Final answer:
The length of 4.29 cm is significantly different from the required measurement of 4.00 cm with an acceptable error of +/- 0.03 cm since it falls outside the acceptable tolerance range.
Step-by-step explanation:
If the width of a machine part should be 4.00 cm with an acceptable error of +/- 0.03 cm, then the ranges of acceptable measurements are from 3.97 cm to 4.03 cm. Anything outside this range is significantly different. Considering the given choices:
- a. 4.04 cm
- b. 3.98 cm
- c. 4.29 cm
Lengths 4.04 cm and 3.98 cm are within the error boundaries or very close, with 3.98 cm actually being within the acceptable range. However, the length of 4.29 cm is significantly outside the allowed tolerance. Thus, the correct answer would be c. 4.29 cm as it falls outside the given error margin.