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) Responses 3.07% 3.07% −3.07% negative 3.07 percent 0.0307% 0.0307% 90.3067% 90.3067%
To find the percent error, we use the formula:
percent error = (|accepted value - measured value| / accepted value) * 100%
In this case:
accepted value = 81,500
measured value = 79,000
percent error = (|81,500 - 79,000| / 81,500) * 100%
= (2,500 / 81,500) * 100%
≈ 0.0306 * 100%
≈ 3.07%
Rounded 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 it 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 number and Layla's prediction is 81,500 - 79,000 = 2,500.
To express this as a percentage of the actual number of occupied seats, we divide the difference by the actual number and multiply by 100:
(2,500 / 81,500) * 100 ≈ 3.07%
Therefore, the percent error of Layla's prediction is approximately 3.07%.
To find the percent error of Layla's prediction, you need to compare her prediction with the actual number of seats occupied.
To calculate percent error, you can use the following formula:
Percent Error = ((|Layla's Prediction - Actual Value|) / Actual Value) * 100
In this case, Layla's prediction is 79,000 seats occupied, and the actual value is 81,500 seats occupied.
Applying the formula:
Percent Error = ((|79,000 - 81,500|) / 81,500) * 100
|79,000 - 81,500| evaluates to 2,500.
Plugging in the values:
Percent Error = (2,500 / 81,500) * 100
Calculating:
Percent Error ≈ 3.07%
Therefore, the percent error of Layla's prediction is approximately 3.07%.