section 3.3 homework\nscore: 5/8 answered: 7/8\nquestion 8\nin your history class, your final grade is based…

section 3.3 homework\nscore: 5/8 answered: 7/8\nquestion 8\nin your history class, your final grade is based on four categories. the categories are tests, labs, assignments, and a final exam. suppose you earned the following grades in each of the categories; 77% on tests, 56% on labs, 42% on assignments, and 84% on the final exam. if tests are worth 15%, labs are worth 7%, assignments are worth 7%, and the final exam is worth 71%, determine your final grade in the course. record the grade below as a percentage accurate to two decimal places.\nfinal grade: %

section 3.3 homework\nscore: 5/8 answered: 7/8\nquestion 8\nin your history class, your final grade is based on four categories. the categories are tests, labs, assignments, and a final exam. suppose you earned the following grades in each of the categories; 77% on tests, 56% on labs, 42% on assignments, and 84% on the final exam. if tests are worth 15%, labs are worth 7%, assignments are worth 7%, and the final exam is worth 71%, determine your final grade in the course. record the grade below as a percentage accurate to two decimal places.\nfinal grade: %

Answer

Explanation:

Step1: Calculate the weighted - score for tests

Multiply test grade by its weight: $77%\times15% = 0.77\times0.15=0.1155$

Step2: Calculate the weighted - score for labs

Multiply lab grade by its weight: $56%\times7%=0.56\times0.07 = 0.0392$

Step3: Calculate the weighted - score for assignments

Multiply assignment grade by its weight: $42%\times7%=0.42\times0.07=0.0294$

Step4: Calculate the weighted - score for the final exam

Multiply final - exam grade by its weight: $84%\times71%=0.84\times0.71 = 0.5964$

Step5: Calculate the final grade

Sum up all weighted - scores: $0.1155 + 0.0392+0.0294 + 0.5964=0.7805$

Answer:

$78.05%$