Final answer:
The range for the length of tape on a roll that contains 150 yards with a possible variance of 2.5% is 146.25 yards to 153.75 yards.
Step-by-step explanation:
If each roll of tape should contain 150 yards but can vary by 2.5%, we need to calculate the minimum and maximum lengths possible on a roll. First, let's determine what 2.5% of 150 yards is:
2.5% of 150 yards = 0.025 × 150 yards = 3.75 yards
Now, we calculate the range by subtracting and adding this variation to the expected length of 150 yards:
- Minimum length: 150 yards - 3.75 yards = 146.25 yards
- Maximum length: 150 yards + 3.75 yards = 153.75 yards
Therefore, the range for the length of tape on a roll is 146.25 yards to 153.75 yards.