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Waleria's Measurement

Actual Length
G C
5m

Sasha's Measurement
Actual Length
96 cm
100 cm

Because Waleria's ribbon is ___% error than Sasha's ribbon, each centimeter of error in measurement results in a ___% error. Even though Waleria was ___ cm off and Sasha was ___ cm off, Waleria was ___% off, and Sasha was only ___% off.

1 Answer

4 votes

Final answer:

Waleria's ribbon has 1.92% error compared to Sasha's ribbon. Each centimeter of error in measurement results in a 4.17% error. Waleria was 4cm off and had a 1.92% error, while Sasha was 0cm off and had a 0% error.

Step-by-step explanation:

To calculate the percent error, we need to compare the actual length with the measured length and find the difference as a percentage of the actual length.

In this case, Waleria's actual length is 5m, and Sasha's actual length is 100cm. The measured lengths are 96cm for Waleria and 100cm for Sasha.

So, the percent error for Waleria is (|actual length - measured length| / actual length) * 100 = (|5m - 96cm| / 5m) * 100 = 1.92%.

The percent error for Sasha is (|actual length - measured length| / actual length) * 100 = (|100cm - 100cm| / 100cm) * 100 = 0%.

If each centimeter of error in measurement results in a percentage error, then we can calculate it as (|error| / actual length) * 100. The result will be the same for both Waleria and Sasha as their measured lengths are off by 4cm.

So, the percentage error for each centimeter of error is (|4cm| / 96cm) * 100 = 4.17%.

Even though Waleria was 4cm off and Sasha was 0cm off, we can calculate the percent error for each.

Waleria's percent error is (|actual length - measured length| / actual length) * 100 = (|5m - 96cm| / 5m) * 100 = 1.92%.

Sasha's percent error is (|actual length - measured length| / actual length) * 100 = (|100cm - 100cm| / 100cm) * 100 = 0%.

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