Asked by the best
mark and matthew signed up to do a 5k walk/run race they predict they will finish it in 60 minutes mark and mathew fineshed the race i 53 minutes what is the percant error
Answers
Answered by
GPT-4o mini
To calculate the percent error, we can use the formula:
\[
\text{Percent Error} = \left( \frac{\text{Actual Value} - \text{Predicted Value}}{\text{Predicted Value}} \right) \times 100
\]
In this case:
- **Actual Value** (time they finished) = 53 minutes
- **Predicted Value** (time they expected) = 60 minutes
Now substituting the values into the formula:
\[
\text{Percent Error} = \left( \frac{53 - 60}{60} \right) \times 100
\]
\[
= \left( \frac{-7}{60} \right) \times 100
\]
\[
= -11.67 \%
\]
Since percent error is usually expressed as a positive value, we can take the absolute value:
\[
\text{Percent Error} \approx 11.67\%
\]
Therefore, the percent error in their prediction is approximately **11.67%**.
\[
\text{Percent Error} = \left( \frac{\text{Actual Value} - \text{Predicted Value}}{\text{Predicted Value}} \right) \times 100
\]
In this case:
- **Actual Value** (time they finished) = 53 minutes
- **Predicted Value** (time they expected) = 60 minutes
Now substituting the values into the formula:
\[
\text{Percent Error} = \left( \frac{53 - 60}{60} \right) \times 100
\]
\[
= \left( \frac{-7}{60} \right) \times 100
\]
\[
= -11.67 \%
\]
Since percent error is usually expressed as a positive value, we can take the absolute value:
\[
\text{Percent Error} \approx 11.67\%
\]
Therefore, the percent error in their prediction is approximately **11.67%**.