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Below is Tim’s record for kicking field goals in his team’s last five games.Games Played Points Scored1 92 63 04 95 3How many three-point field goals would Tim have to kick in the next game to bring his average (arithmetic mean) to six points per game?

Question

Below is Tim’s record for kicking field goals in his team’s last five games.Games Played Points Scored1 92 63 04 95 3How many three-point field goals would Tim have to kick in the next game to bring his average (arithmetic mean) to six points per game?

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Solution

To solve this problem, we first need to find out how many points Tim has scored in total over the five games.

From the table, we can see that Tim scored: 9 points in the first game, 6 points in the second game, 0 points in the third game, 9 points in the fourth game, 3 points in the fifth game.

So, the total points scored by Tim = 9 + 6 + 0 + 9 + 3 = 27 points.

Now, we want his average score to be 6 points per game over six games. The total points he would need to score to achieve this average is 6 points/game * 6 games = 36 points.

So, to find out how many three-point field goals Tim needs to score in the next game, we subtract the total points he has already scored from the total points he needs to score: 36 points - 27 points = 9 points.

Since each field goal is worth three points, Tim needs to score 9 points / 3 points/field goal = 3 field goals in the next game to bring his average to six points per game.

This problem has been solved

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