Use Bayes' rule to find the indicated probability.49% of the workers at Motor Works are female, while 52% of the workers at City Bank are female. If one of these companies is selected at random (assume a 50-50 chance for each), and then a worker is selected at random, what is the probability that the worker is female, given that the worker comes from City Bank?

A. 25.5%
B. 26%
C. 49%
D. 24.5%


Answer: B

Mathematics

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The graph of a trigonometric function of the form y = A sin (Bx) or y = A cos (Bx) for B > 0 is given. Determine the equation of the function represented by the graph.

A. y = 3 cos 2x
B. y = 2 cosĀ x
C. y = 2 cos 3x
D. y = 3 cosĀ x

Mathematics

Write the mixed number as an improper fraction.7

A.
B.
C.
D.

Mathematics

Find the pair of numbers whose product and sum are given.Product: 112 Sum: 22

A. 14 and -8 B. 14 and 8 C. -14 and 8 D. -14 and -8

Mathematics

Solve the problem.A toilet manufacturer has decided to come out with a new and improved toilet. The fixed cost for the production of this new toilet line is $16,600 and the variable costs are $62 per toilet. The company expects to sell the toilets for $151. Formulate a function P(x) for the total profit from the production and sale of x toilets.

A. P(x) = 89x B. P(x) = 89x - 16600 C. P(x) = 151x - 16600 D. P(x) = 89x + 16600

Mathematics