Provide an appropriate response.If P(A) = P(A|B), why must P(B) = P(B|A)?

What will be an ideal response?


P(A) = P(A|B) implies that A and B are independent events, which implies P(B) = P(B|A).

Mathematics

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Solve the problem.A rectangular piece of cardboard measuring 15 inches by 29 inches is to be made into a box with an open top by cutting equal size squares from each corner and folding up the sides. Let x represent the length of a side of each such square. For what value of x will the volume be a maximum? If necessary, round to 2 decimal places.

A. 11.52 in. B. 3.15 in. C. 13.79 in. D. 23.04 in.

Mathematics

Write the decimal in word form.917.081

A. nine hundred and seventeen and eighty-one thousandths B. nine hundred seventeen and eighty-one ten-thousandths C. nine hundred and seventeen and eighty-one hundredths D. nine hundred seventeen and eighty-one thousandths

Mathematics

Find the mean. Round to the nearest tenth when necessary.The numbers of tickets sold in the five days preceding the play were as follows: 78, 59, 78, 96, 59

A. Mean = 74.5 tickets B. Mean = 73.5 tickets C. Mean = 74 tickets D. Mean = 92.5 tickets

Mathematics

Divide.3,415 รท 4

A. 853 R 3 B. 853 R 2 C. 852 R 7 D. 853

Mathematics