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 Morgan's laws to write the negation of the statement.Cats are lazy or dogs aren't friendly.

A. Cats aren't lazy or dogs aren't friendly. B. Cats are lazy and dogs are friendly. C. Cats aren't lazy and dogs are friendly. D. Cats aren't lazy or dogs are friendly.

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Sketch the graph of f(x). Determine the domain, range, and the equation of the horizontal asymptote of the function.f(x) = 6 - e-x

A. Domain: (-?, ?), range: (-?, 6)
Horizontal asymptote: y = 6

B. Domain: (-?, ?), range: (-?, 6)
Horizontal asymptote: y = 6

C. Domain: (-?, ?), range: (6, ?)
Horizontal asymptote: y = 6

D. Domain: (-?, ?), range: (6, ?)
Horizontal asymptote: y = 6

Mathematics

Provide an appropriate response.What is a good first step when you are solving 4x2 + 5 = 19x by factoring?

A. Subtract 4x2 from each side. B. Divide by 19x on each side. C. Subtract 5 from each side. D. Subtract 19x from each side.

Mathematics

Find the LCD for the fractions in the list. , 

A. 7a2 + 56 B. 7a(a + 8) C. 7a + 8 D. 7a2 + 8

Mathematics