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 ->  College  -> Linear Algebra -> 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       Log On


   



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) About Me  (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