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10.2 The Olympics

10.2 The Olympics
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  • 13. Calculating a Diver's Score in the Olympics

    Find the diver's score. (See Example 5.)

    Degree of difficulty: 1.7

    Judges' scores:

    • Worked-Out Solution

      Of the 7 scores, discard 7.0, 8.5, 9.0, and 9.5.

      Add the remaining scores and multiply by the degree of difficulty.

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     _    _    _    _    __   __    ______   _    _   
| || | || | || | ||  \ \\/ //  /_   _// | || | || 
| || | || | || | ||   \   //    -| ||-  | || | || 
| \\_/ || | \\_/ ||   / . \\    _| ||_  | \\_/ || 
 \____//   \____//   /_//\_\\  /_____//  \____//  
  `---`     `---`    `-`  --`  `-----`    `---`
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  • 14. Calculating a Diver's Score in the Olympics

    Find the diver's score. (See Example 5.)

    Degree of difficulty: 3.6

    Judges' scores:

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      _  _      ___      _____      ___      ______  
 | \| ||   / _ \\   /  ___||   / _ \\   /_____// 
 |  ' ||  / //\ \\ | // __    | / \ ||  `____ `  
 | .  || |  ___  ||| \\_\ ||  | \_/ ||  /___//   
 |_|\_|| |_||  |_|| \____//    \___//   `__ `    
 `-` -`  `-`   `-`   `---`     `---`    /_//     
                                        `-`
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  • 15. Calculating a Diver's Score in the Olympics

    Find the diver's score. (See Example 5.)

    Degree of difficulty: 2.4

    Judges' scores:

    • Worked-Out Solution

      Of the 7 scores, discard 6.5, 7.0, 8.5, and 9.0.

      Add the remaining scores and multiply by the degree of difficulty.

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     _    _     ______    _  __    ______   _    _   
| \  / ||  /_   _//  | |/ //  /_   _// | || | || 
|  \/  ||   -| ||-   | ' //    -| ||-  | || | || 
| .  . ||   _| ||_   | . \\    _| ||_  | \\_/ || 
|_|\/|_||  /_____//  |_|\_\\  /_____//  \____//  
`-`  `-`   `-----`   `-` --`  `-----`    `---`
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  • 16. Calculating a Diver's Score in the Olympics

    Find the diver's score. (See Example 5.)

    Degree of difficulty: 2.6

    Judges' scores:

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      _____    _    _   __    __    ______   _____    
 |__  //  | || | || \ \\ / //  /_   _// |  __ \\  
   / //   | || | ||  \ \/ //    -| ||-  | |  \ || 
  / //__  | \\_/ ||   \  //     _| ||_  | |__/ || 
 /_____||  \____//     \//     /_____// |_____//  
 `-----`    `---`       `      `-----`   -----`
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  • 17. Calculating a Ski Jumper's Score

    Find the score for a ski jumper with the given style points and distance. Assume the K-point is at 120 meters. (See Example 6.)

    Style Points: 17.0, 18.5, 17.5, 17.5, 19.0

    Distance: 124 meters

    • Worked-Out Solution

      So, the ski jumper's score is 120.7 points.

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      ______    ______   _    _    _    _    __   _   
 /_   _//  /_   _// | |  | || | || | || | || | || 
 `-| |,-    -| ||-  | |/\| || | || | || | '--' || 
   | ||     _| ||_  |  /\  || | \\_/ || | .--. || 
   |_||    /_____// |_// \_||  \____//  |_|| |_|| 
   `-`'    `-----`  `-`   `-`   `---`   `-`  `-`
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  • 18. Calculating a Ski Jumper's Score

    Find the score for a ski jumper with the given style points and distance. Assume the K-point is at 120 meters. (See Example 6.)

    Style Points: 18.0, 19.0, 20.0, 19.5, 19.5

    Distance: 130 meters

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    __    __     ___     _    _     _____     ______  
\ \\ / //   / _ \\  | \  / ||  |  ___||  /_____// 
 \ \/ //   | / \ || |  \/  ||  | ||__    `____ `  
  \  //    | \_/ || | .  . ||  | ||__    /___//   
   \//      \___//  |_|\/|_||  |_____||  `__ `    
    `       `---`   `-`  `-`   `-----`   /_//     
                                         `-`
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  • 19. Calculating a Ski Jumper's Score

    Find the score for a ski jumper with the given style points and distance. Assume the K-point is at 120 meters. (See Example 6.)

    Style Points: 16.5, 17.0, 18.5, 17.0, 19.0

    Distance: 110 meters

    • Worked-Out Solution

      So, the ski jumper's score is 94.5 points.

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     ______    __   __  __    __   __   __   __   _   
|      \\  \ \\/ // \ \\ / //  \ \\/ // | || | || 
|  --  //   \ ` //   \ \/ //    \ ` //  | '--' || 
|  --  \\    | ||     \  //      | ||   | .--. || 
|______//    |_||      \//       |_||   |_|| |_|| 
`------`     `-`'       `        `-`'   `-`  `-`
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  • 20. Calculating a Ski Jumper's Score

    Find the score for a ski jumper with the given style points and distance. Assume the K-point is at 120 meters. (See Example 6.)

    Style Points: 18.0, 19.5, 19.5, 20.0, 19.5

    Distance: 115 meters

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    __    __   _    _    __   _      ___      ____    
\ \\ / // | || | || | || | ||   / _ \\   |  _ \\  
 \ \/ //  | || | || | '--' ||  | / \ ||  | |_| || 
  \  //   | \\_/ || | .--. ||  | \_/ ||  | .  //  
   \//     \____//  |_|| |_||   \___//   |_|\_\\  
    `       `---`   `-`  `-`    `---`    `-` --`
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