For the given table:
We will find the necessary score on the final exam for a student to earn an A (90%) in the class.
so,
The equation will be:
![92\cdot(0.2)+95\cdot(0.3)+88\cdot(0.2)+x\cdot(0.3)=90](https://img.qammunity.org/2023/formulas/mathematics/college/dj8jn6su88ab56zbxkd3s7rwzx7nsmklhz.png)
now, solve the equation to find x:
![\begin{gathered} 64.5+0.3x=90 \\ 0.3x=90-64.5 \\ 0.3x=25.5 \\ x=(25.5)/(0.3) \\ \\ x=85 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/vda0bnuoj9xlzd1rqeie1bvsqq9gh2wtvf.png)
So, the answer will be:
The student needs a score of 85% on the final exam to earn a 90%