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!)
3.14/5.71=0.18330414466 years
hope this hepls
The relation represented by the arrow diagram is {(-3, 4), (-1, 5), (0, 7), (2, 2), (5, 7)}.
Option: C.
<u>Step-by-step explanation:</u>
A function is a relation in which each input value(domain) results in one output value(range). It is represented diagrammatically using the mapping method.
It shows how each element of domain and range are paired. That is like a flowchart it shows the input values marking its corresponding output value.
In the given diagram,
The values given in the left are domain and values given in the right are range.
Thus, -3 marks to 4, then can be written as (-3,4).
Similarly,
-1 marks 5 = (-1,5).
0 marks 7= (0,7).
2 marks 2= (2,2).
5 marks 7 =(5,7).
⇒ The complete points sequence is {(-3, 4), (-1, 5), (0, 7), (2, 2), (5, 7)}.
3x+5x-12=180
8x=180+12
8x=192
x=192/8
x=24
angle 1 = 5x-12
=5(24)-12
=120-12
=108
angle 2= 3x =3*24=72
angle 1 = angle 9
angle 9= 108
