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3 years ago

Which of these sets consists entirely of composite numbers?

Mathematics

1 answer:

AfilCa [17]3 years ago

5 0

That would be 6,12,18,24,30

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allsm [11]

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4 years ago

An employer interviews 12 people for four openings at a company. Five of the 12 people are women. All 12 applicants are qualifie

MA_775_DIABLO [31]

Answer:

a) The employer can fill the four positions in 495 ways.

b) The employer can fill the four positions in 210 ways.

Step-by-step explanation:

The order is not important.

For example:

Selecting John, Laura, Mary and Tre'Davious is the same as selecting Laura, John, Mary and Tre'Davious.

So we use the combinations formula to solve this problem.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

(a) the selection is random

There are 12 people, and 4 are selected. So

$C_{12,4} = \frac{12!}{4!8!} = 495$

(b) exactly two selections are women?

There are 7 men and 5 women. We want to select 2 men and 2 women. So

$C_{7,2}*C_{5,2} = \frac{7!}{2!5!}*\frac{5!}{2!3!} = 210$

3 0

4 years ago

A gardener is planting two types of trees: Type A is 4 feet tall and grows at a rate of 24 inches per year. Type B is 5 feet tal

goldenfox [79]

It would take 5 yrs. for both trees to be the same height.

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3 years ago

Wich of the following expressions are equivalent to - 2/3 ? select all that apply

MrRa [10]

Answer:

A, C and E

Step-by-step explanation:

Simplify each expression to lowest terms. Equivalent expressions will be any expressions which are equal after simplifying to lowest terms.

A. -1/9 * 6 = -6/9 = -2/3

B. -15/10 = -3/2

C. 12/-18 = -2/3

D. -3/4 * 2/1 = -6/4 = -3/2

E. -8/9 * 3/4 = -24/36 = -2/3

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3 years ago

Students in a large psychology class measured the time, in seconds, it took each of them to perform a certain task. The times we

qwelly [4]

Answer: z= 1.72

Step-by-step explanation:

Don’t ask me how I guessed and it was right

5 0

3 years ago