Question

The attendance 40 basketball game was estimated to be 15,000 people for 12,500 people attended what was the percent error?

Answer 1

The percent error in the estimated attendance of the basketball game, where 15,000 was the estimate and 12,500 attended, is 20%.

Step-by-step explanation:

The question pertains to calculating percent error, which is a concept in mathematics used to measure the accuracy of an estimate. The formula for percent error is: Percent Error = (|Approximate Value - Exact Value| / Exact Value) x 100%. In this case, the approximate value (the estimate) is 15,000 people, and the exact value (the actual attendance) is 12,500 people.

To calculate the percent error of the basketball game attendance:

1. Subtract the exact value from the approximate value: 15,000 - 12,500 = 2,500.
2. Divide the difference by the exact value: 2,500 / 12,500 = 0.2.
3. Multiply by 100% to get the percent error: 0.2 x 100% = 20%.

Therefore, the percent error in the estimated attendance was 20%.

Answer 2

Percent error formula is used to calculate the precision of calculations. The formula is as follows:

`percent error=(\left | experimental value-theoretical value \right |)/(theoretical value)* 100`

Here, calculated value is experimental value and the known value or accepted value is theoretical value.

Here, the attendance was estimated to be 15,000 people, but the exact attendance is 12,500 people thus, 15,000 is theoretical value and 12,500 is experimental value. Percent error in attendance is calculated as follows:

`percent error=(\left | 12,500-15,000 \right |)/(15,000)* 100=16.66`

Thus, percent error is 16.66%.