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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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