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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Sketch the graph and show all local extrema and inflection points.y = -x4 + 2x2 - 7

A. Absolute maxima: (-1, -6), (1, -6)
Local minimum: (0, -7)
No inflection points


B. Absolute minima: (-1, 6), (1, 6)
Local maximum: (0, 7)
Inflection point: 


C. Absolute maxima: (-1, -6), (1, -6)
Inflection points: 


D. Absolute maxima: (-1, -6), (1, -6)
Local minimum: (0, -7)
Inflection points: 


Mathematics

Find an approximate value of x using a scientific calculator. If necessary, round to four decimal places.ln x = -3.9

A. 0.0001 B. 49.4024 C. 7943.2823 D. 0.0202

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Solve the inequality. Write the solution set in interval notation.x2 - 6x - 16 > 0

A. (-?, -8) ? (2, ?) B. (-8, 2) C. (-2, 8) D. (-?, -2) ? (8, ?)

Mathematics

Shade the region in the xy-plane that satisfies the system of inequalities.(x + 2)2 + (y - 4)2 ? 9(x - 2)2 + (y - 4)2 ? 9

A.

B.

C.

D.

Mathematics