Using the concept of probability and the arrangements formula, there is a
0.002 = 0.2% probability that the first 8 people in line are teachers.
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- A probability is the <u>number of desired outcomes divided by the number of total outcomes.</u>
- The order in which they are positioned is important, and all people will be positioned, and thus, the arrangements formula is used to find the number of outcomes.
The number of possible arrangements from a set of n elements is given by:

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The desired outcomes are:
- First 8 people are teachers, in <u>8! possible ways.</u>
- Last 4 are students, in <u>4! possible ways.</u>
Thus, 
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For the total outcomes, <u>number of arrangements of 12 people</u>, thus:

The probability is:

0.002 = 0.2% probability that the first 8 people in line are teachers.
A similar problem is given at brainly.com/question/24650047
Answer
you only have to put the dots in the graph in the right spot
Step-by-step explanation:
sorry if im wrong
Answer:
8
19
32
55
Step-by-step explanation:
hope this helps!
Answer:
The equation of the linear function that best fits the data is,
<em>y</em> = 18.66<em>x</em> + 66.87.
Step-by-step explanation:
The line of best is of the form: <em>y</em> = <em>mx</em> + <em>b</em>.
Here, <em>m</em> = slope of the line and <em>b</em> = intercept.
The formula to compute the intercept and slope are:


Consider the table below for the values of <em>∑ X, ∑ Y, ∑ X² </em>and <em>∑ XY</em>.
Compute the value of intercept and slope as follows:


The line of best fit is:

Thus, the equation of the linear function that best fits the data is <em>y</em> = 18.66<em>x</em> + 66.87.
a) T = 4K / M
1) multiply both sides by M => TM = 4K
2) divide both sides by 4 => K = TM / 4
Answer: K = TM / 4
b) bm - Kn = 14
1) add Kn to both sides => bm = 14 + Kn
2) subtract 14 from both sides => bm - 14 = Kn
3) divide both terms by n => K = [bm - 14] / n
Answer: K = [bm - 14] / n