Find the marginal density for
by integrating the joint PDF over all possible values of
:


Then the density of
conditioned on
is

for
and undefined elsewhere.
Thus

= = =
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Answer:
1296
Step-by-step explanation:
Evaluate the expression, m^n if
m = 6 and n= 4
m^n = 6^4
m^n = 6⁴
m^n = 1296
A) 2(3) - 7(3) + 3(-4)
=6 - 21 + (-12)
=-27
b) (5) + 3(7)(5)
=5 + 105
=110
c) is 3 and 2 an exponent? if so
5(2)^3 + 2(3)^2
=40 + 36
=76
Answer:
The volume of George's beach ball is 904.32 cubic inches.
Step-by-step explanation:
We are given the following in the question:
Diameter of beach ball,d = 12 inches.
Radius of beach ball =

Volume of beach ball = Volume of sphere =

Putting values, we get,

Thus, the volume of George's beach ball is 904.32 cubic inches.
A quadratic equation cannot have one imaginary solution because of the discriminant enclosed in a radical. The discriminant, √(b² - 4ac), determines the nature of the roots and it can only be either 2 real roots, 1 real solution or 2 imaginary roots. Hope this answers the question.