Question

a students course grade is based on one midterm that counts as 5% of his final grade, one class project that counts as 5% of his final grade, a set of homework assignments that counts as 30% of his final grade, and a final exam that counts as 60% of his final grade. his midterm score is 71, his project score is 82, his homework score is 82, and his final exam score is 71. what is his overall final score? what letter grade did he earn (a, b, c, d, or f)? assume that a mean of 90 or above is an a, a mean of at least 80 but less than 90 is a b, and so on. (type an integer or a decimal. do not round.)

Explanation:

Step1: Identify the weight - score pairs

The mid - term score of 71 has a weight of 5%, the project score of 82 has a weight of 30%, the homework score of 82 has a weight of 30%, and the final exam score of 71 has a weight of 60%.

Step2: Use the weighted - average formula

The weighted - average formula is $\sum_{i = 1}^{n}w_ix_i$, where $w_i$ is the weight and $x_i$ is the score.
\[

$$\begin{align*} \text{Overall score}&=(0.05\times71)+(0.3\times82)+(0.3\times82)+(0.6\times71)\\ &=3.55 + 24.6+24.6 + 42.6\\ &=95.35 \end{align*}$$

\]

Answer:

95.35