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Probability with permutations and combinations
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Nia is 1 of 24 students in a class. Every month, Nia's teacher randomly selects 4 students from their class to act
as class president, vice president, secretary, and treasurer. No one student can hold two positions.
Do
In a given month, what is the probability that Nia is chosen as president?
Choose 1 answer:
BRE
TA
1
24 P4
As
A
1
MY
TATU
Co
©
23 P 3
24 P4
SAT
MY
D
(24 P.). (24 P3)
24 P4
Pro
2 of 4 .OOO

Answers

Answer 1

Using permutations and the probability concept, it is found that there is a 0.0417 = 4.17% probability that Nia is chosen as president.

A probability is the number of desired outcomes divided by the number of total outcomes.As there are different roles, the order in which the students are chosen is important, hence, the permutation formula is used to solve this question.

Permutation formula:

The number of possible permutations of x elements from a set of n elements is given by:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

Desired outcomes:

Nia's president.For the other roles, 3 students from a set of 23, hence:

[tex]D = P_{23,3} = \frac{23!}{20!} = 10626[/tex]

Total outcomes:

4 students from a set of 24, hence:

[tex]T = P_{24,4} = \frac{24!}{20!} = 255024[/tex]

Then:

[tex]p = \frac{D}{T} = \frac{10626}{255024} = 0.0417[/tex]

0.0417 = 4.17% probability that Nia is chosen as president.

To learn more about probabilities, you can take a look at https://brainly.com/question/24437717

Answer 2

Answer:The answer is 23 P 3/ 24 P 4

Step-by-step explanation:


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Answers

Answer:

Let the third side be x

We know that

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So,

9 + 3 > x

12 > x (1)

Also, difference of two side of triangle must be smaller than the third side

9 - 3 < x

6 < x (2)

From 1 and 2 we concluded

6 < x < 12

The length of third side would lie between 7 to 11

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Step-by-step explanation:

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hope this helps you.

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Answers

Hello :) Here is the step by step,

                                                     

19c+1=39

Subtract 1 from both sides.

19c=39−1

Subtract 1 from 39 to get 38.

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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PLEASE HELP ME SOMEONE ILL GIVE YOU POINTS AND BRAINLIST ANSWER!!!!

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Answer:

r=20°

Step-by-step explanation:

Because the whole angle is 180°, you can make an equation.

105+(4r-5)=180

4r-5=75

4r=80

r=20

Give the other person brainliest ;)

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Answers

Answer:

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Step-by-step explanation:

20^2 + x^2 = 25^2

= 400 + x^2 = 625

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= x = 15

Answer:

15

Step-by-step explanation:

20^2 + x^2 = 25^2

= 400 + x^2 = 625

= x^2 = 225

= x = 15

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Answer:

35

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

I have provided a graph to help illustrate the relationship between these two lines, (The red line is line A which is y = 2x + 4, and the blue line is line B which is y = 4x + 9).

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Answers

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Answer:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

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Step-by-step explanation:

Answer:

Refers to attachment

Step-by-step explanation:

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Im good at math, what do you need help with?

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Answers

Answer:

6

Step-by-step explanation:

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Enter your answer in the box.

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Enter your answer in the box.

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Answer:

Step-by-step explanation:

1. 13

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Answer:

5

Step-by-step explanation:

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Method is "Keep, Change, Flip"

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Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

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Step-by-step explanation:

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Answer:

2/5

Step-by-step explanation:

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Ok done. Thank to me :>
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Answer:

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Step-by-step explanation:

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Alternate Exterior Angles Theorem

Answer:

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