Answer:
9.5%
Explanation:
Missing information :
In this question there is incorrect question .The correct question is
[tex]x\ =\frac{ab^{2} }{\sqrt{c} }[/tex]
Given :
[tex]x\ =\ \frac{ab^{2} }{\sqrt{c} }[/tex]
From the propagation of error property
[tex]$\Delta$x = $\Delta$a + 2$\Delta$b + 1$\Delta$c\\\ \ \ x = \ \ a + \ \ \ \ b + \ \ \ \ c \\[/tex]----------------------Eq(1)
Putting the respective value 4,2 and 3 in the Eq(1) we get
This gives
[tex]percentage \ error \ = 4\ +\ 2*2\ +\ \frac{3}{2}\\ percentage \ error \ = 4+4+\frac{3}{2} \\percentage \ error \ = 8+\frac{3}{2}\\ percentage \ error \ = 8+1.5\\percentage \ error \ = 9.5\\Therefore \ 9.5\%[/tex]
