A student has a mean score of 89 on 5 tests. what will be the new mean if she scores a 95 on the next test?

(89+95)/6=X

It is as if she got 89 on 5 of the 6 tests!

(89*5 + x)/6

90

To find the new mean, you need to add up all the scores and then divide by the total number of tests. In this case, the student has taken 5 tests and has a mean score of 89.

To find the sum of the scores, you can simply multiply the mean score by the number of tests. So, the sum of the scores is 89 * 5 = 445.

Now, the student takes a sixth test and scores a 95. So, you need to add this score to the sum of the previous scores, resulting in 445 + 95 = 540.

Finally, you divide the sum of the scores by the total number of tests, which is 6 in this case. So, the new mean will be 540 / 6 = 90.

Therefore, the new mean score will be 90 if the student scores a 95 on the next test.