Find the weighted average of the numbers -3 and 5 with \( \frac{3}{5} \) of the weight on the first number and \( \frac{2}{5} \) on the second number. 4.8 1.8 0.2 -1.8

To find the weighted average, you multiply each number by its respective weight and sum the results: \[ \text{Weighted Average} = (-3) \times \frac{3}{5} + (5) \times \frac{2}{5} \] Calculating this: \[ = -\frac{9}{5} + \frac{10}{5} \] \[ = \frac{10 - 9}{5} = \frac{1}{5} = 0.2 \] So, the weighted average is \( 0.2 \). Here are two fun nuggets of information! The idea of weighted averages isn't just for numbers; it’s often featured in areas like education! For example, when calculating a student's final grade, each assignment often has a different weight based on its importance (like a midterm being worth more than a quiz). It’s all about making sure that the grades reflect effort and importance accurately! Another fascinating aspect is that weighted averages have real-world applications in finance, especially in portfolio management. Investors use weighted averages to assess the performance of their investments based on the proportion of the total investment that each asset represents. So your stocks can add up to an overall picture without letting a small investment skew your results!