Answer:
m = -1/2
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define</u>
9m - m + 3 = -2(m + 1)
<u>Step 2: Solve for </u><em><u>m</u></em>
- Combine like terms: 8m + 3 = -2(m + 1)
- Distribute -2: 8m + 3 = -2m - 2
- Add 2m on both sides: 10m + 3 = -2
- Isolate <em>m</em> term: 10m = -5
- Isolate <em>m</em>: m = -1/2
Answer:
The mean is 11.5 minutes and the standard deviation is of 6.64 minutes
Step-by-step explanation:
An uniform probability is a case of probability in which each outcome is equally as likely.
For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.
The mean is:

The standard deviation is:

Arrival time of 9:18 am and a late arrival time of 9:41 am.
9:41 is 23 minutes from 9:18. So the time is uniformily distributed between 0 and 23 minutes, so a = 0, b = 23.
Mean:

Standard deviation:

The mean is 11.5 minutes and the standard deviation is of 6.64 minutes
Range is ] -20 , -10 [
both points are disclude according to the empty circle