A mean average of 60 on 6 exams is needed to pass a course. on his first 5 exams, Adam received grades of 46,73,73,63 and 70. If the lowest grade of the exams already taken is to be dropped, what grade must he receive on his last exam to get a C in the Course?
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If the lowest score, 46, is dropped, then the mean is determined only on the basis of 5 scores.
(73+73+63+70+x)/5 = 60
Calculate for x.
To calculate the grade Adam needs on his last exam to get a C in the course, we first need to find the average of the first five exams with the lowest grade dropped.
1. We add the grades of the first five exams: 46 + 73 + 73 + 63 + 70 = 325.
2. Next, we subtract the lowest grade (46) from the sum: 325 - 46 = 279.
3. Now we divide the sum (279) by 4 (since we dropped the lowest grade): 279 / 4 = 69.75.
So, Adam's average grade for the first five exams with the lowest grade dropped is 69.75.
Now, we need to calculate the minimum grade Adam needs on his last exam to achieve an average of 60 for all six exams.
4. We multiply the desired average (60) by the total number of exams (6): 60 x 6 = 360.
5. Lastly, we subtract the sum of the first five exams (279) from the desired total (360): 360 - 279 = 81.
Therefore, Adam needs to receive a grade of at least 81 on his last exam to get a C in the course.
To find out what grade Adam must receive on his last exam to get a C in the course, we need to first calculate the average of his first 5 exams after dropping the lowest grade.
1. Add up the grades of Adam's first 5 exams: 46 + 73 + 73 + 63 + 70 = 325.
2. Find the lowest grade among the first 5 exams. In this case, the lowest grade is 46.
3. Subtract the lowest grade from the total: 325 - 46 = 279.
4. Now, we need to find the average of the remaining 4 grades: 279 / 4 = 69.75.
So, Adam's average grade after dropping the lowest is 69.75.
Now, let's determine the grade he needs on his last exam to get a C in the course.
5. We know that the mean average needed to pass the course is 60.
6. Multiply the number of exams by the passing mean average: 6 x 60 = 360.
7. Subtract the sum of Adam's first 5 exams from the required total: 360 - 325 = 35.
Adam needs a total of 35 points on his last exam to get a C in the course.
Therefore, in order to pass the course with a C, Adam must receive at least 35 points on his last exam.