X=-2.5
4-(2x+4)=5
cancel out 4 and -4
-2x=5
-x=2.5
x=2.5
Just multiply:
5 cm*(4 cm)*(1.5 cm) = 30 cm^3
The formula of the volume is area of the base by the height.
The mean of the discrete distribution that models this situation is of 2.98.
<h3>What is the mean of a discrete distribution?</h3>
The expected value of a discrete distribution is given by the <u>sum of each outcome multiplied by it's respective probability</u>.
Considering the table, the probability distribution is given by:
Hence the mean is given by:
E(X) = 4 x 0.4 + 3 x 0.32 + 2 x 0.17 + 1 x 0.08 + 0 x 0.03 = 2.98.
More can be learned about the mean of a discrete distribution at brainly.com/question/27899440
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Given the information, we have the following:
since the distance from each boundary of the tennis court to the fence is the same (x feet), then we have:
therefore, the expression that gives the are of the entire surface inside the fence is A=(36+2x)(78+2x)
Answer:
Vertex form is

where (h,k) is the vertex
So our vertex form is

It passes through (6,0) so we have

Solve for a.



So our equation is
