1.The magnitudes IFaI = 40 N and |Ea + Eg| = 80 N. The angle a = 60°. Graphically determine the…

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1.The magnitudes IFaI = 40 N and |Ea + Eg| = 80 N. The angle a = 60°. Graphically determine the magnitude of Fa

2. The magnitudes |E^| = 100 lb and |Eg| = 140 lb. The angle a = 40°. Use trigonometry to determine the magnitude of the sum of the forces E = Fa + Eg and the angle between Eg and Strategy: Use the laws of sines and cosines to analyze the triangles formed by the parallelogram rule for the sum of the forces as we did in Example 2.1. The laws of sines and cosines are given in Section A.2 of Appendix

 

Pubs In England, a Leeds University researcher said that the local watering hole’s welcoming…

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Pubs In England, a Leeds University researcher said that the local watering hole’s welcoming atmosphere helps men get rid of the stresses of modern life and is vital for their psychological well-being. Author of the report, Dr. Colin Gill, said rather than complain, women should encourage men to “pop out for a swift half.” “Pub-time allows men to bond with friends and colleagues,” he said. “Men need break-out time as much as women and are mentally healthier for it.” Gill added that men might feel unfulfilled or empty if they had not been to the pub for a week. The report, commissioned by alcohol-free beer brand Kaliber, surveyed 900 men on their reasons for going to the pub. More than 40% said they went for the conversation, with relaxation and a friendly atmosphere being the other most common reasons. Only 1 in 10 listed alcohol as the overriding reason.

         Let’s examine this news story from a statistical perspective.

a)      What are the W’s: Who, What, When, Where, Why, How?

b)      What population does the researcher think the study applies to?

c)       What is the most important thing about the selection process that the article does not tell us?

d)      How do you think the 900 respondents were selected? (Name a method of drawing a sample that is likely to have been used.)

e)      Do you think the report that only 10% of respondents listed alcohol as an important reason for going to the pub might be a biased result? Why?

 

 

The Superior Jumpdrive Company sells jump drives for $10 each. Manufacturing cost is $2.60 per…

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The Superior Jumpdrive Company sells jump drives for $10 each. Manufacturing cost is $2.60 per jump drive; marketing costs are $2.40 per jump drive; and royalty payments are 20% of the selling price. The fixed cost of preparing the jump drive is $18 000. Capacity is 15 000 jump drives.
a) Compute:
i) the contribution margin
ii) the contribution rate
b) Compute the break-even point:
i) in units
ii) in dollars
iii) as a percent of capacity
c) Determine the break-even point in units if fixed costs are increased by $1600, while manufacturing cost is reduced by $0.50 per jump drive.
d) Determine the break-even point in units if the selling price is increased by 10%, while fixed costs are increased by $2900.

Toy Story, Toy Venture ToyStory Media is a movie company that is considering entering the toy…

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Toy Story, Toy Venture ToyStory Media is a movie company that is considering entering the toy business in a short term (3-year) venture. The company has completed a market testing that suggests that there is a market for toys. The testing costs $10 million. The toy venture will have an initial capital investment of S45 million and you have been provided with the following projections on the venture (in millions) Year1 Year2 Year 3 S65 $12 $22 S31 S50 S15 $20 $15 S70 S8 S26 S36 Revenues Depreciation Other Operating Expenses erating Income Non-cash working capital is expected to be 10% of revenues, with the investment being made at the end of each year At the end of year 3, you can expect to sell all of the project’s remaining assets at book value. The cost of capital (or discount rate) for the toy project is 9% and the cost of capital (or discount rate) for the movie business is 12%. The marginal tax rate is 40%. a) Estimate the incremental after-tax operating cash flows each year for the life of the project. (10 marks) b) What is the NPV of this investment? (5 marks) c) Assume that the toy business will generate side benefits for the movie business, increasing after-tax cash flows from that business by $7.5 million/year, each year for the next 3 years. What effect does this have on your NPV?

The market demand for sorghum is given by Qd = 500 – 10Pd, while the market supply curve is given…

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The market demand for sorghum is given by Qd = 500 – 10Pd, while the market supply curve is given by Qs = 40Ps. The demand and supply curve are shown below. The government would like to increase the income of farmers and is considering two alternative government interventions: an acreage limitation program and a government purchase program.

