Questions: SACRAMENTO CHICAGO 115.9 Points 118.2 42.9 Field Goals Made 43.5 90.6 Field Goals Attempted 92.3 47% Field Goal Percentage 12.4 3 Point Field Goals Made 47% 35.8 3 Point Field Goals Attempted 16.5 34% 3 Point Field Goal Percentage 43.8 17.7 Free Throws Made 37% 21.9 Free Throws Attempted 14.8 80% Free Throw Percentage 18.7 101.5 Possessions 79% 44.5 Rebounds 104.9 10.8 Offensive Rebounds 45.3 33.6 Defensive Rebounds 9.4 26.2 Assists 35.9 13 Turnovers 29.6 8.4 Steals 14.6 4.8 Blocks 7.7 20.1 Personal Fouls 4.7

SACRAMENTO CHICAGO 115.9 Points 118.2 42.9 Field Goals Made 43.5 90.6 Field Goals Attempted 92.3 47% Field Goal Percentage 12.4 3 Point Field Goals Made 47% 35.8 3 Point Field Goals Attempted 16.5 34% 3 Point Field Goal Percentage 43.8 17.7 Free Throws Made 37% 21.9 Free Throws Attempted 14.8 80% Free Throw Percentage 18.7 101.5 Possessions 79% 44.5 Rebounds 104.9 10.8 Offensive Rebounds 45.3 33.6 Defensive Rebounds 9.4 26.2 Assists 35.9 13 Turnovers 29.6 8.4 Steals 14.6 4.8 Blocks 7.7 20.1 Personal Fouls 4.7
Transcript text: SACRAMENTO CHICAGO \begin{tabular}{lcr} 115.9 & Points & 118.2 \\ \hline 42.9 & Field Goals Made & 43.5 \\ \hline 90.6 & Field Goals Attempted & 92.3 \\ \hline $47 \%$ & Field Goal & Percentage \\ \hline 12.4 & 3 Point Field Goals Made & $47 \%$ \\ \hline 35.8 & 3 Point Field Goals Attempted & 16.5 \\ \hline $34 \%$ & 3 Point Field Goal Percentage & 43.8 \\ \hline 17.7 & Free Throws Made & $37 \%$ \\ \hline 21.9 & Free Throws Attempted & 14.8 \\ \hline $80 \%$ & Free Throw Percentage & 18.7 \\ \hline 101.5 & Possessions & $79 \%$ \\ \hline 44.5 & Rebounds & 104.9 \\ \hline 10.8 & Offensive Rebounds & 45.3 \\ \hline 33.6 & Defensive Rebounds & 9.4 \\ \hline 26.2 & Assists & 35.9 \\ \hline 13 & Turnovers & 29.6 \\ \hline 8.4 & Steals & 14.6 \\ \hline 4.8 & Blocks & 7.7 \\ \hline 20.1 & Personal Fouls & 4.7 \\ \hline \end{tabular}
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Solution

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Solution Steps

Step 1: Calculate Missed Shots

For Sacramento, the missed shots are calculated as: \[ \text{Sacramento Missed Shots} = \text{Chicago Field Goals Attempted} - \text{Chicago Field Goals Made} = 92.3 - 43.5 = 48.8 \]

For Chicago, the missed shots are calculated as: \[ \text{Chicago Missed Shots} = \text{Sacramento Field Goals Attempted} - \text{Sacramento Field Goals Made} = 90.6 - 42.9 = 47.7 \]

Step 2: Calculate Defensive Rebound Percentage (Missed Shots)

For Sacramento, the defensive rebound percentage based on missed shots is: \[ \text{Sacramento Defensive Rebound Percentage (Missed Shots)} = \frac{\text{Sacramento Defensive Rebounds}}{\text{Chicago Missed Shots}} = \frac{33.6}{48.8} \approx 0.7044 \]

For Chicago, the defensive rebound percentage based on missed shots is: \[ \text{Chicago Defensive Rebound Percentage (Missed Shots)} = \frac{\text{Chicago Defensive Rebounds}}{\text{Sacramento Missed Shots}} = \frac{9.4}{47.7} \approx 0.1926 \]

Step 3: Calculate Defensive Rebound Percentage (Attempted Shots)

For Sacramento, the defensive rebound percentage based on attempted shots is: \[ \text{Sacramento Defensive Rebound Percentage (Attempted Shots)} = \frac{\text{Sacramento Defensive Rebounds}}{\text{Chicago Field Goals Attempted}} = \frac{33.6}{92.3} \approx 0.3580 \]

For Chicago, the defensive rebound percentage based on attempted shots is: \[ \text{Chicago Defensive Rebound Percentage (Attempted Shots)} = \frac{\text{Chicago Defensive Rebounds}}{\text{Sacramento Field Goals Attempted}} = \frac{9.4}{90.6} \approx 0.1038 \]

Final Answer

The results for the defensive rebound percentages are as follows:

  • Sacramento Defensive Rebound Percentage (Missed Shots): \( \approx 0.70 \)
  • Chicago Defensive Rebound Percentage (Missed Shots): \( \approx 0.19 \)
  • Sacramento Defensive Rebound Percentage (Attempted Shots): \( \approx 0.36 \)
  • Chicago Defensive Rebound Percentage (Attempted Shots): \( \approx 0.10 \)

Thus, the final answers are: \[ \boxed{ \begin{align_} \text{Sacramento Defensive Rebound Percentage (Missed Shots)} & \approx 0.70 \\ \text{Chicago Defensive Rebound Percentage (Missed Shots)} & \approx 0.19 \\ \text{Sacramento Defensive Rebound Percentage (Attempted Shots)} & \approx 0.36 \\ \text{Chicago Defensive Rebound Percentage (Attempted Shots)} & \approx 0.10 \end{align_} } \]

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