Final answer:
The height of the machine part can vary between 13.43 millimeters and 13.57 millimeters.
Step-by-step explanation:
In this question, we are given the height of a machine part as 13.5 millimeters, and the manufacturing tolerance is within 0.07 millimeters. To complete the statements, we need to determine the range within which the machine part's height can vary.
To find the range, we can subtract the tolerance from the height and add the tolerance to the height. Therefore, the machine part's height can vary between 13.5 - 0.07 = 13.43 millimeters and 13.5 + 0.07 = 13.57 millimeters.