Find the median of the random variable x with the probability density function defined on the indicated interval I. The median of x is defined to be the number m such that . Observe that half of the x-values lie below m and the other half lie above m.

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Fill in the blank(s) with the appropriate word(s).


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Mathematics

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Graph the parametric equations.x = sin t, y = -3t; 0 ? t ? 2?

A.

B.

C.

D.

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Find the derivative.y = 8 sin x3

A. y' = 24x2 cos x3 B. y' = x cos x3 C. y' = 24x2 cos x2 D. y' = 24x3 cos x3

Mathematics

If a tree casts a shadow of 11 ft at the same time that a 6-ft person casts a shadow of 1 ft, find the height of the tree (to the nearest foot). ? __________ ft

Fill in the blank(s) with the appropriate word(s).

Mathematics

Find the product of the complex numbers. Leave answer in polar form.z1 = 7z2 = 4

A. 11
B. 11
C. 28
D. 28

Mathematics