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:
124250cm, 1242.5m or 1.2425km
Step-by-step explanation:
0.6% = 6/100
6/100 = 0.006
0.006*1.25 = 0.0075
1.25km = 1250m = 125000cm
0.0075km = 7.5m = 750cm
125000 - 750 = 124250
Therefore:
The answer is 124250cm, 1242.5m or 1.2425km
Sub to oTechz :)
1. The answer is two because if you factor what you can from the equation and then simplify, you are left with 2v+16=(v+8)(?), and by looking at it, the correct answer is two, or A. Review your work, make sure to check your answers before submitting
2. Since two simple factors of 8 are 4 and 2, and they add up to 6, the correct answer is (x+4)(x+2), or B
3. Again, two simple factors of 12 are -4 and -3, so the correct answer is (x-3)(x-4), or D
4. Basically, just factor the quadratic trinomial g^2-2g-24, which turns out to (G+4)(g-6), which is B
Answer:

Step-by-step explanation:
The midpoint is essentially a point with the average of the 2 x-coordinates and the 2 y-coordinates.
The formula is:

We are given two points: A (7,0) and B (0, 3). Remember points are written as (x, y).
Therefore,

Substitute the values into the formula.

Solve the numerators first.

The midpoint can be left like this because the fractions are reduced, but it can be written as decimals too.
