Answer:
- <em>m</em> =
- <em>μ</em> = 20
- <em>σ </em>= 20
The probability that a person is willing to commute more than 25 miles is 0.2865.
Step-by-step explanation:
Exponential probability distribution is used to define the probability distribution of the amount of time until some specific event takes place.
A random variable <em>X</em> follows an exponential distribution with parameter <em>m</em>.
The decay parameter is, <em>m</em>.
The probability distribution function of an Exponential distribution is:

<u>Given</u>: The decay parameter is, 
<em>X</em> is defined as the distance people are willing to commute in miles.
- The decay parameter is <em>m</em> =
. - The mean of the distribution is:
. - The standard deviation is:
Compute the probability that a person is willing to commute more than 25 miles as follows:

Thus, the probability that a person is willing to commute more than 25 miles is 0.2865.
If we break the answer down, we can solve this pretty easily.
We can represent Dic's age with x.
Tom's age is 5 MORE (+5) than TWICE (2x) Dic's age (x)
Therefore, our answer is 5+2x (Five more than twice Dic's age)
The correct answer is C: 5+2x
Answer:
Step-by-step explanation:
<u>Given</u>
<u>Solve for h</u>
- S = 2πr² + 2πrh
- 2πrh = S - 2πr²
- h = (S- 2πr²)/(2πr)
The first answer of part A is 32
So 4y means you have to multiply 4 by y, which is 20 since 4x5=20
And then you add 12, which is 32.
The second answer to part A is 40
With the second question of part a, the expression is basically saying 4 times whatever 5+3 is. So 5+3= 8, and 4(8) is 40
For part B, they are equivalent because let’s pretend y=2. 12+4y= 20. And then 4(y+3) would equal 20 because 4(2)=8 and 4(3)=12 and 8+12=20. This might not be the answer that your teacher is looking for, but it’s still a right answer so technically they can’t say it’s wrong unless you have a super unfair teacher