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:
c= (1/4,2)
Step-by-step explanation:
i did the test and it came out correct i promise !
The statement is false, because -2 is larger than -3.
<h3>Is the statement true?</h3>
We know that -3 is a lower bound for the real zeros of f(x).
So, if we define k as the smallest real zero of f(x), we have:
-3 < k.
Then we can take, for example, k = -2.5
That is an allowed value for the real zero.
In that case, -2 is not a lower bound, because is false that:
-2 < k = -2.5
Then if -3 is a lower bound for the real zeros of f(x), we can't assume that -2 is also a lower bound (because -2 is larger than -3).
If you want to learn more about lower bounds:
brainly.com/question/15991714
#SPJ1
Answer:
5 students out of each of the 4 homeroom classes (C)
Step-by-step explanation: