This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Answer
0.5 ml
Here's the solution for the first question:
Given the capacity of a bottle of mineral water is millilitres.
a) Find the tolerance.
Step 1: Identify the tolerance from the given capacity. The tolerance is the maximum allowable deviation from the specified value. In the expression millilitres, the tolerance is the value. The tolerance is millilitres.
b) Find the percentage error.
Step 2: Identify the absolute error and the nominal value. The absolute error is the tolerance, which is ml. The nominal (or measured) value is ml.
Step 3: Calculate the percentage error using the formula: The percentage error is .
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Here's the solution for the first question: Given the capacity of a bottle of mineral water is 500 ± 0.5 millilitres.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.