3 years ago

Which square has a dark blue section that is 1/3 × 3/5 of the square? PLEASE HELP ASAP!!!

1 answer:

8 0

Hello!

1/3 × 3/5 = 3/15

The correct answer is the first rectangle, because it has a total of 15 squares, and 3 of them are shaded blue.

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What is the probability of getting a 6 on the first roll, and a number less than five on the second roll

Ivanshal [37]

Answer:

1/9

Step-by-step explanation:

Probability of getting 6 = 1/6

Probability of getting less than 5 = 4/6 = 2/3

1/6 * 2/3 = 1/9

3 0

2 years ago

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

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