question 39

Consider the following decision tree. The objective is to choose the best decision among the two available decisions A and B. Find the expected value of the best decision. Do not include the dollar \$ sign with your answer.

Question 40

Recent past demand for product ZXT is given in the following table.

# MAT 540 Quantitative Methods- Stateline Shipping and Transport Company

Stateline Shipping and Transport Company

Rachel Sundusky is the manager of the South-Atlantic office of the Stateline Shipping and Transport Company. She is in the process of negotiating a new shipping contract with Polychem, a company that manufactures chemicals for industrial use. Polychem want Stateline to pick up and transport waste products from its six plants to three waste disposal sites. Rachel is very concerned about this proposed arrangement. The chemical wastes that will be hauled can be hazardous to humans and the environment if they leak. In addition, a number of towns and communities in the region where the plants are located prohibit hazardous materials from being shipped through their municipal limits. Thus, not only will the shipments have to be handled carefully and transported at reduced speeds, they will also have to traverse circuitous routes in many cases. Rachel has estimated the cost of shipping a barrel of waste from each of the six plants to each of the three waste disposal sites as shown in the following table:

 Waste Disposal Site Plant Whitewater Los Canos Duras Kingsport \$12 \$15 \$17 Danville 14 9 10 Macon 13 20 11 Selma 17 16 19 Columbus 7 14 12 Allentown 22 16 18

The plants generate the following amounts of waste products each week:

 Plant Waste per Week (bbl) Kingsport 35 Danville 26 Macon 42 Selma 53 Columbus 29 Allentown 38

The three waste disposal sites at Whitewater, Los Canos, and Duras can accommodate a maximum of 65, 80, and 105 barrels per week respectively. In addition to shipping directly from each of the six plants to one of the three waste disposal sites, Rachel is also considering using each of the plants and waste disposal sites as intermediate shipping points. Trucks would be able to drop a load at a plant or disposal site to be picked up and carried on to the final destination by another truck, and vice versa. Stateline would not incur any handling costs because Polychem has agreed to take care of all local handling of the waste materials at the plants and the waste disposal sites. In other words, the only cost Stateline incurs is the actual transportation cost. So Rachel wants to be able to consider the possibility that it may be cheaper to drop and pick up loads at intermediate points rather than ship them directly. Rachel estimates the shipping costs per barrel between each of the six plants to be as follows:

 Plant Plant Kingsport Danville Macon Selma Columbus Allentown Kingsport \$ __ \$6 \$4 \$9 \$7 \$8 Danville 6 __ 11 10 12 7 Macon 5 11 __ 3 7 15 Selma 9 10 3 __ 3 16 Columbus 7 12 7 3 __ 14 Allentown 8 7 15 16 14 __

The estimated shipping cost per barrel between each of the three waste disposal sites is as follows:

 Waste Disposal Site Waste Disposal Site Whitewater Los Canos Duras Whitewater \$__ \$12 \$10 Los Canos 12 __ 15 Duras 10 15 __

Rachel wants to determine the shipping routes that will minimize Stateline s total cost in order to develop a contract proposal to submit to Polychem for waste disposal. She particularly wants to know if it would be cheaper to ship directly from the plants to the waste sites or if she should drop and pick up some loads at the various plants and waste sites. Develop a model to assist Rachel and solve the model to determine the optimal routes.

Read the ‘Stateline Shipping and Transport Company” Case Problem on pages 273-274 of the text. Analyze this case, as follows:

1.

In Excel, or other suitable program, develop a model for shipping the waste directly from the 6 plants to the 3 waste disposal sites.

2.

Solve the model you developed in #1 (above) and clearly describe the results. In Excel, or other suitable program, Develop a transshipment model in which each of the plants and disposal sites can be used as intermediate points.

3.

Solve the model you developed in #3 (above) and clearly describe the results.

4.

Interpret the results and draw conclusions that address the question posed in the case problem. What are the limits of the study? Write at least one paragraph.

# MAT 116 Week 1 DQs

Mat 116 Week 1 Discussion Question 1

Post your responses to the following:

What is the difference between an equation and an expression? Include an example of

each.

Can you solve for a variable in an expression? Explain your answer.

Can you solve for a variable in an equation? Explain your answer.

Write a mathematicaphrase or sentence for your classmates to translate.Translate your

classmates phrases or sentences and explain what clues indicate that the problems are

either expressions or equations.

Respond to classmates who have responded to your sentence or phrase and indicate

whether or not they correctly translated the problem. Ask clarifying questions if you need more explanation, or help students who seem to struggle with the concept

Mat 116 Week 1 Discussion Question 2

Post your responses to the following:

What are the steps of the order of operations?

Why is it important that you follow the steps rather than solve the problem from left to right?

Write an expression for your classmates to simplify using at least three of the following:

_ Groupings (parenthesis, brackets, or braces)

_ Exponents

_ Multiplication or division

Consider participating in the discussion by simplifying a classmate s expression, showinghow the expression would be incorrectly simplified if computed from left to right, or challenging the class with a complicated expression. Respond to your initial post and provide your classmates with the answer to your expression.

# MAT 540 Week 11 FINAL EXAM

1. Which of the following could be a linear programming objective function?

2. Which of the following could not be a linear programming problem constraint?

3. Types of integer programming models are _____________

4. The production manager for Beer etc. produces 2 kinds of beer: light (L) and dark (D). Two resources used to produce beer are malt and wheat. He can obtain at most 4800 oz of malt per week and at most 3200 oz of wheat per week respectively. Each bottle of light beer requires 12 oz of malt and 4 oz of wheat, while a bottle of dark beer uses 8 oz of malt and 8 oz of wheat.

Profits for light beer are \$2 per bottle, and profits for dark beer are \$1 per bottle. If the production manager decides to produce of 0 bottles of light beer and 400 bottles of dark beer, it will result in slack of

5. The reduced cost (shadow price) for a positive decision variable is 0

6. Decision variables

7. A plant manager is attempting to determine the production schedule of various products to maximize profit. Assume that a machine hour constraint is binding. If the original amount of machine hours available is 200 minutes., and the range of feasibility is from 130 minutes to 340 minutes, providing two additional machine hours will result in the

8. Decision models are mathematical symbols representing levels of activity.

9. The integer programming model for a transportation problem has constraints for supply at each source and demand at each destination.

10. In a transportation problem, items are allocated from sources to destinations

11. In a media selection problem, the estimated number of customers reached by a given media would generally be specified in the _________________. Even if these media exposure estimates are correct, using media exposure as a surrogate does not lead to maximization of ___.

12. ____________ solutions are ones that satisfy all the constraints simultaneously.

13. In a linear programming problem, a valid objective function can be represented as

14. The standard form for the computer solution of a linear programming problem requires all variables to the right and all numerical values to the left of the inequality or equality sign

15. Constraints representing fractional relationships such as the production quantity of product 1 must be at least twice as much as the production quantity of products 2, 3 and 4 combined cannot be input into computer software packages because the left side of the inequality does not consist of consists of pure numbers.

16. In a balanced transportation model where supply equals demand

17. The objective function is a linear relationship reflecting the objective of an operation.

18. The owner of Chips etc. produces 2 kinds of chips: Lime (L) and Vinegar (V). He has a limited amount of the 3 ingredients used to produce these chips available for his next production run: 4800 ounces of salt, 9600 ounces of flour, and 2000 ounces of herbs. A bag of Lime chips requires 2 ounces of salt, 6 ounces of flour, and 1 ounce of herbs to produce; while a bag of Vinegar chips requires 3 ounces of salt, 8 ounces of flour, and 2 ounces of herbs. Profits for a bag of Lime chips are \$0.40, and for a bag of Vinegar chips \$0.50. Which of the following is not a feasible production combination?

19. The linear programming model for a transportation problem has constraints for supply at each source and demand at each destination.

20. For a maximization problem, assume that a constraint is binding. If the original amount of a resource is 4 lbs., and the range of feasibility (sensitivity range) for this constraint is from

3 lbs. to 6 lbs., increasing the amount of this resource by 1 lb. will result in the

21. In a total integer model, all decision variables have integer solution values.

23. Linear programming is a model consisting of linear relationships representing a firm’s decisions given an objective and resource constraints.

24. When using linear programming model to solve the “diet” problem, the objective is generally to maximize profit.

25. In a balanced transportation model where supply equals demand, all constraints are equalities.

26. In a transportation problem, items are allocated from sources to destinations at a minimum cost.

27. Mallory Furniture buys 2 products for resale: big shelves (B) and medium shelves (M). Each big shelf costs \$500 and requires 100 cubic feet of storage space, and each medium shelf costs \$300 and requires 90 cubic feet of storage space. The company has \$75000 to invest in shelves this week, and the warehouse has 18000 cubic feet available for storage. Profit for each big shelf is \$300 and for each medium shelf is \$150. Which of the following is not a feasible purchase combination?

28. In a mixed integer model, some solution values for decision variables are integer and others can be non-integer.

29. In a 0 – 1 integer model, the solution values of the decision variables are 0 or 1.

30. Determining the production quantities of different products manufactured by a company based on resource constraints is a product mix linear programming problem.

31. When the right-hand sides of 2 constraints are both increased by 1 unit, the value of the objective function will be adjusted by the sum of the constraints’ prices.

32. The transportation method assumes that

33. A constraint is a linear relationship representing a restriction on decision making.

34. When formulating a linear programming model on a spreadsheet, the measure of performance is located in the target cell.

35. The linear programming model for a transportation problem has constraints for supply at each ________ and _________ at each destination.

36. The 3 types of integer programming models are total, 0 – 1, and mixed.

37. In using rounding of a linear programming model to obtain an integer solution, the solution is

38. If we use Excel to solve a linear programming problem instead of QM for Windows,

then the data input requirements are likely to be much less tedious and time consuming.

