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FromTheMoon [43]
3 years ago
11

On a certain hot​ summer's day, 645 people used the public swimming pool. The daily prices are $1.75 for children and $2.50 for

adults. The receipts for admission totaled $1367.25. How many children and how many adults swam at the public pool that​ day?
Mathematics
1 answer:
VladimirAG [237]3 years ago
4 0

Answer:

327 children and 318 adults

Step-by-step explanation:

The x be the amount of children and y be the amount of adults that were at the swimming pool. We can use this to set up a system of equations:

x+y=645

1.75x+2.50y=1367.25

Move y to the other side in the first equation to isolate x and solve the system using substitution:

x=645-y

  1.75(645-y)+2.50y=1367.25

Distribute

1128.75-1.75y+2.50y=1367.25

         1128.75+0.75y=1367.25

Subtract 1128.75 from both sides

                        0.75y=238.5

Divide both sides by 0.75

                                y=318

x=645-y

x=645-318

x=327

327 children and 318 adults swam at the pool that day

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The z-score is calculated using the formula:

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Find the SUM on a compound interest basis on $10,000 for 2 years at 7% pa (with explanation)
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5.4 Unexpected expense. In a random sample 765 adults in the United States, 322 say they could not cover a $400 unexpected expen
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Answer:

The population is under consideration in the data set is 765 adults in the United States.

The parameter must be the proportion of people who could not cover a $400 unexpected expense without borrowing money or going into debt.

The point estimated for the parameter is 0.421

Step-by-step explanation:

Consider the provided information.

In a random sample 765 adults in the United States, 322 say they could not cover a $400 unexpected expense without borrowing money or going into debt.

Part (A) What population is under consideration in the data set?

A population is refer to the total set of observation.

Since, the total adults in the data set is 765.

Thus, the population is under consideration in the data set is 765 adults in the United States.

Part (B) What parameter is being estimated?

The parameter is any number that characterizes the population in question.

322 say they could not cover a $400 unexpected expense without borrowing money or going into debt.

That means the parameter must be the proportion of people who could not cover a $400 unexpected expense without borrowing money or going into debt.

Hence, the parameter must be the proportion of people who could not cover a $400 unexpected expense without borrowing money or going into debt.

Part (C) What is the point estimate for the parameter?

We can calculate the point estimate by dividing the number of people could not cover a $400 unexpected expense with total number of adults.

\frac{322}{765} \approx 0.421

Hence, the point estimated for the parameter is 0.421

8 0
3 years ago
Read 2 more answers
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