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.
For this question you can say:
154/11 = 252/?
so ? is the hours she would work:
252*11/154 = 18 hours :)))
i hope this is helpful
have a nice day
Answer:

Step-by-step explanation:
Hi there!
Midpoint =
where the two endpoints are
and 
Plug in the given information:
Midpoint = (5,3), Endpoint = (5,5)
where
is the other endpoint
Solve for
:

Solve for
:

Therefore, the other endpoint
is
.
I hope this helps!
Answer:
r = 4
General Formulas and Concepts:
<u>Pre-Alg</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
-5 + 22 = r - 4 + 3r + 5
<u>Step 2: Solve for </u><em><u>r</u></em>
- Combine like terms: 17 = 4r + 1
- Subtract 1 on both sides: 16 = 4r
- Divide 4 on both sides: 4 = r
- Rewrite: r = 4
<u>Step 3: Check</u>
<em>Plug in r to verify it's a solution.</em>
- Substitute: -5 + 22 = 4 - 4 + 3(4) + 5
- Add/Subtract: 17 = 3(4) + 5
- Multiply: 17 = 12 + 5
- Add: 17 = 17