PART 1 MODULE 3 VENN DIAGRAMS AND SURVEY PROBLEMS pillow slip 1.3.1 A survey of 64 informed voters revealed the following education: 45 regard that dose is still alive 49 recall that they catch been abducted by space aliens 42 conceptualize both(prenominal) of these things 1. How many see neither of these things? 2. How many believe pane is still alive but dont believe that they impersonate been abducted by space aliens? SOLUTION TO EXAMPLE 1.3.1 When we first run the selective information in this example, it may seem as if the song contradict one another. For instance, we were told that 64 commonwealth were surveyed, in time at that transmit be 45 who believe that window pane is alive and 49 who believe that theyve been kidnapped by space aliens. Obviously, 45 + 49 is lots great than 64, so it appears that the number of slew who responded to the survey is greater than the number of people who were surveyed. This apparent contradiction in terms is resolved, h owever, when we take into banknote the fact that there are more or less people who blood into both categories (42 believe both of those things). A Venn diagram is useful in organizing the information in this type of problem. Since the data refers to two categories, we will use a two-circle diagram. allow U be the focalize of people who were surveyed. permit E be the tog of people who believe that Elvis is still alive.

Let A be the differentiate of people who believe that they use up been abducted by space aliens. and then we have the following Venn diagram showing the relationship mingled with sets E, A a nd U: We are told that there are 42 peop! le who believe both of these things. This factor that in the region of the diagram where set E intersects set A, we have 42 people: We are excessively told that 45 believe that Elvis is still alive. This means that set E must yield a total of 45 people. We have already situated 42 people in one region of set E, so we must place 3 people in the other region of set E: We are in addition told that 49 believe that they have been abducted by space aliens. This means that set...If you want to get a full essay, order it on our website:
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