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.
----------------------------------
- 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:

----------------------------------
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, 
----------------------------------
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:
$57.50
Step-by-step explanation:
find 10% of 50 first, which is 5, because 5 × 10 = 50, then add $10 to the $50 beacause 50 × 0.2 = 10, next, remove 5%, to do this divide 10% by 2 to get $2.50, 60 - 2.5 = 57.5
Answer:
Step-by-step explanation:
Let the equal number of hours be represented by variable H;
The two equations will be as follows;
Jack; 40 +30H
Mark; 50 +25H
Next, equate them;
40 + 30H = 50 + 25H
30H - 25H = 50 - 40
5H = 10
H =10/5
H = 2hrs
Therefore, they charge the same amount at 2 hrs.
B.) The amount charged;
Replace the variable H in any of the two equations above with 2 to solve for the amount.
Equation 40+30H = 40 + (30*2)
=40 + 60
= $100
Firstly we need to realize that "sea level" is the same as "surface of the ocean" and 0.
It means that Trina the scuba-diver is closer to the surface of the ocean than Jessie the glider because Trina is 85,5 meters from 0 level and Jessie is 87,9 meters from 0 level.
Now if Trina will hang glide at the altitude of 85,5, than she will <em>not </em>fly higher than Jessie (she will fly lower by 87,9 - 85,5 = 2,4 meters).
Answer:
vertex form.f(0+x)+7 -y(-6 +y)-2
Step-by-step explanation:
this is what I understand it about