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)

Question

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

3.63%
3.63%

3.77%
3.77%

−4.00%
negative 4 point 0 0 percent

0.038%

Answer 1

To calculate the percent error, we need to find the difference between the predicted number of attendees and the actual number of attendees, divide it by the predicted number of attendees, and then multiply by 100 to express it as a percentage.

Predicted number of attendees: 275
Actual number of attendees: 265

Difference: 275 - 265 = 10

Percent error = (10/275) * 100 = 3.63%

So the correct answer is 3.63%.

Answer 2

To calculate the percent error, you can use the formula:

Percent Error = (|Observed Value - Predicted Value| / Predicted Value) * 100

In this case, the observed value is the number of people who committed to attending the wedding (265), and the predicted value is the number of invitations sent out (275).

Using the formula, the calculation is:

Percent Error = (|265 - 275| / 275) * 100

Percent Error = (10 / 275) * 100

Percent Error = 0.036363636 * 100

Percent Error = 3.63%

Therefore, the percent error in their prediction is 3.63%.

Answer 3

To calculate the percent error in Julian and Brittany's prediction, we first need to find the difference between their predicted number of attendees and the actual number of commitments.

Predicted number of attendees = 275
Actual number of commitments = 265

Now, we can calculate the difference:
Difference = Actual number of commitments - Predicted number of attendees
Difference = 265 - 275
Difference = -10

Note: The negative sign indicates that they predicted more attendees than actually committed.

To find the percent error, we need to divide the absolute value of the difference by the predicted number of attendees and multiply by 100.

Percent Error = (|Difference| / Predicted number of attendees) * 100
Percent Error = (|-10| / 275) * 100
Percent Error = (10 / 275) * 100
Percent Error = (0.03636...) * 100
Percent Error ≈ 3.63%

Therefore, the percent error in Julian and Brittany's prediction is approximately 3.63%.