39. In a _______ integer model, some solution values for decision variables are integer and others can be non-integer.

40. Which of the following is not an integer linear programming problem?

# MAT 540 Assignment #4: Case Problem “Stateline Shipping and Transport Company”?

MAT540 Assignment #4: Case Problem Stateline Shipping and Transport Company

Read the Stateline Shipping and Transport Company Case Problem on pages 273-274 of the text. Analyze this case, as follows:

1. In Excel, or other suitable program, develop a model for shipping the waste directly from the 6 plants to the 3 waste disposal sites.

2. Solve the model you developed in #1 (above) and clearly describe the results.

3. In Excel, or other suitable program, Develop a transshipment model in which each of theplants and disposal sites can be used as intermediate points.

4. Solve the model you developed in #3 (above) and clearly describe the results.

5. Interpret the results and draw conclusions that address the question posed in the caseproblem. What are the limits of the study?Write at least one paragraph.

There are two deliverables for this Case Problem, the Excel spreadsheets and an accompanying written description/explanation. Please submit both of them electronically via the dropbox.

Strayer MAT 540 Week 10 Assignment 4 Case Problem Stateline Shipping and Transport Company

Mat 540 Case Problem Stateline Shipping and Transport Company

Assignment Mat 540 Case Problem Stateline Shipping and Transport Company Solution

Solved

Mat 540 Assignment Solution

MAT540 Assignment 4 Case Problem Stateline Shipping and Transport Company

MAT 540 Assignment 4 Case Problem Stateline Shipping and Transport Company

MAT/540 Assignment 4 Case Problem Stateline Shipping and Transport Company

# mat 540 3 mulitple choice questions

1. Let s say thata life insurance company wants to update its actuarial tables. Assume that the probability distribution of the lifetimes of the participants is approximately a normal distribution with a mean of 72 years and a standard deviation of 5 years. What proportion of the plan participants are expected to survive to see their 75th

2. Mr. Sartre is considering four different opportunities, A, B, C, or D. The payoff for each opportunity will depend on the economic conditions, represented in the payoff table below.

 Investment Economic Conditions Poor (S1) Average (S2) Good (S3) Excellent (S4) A 38 25 33 10 B 10 15 20 85 C 20 100 20 -25 D 25 25 100 25

Suppose all states of the world are equally likely (each state has a probability of 0.25). What is the expected value of perfect information Note: Report your answer as an integer, rounding to the nearest integer, if applicable

3. Klein Kennels provides overnight lodging for a variety of pets. An attractive feature is the quality of care the pets receive, including well balanced nutrition. The kennel s cat food is made by mixing two types of cat food to obtain the nutritionally balanced cat diet. The data for the two cat foods are as follows:

 Cat Food Cost/oz protien (%) fat (%) Partner’s Choice \$0.20 45 20 Feline Excel \$0.15 15 30

Klein Kennels wants to be sure that the cats receive at least 5 ounces of protein and at least 3 ounces of fat per day. What is the optimal cost of this plan Note: Please write your answers with two significant places after the decimal and do not include the dollar \$ sign. For instance, \$9.45 (nine dollars and fortyfive cents) should be written as 9.45

# MAT 221 Uop Course Tutorial

Read the following instructions in order to complete this discussion, and review the example of how to complete the math required for this assignment:

Read about Cowling s Rule for child sized doses of medication (number 92 on page 119 of Elementary and Intermediate Algebra).

Solve parts (a) and (b) of the problem using the following details indicated for the first letter of your last name:

If your last name starts with letter

For part (a) of problem 92 use this information to calculate the child s dose.

For part (b) of problem 92 use this information to calculate the child s age.

# MAT 300

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# MAT 126 Week 5 Quiz

1. Question : Find the area under the normal distribution curve between z = 1.52 and z = 2.43.

2. Question : For the 20 test scores shown, find the percentile rank for a score of 86.

75 63 92 74 86 50 77 82 98 65 71 89 75 66 87 59 70 83 91 73

3. Question : If a student’s percentile rank in a class of 400 students is 87, find the student’s class rank.

4. Question : Find the value for the correlation coefficient r.

5. Question : Find the median.

2 27 38 55 49 9 53 34

6. Question : Find Q1, Q2, and Q3 for the data set below.

5.4 2.0 6.8 3.1 2.9 4.7 2.1 5.0 1.9 3.4

7. Question : Which statement is true for a statistical study?

8. Question : The average amount customers at a certain grocery store spend yearly is \$636.55. Assume the variable is normally distributed. If the standard deviation is \$89.46, find the probability that a randomly selected customer spends between \$550.67 and \$836.94.

9. Question : Which of the following is not a property of a normal distribution?

10. Question : The average hourly wage of employees of a certain company is \$9.83. Assume the variable is normally distributed. If the standard deviation is \$4.58, find the probability that a randomly selected employee earns less than \$5.43.

11. Question : Use a scatter plot to deternine the relationship between the x values and the y values.

12. Question : If a student’s rank in a class of 400 students is 44, find the student’s percentile rank.

13. Question : Fran’s percentile rank on an exam in a class of 500 is 85. Kelly’s class rank is 60. Who is ranked higher?

14. Question : The area under a normal distribution curve that lies within one standard deviation of the mean is approximately ___.

15. Question : Find the area under the normal distribution curve to the right of z = 1.03.

16. Question : Find the area under the normal distribution curve to the right of z = 3.24.

17. Question : Armia’s percentile rank on an exam in a class of 300 is 85. Sanjo’s class rank is 42. Who is ranked higher?

18. Question : Determine whether a correlation coefficient of r = 0.405 is significant at the 5% level for a sample size of 22.

19. Question : Find the standard deviation.

44 46 33 10 50 27

20. Question : Find the median and the mean for the data set below.

5.4 2.0 6.8 3.1 2.9 4.7 2.1 5.0 1.9 3.4

# MAT 300 2 QUESTIONS

• From the e-Activity, the table shows Average Insurance Costs by State. Select two (2) states that are of interest to you. Next, speculate on three (3) possible reasons why the states you have chosen would have a difference in average insurance costs.
• From the e-Activity, select ten (10) states and calculate the mean and standard deviation for average insurance costs. Next, calculate the mean and standard deviation for average insurance costs for all 51 states. Compare and contrast the means and standard deviations for the ten (10) states you selected and all fifty one (51) states.

at http://www.cbsnews.com/8301-505145_162-40542496/auto-insurance-costs-where-does-your-state-rank/

# MAT 300 M&Ms Project Part 5

MAT 300
M&Ms Project
Part 5

Using the methods in Section 8.4, test the hypothesis ( = 0.05) that the population proportions of red and brown are equal (pred = pbrown). You are testing if their proportions are equal to one another, NOT if they are equal to one another AND equal to 13%. NOTE: These are NOT independent samples, but we will use this approach anyway to practice the method. This also means that n1 and n2 will both be the total number of candies in all the bags. The x values for red and brown are the counts of each we found on the Data page. You will need to calculate the weighted p:

Be sure to state clear hypotheses, test statistic, critical value or p-value, decision (reject/fail to reject), and conclusion in English. Submit your answer as a Word, Excel, .rtf or .pdf format through the M&M project link in the weekly course content.

HELP
You can use StatCrunch or the TI to help with this test. Needed information for both tools include:
x1 = number of red
n1 = total number of candies
x2 = number of brown
n2 = total number of candies

For the TI, you will want 2-PropZTest. Then select the appropriate alternative (not equal), and Calculate then enter. The output will have the test statistic (z), p-value (p), sample p values, weighted p ( ), then repeat of sample sizes.

For StatCrunch, you will select Stat > Proportions > Two Sample > with summary. The output will contain the test statistic (Z-Stat) and p-value.

Additional help is available in the Online Math Workshop under MAT300 Archived Workshop. Specifically Two Sample Inferences and Using Technology Two Sample.

At the end of this project, you will be writing a report, explaining the method and presenting the results from each part of the project. You might find it useful to write this as you complete the work, so the report will be mostly written by the time it is assigned.

# MAT 300 M&Ms Project Part 4

MAT 300

M&Ms Project

Part 4

Use the M&Ms data to complete this assignment. You will be using the methods of 7.4 for the color proportions and 7.2 for the mean number of candies per bag. For the Bonus you will be using the methods of 7.5.

You can use StatCrunch to assist with the calculations. A link for StatCrunch can be found under Tools for Success in Course Home. Here is also a link: http://statcrunch.pearsoncmg.com/statcrunch/larson_les4e/dataset/index.html. You can also find additional help on both confidence intervals and StatCrunch in the Online Math Workshop under Tab: MAT300 Archived Workshops . Specifically you will be looking for Hypothesis Tests and Using Technology Hypothesis Testing.

Submit your answers in Excel, Word or pdf format. Submit your file through the M&M project link in the weekly course content. Be sure to state clear hypotheses, test statistic values, critical value or p-value, decision (reject/fail to reject), and conclusion in English (what does reject/fail to reject the null mean in terms of your hypotheses). When doing calculations for the color proportions, keep at least 4-6 decimal places sample proportions, otherwise you will encounter large rounding errors.

Masterfoods USA states that their color blends were selected by conducting consumer preference tests, which indicated the assortment of colors that pleased the greatest number of people and created the most attractive overall effect. On average, they claim the following percentages of colors for M&Ms milk chocolate candies: 24% blue, 20% orange, 16% green, 14% yellow, 13% red and 13% brown.

3 pts. Test their claim that the true proportion of blue M&Ms candies is 0.24 at the 0.05 significance level.

3 pts. Test their claim that the true proportion of orange M&Ms candies is 0.20 at the 0.05 significance level.

3 pts. Test their claim that the true proportion of green M&Ms candies is 0.16 at the 0.05 significance level.

3 pts. Test their claim that the true proportion of yellow M&Ms candies is 0.14 at the 0.05 significance level.

3 pts. Test their claim that the true proportion of red M&Ms candies is 0.13 at the 0.05 significance level.

3 pts. Test their claim that the true proportion of brown M&Ms candies is 0.13 at the 0.05 significance level.

3 pts. On average, they claim that a 1.69 oz bag will contain more than 54 candies. Test this claim ( > 54) at the 0.01 significance ( unknown).

