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may estimates her dresser drawer is 280 mm deep, but its actually 305 m…

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.

Explanation:

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.

Answer:

8%