To pass a course you need an average score of 60 or more. If your scores are 66, 72, 90, 49, and 59, find the minimum score that you can get on the 6th and last exam to pass the course.
Mean = sum of scores/number of scores
60 = (66+72+90+49+59+x)/6
Solve for x.
Thank you, I got that but I don't know how to solve for x
To find the minimum score needed on the 6th and last exam to pass the course, we can start by calculating the cumulative score of the first five exams.
First, add up the scores: 66 + 72 + 90 + 49 + 59 = 336.
Next, calculate the average by dividing the cumulative score by the number of exams: 336 ÷ 5 = 67.2.
Since the average requirement to pass the course is 60 or more, we know that the cumulative score of the first five exams needs to be at least 300 (60 × 5 = 300).
To calculate the minimum score needed on the 6th and last exam, subtract the cumulative score of the first five exams from the minimum required cumulative score: 300 - 336 = -36.
So, to pass the course, you need to score at least -36 on the 6th and last exam. However, it is not possible to have a score below zero, so it is not possible to pass the course with the given scores.