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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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