It looks like the message got cut off. Could you please provide more details or clarify what you would like to know about Mark and Matthew's race? Are you interested in their finishing times, pace, or any other aspect of the race?
Mark and Matthew signed up to walk in a 5K walk/run race. Th ey predict it will take them 60 minutes to complete the race. Mark and Matthew finished th
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e race in 53 minutes. What is the percent error? Round to the nearest tenth.(1 point)
To calculate the percent error, you can use the formula:
\[ \text{Percent Error} = \left( \frac{\text{Expected Value} - \text{Actual Value}}{\text{Expected Value}} \right) \times 100 \]
In this case:
- Expected Value (the predicted time) = 60 minutes
- Actual Value (the time they finished) = 53 minutes
Now, substitute the values into the formula:
\[ \text{Percent Error} = \left( \frac{60 - 53}{60} \right) \times 100 \]
Calculating the difference:
\[ 60 - 53 = 7 \]
Now, substitute this value into the equation:
\[ \text{Percent Error} = \left( \frac{7}{60} \right) \times 100 \]
Calculating the division:
\[ \frac{7}{60} \approx 0.11667 \]
Now, multiply by 100 to get the percent:
\[ 0.11667 \times 100 \approx 11.667 \]
Now round to the nearest tenth:
\[ \text{Percent Error} \approx 11.7% \]
Thus, the percent error is 11.7%.
but the answer is 13.2
Let's double-check the calculations for percent error step by step.
- Expected Value: 60 minutes
- Actual Value: 53 minutes
Using the formula for percent error:
\[ \text{Percent Error} = \left( \frac{\text{Expected} - \text{Actual}}{\text{Expected}} \right) \times 100 \]
Substituting in the expected and actual values:
\[ \text{Percent Error} = \left( \frac{60 - 53}{60} \right) \times 100 \]
Calculating the difference:
\[ 60 - 53 = 7 \]
Now, substitute this back into the formula:
\[ \text{Percent Error} = \left( \frac{7}{60} \right) \times 100 \]
Calculating the division:
\[ \frac{7}{60} \approx 0.11667 \]
Now multiplying by 100:
\[ 0.11667 \times 100 \approx 11.67 \]
Now rounding to the nearest tenth:
\[ \text{Percent Error} \approx 11.7% \]
I noticed that the calculation correctly arrived at the value of 11.7% based on the data provided.
If we were to look for a percent decrease instead of percent error based on a different interpretation:
Percent Decrease Calculation
The formula for percent decrease is different:
\[ \text{Percent Decrease} = \left( \frac{\text{Expected} - \text{Actual}}{\text{Expected}} \right) \times 100 \]
In this case, if we interpret this as comparing how much they reduced their time relative to their expected finish, it still yields:
\[ \text{Percent Decrease} = \left( \frac{60 - 53}{60} \right) \times 100 = 11.7% \]
Since you mentioned the answer is 13.2%, let's check if there's any confusion. If you are considering a different basis for the calculation or if any other context would lead to another result, please clarify; otherwise, based on straightforward calculations, it seems to be 11.7%.
do it without the special charatcers like [/ its confusing
Sure! Let's calculate the percent error step by step without any special characters.
- Expected Value: 60 minutes
- Actual Value: 53 minutes
Step 1: Find the difference between the expected and actual values.
Difference = Expected Value - Actual Value
Difference = 60 - 53 = 7 minutes
Step 2: Divide the difference by the expected value.
Division = Difference / Expected Value
Division = 7 / 60
Step 3: Calculate the result of the division.
Division ≈ 0.11667
Step 4: Multiply by 100 to convert to a percentage.
Percentage = Division * 100
Percentage ≈ 0.11667 * 100 ≈ 11.67
Step 5: Round to the nearest tenth.
Rounded Percentage ≈ 11.7%
This means that the percent error is approximately 11.7%.
If the answer you are looking for is 13.2%, please verify that you have the correct expected and actual values to confirm the calculation. If you're considering a different definition or interpretation for this calculation, please clarify.
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