Answer and Explanation:
AI-generated answer
To find the upper and lower weight limit of a 92dg compound with a 5% tolerance range, we need to calculate the range of acceptable weights.
Step 1: Calculate the tolerance range by multiplying the weight of the compound by the tolerance percentage:
Tolerance Range = 5% * 92dg
Step 2: Subtract the tolerance range from the weight of the compound to find the lower weight limit:
Lower Weight Limit = 92dg - Tolerance Range
Step 3: Add the tolerance range to the weight of the compound to find the upper weight limit:
Upper Weight Limit = 92dg + Tolerance Range
Now, let's calculate the upper and lower weight limits:
Step 1: Calculate the tolerance range:
Tolerance Range = 5% * 92dg = 0.05 * 92dg = 4.6dg
Step 2: Calculate the lower weight limit:
Lower Weight Limit = 92dg - Tolerance Range = 92dg - 4.6dg = 87.4dg
Step 3: Calculate the upper weight limit:
Upper Weight Limit = 92dg + Tolerance Range = 92dg + 4.6dg = 96.6dg
Therefore, the upper weight limit of the 92dg compound with a 5% tolerance range is 96.6dg, and the lower weight limit is 87.4dg.