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
This equation has infinite solutions, any real number makes it true.
Answer:
18
Step-by-step explanation:
16 |‾‾‾288‾‾‾
16 goes into 28 once = 1 (as the tens digit = 10)
28-16=12 (remainder)
128/16 =8
10 + 8 = 18
Answer: Lela's original score was 16.
Step-by-step explanation:
Alright lets get started.
Suppose Lela score was L.
Suppose Pepe score was P.
The ratio of Lela’s game score to Pepe's score is 
So the equation will be

Cross multiplying

.................equation 1
Then Lela completes a quest and scores 12 bonus points. The new ratio becomes

Cross multiplying

Plugging value of P from equation 1




Hence the score of Leela originally was 16. Answer
280 yards are equal to 840 feet