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tresset_1 [31]
2 years ago
15

For the figure shown, find m 1. 115 degrees 56 degrees m 1=°

Mathematics
1 answer:
atroni [7]2 years ago
3 0
I believe it would be 115 plus 56. subtract that from 180. i believe thisbis your answer
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The senior class at a very small high school has 25 students. Officers need to be elected for four positions: President, Vice-Pr
kirill115 [55]

Answer:

(a) The total number of ways to select 4 officers from from 25 students is 12,650.

(b) The total number of ways the four officers are selected such that the President and Treasurer are girls and the Vice-President and Secretary are boys is 5,148.

Step-by-step explanation:

(a)

It is provided that there are a total of <em>n</em> = 25 students.

Officers need to be elected for four positions:

President, Vice-President, Secretary, and Treasurer.

<em>k</em> = 4

In mathematics, the procedure to select <em>k</em> items from <em>n</em> distinct items, without replacement, is known as combinations.

The formula to compute the combinations of <em>k</em> items from <em>n</em> is given by the formula:

{n\choose k}=\frac{n!}{k!(n-k)!}

Compute the number of ways to select 4 students from from 25 as follows:

{25\choose 4}=\frac{25!}{4!(25-4)!}

      =\frac{25!}{4!\times 21!}\\\\=\frac{25\times 24\times 23\times 22\times 21!}{4!\times 21!}\\\\=\frac{25\times 24\times 23\times 22}{4\times 3\times 2\times 1}\\\\=12650

Thus, the total number of ways to select 4 officers from from 25 students is 12,650.

(b)

It is provided that of the 25 students, there are 13 girls and 12 boys in the class.

For the post of President and Treasurer only girls are selected.

For the post of Vice-President and Secretary only boys are selected.

Compute the number of ways to select 2 girls for the post of President and Treasurer as follows:

{13\choose 2}=\frac{13!}{2!(13-2)!}

      =\frac{13!}{2!\times 11!}\\\\=\frac{13\times 12\times 11!}{2!\times 11!}\\\\=\frac{13\times 12}{ 2\times 1}\\\\=78

Compute the number of ways to select 2 boys for the post of Vice-President and Secretary as follows:

{12\choose 2}=\frac{12!}{2!(12-2)!}

      =\frac{12!}{2!\times 10!}\\\\=\frac{12\times 11\times 10!}{2!\times 10!}\\\\=\frac{12\times 11}{ 2\times 1}\\\\=66

The number of ways the four officers are selected such that the President and Treasurer are girls and the Vice-President and Secretary are boys is:

{13\choose 2}\times {12\choose 2}=78\times 66=5148

Thus, the total number of ways the four officers are selected such that the President and Treasurer are girls and the Vice-President and Secretary are boys is 5,148.

7 0
2 years ago
Can you please help me with this question ❣​
damaskus [11]

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Answer:

  see attached

Step-by-step explanation:

A graphing calculator is useful for this.

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7 0
2 years ago
Please solve this question asap
Viefleur [7K]

36 -81.9  - 45.9  I keep getting -45.9

7 0
2 years ago
**PLEASE HELP ITS DUE TOMORROW** IMAGE IS FOR QUESTION 1
Fed [463]

For question 1. a five sided shape has 540° , so if you add all the sides up you get 479, so then you do 540 - 479, to get 61°, which is x

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Answer:

L

O

+

65.91828182

Step-by-step explanation:

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