Paul has grades of 73 and 86 on his first two tests. What must he score on his third test in order to have an average of at least 70?
Mean = sum of scores/number of scores
70 = (73+86+x)/3
Solve for x.
53
I mean 51.
To find out what score Paul must get on his third test in order to have an average of at least 70, we need to use the formula for calculating averages. The average of all 3 tests should be equal to or greater than 70.
The average can be calculated by adding up all the scores and then dividing by the number of tests. In this case, we have 2 test scores and need to include the third test score as well.
Let's calculate Paul's average after his first two tests:
(73 + 86) = 159
So, Paul's average after the first two tests is 159.
Now, we need to find out what score Paul must achieve on his third test to have an overall average of at least 70. To do this, we can set up an equation:
(159 + x) / 3 ≥ 70
Here, x represents the score Paul needs to get on his third test.
Now let's solve the equation:
Multiply both sides of the equation by 3 to get rid of the fraction:
159 + x ≥ 210
Subtract 159 from both sides to isolate x:
x ≥ 210 - 159
x ≥ 51
Therefore, Paul must score at least 51 on his third test in order to have an average of at least 70.