A student at Fort Hays State University earned grades 84, 78, 84, and 72 on her four regular tests. She earned a grade of 78 on the final exam and 86 on her class projects. Her combined homework grade was 87. The four regular tests count for 40% of the final grade, the final exam counts for 30%, the project counts for 10%, and the homework counts for 20%. What is her weighted mean grade? Round to one decimal place.

Answer:The weighted mean grade is 81.2%.Step-by-step explanation:Total marks earned by a student on her four regular tests is[tex]84+78+84+72=318[/tex]The average of these tests[tex]\frac{318}{4}=79.5[/tex]Grade in final test = 78Grade in class project = 86Grade in combined homework = 87Weightage of four regular tests = 40% = 0.4Weightage of final exam = 30% = 0.3Weightage of project= 10% = 0.1Weightage of home work = 20% = 0.2The sum of weightage = 0.4+0.3+0.1+0.2 = 1The formula for weighted mean is[tex]Mean=\frac{\sum x_iw_i}{\sum w_i}[/tex][tex]Mean=\frac{(79.5)(0.4)+(78)(0.3)+(86)(0.1)+(87)(0.2)}{1}[/tex][tex]Mean=81.2[/tex]Therefore the weighted mean grade is 81.2%.