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Mashutka [201]
3 years ago
8

Assume that four men and four women are to sit in a row of eight chairs. In how many ways can these people sit if all men must s

it together and all the women must sit​ together? Use the fundamental counting principle. To apply this​ principle, first identify the separate tasks involved in making the seating arrangements.
Mathematics
1 answer:
Maurinko [17]3 years ago
6 0

Answer:

The people can sit in 1,152 possible ways if all men must sit together and all women must sit​ together.

Explanation:

The 4 men must sit together.

Number of ways to arrange the 4 men together

= 4! = 4 x 3 x 2 x 1 = 24

Similarly, the 4 women must sit together.

Number of ways to arrange the 4 women together

= 4! = 4 x 3 x 2 x 1 = 24

Now the 8 chairs are placed in a row. There are 2 ways to arrange the men and women: either the men must sit in the first 4 chairs and women in the last 4 chairs, or the women must sit in the first 4 chairs and men in the last 4 chairs.

Hence, total number of ways to arrange the 8 people

= 24 x 24 x 2

= 1,152

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Answer:

Option A. Divide 382 by 1027.

Step-by-step explanation:

A survey was done about the people who preferred running indoors and outdoors. Then a two way table was prepared.

Amir is making a relative frequency table.

As we know relative frequency table is prepared by the dividing number of frequency by the total number of students taken in the sample.

Now he will take the data from the given two way table.

People age 30 years and younger were 382 running outdoors and 105 running indoor.

So people having age 30 and below are 382 + 105 = 487

Similarly people Over 30 years old running outdoor and indoor = 299 + 241 = 541

Now Total number of people taken in the sample = 487 + 541 = 1027

So relative frequency for the people of age 30 and younger will be

382/1027 for outdoor and 105/1027 for indoor.

Therefore answer will be Option A. Divide by 382/1027.

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3 years ago
A house and a lot is appraised at $212,400. The value of the house is five times more the value of the lot. What is the house wo
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the lot is worth $35,400
5 0
3 years ago
Solve the equation. PLS
pochemuha

Answer:

n= 26, so the answer would be 'B'.

Step-by-step explanation:

n-8=18

n=18+8

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4 0
3 years ago
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The cost of attendance at State College is $19,500 for the first year. Devise a periodic savings plan that will allow you to mak
ValentinkaMS [17]
We are told to use simple interest rate. Formula for this is:
A=P*(1+r*t)

Where:
A= total accumulated amount (principal + interest)
P= principal
r= yearly percentage rate
t= number of years

We need to save $19500 for the first year at a college. This is the amount we will have at the account after five years. In our case this is A.
Principal is the amount we need to put into savings to get the total amount needed. In our case this is P.
Yearly percentage rate is the percentage by which our savings increase at the end of a year. In our case this is r.
t is number of years that we are holding our money on the bank account.

To solve this problem we will assume that we are putting same amount each month on the bank account.

We are given:
A=$19500
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t=5 years

First step is to transform r into decimal number:
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Now we get back to our formula and we solve it for P:
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This is our solution for this problem. This is closest to the amount we would need to put in real life. In real life we would earn interest onto interest and our monthly amount would be smaller.
3 0
4 years ago
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So you want to get t onto the right side so what you would do is subtract 8t from each side and add 8 to each side

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Divide each side by -5

t= -4
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4 years ago
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