A university football stadium has 81,500 seats. The stadium is at full capacity on game day. Layla believes only 79,000 seats are occupied. Find the percent error of Layla's prediction. Round your answer to the nearest hundredth of a percent. (1 point)
О 3.07%
• 90.3067%
• 0.0307%
0-3.07%
To find the percent error, we can use the formula:
Percent Error = (|Predicted Value - Actual Value| / Actual Value) * 100
In this case, the predicted value is 79,000 and the actual value is 81,500.
Percent Error = (|79,000 - 81,500| / 81,500) * 100
Percent Error = (2,500 / 81,500) * 100
Percent Error ≈ 3.0678%
Rounded to the nearest hundredth of a percent, the percent error of Layla's prediction is 3.07%.
Therefore, the correct answer is:
О 3.07%
To find the percent error of Layla's prediction, we need to compare her prediction to the actual number of seats occupied.
Layla predicted that there were only 79,000 seats occupied. The actual number of seats occupied is 81,500.
To find the percent error, we can use the formula:
Percent Error = (|Actual - Predicted| / Actual) * 100
Substituting the given values:
Percent Error = (|81,500 - 79,000| / 81,500) * 100
Percent Error = (2,500 / 81,500) * 100
Now we can calculate the percent error:
Percent Error ≈ 3.07%
Therefore, the correct answer is:
О 3.07%
To find the percent error of Layla's prediction, we need to compare her predicted number of occupied seats (79,000) with the actual number of occupied seats (81,500).
The formula for percent error is:
Percent Error = (|Observed Value - Predicted Value| / Observed Value) * 100
Using this formula, we can calculate the percent error as follows:
Percent Error = (|81,500 - 79,000| / 81,500) * 100
Calculating the numbers within the absolute value bar:
|81,500 - 79,000| = 2,500
Substituting the values into the formula:
Percent Error = (2,500 / 81,500) * 100
Calculating the division:
Percent Error = 0.03067 * 100
Converting the decimal to a percentage:
Percent Error = 3.067%
Rounded to the nearest hundredth of a percent, the percent error of Layla's prediction is 3.07%.
Therefore, the correct answer option is:
• 3.07%