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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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