To calculate a weighted average, use the formula [tex]\text{weighted average} = \frac{\sum xw}{\sum w}[/tex], where:
- [tex]w[/tex] is the weight of the piece of data,
- [tex]x[/tex] is the value of the piece of data,
- [tex]\sum xw[/tex] is the sum of the products of each piece of data multiplied by its weight,
- [tex]\sum w[/tex] 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 [tex]40\%[/tex] of your grade, and the final exam is worth [tex]60\%[/tex]. If your midterm grade is [tex]83[/tex] and your final exam grade is [tex]73[/tex], calculate your final weighted average.
Your final weighted average is [tex]\boxed{\phantom{0}}[/tex] (Round to the nearest integer as needed).