BONUS: 5 pts. It is important that the total number of candies per bag does not vary very much. As a result of this quality control, the desired standard deviation is 1.5. Test the claim ( = 0.05) that the true standard deviation for number of candies per 1.69 oz bag is less than 1.5 (

HELP:

Color proportions

Revisiting the purple example from before: we had found 732 purple candies out of 3500 total candies. The sample proportion of purple candies is 732/3500 = 0.2091428571.
Now let’s say you want to test that the true proportion of purple candies is 21% (0.21).
First define your hypotheses: Claim – p = 0.21
H0: p = 0.21 (null)
H1: p 0.21 (alternative)

Next we need to calculate the test statistic. For this type of test, it is a z and a two tailed test. You have been asked to test at alpha = 0.05, so we will reject the null if the test statistic, z, is positive and greater than 1.96 OR if the test statistic, z, is negative and smaller than -1.96. (NOTE: This is the same as if the absolute value of the test statistic is greater than 1.96.)

# Math 3-4 part problem

see attachment

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# mat 126 week 4 rewritten

Name
Math 126 Survey of Mathematical Methods
Pythagorean Triple
Instructor
Date
When we began to deal with Pythagorean Triples it can be very hard and difficult in doing any kind of mathematics problems. When we first starting this class and saw that it involve doing Pythagorean Triples knew it was going to be a challenge. When we deal with using formula you must know how to use them in the proper order and make sure you are using the correct one as well. If we can do that then we can be good at doing the problems as well as use the formulas later on.

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Name
Math 126 Survey of Mathematical Methods
Pythagorean Triple
Instructor
Date
When we began to deal with Pythagorean Triples it can be very hard and difficult in doing any kind of mathematics problems. When we first starting this class and saw that it involve doing Pythagorean Triples knew it was going to be a challenge. When we deal with using formula you must know how to use them in the proper order and make sure you are using the correct one as well. If we can do that then we can be good at doing the problems as well as use the formulas later on.
A Pythagorean triple is simply a right triangle whose sides are positive integers. After reviewing here’s the way to generate Pythagorean Triples is to multiply any known Pythagorean Triple by an integer (any integer). Sides of a known triple: 3,4,5 Multiply by 2 = 6,8,10
Verification: 6² + 8² = 10² = 100 Multiply by 3 = 9,12,15 verification: 9² + 12² = 15² = 225 Multiply by 4 = 12,16,20
verification: 12² + 16² = 20² = 400 Sides of a known triple: 5,12,13 Multiply by 2 = 10,24,26 verification: 10² + 24² = 26² = 676 Multiply by 3 = 15,36,39 verification: 15² + 36² = 39² = 1521 Multiply by 4 = 20,48,52 verification: 20² + 48² = 52² = 2704 Sides of a known triple: 7,24,25 Multiply by 2 = 14,48,50 verification: 14² + 48² = 50² = 2500 Multiply by 3 = 21,72,75 verification: 21² + 72² = 75² = 5625 Multiply by 4 = 28,96,100 verification: 28² + 96² = 100² = 10000 In addition, there are many formulas A Pythagorean Triple (a² + b² = c²) can be calculated using the following method: By choosing any tow integers: x and y. y must be greater than x. The sides of a new Pythagorean Triple are: a = 2*x*y, b = y² – x², and c = y² + x² for example, let x = 5 and y = 6 a = 2*x*y = 2*5*6 = 60 b = y² – x² = 6² – 5² = 36 – 25 = 11 c = y² + x² = 6² + 5² = 36 + 25 = 61 the sides of the new Pythagorean Triple are: 60,11,61 verification: 60² + 11² = 61² = 3721 Here’s how I calculate a possible Pythagorean…

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# math 540

Assignment #3: Case Problem “Julia’s Food Booth”
Complete the “Julia’s Food Booth” case problem on page 109 of the text. Address each of the issues A – D according the instructions given.
•(A) Formulate and solve an L.P. model for this case.
•(B) Evaluate the prospect of borrowing money before the first game.
•(C) Evaluate the prospect of paying a friend \$100/game to assist.
•(D) Analyze the impact of uncertainties on the model.
Julia’s Food Booth
Julia Robertson is a senior at Tech and she’s investigating different ways to finance her final year at school.

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Assignment #3: Case Problem “Julia’s Food Booth”
Complete the “Julia’s Food Booth” case problem on page 109 of the text. Address each of the issues A – D according the instructions given.
•(A) Formulate and solve an L.P. model for this case.
•(B) Evaluate the prospect of borrowing money before the first game.
•(C) Evaluate the prospect of paying a friend \$100/game to assist.
•(D) Analyze the impact of uncertainties on the model.
Julia’s Food Booth
Julia Robertson is a senior at Tech and she’s investigating different ways to finance her final year at school. She is considering leasing a food booth outside the Tech stadium at home football games. Tech sells out every home game and Julia knows, from attending the games herself, that everyone eats a lot of food. She has to pay \$1,000 per game for a booth, and the booths are not very large. Vendors can sell either food or drinks on Tech property, but not both. Only the Tech athletic department concession stands can sell both inside the stadium. She thinks slices of cheese pizza, hot dogs and barbecue sandwiches are the most popular food items among fans and so these are the items she would sell.
Most food items are sold during the hour before the game starts and during half time, thus it will not be possible for Julia to prepare the food while she is selling it. She must prepare the food ahead of times and then store it in a warming oven. For \$600 she can lease a warming oven for the six-game home season. The oven has 16 shelves and each shelf is 3 feet by 4 feet. She plans to fill the oven with the three food items before the game and then again before half time.
Julia has negotiated with a local pizza delivering company to deliver 14 inch cheese pizzas twice each game 2 hours before the game and right after the opening kickoff. Each pizza will cost her \$6 and will include 8 slices. She estimates it will cost her \$0.45 for each hot dog and \$0.90 for each barbecue sandwich if she makes the barbecue herself the…

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# Math 5

37% of college students say they use credit cards because of the rewards program. You randomly select 10 college students and ask each to name the reason he or she uses credit cards. Find the probability that the number of college students who say they use credit cards because of the rewards program is (a) exactly two, (b) more than two, and (c) between two and five inclusive. If convenient, use technology to find the probabilities.

(a) P (2) =____ ( round to nearest thousandth as needed)

(b)

(C)

# vitaplus threats

just do what in the attached file

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The writer has to write about half page single space paper on the threats from the SWOT analysis for a company called VITAPLUS, which is located in Michigan and Wisconsin. Again the writer just has to do the threats (internal and external) for the SWOT and no introduction is needed because itâs going to be on group project. The writer can collect data from their website www.vitaplus.com or from the files Iâm going to upload about three other competitors companies annual reports and the opportunities of VITA PLUS so, you will have a better understanding of the feeding market and how these companies operate. AGAIN HALF PAGE NEEDED ONLY ON THE THREATS NOTHING ELSE AND IT HAS TO BE SINGLE SPACE.

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# Math

Write 3 paragraph response that correlates a country’s financial health to its citizens’ financial health. provide an analysis of date related to personal, corporate, or governmental decisions and the effects of these decisions on individual, family, or community spending. Provide at least two resources that support your analysis.

Support your ideas by connecting them to the something you have read, heard, seen

Focus your response on the following: one country, how decisions made by pick one of this following 1 individuals, corporation, or government can affect the financial health or pick one of the following, individual citizens, families or communities

Research data related to( pick one of the following) home ownership, mortgages, interest rates, inflation, and foreclosure rate or another economic measure.

Due on 4/10/13

# MATH 201

[12] 1. (a) Write an equation of the line passing through the point (2, 3) and
parallel to the line 3y + 6x 1 = 0.
(b) Write an equation of the line passing through the point ( 3, 0) and
orthogonal to the line that contains the points ( 4, 1) and (2, 2).
(c) Find the coordinates of the center and the radius of the circle
x2 + y 2 6y = 6

(d) Find the domain and the range of f (x) = x2 16 5 .
[9]

2.

Consider the quadratic function f (x) = 3 + 2x x2 .
(a) Express f (x) in standard form.
(b) Find the coordinates of the vertex and indicate whether it corresponds
to the maximum or the minimum of f .
(c) Find the x and y intercepts.
(d) Sketch the graph of f (x) using the information above.

[9]

3.

(a) Let f (x) = 53x 4 2. Find the inverse function f 1 (x).
(b) Let f (x) = ex+1 and g (x) = ln(x 1). Find g f and determine its domain.

[12] 4. Find the solutions of the following equations:
(a) 22x 2x+3 20 = 0
(b) log3 x + log3 (x + 2) 2 = 0

MATH 201
[12] 5.

Final Examination

December 2012

Page 2 of 2

Find the solutions of the following equations:
(a) 2 2x 8x = 0
(b) log5 (x + 1) log5 (x 1) = 2

[9] 6.

(a) Find the radius of the circle if its sector with a central angle
1
= radian has an area A = 9 m2 .
2
(b) A car s wheels are 70 cm in diameter. What is the speed of the car,
in km/hour, if the wheels rotate at 180 revolutions per minute ?

[12] 7.

Solve the triangle ABC (i.e. nd the missing sides and angles)
(a) A = 30 , B = 70 , b = 30 cm
(b) A = 53 b = 15 cm, c = 20 cm

[9]

8.

1
(a) Find the amplitude, period, and phase shift of y = 3 sin[ (x 3 )]

(b) A ladder leans against a vertical wall of a building so that the angle
between the ground and the ladder is 72 and its bottom on the ground
is at 3 m from the wall. How long is the ladder? How high does it reach?
[6]

9.

Verify the identities
sin x
1 cos x

=0
sin x
1 + cos x
cot x
(b) csc x sin x =
sec x

(a)

[10] 10.

Solve the following trigonometric equations in [0, 2 ]
(a)
(b)

[5] 11.

sin2 x + sin x = cos2 x
sin 2x cos x + cos 2x sin x = 1

Bonus Question
If a function f (x) is dened for all real x and has an inverse f 1 (x), does it
necessarily follow that also g (x) = [f (x)]2 has an inverse g 1 (x) ?
Explain why it does, or give an example when it does not.

