steven received scores of 70, 95, and 80 on his last three math tests. he needs a mean test score of 80 to…

steven received scores of 70, 95, and 80 on his last three math tests. he needs a mean test score of 80 to qualify for the math team. how many points does he need on his last test to qualify for the team? steven needs total points to have a mean score of 80. steven has points so far. steven needs to score at least points on his last test to qualify for the team.

steven received scores of 70, 95, and 80 on his last three math tests. he needs a mean test score of 80 to qualify for the math team. how many points does he need on his last test to qualify for the team? steven needs total points to have a mean score of 80. steven has points so far. steven needs to score at least points on his last test to qualify for the team.

Answer

Explanation:

Step1: Calculate total points needed

The mean score of 4 tests should be 80. Using the formula for the mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$, where $n = 4$ and $\bar{x}=80$. So the total points needed is $80\times4=320$.

Step2: Calculate points so far

The scores of the first three tests are 70, 95, and 80. The sum of these scores is $70 + 95+80=245$.

Step3: Calculate score needed on last test

Let the score on the last test be $x$. We know that $245 + x=320$. Solving for $x$, we get $x=320 - 245=75$.

Answer:

Steven needs 320 total points to have a mean score of 80. Steven has 245 points so far. Steven needs to score at least 75 points on his last test to qualify for the team.