Suppose a football team's offense which passes 58% of the time (and rushes the rest), averages 6.9 yards per pass and 4.4 yards per rush. In a game with 65 offensive plays, how many yards would you expect them to gain
0.58 * 65 * 6.9 = 260 yards with passes
Do the same for the rushes.
To calculate the expected yards gained by the football team, we need to consider the percentage of passing and rushing plays, as well as the average yards gained per pass and rush.
Let's break down the calculations step-by-step:
1. Calculate the number of passing plays:
- Percentage of passing plays = 58%
- Number of passing plays = Percentage of passing plays * Total number of offensive plays
- Number of passing plays = 0.58 * 65 = 37.7 (rounded to 38)
2. Calculate the number of rushing plays:
- Number of rushing plays = Total number of offensive plays - Number of passing plays
- Number of rushing plays = 65 - 38 = 27
3. Calculate the total yards gained from passing plays:
- Total yards gained from passing plays = Number of passing plays * Average yards per pass
- Total yards gained from passing plays = 38 * 6.9 = 262.2 (rounded to 262)
4. Calculate the total yards gained from rushing plays:
- Total yards gained from rushing plays = Number of rushing plays * Average yards per rush
- Total yards gained from rushing plays = 27 * 4.4 = 118.8 (rounded to 119)
5. Calculate the expected total yards gained:
- Expected total yards gained = Total yards gained from passing plays + Total yards gained from rushing plays
- Expected total yards gained = 262 + 119 = 381
Therefore, you would expect the football team to gain approximately 381 yards in the game.