Provide an appropriate response.Let A be the event that it will be sunny this afternoon.Let B be the event that Francia will go shopping this afternoon. Given that P(A) = 0.8, P(B) = 0.9, and P(A ? B) = 0.2, are events A and B independent? How can you tell?

What will be an ideal response?


No, because P(A ? B) ? P(A) ? P(B)

Mathematics

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Solve the problem.From a point on a river, two boats are driven in opposite directions, one at 10 miles per hour and the other at 5 miles per hour. In how many hours will they be 45 miles apart?

A. 1 hour B. 3 hours C. 4 hours D. 5 hours

Mathematics

Determine whether the argument is valid or invalid by using a truth table.q ? pp ? r----? r ? q

A.

The argument is invalid.

B.

The argument is valid.

C.

The argument is invalid.

D.

The argument is valid.

Mathematics

Solve.In the land of Taxalot, the function T(x) = 0.16(x - 8500) + 700 represents the tax bill T of a single person whose adjusted gross income is x dollars for incomes between 8500 and 27,400 inclusive. What is a single filer's tax bill if adjusted gross income is $18,400?

A. $1584 B. $1696 C. $3644 D. $2284

Mathematics

Solve the problem.Given the following revenue and cost functions, find the maximum profit. (Recall that profit equals revenue minus cost.) R(x) = 80x - 2x2; C(x) = 24x + 100

A. $684 B. $392 C. $492 D. $292

Mathematics