A student made a mistake when measuring the volume of a big container. He found the volume to be 75 liters.However, the real value for the volume is 60 liters. What is the percent error?

Respuesta :

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%

Lanuel

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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