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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Write one or more inequalities that describe the set of points.The exterior of the sphere of radius 2 centered at the point (4, -5, 5)
A. (x + 4)2 + (x - 5)2 + (x + 5)2 ? 4 B. (x + 4)2 + (x - 5)2 + (x + 5)2 < 4 C. (x - 4)2 + (x + 5)2 + (x - 5)2 > 4 D. (x - 4)2 + (x + 5)2 + (x - 5)2 < 4
The circumference of a circle is 69.9 m. Find its radius. Use the rules for working with measurements.
A. The radius is 4.72 m. B. The radius is 11.1 m. C. The radius is 5.56 m. D. The radius is 22.2 m. E. The radius is 44.5 m.
Graph the linear function by plotting the x- and y-intercepts.20x + 40y = 80
A. intercepts: (0, -2), (4, 0)
B. intercepts: (0, 2), (4, 0)
C. intercepts: (0, 2), (-4, 0)
D. intercepts: (0, -2), (-4, 0)
Find the length of the curve.x = 2 sin t + 2t, y = 2cos t, 0 ? t ? ?
A. 8 B. 12 C. 2? D. 4