The market demand for sorghum is given by Qd = 500 - 10Pd, while the market supply curve is given by...-1

  1. What is the equilibrium market price in the absence of government intervention?
  2. The government’s goal is to increase the price of sorghum to $15 per unit. This is the support price. How much would be demanded at a price of $15 unit? How much would farmers want to supply at a price of $15 per unit? How much would the government need to pay farmers in order for them to voluntarily restrict their output of sorghum to the level demanded at $15 per unit?
  3. Fill in the following table for the acreage limitation program:The market demand for sorghum is given by Qd = 500 - 10Pd, while the market supply curve is given by...-2
  4. As an alternative way to support a price of $15, suppose the government purchases the difference between the quantity demanded at a price of $15 and the quantity supplied. How much does the government spend on this price support program?
  5. Fill in the following table for the government purchases program:The market demand for sorghum is given by Qd = 500 - 10Pd, while the market supply curve is given by...-2

The matrix from photo1.jpg is not square. We can, however, still apply matrices to shift the…

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The matrix from photo1.jpg is not square. We can, however, still apply matrices to shift the pixels. Find a matrix that will perform a horizontal shift of 240 pixels to photo1.jpg and include the shifted image in your write up. Hint: We saw with n x n matrices that to perform a horizontal shift we multiply our matrix by a transformation matrix on the right. The transformation matrix on the right was obtained by transforming the columns of the n x n identity matrix in the same way we wanted the columns of the image matrix to be transformed. For a non-square matrix X, we can take the same approach, but we have to start with the correct identity matrix. Think about the dimensions of the matrix you want to transform and find the matrix In such that XIR X. Manipulate the columns of Ir to obtain the transformation matrix. Display your matrix using spy(). + T(r:1,:) = +1 whiteout.m imageshift.m * trans.m X 1 function shift = imageshift (x) 2 Y = x.^(-1) 3 – I = x.*Y 4 – [m, n] size (I) 5 – r = 240 6 – E = eye (n) 7- T = zeros (n) 8 9- shift = x.*T 10 – imagesc(uint8 (shift)) 11 – end CO

The matrix from photo1.jpg is not square. We can, however, still apply matrices to shift the pixels....

The Marketing Department has estimated sales as follows for the remainder of the year (in units):…

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The Marketing Department has estimated sales as follows for the remainder of the year (in units): July 31,000 August 72,000 September 41,000 October November December 21,000 7,500 8,000 The selling price of the beach umbrellas is $11 per unit. b. All sales are on account. Based on past experience, sales are collected in the following pattern: 30% in the month of sale 65% in the month following sale 5% uncollectible Sales for June totaled $231,000. c. The company maintains finished goods inventories equal to 15% of the following month’s sales. This requirement will be met at the end of June. d. Each beach umbrella requires 4 feet of Gilden, a material that is sometimes hard to acquire. Therefore, the company requires that the ending inventory of Gilden be equal to 50% of the following month’s production needs. The inventory of Gilden on hand at the beginning and end of the quarter will be: June 30 September 30 74,300 feet ? feet e. Gilden costs $0.60 per foot. One-half of a month’s purchases of Gilden is paid for in the month of purchase; the remainder is paid for in the following month. The accounts payable on July 1 for purchases of Gilden during June will be $35,790. Required: 1. Calculate the estimated sales, by month and in total, for the third quarter. 2. Calculate the expected cash collections, by month and in total, for the third quarter. 3. Calculate the estimated quantity of beach umbrellas that need to be produced in July, August, September, and October 4. Calculate the quantity of Gilden (in feet) that needs to be purchased by month and in total, for the third quarter. 5. Calculate the cost of the raw material (Gilden) purchases by month and in total, for the third quarter. 6. Calculate the expected cash disbursements for raw material (Gilden) purchases, by month and in total, for the third quarter.

The Marketing Department has estimated sales as follows for the remainder of the year (in units):...

The masses of three clouds of gas and dust (nebulae) are provided below: • Cloud A is 60 times…

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The masses of three clouds of gas and dust (nebulae) are provided

below:

•             Cloud A is 60 times the mass of the Sun.

•             Cloud B is 7 times the mass of the Sun.

•             Cloud C is 2 times the mass of the Sun.

Imagine that all the material in each cloud will collapse to form a single star. Use this information to answer the questions and explain your reasoning.

a. Which cloud or clouds, if any, will evolve into a red main-sequence star?

b. Which of the stars that will form from these clouds, if any, will reach the giant stage?

c. Which of the stars that will form from these clouds, if any, will go through the supernova stage?

Refer to Exercise 13.30. The following data are the heights for the 38 females who said they…

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Refer to Exercise 13.30. The following data are the heights for the 38 females who said they prefer to sit in the front of the classroom

66, 63, 63, 66, 65.5, 63, 60, 64, 63, 68, 68, 66, 62.5, 65, 64, 63, 66, 63, 63, 67, 66, 66, 62, 65, 63.5, 60, 61, 62, 63, 60, 65, 62, 63, 63, 62, 65, 63, 66

The mean height for the population of college females is 65 inches. Carry out the five steps to test the claim that the mean height for females who prefer to sit in the front of the room is lower than it is for the general population. In other words, test whether females who prefer to sit in the front of the room are shorter than average. Use .

Exercise 13.30

The survey in the UCDavis2 dataset on the companion website asked students if they preferred to sit in the front, middle, or back of the class and also asked them their heights. The following data are the heights for 15 female students who said they prefer to sit in the back of the class.

The mean height for the population of college females is 65 inches. Carry out the five steps to test the claim that the mean height for females who prefer to sit in the back of the room is higher than it is for the general population. In other words, test whether females who prefer to sit in the back of the room are taller than average. Use