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)
Percent error is calculated by taking the absolute value of the difference between the predicted value and the actual value, dividing it by the actual value, and then multiplying by 100.
The actual number of occupied seats is 81,500 and Layla predicted 79,000.
The absolute value of the difference between 81,500 and 79,000 is |81,500 - 79,000| = |2,500| = 2,500.
So, the percent error is (2,500 / 81,500) * 100 ≈ 3.07.
Rounding to the nearest hundredth of a percent, the percent error is 3.07%.
To find the percent error of Layla's prediction, we need to calculate the difference between the actual number of occupied seats and Layla's predicted number of occupied seats, and then express that difference as a percentage of the actual number of occupied seats.
The actual number of occupied seats is 81,500.
Layla's predicted number of occupied seats is 79,000.
The difference between the actual and predicted numbers of occupied seats is 81,500 - 79,000 = 2,500.
To express this difference as a percentage of the actual number of occupied seats, we divide the difference by the actual number of occupied seats and multiply by 100:
((2,500 / 81,500) * 100).
To the nearest hundredth of a percent, the percent error of Layla's prediction is 3.06%.
To find the percent error of Layla's prediction, we need to compare her prediction of 79,000 occupied seats to the actual number of occupied seats.
First, we can find the difference between her prediction and the actual number by subtracting 79,000 from 81,500:
81,500 - 79,000 = 2,500
Next, we need to calculate the relative error, which is the absolute value of the difference divided by the actual value. In this case, the actual value is 81,500:
Relative Error = |Difference| / Actual Value = |2,500| / 81,500
To find the percent error, multiply the relative error by 100 to express it as a percentage:
Percent Error = Relative Error * 100 = (|2,500| / 81,500) * 100
Now, let's calculate the percent error:
Percent Error ≈ (2,500 / 81,500) * 100
Rounding the result to the nearest hundredth of a percent, we get the percent error of Layla's prediction.