Use the payoff matrix to determine the best strategy.A backpacker is planning a three-day trip in the backcountry with a friend. She wishes to keep the weight of her pack to a minimum. She has decided to bring either rock climbing shoes or an extra fleece jacket but not both. The fleece jacket will be useful if the weather is cold. The rock climbing shoes will be useful if the weather is warm. In trying to decide which of these two items to bring, the backpacker decides on the utilities shown in the following payoff matrix:WarmColdWeatherWeather
Which of the items should the
backpacker bring if the probability of cold weather is 0.4?
A. fleece jacket
B. rock climbing shoes
C. neither
Answer: B
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Find the present value for the given future amount. Round to the nearest cent.A = $19,200, 9 years r = 6% compounded annually
A. $12,046.32 B. $7835.55 C. $32,438.00 D. $11,364.45
Write a system of inequalities that describes the possible solutions to the problem.Andy decides to fence off a rectangular piece of his land to use as a vegetable garden. He has 80 feet of fencing so the perimeter of the fenced in area cannot exceed 80 feet. The length of the garden is to be at least 4 feet longer than the width. The width must be at least 6 feet. Write a system of inequalities that describe this situation. Let w represent the width and l represent the length.
A. l + w ? 80 l ? w + 4 w ? 6 B. 2l + 2w ? 80 l ? w + 4 w ? 6 C. l + w ? 80 w ? l + 4 l ? 6 D. 2l + 2w ? 80 w ? l + 4 l ? 6
Find the sum.
A. 28.15 B. 23.15 C. 34.35 D. 26.85
Solve the problem.The electric power P produced by a certain source is given by P = 
, where E is the voltage of the source, R is the resistance of the source, and r is the resistance in the circuit. Find the derivative of P with respect to R, assuming that the other quantities remain constant.
A. - 
B. - 
C. - 
D. 