Question

A company makes a part that is designed to be 1000 mm long, plus or minus 1%, Which of these lengths would be acceptable? (Select all that apply)

(A) 1100 mm
(B) 1099 mm
(C) 9998 mm
(D) 1020 mm
(E) 998 mm
(F) 1009 mm

Answer 1

The acceptable lengths for the part are 998 mm and 1009 mm, as they fall within the 1000 mm ± 1% tolerance range (990 mm to 1010 mm). Lengths (A), (B), (C), and (D) do not meet the tolerance criteria.

Step-by-step explanation:

The company has specified that the part needs to be 1000 mm long with a tolerance of plus or minus 1%. To find out which lengths are acceptable, we need to calculate the upper and lower limits of this tolerance range. One percent of 1000 mm is 10 mm, so the acceptable range is from 990 mm (1000 mm - 10 mm) to 1010 mm (1000 mm + 10 mm).

The acceptable lengths from the provided options are therefore:

• (E) 998 mm
• (F) 1009 mm

Likewise, lengths (A) 1100 mm, (B) 1099 mm, (C) 9998 mm, and (D) 1020 mm do not fall within the prescribed tolerance and are thus unacceptable.