# Math 533 Course Project A

AJ DAVIS is a department store chain, which has many credit customers and wants to find out more information about these customers. A sample of 50 credit customers is selected with data collected on the following five variables:

LOCATION (Rural, Urban, Suburban)
INCOME (in \$1,000’s be careful with this)
SIZE (Household Size, meaning number of people living in the household)
YEARS (the number of years that the customer has lived in the current location)
CREDIT BALANCE (the customers current credit card balance on the store’s credit card, in \$).
The data appears below, and is available in Doc Sharing Course Project Data Set as an EXCEL file:

PROJECT PART A: Exploratory Data Analysis

Open the file MATH533 Project Consumer.xls from the Course Project Data Set folder in Doc Sharing.
For each of the five variables, process, organize, present and summarize the data. Analyze each variable by itself using graphical and numerical techniques of summarization. Use MINITAB as much as possible, explaining what the printout tells you. You may wish to use some of the following graphs: stem-leaf diagram, frequency/relative frequency table, histogram, boxplot, dotplot, pie chart, bar graph. Caution: not all of these are appropriate for each of these variables, nor are they all necessary. More is not necessarily better. In addition be sure to find the appropriate measures of central tendency, and measures of dispersion for the above data. Where appropriate use the five number summary (the Min, Q1, Median, Q3, Max). Once again, use MINITAB as appropriate, and explain what the results mean.
Analyze the connections or relationships between the variables. There are ten pairings here (Location and Income, Location and Size, Location and Years, Location and Credit Balance, income and Size, Income and Years, Income and Balance, Size and Years, Size and Credit Balance, Years and Credit Balance). Use graphical as well as numerical summary measures. Explain what you see. Be sure to consider all 10 pairings. Some variables show clear relationships, while others do not.
Prepare your report in Microsoft Word (or some other word processing package), integrating your graphs and tables with text explanations and interpretations. Be sure that you have graphical and numerical back up for your explanations and interpretations. Be selective in what you include in the report. I’m not looking for a 20 page report on every variable and every possible relationship (that’s 15 things to do). Rather what I want you do is to highlight what you see for three individual variables (no more than 1 graph for each, one or two measures of central tendency and variability (as appropriate), and two or three sentences of interpretation). For the 10 pairings, identify and report only on three of the pairings, again using graphical and numerical summary (as appropriate), with interpretations. Please note that at least one of your pairings must include Location and at least one of your pairings must not include Location.
All DeVry University policies are in effect, including the plagiarism policy.
Project Part A report is due by the end of Week 2.
Project Part A is worth 100 total points. See grading rubric below.
Submission: The report from part 4 including all relevant graphs and numerical analysis along with interpretations.

# MAT540 Assignment #3: Case Problem “Julia”?s Food Booth”?

MAT 540 Assignment #3: Case Problem Julia s Food Booth (***** Calculated In Excel Sheet + Answered All question in Microsoft word files with APA Format *****)

Complete the Julia s Food Booth case problem on page 109 of the text. Address each of the issues A D according the instructions given.

(A) Formulate and solve an L.P. model for this case.

(B) Evaluate the prospect of borrowing money before the first game.

(C) Evaluate the prospect of paying a friend \$100/game to assist.

(D) Analyze the impact of uncertainties on the model.

MAT 540 Assignment 3 Case Problem Julia s Food Booth

MAT540 Assignment 3 Case Problem Julia s Food Booth

MAT/540 Assignment 3 Case Problem Julia s Food Booth

U can also purchase MAT540 Assignment 4 ( Click on below link )

http://www.homeworkmarket.com/content/mat-540-assignment-4-case-problem-stateline-shipping-and-transport-company

# Math

For this assignment you will need the prime interest rate, as posted in the Wall Street Journal.

Use the Internet to search for the current prime interest rate.

• List the current prime interest rate:_______________

Question 1

(5 points)

1. You have a credit card that is charging you 9.9% + the current prime rate. What is that interest rate on the credit card today?

Question 2

(5 points)

2. If this same card were issued 30 years ago, what would your interest rate be? In the event that there were multiple prime interest rates for a year, use the one that is 30 years from the day your class started. Use the Internet to determine what this rate is.

Question 3:

(20 points)

3. In the month of April, your credit card (which is charging you 9.9% + the current prime interest rate) has a balance of \$1000. On April 3rd you charge \$100, then on April 20th you put 15 gallons of gas on the card. On April 23rd your payment of \$400 arrives and is posted to your account. Finally, on April 27th you charge all of your food for the month for your family of 4.

a) What is your average daily balance at the end of the month on this card? Hint: You will need to research and find the cost of gas and food in order to solve this. Use the national average as of four months before the date Assignment is due. For instance, if your Assignment is due November 3rd, 2012, use the July 2012 national average.

b) How much interest will your card charge you this month, assuming interest is charged on the average daily balance?

c) If this card were using the interest rates of 30 years ago, how much interest would your card charge you this month?

# Math 222 Week 4 Discussion P38 (M or Z) and P48 (A or L) MS excel file

In this discussion, you will solve quadratic equations by two main methods: factoring and using the Quadratic Formula. Read the following instructions in order and view the example to complete this discussion:

• Find the problems assigned to you in the table below.
 If the third letter of your last name is On page 636, solve the following problem by factoring Solve the following problem by using the Quadratic Formula A or L 46 48 on p. 646 B or K 88 46 on p. 646 C or J 84 44 on p. 646 D or I 10 20 on p. 646 E or H 8 18 on p. 646 F or G 6 16 on p. 646 M or Z 38 48 on p. 636 N or Y 40 50 on p. 636 O or X 42 52 on p. 636 P or W 44 54 on p. 636 Q or V 80 56 on p. 637 R or U 2 78 on p. 637 S or T 4 82 on p. 637
• For the factoring problem, be sure you show all steps to the factoring and solving. Show a check of your solutions back into the original equation.
• For the Quadratic Formula problem, be sure that you use readable notation while you are working the computational steps. Refer to Inserting Math Symbolsfor guidance with formatting.
• Present your final solutions as decimal approximations carried out to the third decimal place. Due to the nature of these solutions, no check is required.
• Incorporate the following four math vocabulary words into your discussion. Use boldfont to emphasize the words in your writing (Do not write definitions for the words; use them appropriately in sentences describing your math work.):
• Factoring
• Completing the square
• Discriminant

Your initial post should be at least 250 words in length. Support your claims with examples from required material(s) and/or other scholarly resources, and properly cite any references. Respond to at least two of your classmates posts by Day 7.

# MATH 133 Unit 1 Individual Project A

MATH133 Unit 1 Individual Project A

1) The following graph shows the depreciation for the corporate airplane from 2006
to 2009. The plane was purchased new in 2006; therefore, x = 0 represents the
year 2006.

X axis (horizontal) = years starting from 0 = 2006 and increasing by 0.5 years
Y axis (vertical) = price in \$ amounts from 24,000 to 240,000
a) List the coordinates of two points on the graph in (x, y) form. The numbers on
the horizontal axis are 0.5, 1.0, 1.5, 2.0, 2.5, 3.0, and 3.5.
(___, ___),(___, ___)

b) Find the slope (rate of depreciation) of this line:

c) Find the linear equation of this line in slope-intercept form.

d) If the rate of depreciation continues at the present rate, what will be the plane s
value in the year 2019? Show how to use the linear equation from part c) to

2) Suppose that the width of a rectangle is 5 inches shorter than the length and that
the perimeter of the rectangle is 80 inches. The formula for the perimeter of a
rectangle is P=2L+2W.

a) Set up an equation for the perimeter involving only L, the length of the rectangle.

b) Solve this linear equation algebraically to find the length of the rectangle. Find
the width as well.

3) A marketing group developing online ad space is offering two payment options:
Option 1: \$225 set up fee plus \$10/inch of the ad
Option 2: No set up fee but \$25/inch of the ad

Let x = inches of the proposed ad, for example, x = 2 for a column ad that is 2
inches long.

a) Write a mathematical model representing the total ad cost, C, in terms of
x for the following:
Option 1: C=_________________
Option 2: C=_________________

b) How many inches of ad space would need to be purchased for option 1
to be less than option 2? Set up an inequality and show your work
algebraically using the information in part a).

4) Graph the equations on separate graphs by completing the tables and plotting
the points. You may use Excel or another web-based graphing utility.

a) Complete the table using the given values of x and the equation y = -3x + 7.
b) Graph the equation here by plotting the points from your table.For help on

creating your graph in Excel and inserting graphs into a Word Doc please see the

tutorial in the Assignment List.

# math 125

I want to get answers my my math 125 quiz.

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Quiz 9 – Spring 2013 Math 125 Precalculus Name Question 1: Simply the the expressions. Your answer should involve only sin t, cos t, and tan t. (2 pts) (a) (sec t cot t ?? csc t tan t) sin t cos t (2 pts) (b) 1 2 csc t cos t ?? 3 cot t Question 2: Prove the following identities algebraically. (2 pts) (a) tan = 1 ?? cos 22 cos sin (2 pts) (b) (sin2 2t + cos2 2t)3 = 1 (2 pts) (c) sin4 x ?? cos4 x = sin2 x ?? cos2 x (2 pts) (d) 1 + sin cos = cos 1 ?? sin 1
Quiz 9 – Spring 2013 Math 125 Precalculus Name Question 3: Suppose that sin = 3=5 and is in the second quadrant. Find sin(2), cos(2), and tan(2) exactly. (4 pts) Question 4: Suppose p(x) = (1=x) + 1 and q(x) = x ?? 2. (2 pts) (a) Let r(x) = p(q(x)). Find a formula for r(x) and simplify it. (2 pts) (b) Write formulas for s(x) and t(x) such that p(x) = s(t(x)) , where s(x) 6= x and t(x) 6= x. Verify that p(x) = s(t(x)). (2 pts) (c) Let a be dierent from 0 and ??1. Find a simplied expression for p(p(a)). Question 5: Find the inverses of the functions. (2 pts) (a) g(x) = x ?? 2 2x + 3 (2 pts) (b) s(x) = 3 2 + log x 2

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# math

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In Unit 4, there are three main topics, variation, inequalities, and linear equations. You will be exposed to all three topics by either formulating a response or commenting on a classmate’s response to each one. In your original response, you will choose one type of problem to solve and post a complete solution. Then, in your responses to two classmates, you will comment on posts which involve the other two types of problems. Original Response
Responses to Classmates
4. Find the posts of two classmates who solved problems other than the type that you solved. In other words, if you solved a variation problem, you need to respond to a classmate’s formula problem and a classmate’s linear equation. Make sure that your responses to your classmates are substantive and advance the Discussion. You can check the classmate’s solution, show a different way to solve a problem, or help a classmate who has a question. The possibilities are endless.
LETTER FROM THE PROF.
Unit 4: Variation, Inequalities, and Graphing

Hi Great Class! There are two concepts that are very important in this week’s learning objectives:…

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# Math

Assignment 2: Linear Regression

In this assignment, you will use a spreadsheet to examine pairs of variables, using the method of linear regression, to determine if there is any correlation between the variables. Afterwards, you will postulate whether this correlation reveals a causal relationship (and why).

