Use the addition principle for counting to solve the problem.If n(B) = 24, n(A ? B) =5, and n(A ? B) = 42, find n(A).

A. 24
B. 23
C. 21
D. 25


Answer: B

Mathematics

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Jim has a 5-year-old car in reasonably good condition. He wants to take out a $60,000 term (that is, accident benefit) car insurance policy until the car is 10 years old. Assume that the probability of a car having an accident in the year in which it is x years old is as follows:  x = age5 6 7 8 9 P(accident)0.01191 0.01292 0.01396 0.01503 0.01613 Jim is applying to a car insurance company for his car insurance policy. If the car insurance company wants to make a profit of $900 above the expected total losses of $4197, how much should it charge for the policy?

A. $901 B. $893 C. $913 D. $903 E. $905

Mathematics

Use the given information to find the exact value of the trigonometric function.cos ? = ; csc ? > 0Find sin .

A.
B.
C.
D.

Mathematics

Solve the problem.When the temperature stays the same, the volume of a gas is inversely proportional to the pressure of the gas. If a balloon is filled with 168 cubic inches of a gas at a pressure of 14 pounds per square inch, find the new pressure of the gas if the volume is decreased to 56 cubic inches.

A. 4 pounds per square inch B. 39 pounds per square inch C. 42 pounds per square inch D. 28 pounds per square inch

Mathematics

Factor completely.4x2 - x - 5

A. (4x + 1)(x - 5) B. (4x - 1)(x + 5) C. (4x - 5)(x + 1) D. (4x + 5)(x - 1)

Mathematics