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.How close does the curve y = 
come to the point 
? (Hint: If you minimize the square of the distance, you can avoid square roots.)
A. The distance is minimized when x = 
; the minimum distance is 
units.
B. The distance is minimized when x = 
; the minimum distance is 
units.
C. The distance is minimized when x = - 
; the minimum distance is 
units.
D. The distance is minimized when x = 
; the minimum distance is 
units.
Solve the problem.Samuel consumed 2174 calories of food on Monday, 2335 calories on Tuesday, and 1856 calories on Wednesday. In order for Samuel's average calorie intake to equal a daily average of 2000 calories, how many calories of food must he consume on Thursday?
A. 2091 calories B. 2122 calories C. 1752 calories D. 1635 calories
Estimate the interval(s) on which the function is increasing and decreasing.f(x) = 2 - 3x2
A. increasing on (-?, 0); decreasing on (0, ?) B. increasing on (?, 0); decreasing on (0, -?) C. increasing on (-?, 0); decreasing on (-?, 0) D. increasing on (0, ?); decreasing on (-?, 0)
Perform the matrix multiplication. Find AB for A = 
and B = 
.
A. 
B. 
C. 
D. 