SOLUTION: On the first four exams, your grades are 76, 95, 56, and 77. There is still a final exam, and it counts as two grades. You are hoping to earn a C in the course. This will occur if
Algebra.Com
Question 1174361: On the first four exams, your grades are 76, 95, 56, and 77. There is still a final exam, and it counts as two grades. You are hoping to earn a C in the course. This will occur if the average of your six exam grades is greater than or equal to 70 and less than 80. What range of grades on the final exam will result in earning a C?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
average=total/n
70=total/6 or total=420
80=total/6 or total=480
want the total grades to be >=420 and <480
The four grades add to 304. Two grades must therefore add between 116 and 176, and since they are equal between 58 and 88
58<=grade<88. This is the answer,
Can check
58 is -24 (counts twice)
76 is +6
95 is +25
56 is -14
77 is +7
The difference is 0
-
for average 80
88 is +16 (counts twice)
76 -4
95 +15
56 -24
77 -3
The difference is 0
RELATED QUESTIONS
On the first four exams, your grades are 77, 96, 57, and 78. There is still a final exam, (answered by lynnlo)
on the first four exams, your grades are 82, 75, 80, and 92. there is still a final exam, (answered by stanbon)
On the first of four exams, your grades are 82, 75, 80, and 90. There is still a final... (answered by solver91311)
On the first four exams, your grades are 76, 96, 55, and 77. You ate hoping to earn a C... (answered by Alan3354)
a professor grades students on three test, four quizzes, and a final exam. Each test... (answered by alicealc)
on two exams you have the grades of 83 and 95. There is an optional final exam which... (answered by ewatrrr)
On the first four exams your grades are 77, 94, 59, and 78. you are hoping to earn a C in (answered by ewatrrr,lwsshak3)
The grades for a course are based on 5 exams and 1 final exam. All six of these tests are (answered by richwmiller)
On two examinations, you have grades of 89 and 83. there is an optional final... (answered by macston)