Question

Naomi has taken six science tests so far this year. The tests are out of 100 points, and she has gotten the following scores.

64, 88, 92, 86, 81, 92

What must Naomi score on her seventh test in order to raise her mean to an 85?
88
92
85
95

Answer 1

Naomi needs to score a 92 on her seventh test to raise her mean to an 85.

Explanation:

Let's call the score Naomi needs to get on her seventh test "x".

To find out what score she needs to raise her mean to 85, we can set up an equation:

(64 + 88 + 92 + 86 + 81 + 92 + x) / 7 = 85

We add up all her scores so far (64 + 88 + 92 + 86 + 81 + 92) and add the score she needs to get on her seventh test (x). We divide the sum by the total number of tests (7) to get the mean score of 85.

Simplifying the equation, we get:

503 + x = 595

Subtracting 503 from both sides, we get:

x = 92

Answer 2

Answer:92

Explanation:

`(64+88+92+89+81+92+x)/(7) =85`

85 x 7 = 595

595 - 64 - 88 - 92 - 89 - 81 - 92 = 92