Question

Question #cb744

Answer 1

`"Percentage Error" = 0.2`

Explanation:

Using Percentage Error Formula..

`"Percentage Error" = ("Actual value" color(white)x - color(white)x "Error")/"Actual value"`

`"Actual value" = 0.5`

`"Error" = 0.4`

`"Percentage Error" = (0.5 - 0.4)/0.5`

`"Percentage Error" = 0.1/0.5`

`"Percentage Error" = 0.2`

Answer 2

`%ρ = 0.9%`

Explanation:

I think that the question means the percentage error (or uncertainty) in mass is 0.5 % and the percentage error in volume is 0.4 %

In that case we apply the uncertainty rules for determining the percentage error in density. The equation for density is:
`ρ =m/V`

The second rule for calculating uncertainty applies here, the percentage uncertainty of divided quantities is the sum of the individual percentage uncertainties. That means:
`%ρ = %m +%V = 0.5% + 0.4% = 0.9%`