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Question
vicky estimates it will take her 46 minutes to drive to the movies, but it only actually ends up taking her 40 minutes. what is the percent error in vickys estimate? ?% round to the nearest whole percent.
Step1: Find the absolute error
The absolute error is the absolute value of the difference between the estimated value and the actual value. So, we calculate $|46 - 40|$.
$|46 - 40| = 6$
Step2: Use the percent error formula
The formula for percent error is $\text{Percent Error} = \frac{\text{Absolute Error}}{\text{Actual Value}} \times 100\%$. Here, the actual value is 40, and the absolute error is 6. So we substitute these values into the formula: $\frac{6}{40} \times 100\%$.
First, calculate $\frac{6}{40} = 0.15$. Then multiply by 100%: $0.15 \times 100\% = 15\%$.
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