The weighted average is given by
[tex]WA=\sum x_i\cdot w_i[/tex]The sum of each value is multiplied by its weight.
[tex]\begin{gathered} WA=(80\cdot0.30)+(92\cdot0.30)+(76\cdot0.10)+(90\cdot0.10)+(75\cdot0.20) \\ WA=24+27.6+7.6+9+15_{} \\ WA=83.2\% \end{gathered}[/tex]Therefore, the weighted average of student's grades is 83.2%