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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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