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Question
for a scale to pass inspection, the scales reading can vary by at most 0.1% from the actual mass of an object on the scale. a test mass has an exact mass of 250.00 grams. in what range must the scales reading be for the scale to pass inspection?
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__ grams to __ grams
Step1: Calculate the maximum variation
First, find 0.1% of 250.00 grams. The formula for percentage variation is $\text{Variation} = \frac{0.1}{100} \times 250.00$.
$\frac{0.1}{100} \times 250.00 = 0.25$ grams.
Step2: Find the lower bound
Subtract the variation from the actual mass: $250.00 - 0.25 = 249.75$ grams.
Step3: Find the upper bound
Add the variation to the actual mass: $250.00 + 0.25 = 250.25$ grams.
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249.75 grams to 250.25 grams