6 of 6
For a package to be sealed and shipped, its weight must be within 2.875% of 250 pounds. Which weights fall within this acceptable range? Select ALL that apply.
To determine the weights that fall within the acceptable range, we need to find the lower and upper limits of the range.
Lower limit = 250 - (2.875% of 250)
= 250 - (2.875/100 * 250)
= 250 - 7.1875
= 242.8125 pounds
Upper limit = 250 + (2.875% of 250)
= 250 + (2.875/100 * 250)
= 250 + 7.1875
= 257.1875 pounds
Therefore, any weight between 242.8125 pounds and 257.1875 pounds (inclusive) falls within the acceptable range.
To find the acceptable range of weights, we need to calculate 2.875% of 250 pounds first.
Step 1: Convert the percentage to decimal form: 2.875% = 2.875/100 = 0.02875.
Step 2: Multiply 0.02875 by 250 pounds: 0.02875 * 250 = 7.1875 pounds.
Step 3: Find the acceptable range by subtracting and adding this value to the target weight of 250 pounds: 250 - 7.1875 = 242.8125 and 250 + 7.1875 = 257.1875.
Therefore, any weight within the range of 242.8125 pounds to 257.1875 pounds is acceptable.
To find the acceptable range within 2.875% of 250 pounds, you can use the following steps:
Step 1: Calculate 2.875% of 250 pounds:
2.875/100 x 250 = 7.1875 pounds
Step 2: Subtract and add the result from step 1 to the 250 pounds:
250 - 7.1875 = 242.8125 pounds
250 + 7.1875 = 257.1875 pounds
Therefore, any weight between 242.8125 pounds and 257.1875 pounds (inclusive) falls within the acceptable range.