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Chapter 3 Review Exercises

Chapter 3 Review Exercises
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  • 1. Oiled Birds

    Birds were collected in areas affected by the Deepwater Horizon oil spill in the Gulf of Mexico. Through November 2, 2010, a report indicates that of the birds collected, 4342 were visibly oiled, 6104 were dead, and 2263 were both visibly oiled and dead. Draw a set diagram that shows the information.

    • Worked-Out Solution

      Here is one possible set diagram.

      The number of birds that were dead, but not visibly oiled was

      The number of birds that were visibly oiled, but not dead was

      With this information, you can refine the set diagram as follows.

      This diagram is a bit surprising, isn't it? The correlation between "dead" and "visibly oiled" is not as strong as one might first assume. Many of the oiled birds didn't die. Moreover, most of the birds that did die, didn't have any visible oil on them.

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    __    __   _    _     ______   __   __            
    \ \\ / // | || | ||  /_   _//  \ \\/ //     ___   
     \ \/ //  | || | ||    | ||     \ ` //     /   || 
      \  //   | \\_/ ||   _| ||      | ||     | [] || 
       \//     \____//   /__//       |_||      \__ || 
        `       `---`    `--`        `-`'       -|_|| 
                                                 `-`  
    
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  • 2. Oiled Birds

    Birds were collected in areas affected by the Deepwater Horizon oil spill in the Gulf of Mexico. Through November 2, 2010, a report indicates that of the birds collected, 4342 were visibly oiled, 6104 were dead, and 2263 were both visibly oiled and dead. How many birds were found visibly oiled or dead?

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     _    _    __   __   _    _     ______  __    __  
    | |  | ||  \ \\/ // | |  | ||  /_   _// \ \\ / // 
    | |/\| ||   \ ` //  | |/\| ||   -| ||-   \ \/ //  
    |  /\  ||    | ||   |  /\  ||   _| ||_    \  //   
    |_// \_||    |_||   |_// \_||  /_____//    \//    
    `-`   `-`    `-`'   `-`   `-`  `-----`      `     
                                                      
    
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  • 3. Kemp's Ridley Sea Turtles

    The set diagram shows characteristics of sea turtles upon arrival at an oil spill rehabilitation center. How many are Kemp's ridley sea turtles?

    • Worked-Out Solution

      The number of Kemp's ridley sea turtles is

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     _    _      ___     __   _      ___      ______  
    | \  / ||   / _ \\  | || | ||   / _ \\   /_   _// 
    |  \/  ||  / //\ \\ | '--' ||  / //\ \\    | ||   
    | .  . || |  ___  ||| .--. || |  ___  ||  _| ||   
    |_|\/|_|| |_||  |_|||_|| |_|| |_||  |_|| /__//    
    `-`  `-`  `-`   `-` `-`  `-`  `-`   `-`  `--`     
                                                      
    
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  • 4. Kemp's Ridley Sea Turtles

    The set diagram shows characteristics of sea turtles upon arrival at an oil spill rehabilitation center. How many are not Kemp's ridley sea turtles?

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                 ___     _    _      ___      ______  
      ____      / _ \\  | || | ||   / _ \\   /_   _// 
     |    \\   | / \ || | || | ||  / //\ \\  `-| |,-  
     | [] ||   | \_/ || | \\_/ || |  ___  ||   | ||   
     |  __//    \___//   \____//  |_||  |_||   |_||   
     |_|`-`     `---`     `---`   `-`   `-`    `-`'   
     `-`                                              
    
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  • 5. Sea Turtles and Medical Problems

    The set diagram shows characteristics of sea turtles upon arrival at an oil spill rehabilitation center. How many sea turtles have respiratory problems and vision problems?

    • Worked-Out Solution

      The number of sea turtles that have respiratory problems and vision problems is

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      ______     ___      ______   _    _    ______   
     /_   _//   / _ \\   /_   _// | || | || |      \\ 
     `-| |,-   / //\ \\    | ||   | || | || |  --  // 
       | ||   |  ___  ||  _| ||   | \\_/ || |  --  \\ 
       |_||   |_||  |_|| /__//     \____//  |______// 
       `-`'   `-`   `-`  `--`       `---`   `------`  
                                                      
    
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  • 6. Sea Turtles and Medical Problems

    The set diagram shows characteristics of sea turtles upon arrival at an oil spill rehabilitation center. How many sea turtles have respiratory problems or vision problems?

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      ______   __   __    _  _      ___     __   _   
     /_   _//  \ \\/ //  | \| ||   / _ \\  | || | || 
     `-| |,-    \ ` //   |  ' ||  | / \ || | '--' || 
       | ||      | ||    | .  ||  | \_/ || | .--. || 
       |_||      |_||    |_|\_||   \___//  |_|| |_|| 
       `-`'      `-`'    `-` -`    `---`   `-`  `-`  
                                                     
    
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  • 7. U.S. Coast Guard

    The U.S. Coast Guard (USCG) sends British Petroleum bills that demand payment for equipment and personnel costs incurred due to the Deepwater Horizon oil spill. Information regarding bill #9 from January 11, 2011, is shown. Draw a set diagram that shows the information.

    Nov/Dec 2010                                  Costs: $9,843,486.77

    Equipment Costs:

    • USCG Aircraft: $25,623.00
    • USCG Vehicle: $43,484.92
    • Worked-Out Solution

      Here is one possible set diagram that shows this information.

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     _    _     _____     _____      ___     __   _   
    | || | ||  |  ___||  |__  //    / _ \\  | || | || 
    | || | ||  | ||__      / //    | / \ || | '--' || 
    | \\_/ ||  | ||__     / //__   | \_/ || | .--. || 
     \____//   |_____||  /_____||   \___//  |_|| |_|| 
      `---`    `-----`   `-----`    `---`   `-`  `-`  
                                                      
    
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  • 8. U.S. Coast Guard

    The U.S. Coast Guard (USCG) sends British Petroleum bills that demand payment for equipment and personnel costs incurred due to the Deepwater Horizon oil spill. Information regarding bill #9 from January 11, 2011, is shown. How much did the USCG charge for the use of its personnel?

    Nov./Dec. 2010 Costs: $9,843,486.77

    Equipment Costs:

    • USCG Aircraft: $25,623.00
    • USCG Vehicle: $43,484.92
    Comments (0)

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