Clickhere to open the Excel spreadsheet containing the data for this assignment.

This spreadsheet contains the data from a study that attempted to see if there is a correlation between the hours that a student studies and the grade that they earned on a test. The correlation test you are about to run will help you to determine if there is, in fact, a correlation between study time and test score. If you find a strong correlation, then you will postulate whether you feel this indicates a causal relationship.

Below are instructions on how to perform this correlation test in Microsoft Excel.

In the Excel spreadsheet, perform the following operations:

2.With your mouse, highlight all of the data on the spreadsheet in columns A and B.
3.In the tabs at the top of the page, clickInsert.
4.In the Insert ribbon, in the Charts section, clickScatter. Be sure to select the option where it will just plot dots, it will be calledScatter with only Markers. If you do this right, then you’ll see a chart on the page.
5.Now, on the chart, right-click on one of the data points (dots). Just pick a dot somewhere near the middle of the distribution.
6.SelectAddTrendline from the drop-down menu that appears when you right-click on a dot.
7.A new menu will appear. SelectLinear, selectAutomatic, and click the boxes next toDisplay Equation on chart andDisplay r-squared value on chart.
8.ClickClose.
9.Now, you should see a line drawn through the dots. It will roughly cut through the middle of the dot distribution.
10.You’ll also see the linear regression equation and r2value displayed next to the line.

To see an examplespreadsheet containing a completed analysis clickhere.

Now that you ve completed your analysis and determined the linear regression formula and r2, it now time to report on the results of your study and examine your findings.

In a Microsoft Word document, respond to the following:

1.Report the sample you selected and the question that was explored in the study.
2.Report the r2 linear correlation coefficient and the linear regression equation produced in the Excel spreadsheet.
3.What would be the value of Pearson s r (simply the square root of r2)?
4.Would Pearson s r be positive or negative? What does this imply about the relationship between the factors in this study?
5.What is the implication of any correlation found between the variables in the study you picked?
6.Does this correlation imply a causal relationship? Explain.
7.Are there other variables that you think should have been examined that would have improved this study or help to pinpoint what factors are causal?

For this assignment, you will submit a spreadsheet and a report. The spreadsheet will be the Microsoft Excel file containing yourscatterplot and analysis. Name your Microsoft Excel file as follows: LastnameFirstInitial_M3_A2.xls.

The report will be a Microsoft Word document in which you will address all of the questions in this assignment in the form of a narrative. Name your Microsoft Word document as follows: LastnameFirstInitial_M3_A2.docx.

Submit both files to theM3: Assignment 2Dropbox byTuesday, January 21, 2014.

Maximum Points

Completescatterplot and attach as an Excel file (the fraction of variation in one variable should be accounted for by variation of the other).

56

Report the r2 correlation coefficient and linear regressionequation with slope and intercept included and stated whether the value of r is positive or negative.

96

Explain the implication of any linear relation, including its three components (scatterplot, r2value and linear equation) found between hours spent studying, and the exam score earned

 Hours of Study Exam score 7 63 4 60 3 48 2.5 51 16 80 5 65 1.7 53 13 83 12 80 6 73 9 65 18 82 4 85 8 67 9 69 11.5 72 12 74 14 75 17 78 21 91.5 20 94 25 97 22 93 24 89 19 90 26 88 27 95 18.5 84 25.5

# math 140 emergency assignment due in 5 hours

there are some questions from the book so you will DEFINITELY need the text book

THE TEXT BOOK IS : “Mathematical Excursions “, Aufmann, Lockwood, et.al. , Second Edition, Houghton Mifflin Company, 2007 (ISBN # 0-618-60853-2)

here is the assignment:

You will need to find John Conway s The Game of Life on the internet to do this lab.

1. Write 2- 3 paragraphs about the Game of Life. Do not cut and paste. Include at least the following:

a. Inventor and date

b. Rule of playing the game you and also the computers rules

c. What can be learned from playing the game

d. Anything else of importance

2. Play the game and record the results> Play the following scenarios

For the results tell me what ended up happening in each scenario. I do not need to now how many iterations it ran. Did the Blocks go to one pattern, did they oscillate between 2 or more patterns, did they die out and disappear, did they just stop.What happened after many iterations is what that I am interested in. You will want to run the game on fast or super fast to get to an end point.

a. 6X1 setup – 6 blocks across and 1 block high

b. 7/1 setup – 7 blocks across and 1 block high

c. 7 blocks across, one block high except left end which is 2 blocks high

d. 7 blocks across one block high except for each end – left is 2 blocks pointed up and right is 2 blocks high pointed down

e. Square composed of 4 blocks

f Square composed of 9 blocks

Come up with 4 other setups run and describe results for each of the 10 cases

3. Do problem # 56 on page 15 in the text

4. Do problem # 35 on page 28 of the text.

5. By 11:00 am a line has formed outside the crowded college bookstore. You ask the guard at the gate how long you can expect to wait. She provides you with the following information: She is permitted to let 2 people at a time enter the bookstore only after 6 people have left, students are leaving at a rate of 2 students per minute and she has just let 6 new students in. Also each student spends an average of 15 minutes gathering books and supplies and 10 minutes waiting in line to check out.

Currently 16 people are ahead of you in line. You know that it is a 10 minute walk to your noon class and you do not want to be late. Can you buy your books and still expect to make it to your noon class on time State you reasoning.

6. Three clocks in a train station give the following times: Clock A : 8:00

Clock B : 8:50, Clock C: 8:20. One clock is 20 minutes fast, One clock is slow, one clock is off by half an hour. What is the correct time?

# Strategic Management

David – Strategic Management Case Analysis section on how to prepare a strategic case analysis:
Deliverable Length:7 to 10 pages

# MATH

Math homework I need it within 12 hours from now.

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Question I Use the function of two independent variables x andy, f(xY)=f+4rY-&+4Y-9 (a) Find all the first and second orderpartial derivatives. (b) Find the stationary poin(s) of the function. (c) Classi& the stationarypoint(s) of the function. (4 marks) (4 marks) (4 marks) Question 2 Consider the differential equation il -‘ -d*-” *Ji, where />0, with the initial conditiony :0.427. when x: 0.3. (a) Use Euler mid-point method with step size 0.01 to calculate an approximate value fory(0.31) accurate to 6 decimal places, wherefix) is the solution of the equation satisffing the given initial condition. (5 marks) O) Using a computer program to calculate an approximation I(0.4), for y(0.4) by the Euler-trapezoidal method, the following values for I(0.4) were obtained for two different step sizes. Steo size r0.4) 0.05 0.s5r536 0.02 0.551521 Estimate the upper bound of the step size which would give an approximation to y{0.4) accurate to 6 decimal places, when used in the Euler-trapezoidal method. (7 marks)
?. Question 3 (a) Sketch the region in the r.y-plane bounded bf th1 ltnes x = l, ! = , *O r4:Jall; ‘ .” tt: ‘ (b) Evaluate the area integral f” (r’ -ydA , where S is the region in the rry-plane bounded by the lines x = L,!: 1 and the curvey:v * l. (9 marks) Question 4 (a) Considerthethreedimensionalsurfacegivenby, 2nt -3ry-4x=7 Determine a unit vector normal to the surface at the point (1,-1,2). (4 marks) O) Consider the scalar fietd given by, .f (x,y,4=*yz+ +x* Determine the directional derivative of this scalar field/at the point (1, -2, -l), and in the direction 2i_i_2b-(5 marks) (c) A vector field is given by, B(x, y, z) = 3xy* i + 2xf i -ly, k Determine the divergence of F at the point (1, -1, 1). (4 marks)
Question 5 The function/is defined onttre interval [0, a] by f (t)= lsin (r)l is to be represented by a Fourier series ofthe form r (t) = Ao * 2n, -{T)* ir,’*(ry) (a) Describe the definitions of the odd and even extensions of/that have period 2n and sketch…

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# Math

Consider the following data for a clinical laboratory.

Activity Annual Cost Cost Driver Test A Test B Test C Test D

Recieve specimen \$10,000 Number of Test 2,000 1,500 1,000 500

Equipment Setup \$25,000 Num of min per test 5 5 10 10

Run Test \$100,000 Num of min per test 1 5 10 20

Record Results \$10,000 Num of min per test 2 2 2 4

Transmit results \$5,000 Num of min per test 3 3 3 3

Total Cost \$150,000

A. Using ABC techniques, determine the allocation rate for each activity

B. Now, using this allocation rate, estimate the total cost of performing each test.

C. Verify that the total annual cost aggregated from individual test cost eqial the total annual cost of the laboratory given in the table above.

# Math 116 Final Exam

• 1. Find the slope, if it exists. x = -5
• 2. Solve the compound inequality. 4 > -2x + 3 or 10 -4x + 3
• 3. Use the intercepts to graph the equation. x + 2y = 4
• 4. Solve, then graph. y – 1 > -16
• 5. Graph the equation and identify the y-intercept. y + x = -6
• 6. Graph the equation. y = 6
• 7. In 1992, the life expectancy of males in a certain country was 63.7 years. In 1998, it was 67.4 years. Let E represent the life expectancy in year t and let t represent the number of years since 1992.

