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.
Percent error is calculated by taking the absolute difference between the estimated value and the actual value, dividing it by the absolute value of the actual value, and then multiplying by 100%.
The actual value is 81,500 and the estimated value is 79,000.
Absolute difference = |79,000 - 81,500| = |-2,500| = 2,500
Absolute value of actual value = |81,500| = 81,500
Percent error = (2,500/81,500) * 100% = 3.07%
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 value and her predicted value, and then express that difference as a percentage of the actual value.
Actual value = 81,500
Predicted value = 79,000
Difference = Actual value - Predicted value
Difference = 81,500 - 79,000
Difference = 2,500
Percent error = (Difference / Actual value) * 100
Percent error = (2,500 / 81,500) * 100
Percent error ≈ 3.07%
Therefore, Layla's prediction has a percent error of approximately 3.07%.
To find the percent error of Layla's prediction, we need to compare her predicted value (79,000) with the actual value (81,500).
The formula to calculate percent error is:
Percent Error = ( |Actual Value - Predicted Value| / Actual Value ) * 100
Let's substitute the given values into the formula:
Percent Error = ( |81,500 - 79,000| / 81,500 ) * 100
Now we can calculate the numerator of the fraction:
|81,500 - 79,000| = |2,500| = 2,500
Substituting this value back into the formula:
Percent Error = ( 2,500 / 81,500 ) * 100
Dividing 2,500 by 81,500:
Percent Error = 0.0306 * 100
Multiplying 0.0306 by 100:
Percent Error = 3.06
Therefore, Layla's prediction has a percent error of 3.06%.