Mark and Matthew signed up to walk in a 5K Walk/Run Race. They predict it will take them 50 minutes to complete the race. Mark and Matthew finished the race in 46 minutes. What is the percentage error?
To find the percentage error, we need to calculate the difference between the predicted time and the actual time, and then divide this difference by the predicted time and multiply by 100.
Predicted time: 50 minutes
Actual time: 46 minutes
Difference: 50 - 46 = 4 minutes
Percentage error = (4 / 50) * 100
Percentage error = 0.08 * 100
Percentage error = 8%
Therefore, the percentage error is 8%.
To calculate the percentage error, you need to determine the difference between the predicted time and the actual time.
1. Subtract the predicted time (50 minutes) from the actual time (46 minutes).
Difference = Actual time - Predicted time = 46 minutes - 50 minutes = -4 minutes (negative because they finished earlier)
2. Take the absolute value of the difference.
Absolute Difference = |-4 minutes| = 4 minutes
3. Divide the absolute difference by the predicted time.
Percentage Error = (Absolute Difference / Predicted time) x 100%
= (4 minutes / 50 minutes) x 100%
Now let's calculate the percentage error:
Percentage Error = (4 minutes / 50 minutes) x 100%
= (0.08) x 100%
= 8%
Therefore, the percentage error is 8%.
To find the percentage error, we need to calculate the difference between the predicted time and the actual time, and then express that difference as a percentage of the predicted time.
1. Calculate the difference between the predicted time and the actual time:
Actual time - Predicted time = 46 minutes - 50 minutes = -4 minutes
2. Since we are looking for the percentage error, we need to express the difference as a percentage of the predicted time. To do this, divide the difference by the predicted time and multiply by 100:
Percentage Error = (Difference / Predicted time) * 100
Percentage Error = (-4 minutes / 50 minutes) * 100
3. Simplify the equation:
Percentage Error = -8%
Therefore, the percentage error is -8%.