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3 years ago

Someone help me on this one

Mathematics

1 answer:

juin [17]3 years ago

6 0

It's an isosceles triangle, so the angles at the base are congruent:

$m\anlge WXY=m\angle WZY$

The triangle XYW is a rectangular triangle.

We know that the sum of the measures of angles in a triangle is 180°.

Therefore we have the equation:

$m\angle YWZ+90^o+17^o=180^o\\\\m\angle YWZ+107^o=180^o\ \ \ |-107^o\\\\m\angle YWZ=73^o$

Answer: 73

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3 years ago

Taco Bell has decided to keep their doors open all night. There are 25 employees that have volunteered for the night shift. a) I

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Answer:

a) 1,081,575

b) 735,471

c) 1,075,140

d) 0.3159

Step-by-step explanation:

This is a combination of 25 elements taken 8 at a time

$\binom{25}{8}=\frac{25!}{8!(25-8)!}=\frac{25!}{8!17!}=1081575$

Supposing number 1 is the best, if we leave him/her out we will now have 24 employees, so now it is a combination of 24 elements taken 8 at a time

$\binom{24}{8}=\frac{24!}{8!(24-8)!}=\frac{24!}{8!16!}=735471$

Let's compute the complement of this set and then subtract.

That is to say, compute how many crews do not have any of the 10 best.

This would be a combination of 25-10 = 15 taken 8 at a time

$\binom{15}{8}=\frac{15!}{8!(15-8)!}=\frac{15!}{8!7!}=6435$

If we subtract this figure from the total of possible crews, we get 1,081,575 - 6,435 = 1,075,140 possible crews with at least one of the 10 best.

From the figure obtained in c) we subtract the figure obtained in b) 1,075,140 - 735,471 = 339,669 and this is the number of crews that do not have number 1, so the probability that in a crew with at least one of the 10 best number 1 is not there is

339,669/1,075,140 = 0.3159

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2 years ago