(27) Give an example of an infinite incidence geometry (i.e. an incidence geometry with an infinite number of points and an infinite number of lines).

27. Call me: A sociologist wants to construct a 95% confidence interval for the proportion of children aged 8–10 living in New York who own a cell phone.

a. A survey by the National Consumers League estimated the nationwide proportion to be 0.32. Using this estimate, what sample size is needed so that the confidence interval will have a margin of error of 0.02?

b. Estimate the sample size needed if no estimate of p is available.

c. If the sociologist wanted to estimate the proportion in the entire United States rather than in New York, would the necessary sample size be larger, smaller, or about the same? Explain.

Consider a glass of 189 mL of water at 27°C. Calculate the mass of ice at -15°C that must be added to cool the water to 10°C after thermal equilibrium is achieved. To find the mass of water use the density of water = 1.0 g/mL

In an R.C. circuit, a 60 volt battery charges a 27 microfarad capacitor. It discharges in a resistance of R. The voltage of the capacitor is 30 volts after 4.6 milliseconds. Find the following:

1: the time constant of the circuit

2: the maximum charge

3: the capacitor's charge after half of the time constant

4: the amount of time that it takes for the capacitor to get to a voltage of zero

Find the tension in the two wires supporting the 27 kg traffic light shown in the figure below. (Assume that θ1 = 51° and θ2 = 39°.)

Two sea ports are on the same parallel of latitude 42◦ 27 N. Their difference in longitude is 137◦ 35 . Ship A and ship B sail at 20 knots from one port to the other. Ship A sails along the parallel of latitude; ship B sails the great circle route connecting the two ports. Calculate the time difference in their arrival times if they leave port together.

Question 6 Every month 27% of the unemployed find a job and 3% of the employed are seperated from their jobs. If the current unemployment rate is 10%, do you expect the unemployment rate to

a. decrease

b. stay the same

c. cannot be determined

d. increase

Question 7 When the real wage is above the level that equates labor supply to labor demand, then the quantity of labor supplied

a. depends on the nominal wage

b. is smaller than the quantity of labor demanded

c. is equal to the quality of labor demanded

d. is greater than the quantity of labor demanded

Question 8 The minimum wage is raised and, at the same time, many government employment agencies are opened across the country. Which of the following are the most likely effects?

a. An increase in frictional unemployment and an increase in structural unemployment

b. An increase in frictional unemployment and a decrease in structural unemployment

c. A decrease in frictional unemployment and an increase in structural unemployment

d. A decrease in frictional unemployment and a decrease in structural unemployment

Question 9 Which of the following is mosy likely to occur as a result of an increase in the minimum wage?

a. some investment bankers lose their job because of the decrease in labor demand

b. university professors see their wages rise

c. cashiers at grocery stores are replaced by automatic cashier machines

d. lawyers see their wages fall

Question 10 According to efficiency wage theory, higher wages paid by firms Do Not lead to

a. structural unemployment

b. wages above their equilibrium level

c. lower firm profits

d. increased worker productivity

Consider the following cash flows:

C0 / C1/ C2 /C3 /C4

? $ 27 / + $ 24 / + $ 24 / + $ 24 / ? $ 46

a. Which two of the following rates are the IRRs of this project? (You may select more than one answer. Single click the box with the question mark to produce a check mark for a correct answer and double click the box with the question mark to empty the box for a wrong answer. Any boxes left with a question mark will be automatically graded as incorrect.)

2.5%

2.9%

14.3%

33.9%

40.0%

1. (10) A sample of annual salary (in thousand dollars) is as follows:    

                 34, 27, 35, 50, 33, 34, 20, 138, 38, 28 50

1.    Find sample mean.

2. Find the sample median.

3. Find the first, third quartiles and IQR.

4. Construct a Box plot.

Finch Company produces a product that has a variable cost of $27 per unit and a sales price of $62 per unit. The company’s annual fixed costs total $780,000. It had net income of $340,000 in the previous year. In an effort to increase the company’s market share, management is considering lowering the selling price to $52 per unit.

Required

If Finch desires to maintain net income of $340,000 how many additional units must it sell to justify the price decline?

Assume that in addition to lowering its selling price to $52, Finch also desires to increase its net income by $80,000. Determine the number of units the company must sell to earn the desired income.

If Finch desires to maintain net income of $340,000 how many additional units must it sell to justify the price decline?

Assume that in addition to lowering its selling price to $52, Finch also desires to increase its net income by $80,000. Determine the number of units the company must sell to earn the desired income.

Required