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)
The actual number of occupied seats is 81,500.
The predicted number of occupied seats by Layla is 79,000.
To find the percent error, we need to calculate the difference between the predicted and actual values, divide it by the actual value, and multiply by 100 to get the percentage.
Percent Error = (Actual Value - Predicted Value) / Actual Value * 100
Percent Error = (81500 - 79000) / 81500 * 100
Percent Error = 2500 / 81500 * 100
Percent Error ≈ 3.07
Rounded to the nearest hundredth of a percent, the percent error of Layla's prediction is 3.07%.
To find the percent error of Layla's prediction, we need to find the difference between the actual number of seats occupied and the predicted number, and then divide that difference by the actual number of seats occupied. Finally, we multiply the result by 100.
Difference = Actual number of seats occupied - Predicted number of seats occupied
Difference = 81,500 - 79,000
Difference = 2,500
Percent Error = (Difference / Actual number of seats occupied) * 100
Percent Error = (2,500 / 81,500) * 100
Now, let's calculate this:
Percent Error = 0.0307 * 100
Percent Error = 3.07
Rounded to the nearest hundredth of a percent, the percent error of Layla's prediction is 3.07%.
To find the percent error of Layla's prediction, we need to find the difference between her prediction and the actual number of seats occupied, and then express that difference as a percentage of the actual number of seats occupied.
Actual number of seats occupied = 81,500
Layla's prediction = 79,000
Difference = Actual number of seats occupied - Layla's prediction
Difference = 81,500 - 79,000
Difference = 2,500
Percent error = (Difference / Actual number of seats occupied) * 100
Percent error = (2,500 / 81,500) * 100
To round the answer to the nearest hundredth of a percent, we need to round the final result.
Calculating the percent error:
Percent error = (2,500 / 81,500) * 100
Percent error ≈ 3.07%
Therefore, the percent error of Layla's prediction is approximately 3.07%.