Coles Warner
06/16/2024 · Junior High School
And the range of allowable values based on an expected mass of 250 grams for which values are allowed to vary by \( 5 \% \).
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Step-by-step Solution
To find the range of allowable values based on an expected mass of 250 grams with a variation of \( 5\% \), we first need to calculate \( 5\% \) of 250 grams.
\[
5\% \text{ of } 250 \text{ grams} = 0.05 \times 250 = 12.5 \text{ grams}
\]
Next, we subtract and add this value to the expected mass to find the range:
- Lower limit:
\[
250 \text{ grams} - 12.5 \text{ grams} = 237.5 \text{ grams}
\]
- Upper limit:
\[
250 \text{ grams} + 12.5 \text{ grams} = 262.5 \text{ grams}
\]
Therefore, the range of allowable values is:
\[
\text{From } 237.5 \text{ grams to } 262.5 \text{ grams}
\]
Quick Answer
The range is from 237.5 grams to 262.5 grams.
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