Answer:
1/2
Step-by-step explanation:
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: Center: (5,0)
Radius:5
Step-by-step explanation: Happy to help :)
QUESTION 1
The given expression is

The greatest common factor is
.
We factor to obtain;

QUESTION 2
The given quadratic equation is

We split the middle term to obtain

Factor by grouping;


Use zero product property;


QUESTION 3
The given system of equation is


If we multiply
by 3, we obtain;

If we multiply
by 4 we obtain;

Adding the last two equations will give us;

The y-variable is eliminated.
Answer:Multiply 3x+4y=−8
by 3. Multiply 7x−3y=6 by 4. Add the resulting equations together.