A student needed to get a final grade of 90 to get a grade of A for the semester. He scored 83, 85, 92, 86, and 87. If the last two scores would be counted as one score. What is the least grade the student would need to get to get a final grade of A?

Is the answer 45?

Assume that 90 is the mean.

mean = ∑x/n = (83+85+92+86+87+x)/5 = ?

n = 5, because "the last two scores would be counted as one score."

Solve for x.

Thank you

No, the answer is not 45. To determine the student's least grade needed to get a final grade of A, we need to calculate the average of all the scores. Here's how you can find the answer:

1. Add up all the scores: 83 + 85 + 92 + 86 + 87 = 433

2. As the last two scores will be counted as one score, we need to subtract them from the total: 433 - (86 + 87) = 433 - 173 = 260

3. Divide the total by the number of scores (including the last two scores counted as one): 260 / 4 = 65

4. The current average of the student's scores is 65. To get a final grade of 90 (an A), we need to find out what the next score needs to be.

5. Multiply the desired average (90) by the total number of scores (including the last two counted as one): 90 * 5 = 450

6. To find the least grade the student would need to get, subtract the sum of the current scores from the required total: 450 - 433 = 17

Therefore, the student would need to score at least 17 points on the final assessment to get a grade of A for the semester.