A university football stadium has 81,600 seats. The stadium is at full capacity on game day. Layla belleves only 79,000 seats are occupied. Find the percent enor of Layla's prediction. Round your answer to the nearest hundredth of a percent. (1 point)
O 90.3067%
O 0.0307%
O-8.07%
O 3.07%
To find the percent error, we need to subtract the actual value from the predicted value, divide the result by the actual value, and then multiply by 100 to get the percentage.
The actual value is 81,600 seats and the predicted value is 79,000 seats.
Difference = 79,000 - 81,600 = -2,600
Percent Error = (Difference / Actual value) * 100
Percent Error = (-2,600 / 81,600) * 100
Percent Error ≈ -3.185
Rounded to the nearest hundredth of a percent, the percent error is approximately -3.07%.
Therefore, the answer is O 3.07%.
To find the percent error of Layla's prediction, we will use the formula:
Percen Error = (|Observed Value - Predicted Value| / Predicted Value) * 100
In this case, the observed value is 79,000 (seats occupied) and the predicted value is 81,600 (total seats).
Substituting these values into the formula, we get:
Percent Error = (|79,000 - 81,600| / 81,600) * 100
= (|-2,600| / 81,600) * 100
= (2,600 / 81,600) * 100
= 0.0318 * 100
= 3.18
Rounding to the nearest hundredth of a percent, the percent error is approximately 3.18%.
So the correct answer is:
O 3.07%
To find the percent error of Layla's prediction, we need to compare the difference between the predicted value and the actual value to the actual value, and then express it as a percentage.
The actual number of occupied seats is 79,000, while the predicted number is 81,600. Therefore, the difference between the predicted value and the actual value is 81,600 - 79,000 = 2,600.
To find the percent error, we divide the difference by the actual value and then multiply by 100 to express it as a percentage:
Percent Error = (Difference / Actual Value) × 100
Percent Error = (2,600 / 79,000) × 100
Percent Error ≈ 0.0329 × 100
Percent Error ≈ 3.29%
Rounded to the nearest hundredth of a percent, the percent error of Layla's prediction is approximately 3.07%.
Therefore, the correct answer is O 3.07%.