A hypothesis test is to be performed. State the null and alternative hypotheses.Carter Motor Company claims that its new sedan, the Libra, will average better than 32 miles per gallon, which is the gas mileage of its competitor.
A. Null hypothesis: mean gas mileage > 23 mpg
Alternative hypothesis: mean gas mileage = 23 mpg
B. Null hypothesis: mean gas mileage < 23 mpg
Alternative hypothesis: mean gas mileage > 23 mpg
C. Null hypothesis: mean gas mileage = 23 mpg
Alternative hypothesis: mean gas mileage ? 23 mpg
D. Null hypothesis: mean gas mileage = 23 mpg
Alternative hypothesis: mean gas mileage > 23 mpg
Answer: D
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Solve the problem.Let C(x) be the cost function and R(x) the revenue function. Compute the marginal cost, marginal revenue, and the marginal profit functions.C(x) = 0.0004x3 - 0.036x2 + 200x + 30,000R(x) = 350x
A. C'(x) = 0.0012x2 - 0.072x + 200 R'(x) = 350 P'(x) = 0.0012x2 - 0.072x - 150 B. C'(x) = 0.0012x2 - 0.072x + 200 R'(x) = 350 P'(x) = -0.0012x2 + 0.072x + 150 C. C'(x) = 0.0012x2 + 0.072x + 200 R'(x) = 350 P'(x) = 0.0012x2 + 0.072x + 150
A manufacturing company wants to maximize profits on products A, B, and C. The profit margin is $3 for A, $6 for B, and $15 for C. The production requirements and departmental capacities are as follows: 
What is the maximum profit if the capacity of the finishing department changes to 33,000 hours?
A. $225,000 B. $60,000 C. $64,000 D. $114,000
Match the function with the graph.
A. y = ?x - 1? + 1 B. y = ?x - 1? C. y = ?x? - 1 D. y = ?x + 1?
Find the product.(3x + 12)(3x - 12)
A. 3x2 - 72x - 144 B. 9x2 - 144 C. 9x2 - 72x - 144 D. 9x2 + 72x - 144