Use Bayes' rule to find the indicated probability.A person must select one of three boxes, each filled with clocks. The probability of box A being selected is 0.21, of box B being selected is 0.31, and of box C being selected is 0.48. The probability of finding a red clock in box A is 0.2, in box B is 0.4, and in box C is 0.9. A box is selected. Given that the box contains a red clock, what is the probability that box A was chosen?

A. 0.21
B. 0.133
C. 0.042
D. 0.07


Answer: D

Mathematics

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Find the first term and the common difference for the arithmetic sequence. Round approximations to the nearest hundredth.S8 = 40, a8 = 19

A. a1 = -142, d = 4.75 B. a1 = -9, d = 4 C. a1 = -142, d = 4 D. a1 = -9, d = 4.75

Mathematics

Use a graphing calculator to determine which expression completes the identity.The expression   +  is to be the left hand side of an equation that is an identity. Which one of the following four expressions can be used as the right hand side of the equation to complete the identity?

A. tan2 x B. 1 - cos x C. 3 sec x D. 2 sec2 x

Mathematics

Provide an appropriate response.You are asked to change 5 to an improper fraction. What should be your first step?

A. Multiply 8 and 5. B. Divide 8 by 13. C. Multiply 13 and 5. D. Add 5 and 8.

Mathematics

Use the given property of multiplication to rewrite each statement. Commutative property: 5 ? 12 = _____

A. 12 ? 5
B. 12 + 
C. 5 ? 12
D. 5 + 12

Mathematics