Question

to calculate a weighted average, use the formula \\(\text{weighted average} = \frac{\sum xw}{\sum w}\\), where \\(w\\) is the weight of the piece of data, \\(x\\); \\(\sum xw\\) is the sum of the products of each piece of data multiplied by its weight; and \\(\sum w\\) is the sum of the weights.

suppose that your final grade for a course is determined by a midterm exam and a final exam. the midterm exam is worth 45% of your grade, and the final exam is worth 55%. if your midterm grade is 79 and your final exam grade is 99, calculate your final weighted average.

your final weighted average is \\(\square\\). (round to the nearest integer as needed.)

Explanation:

Identify given values and weights

$$
LATEXBLOCK0
$$

Calculate the weighted sum and sum of weights

$$
LATEXBLOCK1
$$

Compute the final weighted average

$$ \text{Weighted Average} = \frac{\sum xw}{\sum w} = \frac{90}{1.00} = 90 $$

Answer:

Your final weighted average is <blank>90</blank>. (Round to the nearest integer as needed.)