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3 years ago

I need the answer to number 6 & 7 please

Mathematics

1 answer:

zlopas [31]3 years ago

8 0

6.
$k=\dfrac{y}{x}\\
k=\dfrac{25}{1}=25 \Rightarrow H$

7.
$\dfrac{118}{13}=\dfrac{59}{z}\\
118z=767\\
z=\dfrac{767}{118}=0.6$

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11. A club has 45 members and its membership committee has 7 members. How many different

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Answer: $\Large\boxed{45379620}$

Step-by-step explanation:

Given information

Total members = 45

Number of membership = 7

Concept

Imagine that the membership is seating where people need to sit:

_____ _____ _____ _____ _____ _____ _____

For every position, there can be only 1 member, and 1 member can only be in one membership position, so there will not be the repetition of members.

Also, since order does not matter in assigning memberships, we use a combination

Given formula

$\dbinom{n}{r}=\dfrac{n!}{(n-r)!r!}$

$n=size~of~the~set\\r=number~of~selected$

Substitute values into the given formula

$\dbinom{45}{7}=\dfrac{45!}{(38)!7!}$

Simplify the fraction by canceling out repeating values

$\dbinom{45}{7}=\dfrac{45\times44\times43\times42\times41\times40\times39\times38!}{(38)!7!}$

$\dbinom{45}{7}=\dfrac{45\times44\times43\times42\times41\times40\times39\times\underline{38!}}{(\underline{38)!}7!}$

$\dbinom{45}{7}=\dfrac{45\times44\times43\times42\times41\times40\times39}{7!}$

$\Large\boxed{\dbinom{45}{7}=45379620}$

Hope this helps!! :)

Please let me know if you have any questions

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