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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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