Find the expected value.The following table gives the distribution of heights for female students at one U.S. college. Find the expected value of height for women at this college. Use the midpoint of each category, (for example use 58 for the 57-59 category). Use 74 for the 72 and over category.

A. 64.6 in.
B. 64.2 in.
C. 63.8 in.
D. 65.0 in.


Answer: A

Mathematics

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Solve the problem.If the given figure goes through a 90° clockwise rotation about P, followed by a 90° counterclockwise rotation of the resulting figure about Q, find the final image.

A.

B.

C.

D.

Mathematics

Write the equation for the plane.The plane through the point P(6, 6, 5) and parallel to the plane 

A. 2x + 6y + 8z = -88 B. 6x + 8y + 2z = 88 C. 6x + 6y + 5z = 88 D. 2x + 6y + 8z = 88

Mathematics

Simplify.

A. 12 B. not a real number C. 6 D. -6

Mathematics

Use mathematical induction to prove the following.6 + 12 + 18 + . . . + 6n = 3n(n + 1)

What will be an ideal response?

Mathematics