In a particular class, exams are worth 50% of the overall grade, quizzes are worth 30% of the overall grade, homework is worth 15% of the overall grade, and class participation is worth 5% of the overall grade. A particular student has earned an average score of 87.9% on the exams, 77.8% on the quizzes, 90.0% on the homeworks, and 100.0% on class participation. What is this student's overall grade in the course?

The student's overall grade is 85.79%

Step-by-step explanation:

Given in the question that:

Exam = 50%; Quiz = 30%, Home work = 15% and Class participation = 5%

The total giving us 100%.

A particular student scored the following;

87.9% on exams, 77.8% quiz, 90% Home work and 100%  on class participation

Calculating the percentages the student had for each;

Exam total = 50*0.879 = 43.95% earned

Quiz = 30*0.778 = 23.34% earned

Home work = 15*0.9 = 13.5% earned

Class participation = 5*1 = 5% earned

Total earned = 43.95+ 23.34 + 13.5+ 5 = 85.79%

2^3

since 2^9 is 512 and 2^12 is 4096