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Vsevolod
3 months ago
14

Find the range of allowable values based on a measure of 130 inches if the values can vary by 1.4%.

Mathematics
1 answer:
AnnZ [12.3K]3 months ago
6 0

Answer:

130 ± 1.82 inches, meaning the values range from 128.18 inches to 131.82 inches.

Step-by-step explanation:

The range indicates the values lie between the minimum and maximum figures.

Given that the values may vary by 1.4%, the range can be calculated as:

1.4% of 130 = \frac{1.4}{100} x 130

                    = 0.014 x 130

                    = 1.82

This denotes that by adding or subtracting 1.82 from 130 inches, we obtain the desired range.

Thus,

130 - 1.82 = 128.18 inches

130 + 1.82 = 131.82 inches

The values indeed lie between 128.18 inches and 131.82 inches.

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