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Setler [38]
2 years ago
13

A department store mails a customer satisfaction survey to people who make credit card purchases at the store. This month, 3521

people made credit card purchases. Surveys are mailed to 278 of these people, chosen at random, and 172 people return the survey form. Identify the population and the sample.
Mathematics
1 answer:
vladimir2022 [97]2 years ago
5 0

Answer:

The population is the population of 3521 people who made credit card purchases.

The sample is the 172 people who returned the survey form.

Step-by-step explanation:

Department mails customers satisfactions forms to those who make credit cards purchase at the store, totaling 3521 people. Thus, the population is the population of 3521 people who made credit card purchases.

Surveys are mailed to 278 of these people, chosen at random, and 172 people return the survey form.

Thus the sample, that is, those from whom the data will be taken and expanded to the rest of the population, is the 172 people who returned the survey form.

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Convert the following repeating decimal to a fraction in simplest form .31 with the 1 repeating
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Answer:

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Step-by-step explanation:

So we have the fraction:

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We can do this algebraically. Follow to following steps:

Let's let this number equal to n. Thus:

0.31111...=n

Since there is only 1 digit repeating, let's multiply everything by 10. So:

3.1111...=10n

Now, subtract n from both sides:

3.1111-n=10n-n

On the left, substitute the number for n. On the right, combine like terms:

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All of the 1s will cancel. So:

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Subtract:

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Remove the decimal by multiplying both sides by 10:

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Reduce:

n=14/45

And we're done!

Use a calculator to check:

14/45\stackrel{\checkmark}{=}0.31111...

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