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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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