Answer correctly and you will be the Brainliest.
Hector's math test grades for the final quarter are 89, 93, 100. 98, and 95. He has one more test to take this quarter. All tests count equally. What is the minimum grade Hector must make on the last test in order to obtain an average of at least 93? A: 78, B: 79, C:83, D:95.

83

Step-by-step explanation:

We need to first find the mean. To find the mean of any group of numbers, you simply add up all the numbers and then divide by how many numbers there are.

Using a calculator or a pencil, add the following:

89 + 93 + 100 + 98 + 95 = 475

The next step is to divide 475 by 5:

95

Since Hector's current average is a 95, this means that his next test can be lower than a 95, but by how much? To find what Hector can get on his next test, lets try to find the average of numbers between 80-90.

475 + 80 = 555  |  555 ÷ 6 = 92.5

475 + 81 = 556  |  556 ÷ 6 = 92.66

475 + 82 = 557  |  557 ÷ 6 = 92.8

ANSWER: 475 + 83 = 558  |  558 ÷ 6 = 93

a. is correct