After the first 41 games of the
baseball season, the Red Sox have a winning
percentage of 0.585 and the Yankees have
0.512. How many games
behind the Red Sox are
the Yankees?
To determine how many games behind the Red Sox the Yankees are, we need to calculate the difference in winning percentages and apply it to the number of games played.
First, we find the difference in winning percentages:
Difference = Red Sox winning percentage - Yankees winning percentage
Difference = 0.585 - 0.512
Difference = 0.073
Next, we need to apply this difference to the number of games played by the Red Sox.
Games Behind = Difference in winning percentages * Number of games played by the Red Sox
Since 41 games have been played, we can calculate the number of games behind as follows:
Games Behind = 0.073 * 41
Games Behind = 2.993
Therefore, the Yankees are approximately 2.993 games behind the Red Sox after the first 41 games of the baseball season.