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!)
Answer:
A. $18
B. $200
C. 
Step-by-step explanation:
Function:

<u>Parts A and B:</u>
The price that generates the maximum profit is ate vertex of parabola. Find the coordinates of the vertex:

The price that generates the maximum profit is $18
The maximum profit is $200
<u>Part C:</u>
The company breaks even when the profit is positive. From the graph of the function you can see that the graph of the function is over p-axis for all
, so the positive profit is for 
In p=16 and p=20, the profit is 0 and when p<16 and p>20, there will be a loss.
Answer:
It will take Lin an hour and 25 minutes at her constant speed, and it will take Jada at her constant speed an hour and 30 minutes.
SO, Lin will arrive at 4:25
and Jada will arrive at 4:30
There is a 5 minute difference in time.
Step-by-step explanation:
From the facts given, Lin can walk 13 miles in 5 hours which when you divide means she can walk 2.6 mph (miles per hour), and Jada can walk 2.5 mph.
To get these answers you divide the current speeds into the total distance
For example, in Lin's case...
3.25 (The 3 and 1/4 mile converted to decimal form)
2.6 (Lin's Average speed per hour)
3.25/2.6=1.25
1.25 (1 hour and 25 minutes)
<em><u>3 x 12 </u></em>
<em><u>I think because you find out how to graph in the corresponding area on the graph </u></em>
It should be B because you have to have 2 angles to know for sure.