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

Answers

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 ;)

Mo has a bag of sweets she has 3 chews and2 mints left Seh picks out a sweet what is the probability that she picks a mint

Answers

Answer:

2/5

Step-by-step explanation:

If she has 3 chews and 2 mints left, the probability that she picks a mint is 2/5 as they are only 2 mints and 3 chews and 2+3 = 5. So the awnser is 2/5.

What is the value of x in this equation? Enter your answer in the box.
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Answers

Answer:

6

Step-by-step explanation:

(2.4×10³)×(3×10^x)=7.2×10^9

(3x10^x)=(7.2×10^9)/(2.4×10^3)

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Answer:

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Step-by-step explanation:

a diver jumps a platform 16 feet above the water to a depth of 6 feet below the surface of the water. what is the distance he dives

Answers

Well if he started at +16 above the water and ended up at -6 he dove -10 feet

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Answers

Answer:

!70 girls

Step-by-step explanation:

230 - 60 = 170

hope this helps

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

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Answer:

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Step-by-step explanation:

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Answer:

$846

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer: A. 20%

Step-by-step explanation:

First, to find the total number of teachers, we can add 25+32+18+5+20=100

Next, we divide the number of teachers in 2014 (20) by the total number of teachers (100) as follows:

20 ÷ 100 = 0.2

Finally, to make 0.2 a percentage, we can multiply 0.2 X 100 = 20

Therefore, the correct answer is A.

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Answer:

Substitute the given n-values into each function, f(n), to determine which generates the same values as the given a(n)'s.

Step-by-step explanation:

t - 2 2/3 = - 5/2
A. 1/6
B. -1/6
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D. -4 1/3

Answers

Ok done. Thank to me :>
the answer is a) 1/6

What are the zeros of this function?
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B. x=0 and x=5
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Answers

Answer:

c i dont know

Step-by-step explanation:

Answer:

Definitely not C

Step-by-step explanation:

4x^2 = 16

The solution to the equation is: ____?

Answers

[tex] {4x}^{2} = 16 \\ = > {x}^{2} = \frac{16}{4} \\ = > {x}^{2} = 4 \\ = > x = \sqrt{4} \\ = > x = ± 2 \: \: [/tex]

Answer:

The solution to the equation is: ±2.

Hope you could get an idea from here.

Doubt clarification - use comment section.

Which congruence criteria is met in the following scenario?
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HL, it has those 90° angle signs

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Answers

Answer:

The slope is steeper and the line is shifted flatter.

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).

As you can see, the slope does determine the steepness of the lines. This means that line A's slope is going up 2 units and over to the right 1 unit, whereas line B's slope is going up 4 units and to the right 1.

Therefore, if line A is to transform into line B, then its slope will be steeper.

Hope this helps you :)

Also, P.S. I don't know if there are supposed to be more options, so I apologize if flatter does not belong in the second box.

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Answers

Answer:

6 55

Step-by-step explanation:

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Answers

Answer:

9h + 18

Step-by-step explanation:

9 multiplyed by h is 9h. 9 multiplyed by 2 is 18. Therefore it is 9h + 18.

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Answers

Step-by-step explanation:

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Answers

Hello :) Here is the step by step,

                                                     

19c+1=39

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19c=39−1

Subtract 1 from 39 to get 38.

19c=38

Divide both sides by 19.

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Answer:

Step-by-step explanation:

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Answers

Answer:

Let the third side be x

We know that

Sum of two sides of a triangle must be greater than the third side

So,

9 + 3 > x

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Corresponding Angles Theorem

Alternate Exterior Angles Theorem

Answer:

y=85°

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I hope you get this right!!

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Answers

[tex]\dfrac{3}{\tfrac 35} = 3 \times \dfrac 53 = 5[/tex]

Answer:

5

Step-by-step explanation:

3 -> [tex]\frac{3}{1}[/tex]

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^∇^)

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Step-by-step explanation:

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Step-by-step explanation:

Calculator
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Step-by-step explanation:

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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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Enter your answer in the box.

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Answers

Answer:

Step-by-step explanation:

1. 13

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