Find the expected value.A fair coin is tossed three times, and a player wins $3 if 3 tails occur, wins $2 if 2 tails occur and loses $3 if no tails occur. If one tail occurs, no one wins. What is the expected value of the games?
A. $0.75
B. $2.00
C. -$3.00
D. $3.00
Answer: A
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Find the prime factorization of each composite number. Use exponents to show any repeated prime factors.128
A. 27 B. prime C. 72 D. 2 ? 7
Solve the problem.The time to failure t, in hours, of a certain machine can often be assumed to be exponentially distributed with probability density function f(t) = ke-kt, 0 ? t < ?, where k = 
and a is the average amount of time that will pass before a failure occurs. Suppose the average amount of time that will pass before a failure occurs is 80 hours. What is the probability that a failure will occur in 49 hours or less?
A. 0.5496 B. 0.4580 C. 0.3435 D. 0.3664
Complete the ordered pairs for the equation.y = -4x + 32 (7, ) (32, ) (0, )
A. (7, 4) (32, -96) (0, 32) B. (7, 32) (32, -96) (0, -96) C. (7, 4) (32, -96) (0, -96) D. (7, 32) (32, 32) (0, 32)
Find the perimeter or area of the figure as indicated. Express your answer in simplified radical form.Find the area of the rectangle. 
ft
A. 14 sq ft
B. 49
sq ft
C. 
sq ft
D. 7
sq ft