3 years ago

Which statement is true regarding the graphed functions?

Mathematics

1 answer:

RoseWind [281]3 years ago

4 0

Answer:c. F(2)=g(-2)

Step-by-step explanation:

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Prove that C(50,3) + C(50,4) = C(51,4)

valkas [14]

By definition of the binomial coefficient,

$C(n,k) = \dfrac{n!}{k!(n-k)!}$

so we have

$C(50,3) + C(50,4) = \dfrac{50!}{3!47!} + \dfrac{50!}{4!46!} \\\\ = \dfrac{50!}{3!46!} \left(\dfrac1{47} + \dfrac14\right) \\\\ = \dfrac{50!}{3!46!} \times \dfrac{51}{188} \\\\ = \dfrac{51!}{3!46!} \times \dfrac1{4\times47} \\\\ = \dfrac{51!}{4!47!} \\\\ = \dfrac{51!}{4!(51-4)!} = C(51,4)$

as required.

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2 years ago

Arjun sells handmade ceramic mugs he Mark's them up by 60% to make a profit they cost $8 in materials how much do this mugs cost

Reptile [31]

Answer:

$12.80

Step-by-step explanation:

Before markup: $8

After markup: $8 x 160% = $12.80

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2 years ago

a hand of 5-card draw poker is a simple random sample from the standard deck of 52 cards. How many 5 draw poker hands are there

emmasim [6.3K]

Answer:

2,598,960

Step-by-step explanation:

It is a combination because order doesn't matter. You wouldn't want to call A-K-Q-J-10 of hearts a different combination than 10-J-Q-K-A.

52 C 5 = 2,598,960

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2 years ago

On an algebra test, the highest grade was 42 points higher than lowest grade.