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
Mathematics
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Use De Moivre's theorem to simplify the expression. Write the answer in a + bi form.
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Simplify the expression.
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Solve the problem. Round answers to the nearest dollar.Three partners contributed $24,000, $46,000, and $147,000, respectively, to start a company. Find the share that each partner gets if profits are $106,000 and the profits are divided by the ratio of investment.
A. $25,440 to 1 $48,760 to 2 $155,820 to 3 B. $12,000 to 1 $23,000 to 2 $73,500 to 3 C. $11,724 to 1 $22,470 to 2 $71,806 to 3 D. $35,333 each
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Multiply. Be sure your answer is simplified.
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Mathematics