Using the expected value, it is found that the mean of the distribution equals $0.1.
- The expected value, which is the mean of the distribution, is given by <u>each outcome multiplied by it's probability</u>.
The probabilities of <u>each outcome</u> are:
- .0000001 probability of earning $1,000,000.
- .9999999 probability of earning $0.
Thus, the mean is given by:

Thus showing that the expected value is $0.1.
A similar problem is given at brainly.com/question/24855677
Using a calculator, you can find out that

and so that means

so your answer is
He can run 5 miles per hour
(2,3) so x=2, y=3 and h=(2^2+3^2)^(1/2)=√13
sina=3/√13, cosa=2/√13, tana=3/2
Afterwards multiply sina and cosa by √13/√13 and get sina=(3√13)/13 and cosa=(2√13)/13
Answer:

Step-by-step explanation:
We are given the two functions:

And we want to find:

So, by substitution:

Simplify. Distribute:

Rearrange:

Combine like terms. Hence:
