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
0.0307%
0.0307%
−3.07%
negative 3.07 percent
90.3067%
90.3067%
3.07%
To find the percent error, we need to find the difference between Layla's prediction and the actual number of seats occupied and express it as a percentage of the actual number of seats occupied.
Actual number of seats occupied: 81,500
Layla's prediction: 79,000
Difference: 81500 - 79000 = 2500
Percent error = (Difference / Actual number of seats occupied) * 100
= (2500 / 81500) * 100
Rounding to the nearest hundredth of a percent = 3.07%
So Layla's percent error is 3.07%. Therefore, the correct answer is 3.07%
Aatikah plans to buy books at a book fair. She thinks she will need $30.00 to purchase the books. She only spends $19.75. Find the percent error in her prediction. Round your answer to the nearest whole number.(1 point)
Responses
58%
58%
1%
1%
2%
2%
52%
To find the percent error, we need to find the difference between Aatikah's prediction and the actual amount she spent and express it as a percentage of the actual amount she spent.
Prediction: $30.00
Actual amount spent: $19.75
Difference: 30.00 - 19.75 = $10.25
Percent error = (Difference / Actual amount spent) * 100
= (10.25 / 19.75) * 100
Rounding to the nearest whole number = 52
So Aatikah's percent error in her prediction is 52%. Therefore, the correct answer is 52%.
Julian and Brittany mailed 275 wedding invitations to family and friends and predicted that they would all attend. Only 265 out of 275 people committed to attending the wedding. Calculate the percent error in their prediction. Round your answer to the nearest hundredth percent.(1 point)
Responses
3.77%
3.77%
0.038%
0.038%
−4.00%
negative 4 point 0 0 percent
3.63%
To find the percent error, we need to find the difference between Julian and Brittany's prediction and the actual number of people who committed to attending the wedding and express it as a percentage of the actual number of people who committed.
Prediction: 275 people
Actual number of commitments: 265 people
Difference: 275 - 265 = 10
Percent error = (Difference / Actual number of commitments) * 100
= (10 / 265) * 100
Rounding to the nearest hundredth percent = 3.77%
So their percent error in their prediction is 3.77%. Therefore, the correct answer is 3.77%.
To find the percent error, we need to compare Layla's prediction of 79,000 occupied seats to the actual number of occupied seats, which is 81,500.
The formula for percent error is: (|measured value - actual value| / actual value) x 100%
Using this formula, we can calculate the percent error of Layla's prediction:
(|79,000 - 81,500| / 81,500) x 100%
(2,500 / 81,500) x 100%
0.0307 x 100%
3.07%
Therefore, the percent error of Layla's prediction is 3.07%.
To find the percent error of Layla's prediction, we need to compare her predicted number of occupied seats to the actual number of occupied seats and calculate the difference as a percentage of the actual number.
Layla predicted that there would be 79,000 occupied seats, but the actual number of occupied seats is 81,500.
First, we need to calculate the difference between the predicted and actual values:
81,500 - 79,000 = 2,500
Next, we need to determine the percent error by dividing the difference by the actual value and multiplying by 100:
(2,500 / 81,500) * 100 ≈ 3.07%
Therefore, the percent error of Layla's prediction is 3.07%.