Questions: PITTSBURGH DUKE 84.1 Points 80.3 29.4 Field Goals Made 28.4 59.5 Field Goals Attempted 60 49% Field Goal Percentage 47% 8.8 3 Point Field Goals Made 24.5 3 Point Field Goals Attempted 10.3 35% 3 Point Field Goal Percentage 28.6 16.4 Free Throws Made 35% 21.1 Free Throws Attempted 13.1 77% Free Throw Percentage 17.5 33.5 Rebounds 75% 9 Offensive Rebounds 37.2 24.5 Defensive Rebounds 10.2 14.8 Assists 27 10 Turnovers Steals 6.9 Blocks 16.7 4.5 Personal Fouls 9.7 16.6 7.9

Solution Steps

For each team, the total missed field goals can be calculated using the formula: \[ \text{Missed Field Goals} = \text{Field Goals Attempted} - \text{Field Goals Made} \] For Pittsburgh: \[ \text{Missed Field Goals}_{Pittsburgh} = 59.5 - 29.4 = 30.1 \] For Duke: \[ \text{Missed Field Goals}_{Duke} = 60 - 28.4 = 31.6 \]

The defensive rating for each team is given directly as the points scored by the opposing team: \[ \text{Defensive Rating}_{Pittsburgh} = 80.3 \] \[ \text{Defensive Rating}_{Duke} = 84.1 \]

Next, we calculate the total missed shots points for each team, assuming each missed shot is worth 2 points: \[ \text{Missed Shots Points}_{Pittsburgh} = 30.1 \times 2 = 60.2 \] \[ \text{Missed Shots Points}_{Duke} = 31.6 \times 2 = 63.2 \] Finally, we divide the total missed shots points by the opposing team's defensive rating: \[ \text{Ratio}_{Pittsburgh} = \frac{60.2}{80.3} \approx 0.7497 \] \[ \text{Ratio}_{Duke} = \frac{63.2}{84.1} \approx 0.7515 \]

Final Answer