Solved on Mar 02, 2024

Audrey predicts she will make 15 free throws before missing one, but makes 20. What is the percent error in her prediction?
$\text{Percent Error} = \frac{|\text{Actual} - \text{Predicted}|}{\text{Predicted}} \times 100$

STEP 1

Assumptions
1. Audrey predicts she will make 15 free throws before missing.
2. Audrey actually makes 20 free throws before missing.

STEP 2

To find the percent error, we first need to calculate the absolute error, which is the difference between the predicted value and the actual value.
$Absolute\, error = |Actual\, value - Predicted\, value|$

STEP 3

Now, plug in the given values for the actual value and the predicted value to calculate the absolute error.
$Absolute\, error = |20 - 15|$

STEP 4

Calculate the absolute error.
$Absolute\, error = |20 - 15| = |5| = 5$

STEP 5

Next, we need to calculate the percent error, which is the absolute error divided by the actual value, then multiplied by 100 to convert it to a percentage.
$Percent\, error = \left(\frac{Absolute\, error}{Actual\, value}\right) \times 100\%$

STEP 6

Plug in the values for the absolute error and the actual value to calculate the percent error.
$Percent\, error = \left(\frac{5}{20}\right) \times 100\%$

STEP 7

Calculate the percent error.
$Percent\, error = \left(\frac{5}{20}\right) \times 100\% = \left(\frac{1}{4}\right) \times 100\% = 25\%$
The percent error for Audrey's prediction is 25%.

Was this helpful?

Audrey predicts she will make 15 free throws before missing one, but makes 20. What is the percent error in her prediction?
$\text{Percent Error} = \frac{|\text{Actual} - \text{Predicted}|}{\text{Predicted}} \times 100$

STEP 1

Assumptions
1. Audrey predicts she will make 15 free throws before missing.
2. Audrey actually makes 20 free throws before missing.

STEP 2

To find the percent error, we first need to calculate the absolute error, which is the difference between the predicted value and the actual value.
$Absolute\, error = |Actual\, value - Predicted\, value|$

STEP 3

Now, plug in the given values for the actual value and the predicted value to calculate the absolute error.
$Absolute\, error = |20 - 15|$

STEP 4

Calculate the absolute error.
$Absolute\, error = |20 - 15| = |5| = 5$

STEP 5

Next, we need to calculate the percent error, which is the absolute error divided by the actual value, then multiplied by 100 to convert it to a percentage.
$Percent\, error = \left(\frac{Absolute\, error}{Actual\, value}\right) \times 100\%$

STEP 6

Plug in the values for the absolute error and the actual value to calculate the percent error.
$Percent\, error = \left(\frac{5}{20}\right) \times 100\%$

STEP 7

Calculate the percent error.
$Percent\, error = \left(\frac{5}{20}\right) \times 100\% = \left(\frac{1}{4}\right) \times 100\% = 25\%$
The percent error for Audrey's prediction is 25%.

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

STEP 1

Assumptions1. Audrey predicts she will make 15 free throws before missing.2. Audrey actually makes 20 free throws before missing.

STEP 2

STEP 3

Now, plug in the given values for the actual value and the predicted value to calculate the absolute error.Absolute error=∣20−15∣Absolute\, error = |20 - 15|Absoluteerror=∣20−15∣

STEP 4

Calculate the absolute error.Absolute error=∣20−15∣=∣5∣=5Absolute\, error = |20 - 15| = |5| = 5Absoluteerror=∣20−15∣=∣5∣=5

STEP 5

STEP 6

Plug in the values for the absolute error and the actual value to calculate the percent error.Percent error=(520)×100%Percent\, error = \left(\frac{5}{20}\right) \times 100\%Percenterror=(205​)×100%

STEP 7

Calculate the percent error.Percent error=(520)×100%=(14)×100%=25%Percent\, error = \left(\frac{5}{20}\right) \times 100\% = \left(\frac{1}{4}\right) \times 100\% = 25\%Percenterror=(205​)×100%=(41​)×100%=25%The percent error for Audrey's prediction is 25%.

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Assumptions
1. Audrey predicts she will make 15 free throws before missing.
2. Audrey actually makes 20 free throws before missing.

Now, plug in the given values for the actual value and the predicted value to calculate the absolute error.
$Absolute\, error = |20 - 15|$

Calculate the absolute error.
$Absolute\, error = |20 - 15| = |5| = 5$

Plug in the values for the absolute error and the actual value to calculate the percent error.
$Percent\, error = \left(\frac{5}{20}\right) \times 100\%$

Calculate the percent error.
$Percent\, error = \left(\frac{5}{20}\right) \times 100\% = \left(\frac{1}{4}\right) \times 100\% = 25\%$
The percent error for Audrey's prediction is 25%.