Find the expected value and variance for the random variable whose probability density function is
1 ? x ? 2.Enter just two reduced fractions (unlabeled) in the order E(X), Var(X) separated by a comma.
Fill in the blank(s) with the appropriate word(s).
5/3,1/18
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Complete the square for the binomial. Then factor the resulting perfect square trinomial.x2 + x
A. x2 + x + 144 = (x + 12)2
B. x2 + x +
=
2
C. x2 + x +
=
2
D. x2 + x +
=
2
Use a formula to solve the problem.A pie-shaped (triangular) lake-front lot has a perimeter of 1700 feet. One side is 100 feet longer than the shortest side, while the third side is 400 feet longer than the shortest side. Find the lengths of all three sides.
A. 500 ft, 600 ft, 900 ft B. 500 ft, 500 ft, 500 ft C. 400 ft, 500 ft, 800 ft D. 100 ft, 200 ft, 300 ft
Find the difference.
A. 8 B. 9 C. -16 D. -8 E. 16
Solve the problem.Maximize Q = xy2, where x and y are positive numbers, such that x + y2 = 3.
A. x = , y =
B. x = , y =
C. x = 0, y =
D. x = 1, y =