Final Grade An instructor grades exams, \( 10 \% \); term paper, \( 20 \% \); and final exam, \( 70 \% \). A student had grades of 92,95 , and 99 , respectively, for exams, term paper, and final exam. Find the student's final average. Use the weighted mean. The student's final average is ,

To calculate the student's final average, we can use the weighted mean formula. The formula is: \[ \text{Final Average} = (w_1 \cdot g_1) + (w_2 \cdot g_2) + (w_3 \cdot g_3) \] Where \( w_1, w_2, w_3 \) are the weights (percentages) and \( g_1, g_2, g_3 \) are the grades. Plugging in the values: \[ = (0.10 \cdot 92) + (0.20 \cdot 95) + (0.70 \cdot 99) \] Calculating each component: \[ = 9.2 + 19 + 69.3 \] Adding these together gives: \[ = 97.5 \] So, the student's final average is 97.5.