The linear function E(t) that fits data is? (Round to the nearest tenth)

Use the function to predict the life expectancy of males in 2004? (Round to the nearest tenth)

• 8. Solve, then graph. 9x 54
• 9. Solve the following system of equations. x + 8y = 3 (1) and x = 7 – 8y (2)
• 10. Decide whether the pair of lines is parallel, perpendicular, or neither.

5x + 2y = 9 and 5x + 2y = 1

• 11. Graph the inequality on a plane. 3x + 4y 12
• 12. Find the indicated outputs for f(x)= 4x2– 5x. f(0) = ? , f(-1) = ? , f(2) = ?
• 13. Find the slope, if it exists, of the line containing the pair of points. (2,1) and (4,-7)
• 14. Graph on a number line, where x is a real number. -5
• 15. On three consecutive passes, a football team gains 7 yards, loses 15 yards, and gains 10 yards. What number represents the total net yardage?
• 16. Graph the line containing the given pair of points and find the slope. (1,4) and (-2,-4)
• 17. Graph the system of inequalities. y -5 , x 6
• 18. Media Services charges \$20 for a phone and \$30/month for its economy plan. The equation c = 30t + 20 describes the total cost, c , of operating a Media Services phone for t months.

The total cost for 3 months of service is?

If a customer has only \$90 available, how many months of service can she receive?

Graph for the equation c = 30t + 20

• 19. Solve the system of equations. Then classify the system as consistent or inconsistent and the equations as dependent or independent.

6x – 7y = 21 , 7y – 6x = -21

What is the solution of the system of equations? Is it no solution? Is it a point? Or is it infinitely many solutions?

Is the system consistent or inconsistent?

Are the equations dependent or independent?

• 20. Find the domain of the function. g(x) = 10/8 – 3x (8 – 3x is the denominator)
• 21. Amy paid \$88.17 for a pair of running shoes during a 25% off sale. What was the regular price?
• 22. Translate to an algebraic expression. The product of 35% and some number
• 23. Soybean meal is 14% protein; cornmeal is 7% protein. How many pounds of each should be mixed together in order to get 280 lb. mixture that is 13% protein?
• 24. Solve by elimination method.

5x + 6y = 4

10x + 12y = 8

• 25. Graph the equation using the slope and the y-intercept. y = 5/3(x) + 5
• 26. Use the intercepts to graph the equation. x + 4y = 8
• 27. Solve by elimination.

3r – 5s = -12

5r + 3s = 14

Attachments:

# i will attach the file for half of them this is my final paper .

Assignment:
Essay/Trace the Rise and Fall of Ancient Rome (about 3 pages). Please
include the Punic Wars (expansion), Political Structure, First and Second
Triumverate (Expansion), Reformers (Gracchi) and the Four Leadership Groups as
well as the Reasons for Decline. this is my western civilization assignment final paper. i don’t need anyplagiarism in this essay . i need clear everything this essay plz make sure. write very well and i need page number and also in ms word and i need reference complete where you pick up some information

thanks

# MATH 133 Unit 2 Discussion Board / (Modeling Costs for the General Store)

Modeling Costs for the General Store

1. Remember the form of a quadratic function equation: y = f(x) = ax2 + bx + c

2. You will use: W(x) = -0.1x2 + bx + c where (-0.1x2 + bx) represents the store’s variable costs and c is the store’s fixed costs.

3. Choose a value between 10 and 20 for b; that value does not have to be a whole number.

4. So, W(x)is the store’s total monthly costs based on the number of items sold, x.

5. Think about what the variable and fixed costs might be for your fictitious storefront business – and be creative. Start by choosing a fixed cost, c, between \$5,000 and \$10,000, according to the following class chart (make sure the combination of your b and your c do not match exactly any of your classmates’):

 If your last name starts with the letter Choose a fixed cost between A E \$5,000 \$5,700 F I \$5,800 \$6,400 J L \$6,500 \$7,100 M O \$7,200 \$7,800 P R \$7,800 \$8,500 S T \$8,600 \$9,200 U Z \$9,300 \$10,000

6. Post your chosen c value in your subject line, so your classmates can easily scan the discussion thread and try to avoid duplicating your cvalue. (Different c values make for more discussion.)

7. Your monthly cost is then, W = -0.1x2 + bx + c.

8. Substitute the c value chosen in the previous step to complete your unique equation predicting your monthly costs.

9. Next, choose two values of x (number of items sold) between 50 and 100. Again, try to choose different values from classmates.

10. Plug these values into your model for W and evaluate the monthly business costs given that sales volume.

11. Discuss results of these cost calculations and how these calculations could influence business decisions.

12. Is there a maximum cost for your General Store? If so, how many units must be sold to produce the maximum cost, and what is that maximum cost? How would knowing the number of items sold that produces the maximum cost help you to run your General Store more efficiently?

# math 1

 Choose one problem below to complete that has not been chosen by one of your classmates. Also, be sure to post at lease two additional times. Answer True or False and explain your reasoning: To change a percent to a decimal, replace the percent symbol with 1/100 and divide The opposite of a number is the negative of that number. The number 0 is a positive number. Division by 0 is undefined The product of an even number of negative numbers is negative. 3x y is an equation. When multiplying terms with the same base the exponents are also multiplied. The expression 4(x 3) is equivalent to 4x 3. Please also anwser the 45 questions
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Question I Use the function of two independent variables x andy, f(xY)=f+4rY-&+4Y-9 (a) Find all the first and second orderpartial derivatives. (b) Find the stationary poin(s) of the function. (c) Classi& the stationarypoint(s) of the function. (4 marks) (4 marks) (4 marks) Question 2 Consider the differential equation il -‘ -d*-” *Ji, where />0, with the initial conditiony :0.427. when x: 0.3. (a) Use Euler mid-point method with step size 0.01 to calculate an approximate value fory(0.31) accurate to 6 decimal places, wherefix) is the solution of the equation satisffing the given initial condition. (5 marks) O) Using a computer program to calculate an approximation I(0.4), for y(0.4) by the Euler-trapezoidal method, the following values for I(0.4) were obtained for two different step sizes. Steo size r0.4) 0.05 0.s5r536 0.02 0.551521 Estimate the upper bound of the step size which would give an approximation to y{0.4) accurate to 6 decimal places, when used in the Euler-trapezoidal method. (7 marks)
?. Question 3 (a) Sketch the region in the r.y-plane bounded bf th1 ltnes x = l, ! = , *O r4:Jall; ‘ .” tt: ‘ (b) Evaluate the area integral f” (r’ -ydA , where S is the region in the rry-plane bounded by the lines x = L,!: 1 and the curvey:v * l. (9 marks) Question 4 (a) Considerthethreedimensionalsurfacegivenby, 2nt -3ry-4x=7 Determine a unit vector normal to the surface at the point (1,-1,2). (4 marks) O) Consider the scalar fietd given by, .f (x,y,4=*yz+ +x* Determine the directional derivative of this scalar field/at the point (1, -2, -l), and in the direction 2i_i_2b-(5 marks) (c) A vector field is given by, B(x, y, z) = 3xy* i + 2xf i -ly, k Determine the divergence of F at the point (1, -1, 1). (4 marks)
Question 5 The function/is defined onttre interval [0, a] by f (t)= lsin (r)l is to be represented by a Fourier series ofthe form r (t) = Ao * 2n, -{T)* ir,’*(ry) (a) Describe the definitions of the odd and even extensions of/that have period 2n and sketch…

Attachments:

# Math

(Sample) Loan Project: Buying a House in Purcellville, Virginia Submitted by Suzanne Sands Purpose: To analyze the financial implications of purchasing a house. Task (1): House Description: I decided to choose a house in my hometown. This house is typical of homes in the new developments around town. I have no interest in moving, though —I am happy in my own house, which was built in the 1970s and does not look like this house at all!) Asking price: \$439,000 Real estate taxes: \$4,836 (found in the http://www.loudoun.

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(Sample) Loan Project: Buying a House in Purcellville, Virginia Submitted by Suzanne Sands Purpose: To analyze the financial implications of purchasing a house. Task (1): House Description: I decided to choose a house in my hometown. This house is typical of homes in the new developments around town. I have no interest in moving, though —I am happy in my own house, which was built in the 1970s and does not look like this house at all!) Asking price: \$439,000 Real estate taxes: \$4,836 (found in the http://www.loudoun.gov property database) Purchase Price: \$388,400 (I chose this value because it was the assessed value at the time this project was prepared, according to the county property database) Current market interest rate (30 yr fixed rate): 4.625% through AimLoan.com (found at http://www.bankrate.com, by doing a search for my zipcode) [NOTE: This sample project was completed quite some time ago, so interest rates, taxes, and purchase prices could be quite different now.]

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# math 126 re write by tonight

Survey of Mathematical Methods
MAT 126
March 11, 2013
The first project prescribed this week pertains to quadratic equations. Quadratic equations date back to 1800 BC and 1600 BC. The Babylonians left the earliest evidence of quadratic equations, and provided methods for solving them. This week we look at the Indian quadratic equations and the method for solving them.

