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4 years ago

Help! Please. I don’t know what I did wrong.

Mathematics

1 answer:

Debora [2.8K]4 years ago

6 0

Answer:

1320, permutation

Step-by-step explanation:

There are 12 members

Pick a president

We have 12 choices

Now there are 11 people left to pick from

now pick a vp

We have 11 choices

Now there are 10 people left to pick from

now pick a secretary

We have 10 choices

12*11*10 = 1320

This is a permutation since it matters who is president, vp and secretary

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Two rainstorms occurred in one week. First storm 15 mL of rain fell per hour. Second storm 30 mL of rain fell per hour. The rain

sergeinik [125]

Answer:

The answer to your question is the first rain lasted 40 hours and the second rain lasted 30 hours.

Step-by-step explanation:

Data

1st 15 ml/h = x

2nd 30 ml/h = y

Total time = 70 h and 1500 ml

1.- Write 2 equations

First rain + second rain = 70 h

x + y = 70 (I)

15x + 30 y = 1500 (II)

2.- Solve equations by elimination

Multiply first equation by -15

-15x - 15y = - 1050

15x + 30y = 1500

0x + 15y = 450

y = 450 / 15

y = 30 h

x + 30 = 70

x = 70 - 30

x = 40 h

3.- Conclude

The first rain lasted 40 h and the second rain lasted 30 h.

3 0

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

PLEASE HELP!!! A.S.A.P!!

Ksivusya [100]

Answer:

142m

Step-by-step explanation:

This problem can be solved by simply using the pythagorean theorem, as you stated at the beginning of the problem, which is: $a^{2} +b^{2} =c^{2}$

You are given the a side and b side that are needed for this equation, so it's all a matter of plugging in the information you have:

$110^{2} +90^{2} =c^{2}$

$110^{2} =12100$

$90^{2} =8100$

$12100+8100=c^{2}$

$20200=c^{2}$

Now, because the c is still squared, you must take the square root of 20200 in order to get the length of just side c:

$\sqrt{20200}$ ≈142m

7 0

3 years ago

When i add or subtract polynomials, the degree adding together too? ex: 5X^3-2X^2+7X^2, the degree staying 3 or 2? or we add the

NemiM [27]

When I add or subtract polynomials, the degree adding together too?
Ex: 5X^3-2X^2+7X^2, the degree staying 3 or 2? Or we add them?
Answer:
5X^3-2X^2+7X^2
5 x ^3 + 5 x^2

Adding polynomials: simply add the like terms together. Like terms are terms with the same variables and exponents. 

Subtracting polynomials: reverse the sign of each term (in other words turn "+" into "-", and "-" into "+"), then proceed to addition.

Do not add the exponents.

4 0

3 years ago

Mark put his dog on a diet. The dog's total weight change for the first two weeks was -3/4 pound. The dog lost the same amount o

saw5 [17]

The change in the first week is .375 pounds =. Divide 3/4 by 2

8 0

4 years ago