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.
Options:
0.038%
3.77%
-4.00%
3.63%
To calculate the percent error, you need to find the difference between the predicted number of attendees and the actual number of attendees, and then divide that difference by the predicted number of attendees. Finally, multiply the result by 100 to get the percentage.
Predicted attendees: 275
Actual attendees: 265
Difference: 275 - 265 = 10
Percent error = (10/275) x 100
Percent error = 0.03636363636363636 x 100
Percent error ≈ 3.63%
Therefore, the percent error in their prediction is approximately 3.63%.
The option that best matches this answer is "3.63%".
To calculate the percent error, we first need to find the difference between the predicted and actual number of attendees.
Predicted attendees: 275
Actual attendees: 265
Difference = Predicted attendees - Actual attendees
Difference = 275 - 265
Difference = 10
Now, we can calculate the percent error using the formula:
Percent Error = (Difference / Predicted attendees) * 100
Percent Error = (10 / 275) * 100
Percent Error = 0.036363636 * 100
Percent Error = 3.64%
Rounded to the nearest hundredth percent, the percent error is 3.64%.
Therefore, the correct option is:
3.63%
To calculate the percent error, we need to find the difference between the predicted value and the actual value, divide it by the actual value, and then multiply by 100.
Step 1: Find the difference between the predicted value and the actual value:
Predicted value = 275
Actual value = 265
Difference = Predicted value - Actual value = 275 - 265 = 10
Step 2: Divide the difference by the actual value:
Percentage difference = Difference / Actual value = 10 / 265
Step 3: Multiply the percentage difference by 100 to find the percent error:
Percent error = (Percentage difference) * 100
Calculating the percent error:
Percent error = (10 / 265) * 100 ≈ 3.77%
So, the correct answer is 3.77%.