A student has a container with a volume of 0.5 liter. He estimates the volume to be 0.4 liter. By what percent is the student's estimate off? The student's estimate is off by %.

Respuesta :

To find what percent is the student's estimate off you use the next formula:

[tex]\frac{\lvert e-v\rvert}{v}\cdot100[/tex]

e is the estimate volume

v is the real volume of the container

[tex]\begin{gathered} \frac{\lvert0.4-0.5\rvert}{0.5}\cdot100 \\ \\ \frac{\lvert-0.1\rvert}{0.5}\cdot100 \end{gathered}[/tex]

The absolute value of a negative number is:

[tex]\lvert-a\rvert=a[/tex]

Then:

[tex]\frac{0.1}{0.5}\cdot100=20[/tex]Then, The student's estimate is off by 20%.​