You have been called to testify as an expert witness in a trial involving a head-on collision. Car A weighs 1515 lb and was traveling eastward. Car B weighs 1125 lb and was traveling westward at 41.0 mph. The cars locked bumpers and slid eastward with their wheels locked for 18.5 ft before stopping. You have measured the coefficient of kinetic friction between the tires and the pavement to be 0.750 . How fast (in miles per hour) was car A traveling just before the collision? (This problem uses English units because they would be used in a U.S. legal proceeding.)

Every road has one at some point - construction zones that have much lower speed limits. To see if drivers obey these lower speed limits, a police officer uses a radar gun to measure the speed (in miles per hours, or mph) of a random sample of 10 drivers in a 25 mph construction zone. Here are the data: 27; 33; 32; 21; 30; 30; 29; 25; 27; 34. Is there convincing evidence that at the α=0.01 significance level that the average speed of drivers in this construction zone is greater than the posted speed limit?

Can a low barometer reading be used to predict maximum wind speed of an approaching tropical cyclone? For a random sample of tropical cyclones, let x be the lowest pressure (in millibars) as a cyclone approaches, and let y be the maximum wind speed (in miles per hour) of the cyclone.

x 1004 975 992 935 976 928

y 40 100 65 145 75 146

(b) Use a calculator to verify that Σx = 5810, Σx² = 5,630,690, Σy = 571, Σy² = 63,791 and Σxy = 546,403.

Compute R (round to 3 decimal places)

Pink Corporation has several employees. Their names and salaries are listed below:

Judy $470,000

Holly (Judy's daughter) 100,000

Terry (Judy's son) 100,000

Amman (an unrelated third party) 320,000

Holly and Terry are the only shareholders of Pink. Judy and Amman share equally in the management of the company's operations. Holly and Terry are both full-time college students at a university 200 miles away. Pink has substantial E & P and never has distributed a dividend. What are any income tax issues related to Pink's salary arrangement?

Identify and describe the steps of the scientific method.
Identify general trends in a data plot.
Convert between SI and American units, as well as within units of the same system (i.e., from feet to miles).
Use kinetic/mathmatical equations to find acceleration, velocity, position, or time.
What sre Newton’s three laws of motion.
How to Add vectors, including vectors that represent forces and velocity.
Explain the difference between weight and mass.
Explain the concept of conservation of linear and angular momentum and its applications.
Formula to Apply impulse with conservation of momentum.

James owns both ski lodges, and therefore all of the skiing, in town. There are no other ways

to ski or ski lodges within 100 miles. Devise a way to segment the skiers in the town

into two markets, high willingness to pay and low willingness to pay, and find a way to

successfully charge them different prices. You need to describe how you will get the high

willingness to pay consumers to reveal their increased willingness to pay. You will also need to

describe how you will prevent consumer arbitrage between the high and low willingness to pay

consumers.

Suppose you manage a local grocery store, and you learn that a very popular national grocery chain is about to open a store just a few miles away. Use the model of monopolistic competition to analyze the impact of this new store on the quantity of output your store should produce (Q) and the price your store should charge (P). What will happen to your profits? Explain your reasoning in detail. How and why do profits change? What could you do to defend your market share against the new store? (200 WORDS)

There are six glass cups. all of them were filled by 100 mL sample solutions that contain Pb²⁺ ion with unknown concentration. Then into it added successively 0 ml; 0,1 ml; 0,2 ml; 0,3 ml; 0,4 ml; and 0,5 ml standard solutions 10 mg/L Pb²⁺. Table below shows the absorbances measurement of the solution in all six cups.

Calculate the concentration of Pb²⁺in the above sample if we assume the solution's volume is constant 100 ml.

You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4 categories occur with the following frequencies:

Ho: pA=0.4; pB=0.1; pC=0.3; pD=0.2

Complete the table. Report all answers accurate to three decimal places.

What is the chi-square test-statistic for this data?
χ2=

What is the P-Value?
P-Value =

For significance level alpha 0.005,

What would be the conclusion of this hypothesis test?

• Reject the Null Hypothesis
• Fail to reject the Null Hypothesis

Suppose that the index model for stocks A and B is estimated from excess returns with the following results: RA =0.03 + 0.7RM + eA RB = -0.02 + 1.2RM + eB σM = 0.2 R-squareA = 0.3; R-squareB = 0.25 Assume you create for portfolio Q with investment proportions of 0.50 in P, 0.30 in the market index, and 0.20 in T-bills, portfolio P is composed of 60% Stock A and 40% Stock B. 1.What is the standard deviation of the portfolio Q?2. What is the beta of the portfolio Q? Group of answer choices 0.2556 0.2766 0.4800 0.1831