Ron Larson
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Chapter 10 Review Exercises

Chapter 10 Review Exercises
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  • 7. Describing Patterns in Men's Olympic Hammer Throw

    Describe any patterns in the graph.

    • Worked-Out Solution

      The winning distances increased dramatically between 1948 and 1980. Then the winning distances leveled off between 80 and 85 meters in most of the Olympics after 1980.

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      _____    __   __               ___     _____    
 /  ___||  \ \\/ //     ___     / _ \\  |  __ \\  
| // __     \ ` //     /   ||  | / \ || | |  \ || 
| \\_\ ||    | ||     | [] ||  | \_/ || | |__/ || 
 \____//     |_||      \__ ||   \___//  |_____//  
  `---`      `-`'       -|_||   `---`    -----`   
                         `-`
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  • 8. Olympic Records for Men's Hammer Throw

    What percent of the winning distances were Olympic records?

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      ______    ______   _____      ______    _____   
 /_   _//  /_   _// |  __ \\   /_   _//  / ____|| 
   | ||     -| ||-  | |  \ ||   -| ||-  / //---`' 
  _| ||     _| ||_  | |__/ ||   _| ||_  \ \\___   
 /__//     /_____// |_____//   /_____//  \_____|| 
 `--`      `-----`   -----`    `-----`    `----`
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  • 9. Olympic Record for Men's Hammer Throw

    What is the Olympic record for men's hammer throw?

    • Worked-Out Solution

      The Olympic record is the highest point in the graph. From the graph you can see that the Olympic record is about 85 meters. (The actual value is 84.8 meters.)

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     _    _      ___      ______     ___     ______   
| || | ||   / _ \\   /_   _//   / _ \\  |      \\ 
| || | ||  / //\ \\  `-| |,-   | / \ || |  --  // 
| \\_/ || |  ___  ||   | ||    | \_/ || |  --  \\ 
 \____//  |_||  |_||   |_||     \___//  |______// 
  `---`   `-`   `-`    `-`'     `---`   `------`
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  • 10. Estimating the 1940 Winning Distance

    What do you think the winning distance would have been in 1940 if the Olympics had been held? Explain your reasoning.

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      _____      ___      _____    __   __   __   _   
 /  ___||   / _ \\   /  ___||  \ \\/ // | || | || 
| // __    | / \ || | // __     \ ` //  | '--' || 
| \\_\ ||  | \_/ || | \\_\ ||    | ||   | .--. || 
 \____//    \___//   \____//     |_||   |_|| |_|| 
  `---`     `---`     `---`      `-`'   `-`  `-`
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  • 11. Olympic Record for Men's Hammer Throw

    Sketch a graph that shows the Olympic record for each year in the data set.

    • Worked-Out Solution

      To find the Olympic record for an Olympics, find the greatest winning distance in all of the Olympics up to and including that Olympics. Using this method and a spreadsheet, you can graph the Olympic record for each year in the data set.

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      _____    __   __   ______      ___      ______  
 / ____||  \ \\/ // |      \\   / _ \\   /_   _// 
/ //---`'   \ ` //  |  --  //  | / \ ||  `-| |,-  
\ \\___      | ||   |  --  \\  | \_/ ||    | ||   
 \_____||    |_||   |______//   \___//     |_||   
  `----`     `-`'   `------`    `---`      `-`'
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  • 12. Men's Hammer Throw Distances

    Graphically represent the top 8 distances (shown in meters) for the final round of the 2008 Olympic men's hammer throw.

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     _    _    __   __             __   __    ______  
| || | ||  \ \\/ //     ___    \ \\/ //  /_   _// 
| || | ||   \ ` //     /   ||   \ ` //   `-| |,-  
| \\_/ ||    | ||     | [] ||    | ||      | ||   
 \____//     |_||      \__ ||    |_||      |_||   
  `---`      `-`'       -|_||    `-`'      `-`'   
                         `-`
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  • 13. Calculating a Diver's Score in the Olympics

    Find the diver's score.

    Degree of difficulty: 2.2

    Judges' scores:

    • Worked-Out Solution

      Of the 7 scores, discard 7.0, 7.5, 8.5, and 9.0.

      Add the remaining scores and multiply by the degree of difficulty.

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    __    __     ___     ______     ______    ______  
\ \\ / //   / _ \\  |      \\  /_   _//  /_____// 
 \ \/ //   | / \ || |  --  //   -| ||-   `____ `  
  \  //    | \_/ || |  --  \\   _| ||_   /___//   
   \//      \___//  |______//  /_____//  `__ `    
    `       `---`   `------`   `-----`   /_//     
                                         `-`
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  • 14. Calculating a Ski Jumper's Score

    Find the score for a ski jumper with the following style points and distance. Assume the K-point is at 120 meters.

    Style Points: 16.0, 16.5, 19.0, 17.5, 18.0

    Distance: 128 meters

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     __   _    _    _     _____    _    _     ______  
| || | || | || | ||  / ____|| | || | ||  /_____// 
| '--' || | || | || / //---`' | || | ||  `____ `  
| .--. || | \\_/ || \ \\___   | \\_/ ||  /___//   
|_|| |_||  \____//   \_____||  \____//   `__ `    
`-`  `-`    `---`     `----`    `---`    /_//     
                                         `-`
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