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 predictions. Round your answer to the nearest hundredth of a percent.
To find the percent error, we need to compare Layla's prediction to the actual number of seats occupied on game day.
Actual number of seats occupied: 81,500
Layla's prediction: 79,000
Percent error = [(Actual value - Predicted value) / Actual value] * 100%
Percent error = [(81,500 - 79,000) / 81,500] * 100%
Percent error = (2,500 / 81,500) * 100%
Percent error ≈ 3.07%
Rounded to the nearest hundredth of a percent, Layla's percent error is 3.07%.
To find the percent error of Layla's prediction, we need to compare her estimate to the actual number of seats occupied.
Layla's estimate is 79,000 seats occupied, while the actual number of occupied seats is given as 81,500.
First, we calculate the difference between Layla's estimate and the actual number of occupied seats:
81,500 - 79,000 = 2,500
Next, we need to find the percent error. The formula for percent error is given by:
Percent Error = (|Actual Value - Estimated Value| / Actual Value) * 100
In this case, the actual value is 81,500, and the estimated value is 79,000.
Now, substituting these values into the formula, we get:
Percent Error = (|81,500 - 79,000| / 81,500) * 100
Simplifying further:
Percent Error = (2,500 / 81,500) * 100
Now, divide 2,500 by 81,500 and multiply the result by 100:
Percent Error = 3.07%
Therefore, Layla's percent error in her prediction is 3.07% (rounded to the nearest hundredth of a percent).
To find the percent error of Layla's predictions, we first need to calculate the absolute difference between the actual number of occupied seats and Layla's predicted number of occupied seats.
Absolute difference = Actual number of occupied seats - Predicted number of occupied seats
Actual number of occupied seats = 81,500
Predicted number of occupied seats = 79,000
Absolute difference = 81,500 - 79,000 = 2,500
Next, we need to find the relative difference, which is the absolute difference divided by the actual number of occupied seats.
Relative difference = Absolute difference / Actual number of occupied seats
Relative difference = 2,500 / 81,500 = 0.030675
Finally, we can express the relative difference as a percentage by multiplying it by 100.
Percent error = Relative difference * 100 = 0.030675 * 100 = 3.07%
Therefore, the percent error of Layla's predictions is 3.07%.