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Survey of Mathematical Methods
MAT 126
March 11, 2013
The first project prescribed this week pertains to quadratic equations. Quadratic equations date back to 1800 BC and 1600 BC. The Babylonians left the earliest evidence of quadratic equations, and provided methods for solving them. This week we look at the Indian quadratic equations and the method for solving them. Quadratic equation is defined as “one or more of the terms is squared but raised to no higher power, having the general form , where a, b, and c are constants” (American Heritage Dictionary, 2003). The second project prescribed this week deals with prime numbers. A prime number is defined as “a positive integer not divisible without a remainder by any positive integer other than itself and one” (American Heritage Dictionary, 2003).
Project 1: Bluman, 2005, page 331 (Equations A and C)
Equation A

b.
c.
d. v ( = v56 v( = v56
e.
f.
The solution would be and
Equation C
0
a.
b.
c.
d. v ( = v400
v( = v400
e.
= 4
f. x)
= -16
The solution would be and
Project 2: Bluman, 2005, page 331
First, let’s choose x = 0
(This is prime)
If we then substitute x = 2
(This is prime)
Then substitute x = 5
(This is prime)
Then substitute x= 7
(This is prime)
Finally, let’s choose x = 41
(This is a composite)
When we substitute 41 for x we get a composite number.
After completing this exercise I considered when an individual would us a quadratic equation. I found it very interesting that quadratic equations are used quite frequently by the military to determine missile trajectories. They use computers almost exclusively, but the computer bases the trajectories on the quadratic formula. The second use I found was for amplifiers in car stereos. Electrical engineers use the formula to determine the response needed to provide the best sound quality.
When…

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# MAT222 100% Score guaranteed

 B or O 90 and 56

Factorisation means the given polynomial is written as product of factors. When we multiply the factors we get back the polynomial back.

Whenever there are two or more terms we try finding the GCF of all the terms, from variables we see what is common to each term and the numbers are written as product of prime factors and then we find GCF –

# MAT221- Week 1 Assignments

Hello, To ensure that all formulas were formatted correctly I have copied and pasted the assigment verbatim in a Word Document & attached it to this Homework Post. If you are unable to open it and read it please let me know and I will work with you to make necessary changes.

This task will also include completing Week 1’s Alesk lab and homework assignment as well as responding to at least 2 classmates initial post.

The 3 attachments label classmate 1,2, and 3 responses have been added to this order. You only have to choose 2 of the 3 to respond to. Answering the following questions: Do you agree with how your classmates used the vocabulary? Did the student handle the negatives in the formulas accurately? If not explain why.

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CLASSMATE #3

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# MAT222 100% Score guaranteed

Read the following instructions in order to complete this assignment:

1. Solve problem 56 on page 437 of Elementary and Intermediate Algebra. Set up the two ratios and write your equation choosing an appropriate variable for the bear population.
2. Complete problem 10 on page 444 of Elementary and Intermediate Algebra. Show all steps in solving the problem and explain what you are doing as you go along.
3. Write a two to three page paper that is formatted in APA style and according to theMath Writing Guide. Format your math work as shown in theexample and be concise in your reasoning. In the body of your essay, please make sure to include:
• Your solution to the above problems, making sure to include all mathematical work, and an explanation for each step
• A discussion of the following: What form of an equation do you end up with in problem 10? What do you notice about the coefficient of x compared to the original problem? Do you think there might be another way to solve this equation for y than with the proportion method? How would you do it?
• An incorporation of the following four math vocabulary words into your paper. Use bold font to emphasize the words in your writing. (Do not write definitions for the words; use them appropriately in sentences describing your math work.):
• Extraneous
• Proportion
• Cross multiply
• Extreme-means

# Math 101 Homework

INSTRUCTIONS: Read the references found on the Background Info page. Study the examples there, and the ones given below. Work out the problems, showing all the computational steps. This is particularly important for those problems where the answer is given. On those problems, the correct procedure is the only thing that counts toward the assignment grade.
Examples: Solve for x. Check by substituting your value for x into the original expression.
Problems:
Solve for x, unless otherwise indicated.

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INSTRUCTIONS: Read the references found on the Background Info page. Study the examples there, and the ones given below. Work out the problems, showing all the computational steps. This is particularly important for those problems where the answer is given. On those problems, the correct procedure is the only thing that counts toward the assignment grade.
Examples: Solve for x. Check by substituting your value for x into the original expression.
Problems:
Solve for x, unless otherwise indicated. Substitute your calculated value into the original expression.
1. Ans: x=36
2.
3.
4. 5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
ADDING / SUBTRACTING / MULTIPLYING POLYNOMIALS:
References:
Example:
You are given two polynomials. (Remember that monomials such as 2x and binomials such as 2x+1 are special cases of polynomials). For each problem, calculate the sum, difference and product of the two polynomials.
Problems 16 through 25: Calculate the sum, difference and product of the two polynomials.
16.
17.
18.
19.
20.
21. 22.
23.
24. 25.
— end —

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Assignment:
Essay/Trace the Rise and Fall of Ancient Rome (about 3 pages). Please
include the Punic Wars (expansion), Political Structure, First and Second
Triumverate (Expansion), Reformers (Gracchi) and the Four Leadership Groups as
well as the Reasons for Decline. . i need the 3 pages and i need the reference and pages number and i need work in ms word .i don’t need any plagiarism and i need very clear essay and this is my final paper so plz make your the your expert right different information and i need different expert .

thx

# MAT 540 Week 9 Quiz 5

1. In a _______ integer model, some solution values for decision variables are integer and others can be non-integer.

a. total

b. 0 1

c. mixed

d. all of the above

2. In a total integer model, some solution values for decision variables are integer and others can be non-integer. TRUE/FALSE

3. In a problem involving capital budgeting applications, the 0-1 variables designate the acceptance or rejection of the different projects. TRUE/FALSE

4. If a maximization linear programming problem consist of all less-than-or-equal-to constraints with all positive coefficients and the objective function consists of all positive objective function coefficients, then rounding down the linear programming optimal solution values of the decision variables will ______ result in a(n) _____ solution to the integer linear programming problem.

A) always, optimal

B) always, non-optimal

C) never, non-optimal

D) sometimes, optimal

E) never, optimal

5. The branch and bound method of solving linear integer programming problems is an enumeration method. TRUE/FALSE

6. In a mixed integer model, all decision variables have integer solution values.

TRUE/FALSE

7. For a maximization integer linear programming problem, feasible solution is ensured by rounding _______ non-integer solution values if all of the constraints are less-than -or equal- to type.

A) up and down

B) up

C) down

D) up or down

8. In a total integer model, all decision variables have integer solution values. TRUE/FALSE

9. The 3 types of integer programming models are total, 0 – 1, and mixed. TRUE/FALSE

10. The branch and bound method of solving linear integer programming problems is _______.

A) an integer method

B) a relaxation method

C) a graphical solution

D) an enumeration method

11. The linear programming relaxation contains the _______ and the original constraints of the integer programming problem, but drops all integer restrictions.

different variables

slack values

objective function

decision variables

surplus variables

12. The branch and bound method can only be used for maximization integer programming problems. TRUE/FALSE

13. The solution value (Z) to the linear programming relaxation of a minimization problem will always be less than or equal to the optimal solution value (Z) of the integer programming minimization problem TRUE/FALSE

14. The implicit enumeration method

A) generates an optimal integer solution when no new constraints can be added to the relaxed linear programming model

B) eliminates obviously infeasible solutions and evaluates the remaining solutions to determine which one is optimal

C) is used to solve a mixed integer linear programming model

D) cannot be used to solve linear programming models with multiple infeasible solutions

15.Types of integer programming models are _____________.

A) total

B) 0 – 1

C) mixed

D) all of the above

16. In a 0 – 1 integer model, the solution values of the decision variables are 0 or 1.

TRUE/FALSE

17. Which of the following is not an integer linear programming problem?

A) pure integer

B) mixed integer

C) 0-1integer

D) continuous

18. In a mixed integer model, some solution values for decision variables are integer and others can be non-integer. TRUE/FALSE

19. Rounding small values of decision variables to the nearest integer value causes _______ problems than rounding large values.

similar

more

fewer

none of the above

20. In using rounding of a linear programming model to obtain an integer solution, the solution is ___________.

always optimal and feasible

sometimes optimal and feasible

always optimal

always feasible

never optimal and feasible

# Math 105 Phase 5 Individual Project

Part II: Markups and Markdowns A manufacturer produces ceiling fans at a cost of \$38.25 per fan. During the summer months, it sells the fan in one of its retail outlets at a price of \$55.00. However, during the fall and winter season, the manufacturer discounts its fans by 20% off the \$55.00 list price. If you were to order 15 fans in the summer and 18 in the winter, what would be the total price paid?

Part III: Open/Closed End Credit It’s time to go shopping!

You grab your Best Purchase credit card, which has an annual interest rate of 18%. Assume that you have a previous charged balance of \$285.76 (before interest has been applied) on the card.

On your shopping trip, you purchased three items: a Blu-ray player, two 4-GB flash drives, and a 19-inch flat-screen television. You purchase all the items on your credit card for a total of \$352.18. When the bill comes at the end of the month you decide to pay all of the charges.

Answer the following questions, showing any needed calculations. (Round all your answers to nearest hundredth or cent.)

Part IV: Simple Interest (Applying Percentages, Decimals, and Fractions)

Student loans are a hot discussion when it comes to paying back not only the initial borrowed amount but interest on

top of the loan. Typical student loans do not start accumulating interest until after the student has been out of

school, usually one year.

Base the following that the individual has been out of school and is starting to look at the interest on a student loan.

Give an example of an amount of a realistic student loan for an individual that attended a university for at least 2

years.

Research and find the current average interest rate for student loans. Be sure to reference the site(s) you chose

www.finaid.org

Date Disbursed Type In-School Rate Repayment Rate

7/2010-6/2012 Stafford 6.80% 6.80%

PLUS 7.90% 7.90%

How much interest was charged at the end of the first day of the loan (assuming no payments have been made and interest accumulates at the end of the first day)

Part V: Sales Tax Sales tax on the purchase of a vehicle is calculated on the net purchase price (which is the total purchase price minus the amount allowed by a dealer for any trade-in). The rate of tax for residents in Denver, CO is as follows: Colorado state tax: 2.90% Regional transportation district (RTD) tax: 1.20% Denver city tax: 3.62%

Using the information above, answer the following:

What is the total sales tax to be paid in 2002 on the purchase of a 2002 passenger vehicle with a sales price of \$17,000 and a \$2,000 trade-in allowance?

Part VI: Property Tax Which job should you take?

After completing your degree, you have a choice between 2 jobs.

Suppose that you do not have a preference in location and have been given the following offers:

—–The first position is in Pennsylvania, earning \$50,000 a year. You found a starter duplex that you can purchase with the assessed value of \$75,000. Property taxes average 2.975% of the purchase price. The state sales tax is 6% on purchases, but this does not apply to food and clothing. The state income tax is 3%.

