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:
X=-4 last answer i got i hope it is helpful have a nice day
Step-by-step explanation:
Let's solve your equation step-by-step.
6(3x+5)=7(2x+2)
Step 1: Simplify both sides of the equation.
6(3x+5)=7(2x+2)
(6)(3x)+(6)(5)=(7)(2x)+(7)(2)(Distribute)
18x+30=14x+14
Step 2: Subtract 14x from both sides.
18x+30−14x=14x+14−14x
4x+30=14
Step 3: Subtract 30 from both sides.
4x+30−30=14−30
4x=−16
Step 4: Divide both sides by 4.
4x
4
=
−16
4
x=−4
Answer:
x=−4
Answer:
86.25
If you go on desmos scientific calculator it makes it super easy
Answer:![{ \left[\begin{array}{ccc}45.5\\\\\end{array}\right] }{}\\\\\end{array}\right] } ----](https://tex.z-dn.net/?f=%7B%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D45.5%5C%5C%5C%5C%5Cend%7Barray%7D%5Cright%5D%20%7D%7B%7D%5C%5C%5C%5C%5Cend%7Barray%7D%5Cright%5D%20%7D%20----)
Step-by-step explanation: Hey, Basically we are going to arrange the data in an ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers.
Hope this helps!
Answer:
x= 2 and y = -4
Step-by-step explanation:
8x + 3y = 4 ---------------------------------(1)
-7x + 5y = -34 -----------------------------(2)
Multiply through equation (1) by 5 and multiply through equation(2) by 3
40x + 15y = 20 ----------------------------(3)
-21x + 15y =-102----------------------------(4)
Subtract equation (4) from equation (3)
61x = 122
Divide both-side of the equation by 61
61x/61 = 122/61
(At the left-hand side of the equation 61 will cancel-out 61 leaving us with just x, while at the left-hand side of the equation 122 will be divided by 61)
x = 122/61
x=2
Substitute x= 2 into equation (1)
8x + 3y = 4
8(2) + 3y = 4
16 + 3y = 4
Subtract 16 from both-side of the equation
16-16 + 3y = 4-16
3y = -12
Divide both-side of the equation by 3
3y/3 = -12/3
y = -4
x= 2 and y = -4
