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In chemistry class, Bob recorded the volume of a liquid as 13.2 mL. The actual volume was 13.7 mL. Use the formula to find percent error of Bob's measurements to the nearest tenth of a percent.


Percent error= |experimental value - actual value|

______________________________________ x 100%

Actual value

Verified Answer :

Patronus1619

experimental value=13.2mL
actual volume=13.7mL

|13.2-13.7|=|-0.5|=0.5
0.5/13.7 *100%=3.7%

Answer:

The percent error to the nearest tenth is:

                              3.6%

Step-by-step explanation:

In chemistry class, Bob recorded the volume of a liquid as 13.2 mL. The actual volume was 13.7 mL.

The percent error formula is given by:

\(Percent\ error=\dfrac{|experimental\ value-Actual\ value|}{Actual\ value}\times 100\)

Here we have:

\(experimental\ value=13.2\ mL\)

\(Actual\ value=13.7\ mL\)

Hence,

\(Percent\ Error=\dfrac{|13.2-13.7|}{13.7}\times 100\\\\i.e.\\\\Percent\ Error=\dfrac{|-0.5|}{13.7}\times 100\\\\i.e.\\\\Percent\ Error=\dfrac{0.5}{13.7}\times 100\\\\i.e.\\\\Percent\ Error=3.649\%\)

which to the nearest tenth is:

\(Percent\ Error=3.6\%\)

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