—–The second offer is in Maryland. You would earn \$65,000, with a starter duplex assessed at \$135,000. In Maryland, property taxes are 2.4% of the purchase price of the property. The sales taxes are 1% higher than in Pennsylvania, and it also applies to food and clothing. Maryland’s state income tax is 1.5% higher than Pennsylvania’s. You estimate your annual purchases are approximately \$18,000, plus an additional \$6,000 in food and clothing.

—–With the data above, complete the following table, with all values rounded to the nearest cent. [Note that the Difference column is the difference between Pennsylvania s and Maryland s values.]

—–(Hint: Property tax only applies to housing, state sales tax only applies to purchases and food and clothing when applicable, and income tax only applies to the salary):

—-Tax PA MD; Difference: Salary, House Value, Purchases, Food and Clothing, Net Purchases, Property Taxes, Sales Taxes, State Income Taxes, Cost of Living

—–What is the difference in cost of living between the 2 locations based on the differences in sales tax, income tax, and property tax?

You estimate your annual purchases are approximately \$18,000, plus an additional \$6,000 in food and clothing

# mat540 – Quiz – Week- 2

Seventy two percent of all observations fall within 1 standard deviation of the mean if the data is normally distributed.

If two events are not mutually exclusive, then P(A or B) = P(A) + P(B).

Probability trees are used only to compute conditional probabilities.

The minimin criterion is optimistic.

Using the minimax regret criterion, we first construct a table of regrets.Subsequently, for each possible decision, we look across the states of nature and make a note of the maximum regret possible for that decision.We then pick the decision with the largest maximum regret.

Both maximin and minimin criteria are optimistic.

The equal likelihood criterion assigns a probability of 0.5 to each state of nature, regardless of how many states of nature there are.

Assume that it takes a college student an average of 5 minutes to find a parking spot in the main parking lot. Assume also that this time is normally distributed with a standard deviation of 2 minutes. Find the probability that a randomly selected college student will take between 2 and 6 minutes to find a parking spot in the main parking lot.

The chi-square test is a statistical test to see if an observed data fit a _________.

The metropolitan airport commission is considering the establishment of limitations on noise pollution around a local airport. At the present time, the noise level per jet takeoff in one neighborhood near the airport is approximately normally distributed with a mean of 100 decibels and a standard deviation of 3 decibels. What is the probability that a randomly selected jet will generate a noise level of more than 105 decibels?

A business owner is trying to decide whether to buy, rent, or lease office space and has constructed the following payoff table based on whether business is brisk or slow.

If the probability of brisk business is .40 and for slow business is .60, the expected value of perfect information is:

A group of friends are planning a recreational outing and have constructed the following payoff table to help them decide which activity to engage in. Assume that the payoffs represent their level of enjoyment for each activity under the various weather conditions.

Weather
Cold Warm Rainy
S1 S2 S3
Bike: A1 10 8 6
Hike: A2 14 15 2
Fish: A3 7 8 9

If the group chooses to minimize their maximum regret, what activity will they choose?

A business owner is trying to decide whether to buy, rent, or lease office space and has constructed the following payoff table based on whether business is brisk or slow.

The maximax strategy is:

A group of friends are planning a recreational outing and have constructed the following payoff table to help them decide which activity to engage in. Assume that the payoffs represent their level of enjoyment for each activity under the various weather conditions.

Weather
Cold Warm Rainy
S1 S2 S3
Bike: A1 10 8 6
Hike: A2 14 15 2
Fish: A3 7 8 9

What is the conservative decision for this situation?

A life insurance company wants to update its actuarial tables. Assume that the probability distribution of the lifetimes of the participants is approximately a normal distribution with a mean of 71 years and a standard deviation of 3.5 years. What proportion of the plan participants are expected to see their 75th birthday?Note: Write your answers with two places after the decimal, rounding off as appropriate.

A brand of television has a lifetime that is normally distributed with a mean of 7 years and a standard deviation of 2.5 years. What is the probability that a randomly chosen TV will last more than 8 years?Note: Write your answers with two places after the decimal, rounding off as appropriate.

A manager has developed a payoff table that indicates the profits associated with a set of alternatives under 2 possible states of nature.

Alt S1 S2
1 10 2
2 -2 8
3 8 5

What is the highest expected value? Assume that the probability of S2 is equal to 0.4.

The quality control manager for ENTA Inc. must decide whether to accept (a1), further analyze (a2) or reject (a3) a lot of incoming material. Assume the following payoff table is available. Historical data indicates that there is 30% chance that the lot is poor quality (s1), 50 % chance that the lot is fair quality (s2) and 20% chance that the lot is good quality (s3).

What is the numerical value of the minimax regret?

The quality control manager for ENTA Inc. must decide whether to accept (a1), further analyze (a2) or reject (a3) a lot of incoming material. Assume the following payoff table is available. Historical data indicates that there is 30% chance that the lot is poor quality (s1), 50 % chance that the lot is fair quality (s2) and 20% chance that the lot is good quality (s3).

What is the numerical value of the maximin?

A business owner is trying to decide whether to buy, rent, or lease office space and has constructed the following payoff table based on whether business is brisk or slow.

If the probability of brisk business is .40, what is the numerical maximum expected value?

# MAT222 100% Score guaranteed

 O or X 42 52 on p. 636

1) y2 3y 10 = 0

2) x2 7x + 4= 0

For the factoring problem, be sure you show all steps to the factoring and solving. Show a check of your solutions back into the original equation.

• For the Quadratic Formula problem, be sure that you use readable notation while you are working the computational steps. Refer toInserting Math Symbolsfor guidance with formatting.
• Present your final solutions as decimal approximations carried out to the third decimal place. Due to the nature of these solutions, no check is required.
• Incorporate the following four math vocabulary words into your discussion. Use boldfont to emphasize the words in your writing (Do not write definitions for the words; use them appropriately in sentences describing your math work.):
• Factoring
• Completing the square
• Discriminant

Your initial post should be at least 250 words in length. Support your claims with examples from required material(s) and/or other scholarly resources, and properly cite any references.

# math 8.1

Original post

Write and post a real world word problem that can be solved using permutation or combination. All of the information necessary to solve the problem must be included.

First Response to a ClassmateChoose one of your classmates problems that have not been solved by another student and write and post a complete solution. Show and explain all of your work. You can use a calculator to evaluate the permutation or combination, so you do not have to show the work for that.

1st Student Post

My family is baking cookies with all the leftover materials from the holidays, this is what we have left out of the bunch:
hershey kisses
candy snowflakes
m&m’ s
red sprinkles
green sprinkles
icing

How many different cookies can we make with all of the toppings left?

6*5*4*3*2*1=720
now that’s a whole lot of cookies (if I did it right)

Second Response to a ClassmateFind a classmate s solution that hasnot already been checked by a classmate. Is the solution correct? Why or why not? If it is not correct, post a corrected solution. In either case, show all work and give a complete explanation.

2nd Student Post

I am going to use my favorite food Pizza.

4 Toppings

8 Choices

Pineapple,Ham,Chicken,Pepperoni,Olives,Green Peppers,Onions,Hamburger.

How many combinations can we get out of these ingredients?

A Survey of Mathematics 9th Edition. Angel, Abbott, Runde

# math analysis

Midterm 2 Due 11.13.13 by 3pm. Submit the exam to me in oce 1119 of WWH. Late exams will not be accepted. 1.(20 points) Let f : Rd ! R be a C1 function such that f(ax) = akf(x) for any a 2 R where k 1 is an integer. Show that rf(x) x = kf(x) 2.(10 points) Let f(x; y) = cos(ex + 3y). Compute D2f. Remark: D2f is just the derivative of the rf. 3.(20 points) Let Rd be open. Suppose that f : ! R satises Xd j=1 @2f @x2j = 0: Let : R ! R be a C1 function and assume it is convex (also known as concave up). Show that g(x) = (f(x)) satises Xd j=1 @2g @x2j 0; when x 2 . 4.

Document Preview:

Midterm 2 Due 11.13.13 by 3pm. Submit the exam to me in oce 1119 of WWH. Late exams will not be accepted. 1.(20 points) Let f : Rd ! R be a C1 function such that f(ax) = akf(x) for any a 2 R where k 1 is an integer. Show that rf(x) x = kf(x) 2.(10 points) Let f(x; y) = cos(ex + 3y). Compute D2f. Remark: D2f is just the derivative of the rf. 3.(20 points) Let Rd be open. Suppose that f : ! R satises Xd j=1 @2f @x2j = 0: Let : R ! R be a C1 function and assume it is convex (also known as concave up). Show that g(x) = (f(x)) satises Xd j=1 @2g @x2j 0; when x 2 . 4.(20 points) Use Taylor’s theorem to prove the expansion (x + y)n = Xn k=0 nk xn??kyk 1

Attachments:

# MAT222 100% Score guaranteed

• There are many ways to go about solving math problems. For this assignment you will be required to do some work that will not be included in the discussion. First, you need to graph your functions so you can clearly describe the graphs in your discussion. Your graph itself is not required in your post, although the discussion of the graph is required. Make sure you have at least five points for each equation to graph. Show all math work for finding the points.
• Specifically mention any key points on the graphs, including intercepts, vertex, or start/end points. (Points with decimal values need not be listed, as they might be found in a square root function. Stick to integer value points.)
• Discuss the general shape and location of each of your graphs.
• State the domain and range for each of your equations. Write them in interval notation.
• State whether each of the equations is a function or not giving your reasons for the answer.
• Select one of your graphs and assume it has been shifted three units upward and four units to the left. Discuss how this transformation affects the equation by rewriting the equation to incorporate those numbers.
• Incorporate the following five math vocabulary words into your discussion. Use boldfont to emphasize the words in your writing (Do not write definitions for the words; use them appropriately in sentences describing the thought behind your math work.):
• Function
• Relation
• Domain
• Range
• Transformation

 M or N 16 and 50

Questions are 16 h(x) = |-2x| 50 x = -3