Question

mike estimates it will take him 29 minutes to do the dishes, but it actually ends up taking him 38 minutes. what is the percent error in mikes estimate? ?% round to the nearest whole percent.

Explanation:

Step1: Find the absolute error

The absolute error is the absolute difference between the actual value and the estimated value. So, we calculate $|38 - 29|$.
$|38 - 29| = 9$

Step2: Calculate the percent error

The formula for percent error is $\frac{\text{Absolute Error}}{\text{Actual Value}} \times 100\%$. We substitute the absolute error (9) and the actual value (38) into the formula.
$\frac{9}{38} \times 100\% \approx 0.2368 \times 100\% = 23.68\%$

Step3: Round to the nearest whole percent

Rounding 23.68% to the nearest whole percent gives 24%.

Answer:

24%