https://file.aiquickdraw.com/mathbot/file/1728171203512zshkth9j.jpg

To solve the problem in your image, which asks for the percent error in Doug's estimate, we can follow this formula:

\[
\text{Percent Error} = \frac{|\text{Estimated Value} - \text{Actual Value}|}{\text{Actual Value}} \times 100
\]

Here:
- Doug's estimated number of wins = 7
- The actual number of wins = 10

Let's calculate the percent error step-by-step:

1. First, find the absolute difference between the estimate and the actual value:
   \[
   |7 - 10| = 3
   \]

2. Next, divide this difference by the actual value (10):
   \[
   \frac{3}{10} = 0.3
   \]

3. Finally, multiply by 100 to get the percentage:
   \[
   0.3 \times 100 = 30\%
   \]

So, the percent error in Doug's estimate is **30%**.

Do you have any questions, or would you like more details on this calculation?

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Here are 5 related questions:
1. How does the percent error change if Doug estimated 8 wins instead of 7?
2. What is the formula for calculating percent error in general?
3. How can percent error be applied to other real-life estimations or measurements?
4. If Doug's estimate was closer to 10, would the percent error increase or decrease?
5. What does a large percent error indicate about an estimate's accuracy?

**Tip**: Percent error is always calculated as a positive value since it reflects the magnitude of the error, regardless of whether the estimate is higher or lower than the actual value.

Doug estimates that his soccer team will win 7 games this year. The team actually wins 10 games. What is the percent error of Doug's estimate? Round the percent to the nearest tenth if necessary.

Learn how to calculate the percent error in Doug's soccer team estimate using the formula for percent error. Doug estimated 7 wins, but the team won 10 games. This detailed solution covers finding the absolute error, dividing by the actual value, and converting it into a percentage. Suitable for students in Grades 6-8.

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