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:

Answer:
803.84
Step-by-step explanation:
the formula for the area of a circle is A = π r2 which is pi times the radius squared.n in this case if the circumference is 8 cm then the radius would be half of the circumference which is 4. then you square 4 which is equal to 256. Then take 256 and multiply it by pi. 256 × 3.14 = 803.84. i hope this helped you.
Answer:
The answer is B.
Step-by-step explanation:
You would pay about $20 each hour
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