Use Bayes' rule to find the indicated probability.Two shipments of components were received by a factory and stored in two separate bins. Shipment I has 2% of its contents defective, while shipment II has 5% of its contents defective. If it is equally likely an employee will go to either bin and select a component randomly, what is the probability that a defective component came from shipment II?
A. 0.714
B. 0.222
C. 0.5
D. 0.2
Answer: A
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Solve the problem.A formula for the length of a diagonal from the upper corner of a box to the opposite lower corner is where L, W, and H are the length, width, and height, respectively. Find the length of the diagonal of the box if the length is 23 inches, width is 15 inches, and height is 8 inches. Leave your answer in simplified radical form.
A. in.
B. 2 in.
C. 2 in.
D. in.
Match the given function to its graph.1) y = 1 + sin x2) y = 1 + cos x3) y = -1 + sin x4) y = -1 + cos xA B
CD
A. 1A, 2B, 3C, 4D B. 1A, 2D, 3C, 4B C. 1A, 2C, 3D, 4B D. 1B, 2D, 3C, 4A
Decide whether or not the functions are inverses of each other.
A. No B. Yes
Factor completely. If the polynomial cannot be factored, say it is prime.x2 + 10x - 24
A. (x - 12)(x + 1) B. (x - 12)(x + 2) C. (x + 12)(x - 2) D. prime