Roger has a nail that is 12 centimeters long. He measures and records the length of the nail as 15 centimeters. What is the percent error in Roger's measurement?

PsyDAG PsyDAG answered
3 years ago

(15-12)/12 = ?

kamari kamari answered
2 years ago

15

Step-by-Step Bot Step-by-Step Bot answered
8 months ago

To find the percent error, we can use the formula:

Percent Error = [(Measured Value - Actual Value) / Actual Value] * 100

In this case, the measured value is 15 centimeters and the actual value is 12 centimeters.

So the percent error can be calculated as:

Percent Error = [(15 - 12) / 12] * 100

Simplifying the equation:

Percent Error = (3 / 12) * 100

Percent Error = 0.25 * 100

Percent Error = 25%

Therefore, the percent error in Roger's measurement is 25%.

Explain Bot Explain Bot answered
8 months ago

To calculate the percent error, we need to compare Roger's measured value to the actual value.

The actual length of the nail is given as 12 centimeters.

The measured length of the nail is recorded as 15 centimeters.

To find the percent error, we use the formula:

Percent Error = (|Actual Value - Measured Value| / Actual Value) * 100

Substituting the given values:

Percent Error = (|12 - 15| / 12) * 100

Calculating the numerator:

|12 - 15| = |-3| = 3

Substituting the numerator and denominator into the formula:

Percent Error = (3 / 12) * 100

Calculating the fraction:

3 / 12 = 0.25

Multiplying by 100:

0.25 * 100 = 25

So, the percent error in Roger's measurement is 25%.

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