Let A and B be sets with cardinal numbers, n(A) = a and n(B) = b, respectively. Decide whether the statement is true or false.(B ? A) ? B

A. True
B. False


Answer: B

Mathematics

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Solve the problem.The life (in months) of an automobile battery has a probability density function defined by  for x in  Find the probability that the life of a randomly selected battery is greater than 5 years.

A. 0.1889 B. 0.2704 C. 0.0630 D. 0.8111

Mathematics

Find the center (h, k) and radius r of the circle with the given equation. x2 + y2 + 2x - 14y + 50 = 81

A. (h, k) = (-1, 7); r = 9 B. (h, k) = (-7, 1); r = 81 C. (h, k) = (1, -7); r = 81 D. (h, k) = (7, -1); r = 9

Mathematics

Find the requested composition of functions.Given f(x) =   and g(x) = 9x + 4, find (g ? f)(x).

A. 9+ 32
B. + 8
C. x
D. - 

Mathematics

Provide an appropriate response.The number of loaves of whole wheat bread left on the shelf of a local quick stop at closing (denoted by the random variable X) varies from day to day. Past records show that the probability distribution of X is as shown in the following table. Find the probability that there will be at least three loaves left over at the end of any given day. 

A. 0.20 B. 0.65 C. 0.35 D. 0.15

Mathematics