A sample of the element ygfjygg m has a mass of 5.6 g +/- .1 g and a volume of 3.1 cm3 +/- .5 cm3. The true density of Lindeminium is 1.92 g/cm3.

----HOW TO CALCULATE RANDOM ERROR(18%)?---

To calculate the random error, you need to know the percent uncertainty associated with each measured quantity. The formula to calculate random error is:

Random Error = Value x (Percent Uncertainty / 100)

In your case, you have a mass measurement with a percent uncertainty of 18% and a volume measurement with a percent uncertainty of 16.13% (calculated as (0.5 cm3 / 3.1 cm3) x 100).

To calculate the random error for the mass measurement:
Random Error (mass) = 5.6 g x (18 / 100) = 1.01 g

To calculate the random error for the volume measurement:
Random Error (volume) = 3.1 cm3 x (16.13 / 100) = 0.501 cm3

Therefore, the random error for the mass measurement is 1.01 g and for the volume measurement, it is 0.501 cm3.