Questions: MAINE UMBC 72.5 Points 81.8 27.1 Field Goals Made 29.8 57.7 Field Goals Attempted 61.9 46% Field Goal Percentage 6.7 3 Point Field Goals Made 48% 18.9 3 Point Field Goals Attempted 9.1 35% 3 Point Field Goal Percentage 23.4 11.8 Free Throws Made 38% 15.5 Free Throws Attempted 13.2 76% Free Throw Percentage 18.7 28.1 Rebounds 70% 6.8 Offensive Rebounds 32 21.4 Defensive Rebounds 7.8 15.3 Assists 24.2 10.8 Turnovers 15.4 9.6 Steals Blocks 2.9 Personal Fouls 11.2 15.3 7.6

MAINE

UMBC

72.5 Points 81.8

27.1 Field Goals Made 29.8

57.7 Field Goals Attempted 61.9

46% Field Goal Percentage

6.7 3 Point Field Goals Made 48%

18.9 3 Point Field Goals Attempted 9.1

35% 3 Point Field Goal Percentage 23.4

11.8 Free Throws Made 38%

15.5 Free Throws Attempted 13.2

76% Free Throw Percentage 18.7

28.1 Rebounds 70%

6.8 Offensive Rebounds 32

21.4 Defensive Rebounds 7.8

15.3 Assists 24.2

10.8 Turnovers 15.4

9.6 Steals Blocks

2.9 Personal Fouls 11.2

15.3  7.6
Transcript text: MAINE UMBC \begin{tabular}{lcc} 72.5 & Points & 81.8 \\ \hline 27.1 & Field Goals Made & 29.8 \\ \hline 57.7 & Field Goals Attempted & 61.9 \\ \hline $46 \%$ & Field Goal & Percentage \\ \hline 6.7 & 3 Point Field Goals Made & $48 \%$ \\ \hline 18.9 & 3 Point Field Goals Attempted & 9.1 \\ \hline $35 \%$ & 3 Point Field Goal Percentage & 23.4 \\ \hline 11.8 & Free Throws Made & $38 \%$ \\ \hline 15.5 & Free Throws Attempted & 13.2 \\ \hline $76 \%$ & Free Throw Percentage & 18.7 \\ \hline 28.1 & Rebounds & $70 \%$ \\ \hline 6.8 & Offensive Rebounds & 32 \\ \hline 21.4 & Defensive Rebounds & 7.8 \\ \hline 15.3 & Assists & 24.2 \\ \hline 10.8 & Turnovers & 15.4 \\ \hline 9.6 & Steals & Blocks \\ \hline 2.9 & Personal Fouls & 11.2 \\ \hline 15.3 & & 7.6 \\ \hline \end{tabular}
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Solution

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Calculate the combined rebound rate for MAINE.

Calculate the missed shots for MAINE.

The missed shots for MAINE is given by \( \text{Missed Shots} = \text{Field Goals Attempted} - \text{Field Goals Made} = 57.7 - 27.1 = 30.6 \).

Calculate the offensive rebound rate for MAINE.

The offensive rebound rate for MAINE is calculated as \( \text{Offensive Rebound Rate} = \frac{\text{Offensive Rebounds}}{\text{Opposing Team's Missed Shots}} = \frac{6.8}{32.1} \approx 0.2118 \).

Calculate the defensive rebound rate for MAINE.

The defensive rebound rate for MAINE is calculated as \( \text{Defensive Rebound Rate} = \frac{\text{Defensive Rebounds}}{\text{Opposing Team's Missed Shots}} = \frac{21.4}{32.1} \approx 0.6667 \).

Calculate the combined rebound rate for MAINE.

The combined rebound rate for MAINE is given by \( \text{Combined Rate} = \frac{\text{Offensive Rebound Rate} + \text{Defensive Rebound Rate}}{\text{Opposing Team's Turnovers}} = \frac{0.2118 + 0.6667}{10.8} \approx 0.0813 \).

The combined rebound rate for MAINE is \\(\boxed{0.0813}\\).

Calculate the combined rebound rate for UMBC.

Calculate the missed shots for UMBC.

The missed shots for UMBC is given by \( \text{Missed Shots} = \text{Field Goals Attempted} - \text{Field Goals Made} = 61.9 - 29.8 \approx 32.1 \).

Calculate the offensive rebound rate for UMBC.

The offensive rebound rate for UMBC is calculated as \( \text{Offensive Rebound Rate} = \frac{\text{Offensive Rebounds}}{\text{Opposing Team's Missed Shots}} = \frac{7.8}{30.6} \approx 0.2549 \).

Calculate the defensive rebound rate for UMBC.

The defensive rebound rate for UMBC is calculated as \( \text{Defensive Rebound Rate} = \frac{\text{Defensive Rebounds}}{\text{Opposing Team's Missed Shots}} = \frac{24.2}{30.6} \approx 0.7908 \).

Calculate the combined rebound rate for UMBC.

The combined rebound rate for UMBC is given by \( \text{Combined Rate} = \frac{\text{Offensive Rebound Rate} + \text{Defensive Rebound Rate}}{\text{Opposing Team's Turnovers}} = \frac{0.2549 + 0.7908}{15.4} \approx 0.0679 \).

The combined rebound rate for UMBC is \\(\boxed{0.0679}\\).

The combined rebound rate for MAINE is \\(\boxed{0.0813}\\).
The combined rebound rate for UMBC is \\(\boxed{0.0679}\\).

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