Answer:
Step-by-step explanation:
This is one minus the probability that all the girls audition for different roles. The total number of ways of assigning roles to the girls is 12^7, because to each of the 7 girls, you have a choice of 12 roles.
Then if each girl is to receive a different role, then there are 12!/5! possibilities for that. If you start assigning roles to the girls, then for the first girl, there are 12 choices, but for the next you have to choose one of the 11 different ones, so 11 for the next, and then one of the 10 remaining for the next etc. etc., and this is 12*11*10*...*6 = 12!/(12-7)! =12!/5!
The probability that a random assignment of one of the 12^7 roles would happen to be one of the 12!/5! roles where each girl has a different role, is
(12!/5!)/12^7 = 12!/(12^7 5!)
Then the probability that two or more girls addition for the same part is the probability that not all the girls are assigned different roles, this is thus:
1 - 12!/(12^7 5!)
Alright, lets get started.
At the beginning of her training, she is able to run 2 miles without stopping means 2 will be in the addition when we will write the equation for her running miles.
Her goal is to increase her distance by three quarters of a mile each week.
Means in first week, she will add the distance =
miles
Suppose she runs x weeks, so shee will add distance = 
So, suppose she runs total number of miles = d, then

Where d is total numer of miles she runs
x is number of weeks : Answer
Hope it will help :)
C. $360
$224x4=896 (total profit)
$896 (total) - $536 (first month profit) = $360 (second month profit)
Answer:

Step-by-step explanation:
Given


Required
Determine fraction of each teacher
Each fraction is calculated by dividing total fraction by number of teachers as follows:




She made a mistake when she subtracted x1 from x2.
Step-by-step explanation:
Step 1 :
a)
The formula used by Lorena to calculate the slope between 2 points is correct
So the statement given in option 1 is not the reason for her mistake
Step 2:
b)
She has taken the fourth and fifth point and correctly used the x and y co ordinates to calculate the slope
Hence the statement in second option is not true
Step 3:
c)
While calculating the slope the denominator is -2 - (-4) . This gives 2 as the answer. But she has made a mistake in this subtraction giving -6 as the answer.
Hence she has made a mistake in subtracting x1 from x2 and this statement is true
Step 4:
d)
She has not made any mistake in subtracting y1 from y2. Hence this statement is not true