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Eduardwww [97]
3 years ago
10

In how many ways can 13 people be divided into four groups with 3, 6, 2 and 2 people respectively?

Mathematics
1 answer:
OleMash [197]3 years ago
8 0

Answer:

Total combination = 180,180

Step-by-step explanation:

It is a combination based problem.

So,

Total people = 13

Group = 3,6,2,2

So,

For 6 people

13C6= 1,716

For 3 people

7C3 = 35

For 2 group of 2 people

(4C2)/2 = 3

Total combination = 1,716 × 35 × 3

Total combination = 180,180

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Answer:

8 more teachers

Step-by-step explanation:

Since 15% of the committee are parents of students, 45% are teachers from the current high school, 25% are school and district administrators, the total percentage is

→ 15 + 45 + 25 = %85

The remaining percentage is 15, and it is equal to 6 students. Then, the total number of people in the committee is

→ \frac{15}{100} = \frac{6}{x} → x = 40

Since %45 of the committee are teachers, the number of teachers is

→ 40(\frac{45}{100}) = 18

Since %25 of the committee are school and district administrators, the number of school and district administrators is

→ 40(\frac{25}{100}) = 10

That means, there are 18 - 10 = 8 more teachers

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3 years ago
What is an equation of the line that passes through the points (6, -3) and<br> (-6, -5)?
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Answer:

Slope: y2-y1/x2-x1

-5+3/-6-6 = 1/6

y+3 = 1/6 (x-6)

y+3 = 1/6x - 1

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Step-by-step explanation:

5 0
2 years ago
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What does x equal 2x+9=33
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3 years ago
A retired woman has $80,000 to invest but needs to make $6,000 a year from the interest to meet certain living expenses. One bon
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The woman will have to invest 40000 at .15 to earn 6000 a year in interest. that leaves her 40000 to invest in a cd.

I set this up...

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Which statement explains if a dilation was applied? A dilation was applied to the fabric because the width of the fabric was pre
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Answer:  A dilation was applied to the fabric because the angle measures were preserved.

Step-by-step explanation:

  • A dilation is a transformation that creates an image that is the exactly same shape as the original but have a different size.
  • It preserves the angles of the figure.
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Let's check the given statement:

If any side-length of the fabric was preserved then it's not dilation, so first statement is wrong.

By the definition of dilation, it preserves the angles of the figure  so the second statement is correct.

Also, third and fourth statements are wrong by the definition of dilation.

Hence, the correct answer is " A dilation was applied to the fabric because the angle measures were preserved.".

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