Indicate whether the value of x shown is a solution of the given inequality by answering true or false.Value of x: -2Inequality: 2(x + 8) < 10

A. True
B. False


Answer: B

Mathematics

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Find the indicated derivative. Assume that x is restricted so that ln is defined. if y = ln (x + 3)4

A.
B.
C.
D.

Mathematics

Solve the problem that involves probabilities with independent events.You are dealt one card from a 52-card deck. Then the card is replaced in the deck, the deck is shuffled, and you draw again. Find the probability of getting a picture card the first time and a spade the second time.

A.
B.
C.
D.

Mathematics

Write as the sum and/or difference of logarithms. Express powers as factors.log6

A. log6
B. 5log6x + 7log6y
C. 5log6x - 7log6y
D. 7log6y - 5log6x

Mathematics

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

Mathematics