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Answer: 20%
Step-by-step explanation:
Explanation is in progress of writing:
First, I will divide 60 by 75 and multiply by 100, to find what percent of 75 is 60:
= [tex]\frac{60}{75}[/tex] · 100
= 0.8 · 100
= 80%
The percentage error of the student's measurement is 25%.
Given the following data;
- Experimental value = 75 liters
- Real value = 60 liters
Percentage error can be defined as a measure of the extent to which an experimental value differs from the theoretical value.
Mathematically, percentage error is given by this expression;
[tex]Perecent \; error = \frac{Real \; value - Experimental \; value}{Real \; value} * 100[/tex]
Substituting the values into formula, we have;
[tex]Perecent \; error = \frac{60 - 75}{60} * 100[/tex]
[tex]Perecent \; error = \frac{-15}{60} * 100[/tex]
Note: The negative sign is neglected in percentage error.
[tex]Perecent \; error = \frac{1}{4} * 100[/tex]
Percent error = 25%
Therefore, the percent error is 25%.
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