Question

The ideal length of a particular metal rod is 30.5 cm. The measured length may vary from the ideal length by at most 0.015cm. What is the range of acceptable lengths of the rod?

Answer 1

The acceptable length of the rod that has the standard length of 30.5 cm and can only from the ideal length by at most 0.015 cm is from 30.485 cm to 30.515 cm. This is computed by deducting and adding 0.015 cm to the standard length.

Answer 2

The range of the acceptable lengths of the rod is [29.485 30.515]

Explanation:

Given,

The ideal length of the metal rod = 30.5 cm,

Also, it can be vary by 0.015 cm,

So, the maximum length that is acceptable = 30.5 + 0.015 = 30.515 cm,

Also, the minimum length that is acceptable = 30.5 - 0.015 = 29.485 cm,

⇒ 29.485 cm ≤ Acceptable length ≤ 30.515 cm

Hence, the range of acceptable lengths would be,

[29.485 30.515]