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Question
may estimates her dresser drawer is 280 mm deep, but its actually 305 mm deep. what is the percent error in mays estimate? ?% round to the nearest whole percent.
Step1: Find the absolute error
The absolute error is the absolute value of the difference between the actual value and the estimated value. So, \( |305 - 280| = 25 \) mm.
Step2: Use the percent error formula
The formula for percent error is \( \text{Percent Error} = \frac{|\text{Estimated Value} - \text{Actual Value}|}{\text{Actual Value}} \times 100\% \). Substituting the values, we get \( \frac{25}{305} \times 100\% \).
Step3: Calculate the value
\( \frac{25}{305} \times 100\% \approx 8.1967\% \), which rounds to 8% when rounded to the nearest whole percent.
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