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elena-s [515]
2 years ago
5

Each of the teams in a mixed volleyball league consists of 5 men and 5 women. there are 9 men and 10 women, including julia, who

are trying out for a team. how many possible teams would include julia? 15,876 31,752 45,722,880 457,228,800
Mathematics
1 answer:
IRISSAK [1]2 years ago
8 0

Using the combination formula, it is found that 15,876 teams would include Julia.

The order in which the people are chosen to the team is not important, hence the combination formula is used to solve this question.

<h3>What is the combination formula?</h3>

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by:

C_{n,x} = \frac{n!}{x!(n-x)!}

In this problem:

  • 5 men are chosen from a set of 9.
  • 4 women are chosen from a set of 9(as Julia is already on the team).

Hence the number of teams is given by:

C_{9,5} \times C_{9,4} = \frac{9!}{5!4!} \times \frac{9!}{5!4!} = 15876

More can be learned about the combination formula at brainly.com/question/25821700

#SPJ1

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The new translated function will be more towards the origin , as the value of length is decreased , Option C is the right answer.

<h3>What is a Function ?</h3>

A function is a mathematical statement used to relate a dependent and an independent variable.

It is given that

Area of a Rectangle is 10 sq. unit

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When the length of the Rectangle is increased by 1 ,

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The new translated function will be more towards the origin , as the value of length is decreased ,

This is represented by Graph 3 ,

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To know more about Function

brainly.com/question/12431044

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Which equation is the inverse of 2(x - 2)2 = 8(7 + y)?
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Answer:

The inverse of 2(x - 2)^2 = 8(7 + y) is y=\sqrt{(4x+28)}+2

Step-by-step explanation:

Given equation :2(x - 2)^2 = 8(7 + y)

\Rightarrow \frac{2(x-2)^2}{8}=7+y\\\Rightarrow \frac{2(x-2)^2}{8}-7=y

Replace x with y and y with x

So, \Rightarrow \frac{2(y-2)^2}{8}-7=x\\\Rightarrow \frac{2(y-2)^2}{8}=x+7\\\Rightarrow 2(y-2)^2=8(x+7)\\\Rightarrow (y-2)^2=4(x+7)\\\Rightarrow (y-2)=\sqrt{4(x+7)}\\\Rightarrow y=\sqrt{4(x+7)}+2\\\Rightarrow y=\sqrt{4x+28)}+2

So, Option C is correct

Hence The inverse of 2(x - 2)^2 = 8(7 + y) is y=\sqrt{(4x+28)}+2

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