## Related questions with answers

Sampling techniques can be used to estimate physical quantities. To estimate a large quantity, you might measure a representative small sample and find the total quantity by "scaling up."To estimate a small quantity, you might measure several of the small quantities together and "scale down." In each of the following, describe your estimation technique and answer the questions.

*Example*: How thick is a sheet of a paper?

*Solution*: One way to estimate the thickness of a sheet of paper is to measure the thickness of a ream ($500$ sheets) of paper. A particular ream was $7.5$ centimeters thick. Thus, a sheet of paper from this ream was $7.5 \mathrm{~cm} \div 500=0.015 \mathrm{~cm}$, or $0.15$ millimeter, thick.

How much does a sheet of paper weigh?How thick is a penny? a nickel? a dime? a quarter? Would you rather have your height stacked in pennies, nickels, dimes, or quarters? Explain.

Solution

VerifiedWe'll put ten pennies on top of each other and then measure their height with a ruler with millimeters. The mentioned height is here $15\text{mm}$. Since there are ten coins, the height of one of them is:

$\dfrac{15\text{mm}}{10}=1.5\text{mm}$

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