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Dartios in Sports

Isportie Thourpereted is leading the pro sports industry, and your interview is right now. In order to secure your position as a sports statistician, you have to show the CEO you are ready for the job. Answer the following questions to help show you are ready to become the department's newest employee.

Hockey Save Percentage

Save percentage is calculated with the ratio of the number of saves to the total shots on goal. Shots on goal are the number of goals plus the saves. Most NHL goalies have a save percentage above .910 or [tex]$91\%$[/tex]. Show your skills in finding save percentage below using today's top goalies' information. Example: [tex]$\frac{83}{87} = .954$[/tex] or [tex]$95\%$[/tex].

\begin{tabular}{|c|c|c|c|c|c|}
\hline
Player & Team & \begin{tabular}{c} Shots \\ Against \end{tabular} & Saves & \begin{tabular}{c} Save \\ Percentage \\ (decimal) \end{tabular} & \begin{tabular}{c} Save \\ Percentage \\ (percent) \end{tabular} \\
\hline
Luongo, Roberto & Florida & 47 & 45 & & \\
\hline
Kuemper, Darcy & Arizona & 92 & 88 & & \\
\hline
Halak, Jaroslav & Boston & 230 & 219 & & \\
\hline
Rinne, Pekka & Nashville & 210 & 199 & & \\
\hline
\end{tabular}

A hockey game has 3 periods. Below are the stats of a single game for Pekka Rinne. Find his save percentage for the game.

\begin{tabular}{|c|c|c|}
\hline
Period & Saves & Shots Against \\
\hline
1st Period & 8 & 8 \\
\hline
2nd Period & 8 & 9 \\
\hline
3rd Period & 7 & 7 \\
\hline
\end{tabular}



Answer :

GinnyAnswer
To calculate the save percentage for each goalie and Pekka Rinne's single game stats, let's proceed step-by-step.

### Save Percentage Calculation for the Day's Top Goalies
The save percentage is calculated with the ratio of the number of saves to the total shots on goal. To convert this ratio to a percentage, we multiply it by 100.

#### 1. Roberto Luongo (Florida)
- Shots Against: 47
- Saves: 45
- Save Percentage (decimal): [tex]\( \frac{45}{47} = 0.9574468085106383 \)[/tex]
- Save Percentage (percent): [tex]\( 0.9574468085106383 \times 100 = 95.74468085106383\% \)[/tex]

#### 2. Darcy Kuemper (Arizona)
- Shots Against: 92
- Saves: 88
- Save Percentage (decimal): [tex]\( \frac{88}{92} = 0.9565217391304348 \)[/tex]
- Save Percentage (percent): [tex]\( 0.9565217391304348 \times 100 = 95.65217391304348\% \)[/tex]

#### 3. Jaroslav Halak (Boston)
- Shots Against: 230
- Saves: 219
- Save Percentage (decimal): [tex]\( \frac{219}{230} = 0.9521739130434783 \)[/tex]
- Save Percentage (percent): [tex]\( 0.9521739130434783 \times 100 = 95.21739130434783\% \)[/tex]

#### 4. Pekka Rinne (Nashville)
- Shots Against: 210
- Saves: 199
- Save Percentage (decimal): [tex]\( \frac{199}{210} = 0.9476190476190476 \)[/tex]
- Save Percentage (percent): [tex]\( 0.9476190476190476 \times 100 = 94.76190476190476\% \)[/tex]

Let's tabulate these results:

| Name | Team | Shots Against | Saves | Save Percentage (decimal) | Save Percentage (percent) |
|------------------|-----------|----------------|-------|--------------------------|---------------------------|
| Luongo, Roberto | Florida | 47 | 45 | 0.9574468085106383 | 95.74468085106383 |
| Kuemper, Darcy | Arizona | 92 | 88 | 0.9565217391304348 | 95.65217391304348 |
| Halak, Jaroslav | Boston | 230 | 219 | 0.9521739130434783 | 95.21739130434783 |
| Rinne, Pekka | Nashville | 210 | 199 | 0.9476190476190476 | 94.76190476190476 |

### Save Percentage for Pekka Rinne's Single Game
Let's move on to calculating the save percentage for a single game for Pekka Rinne. We will sum the saves and the shots against for each period, and then calculate the save percentage.

#### Period-wise Stats:
- 1st Period: 8 saves, 8 shots against
- 2nd Period: 8 saves, 9 shots against
- 3rd Period: 7 saves, 7 shots against

#### Calculation:
- Total Saves: [tex]\( 8 + 8 + 7 = 23 \)[/tex]
- Total Shots Against: [tex]\( 8 + 9 + 7 = 24 \)[/tex]
- Save Percentage (decimal): [tex]\( \frac{23}{24} = 0.9583333333333334 \)[/tex]
- Save Percentage (percent): [tex]\( 0.9583333333333334 \times 100 = 95.83333333333334\% \)[/tex]

Let's tabulate these results:

| Period | Saves | Shots Against |
|---------------|-------|---------------|
| 1st Period | 8 | 8 |
| 2nd Period | 8 | 9 |
| 3rd Period | 7 | 7 |
| Total | 23 | 24 |
| Save Percentage (decimal) | 0.9583333333333334 |
| Save Percentage (percent) | 95.83333333333334% |

With these calculations, we demonstrate the ability to determine save percentages both for multiple games over a season and for a single game, proving readiness for the role as a sports statistician.

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