Remember to follow PEMDAS, and left -> right rule.
First, solve the Parenthesis:
(4 + 2^3)
Solve the exponent.
2^3 = 2 x 2 x 2 = 4 x 2 = 8
4 + 8 = 12
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(5^2) x (12)
5^2 = 5 x 5 = 25
25 x 12
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Multiply
25 x 12 = 300
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300 is your answer
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<em>~Rise Above the Ordinary</em>
Answer:
Step-by-step explanation:
Given
--- interval
Required
The probability density of the volume of the cube
The volume of a cube is:
For a uniform distribution, we have:
and
implies that:
So, we have:
Solve
Recall that:
Make x the subject
So, the cumulative density is:
becomes
The CDF is:
Integrate
![F(x) = [v]\limits^{v^\frac{1}{3}}_9](https://tex.z-dn.net/?f=F%28x%29%20%3D%20%5Bv%5D%5Climits%5E%7Bv%5E%5Cfrac%7B1%7D%7B3%7D%7D_9)
Expand
The density function of the volume F(v) is:
Differentiate F(x) to give:
So:
