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 given problem by using Laplace transforms.A 20-H inductor, a 180-?F capacitor, and a voltage supply whose voltage is given by are connected in series. Find the current as a function of time if the initial charge on the capacitor and the initial current are both zero.
A. i = 0.83t sin 33.34t B. i = 0.83t sin 16.67t C. i = 0.42t sin 16.67t D. i = 0.83t cos 16.67t
Perform the requested evaluation.Given f(x) = 2x2 + x, find f(x + h) - f(x).
A. 2h2 + h B. 4xh + 2h2 C. 4xh + 2h2 + 2x + h D. 4xh + 2h2 + h
Divide.
A. 15 B. 13 R7 C. 14 R40 D. 15 R3
Solve.It is 77 miles from Waterton to Hartford. It is 88 miles from Hartford to Fontana. Driving directly, it is 136 miles directly from Waterton to Fontana. It is 37 miles from Fontana to Ridgeport. If Tim drives from Waterton to Hartford, then from Hartford to Fontana, and finally home to Waterton, how many miles does he drive?
A. 301 mi B. 250 mi C. 338 mi D. 291 mi