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kati45 [8]
3 years ago
9

What is the length of arc S shown below? The angle in the figure is a central angle in radians.

Mathematics
1 answer:
Taya2010 [7]3 years ago
3 0

Answer:

2

Step-by-step explanation:

Arc length = r × theta

Arc length = 5 × 0.4

= 2

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7 girls audition for 12 roles in a school play. What is the probability that at least 2 of the girls audition for the same part?
Sophie [7]

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!)

6 0
3 years ago
Find the x- and y- intercepts of the line 6x-2y=24 write your answers as ordered pairs
MrRissso [65]

Answer:

(4,0),(0,-12)

Step-by-step explanation:

7 0
3 years ago
PQ= 10x-2, PL= 5x-8, and LQ= 7x-12. Find LQ. Need help...
Sladkaya [172]
Oh my baby girl girl shut my phone shut off shut my phone up and then i’ll and
8 0
3 years ago
How do I solve this
Pani-rosa [81]

Answer: you alredy solved it

Step-by-step explanation:

4 0
3 years ago
-6x + 5y = 1<br> 6x + 4y = –10
Firlakuza [10]

Answer:

x=-1

y=-1

Step-by-step explanation:

-6x + 5y =1 ......equation (1)

6x + 4y = –10 ......equation (2)

adding equation (1) to equation (2)

9y=-9

9y/9 =-9/9 (dividing both side by the coefficient of y)

y=-1

subtituting the value of y =-1 into equation (2)

6x+4(-1)=-10

6x+(-4)=-10

6x-4=-10

6x=-10+4(making constant to be at one side and the variable at the other side)

6x=-6

x=-6/6

x=-1

8 0
3 years ago
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