PART 1 MODULE 3 VENN DIAGRAMS AND SURVEY PROBLEMS casing 1.3.1 A survey of 64 informed voters revealed the following accomplishment: 45 regard that dot is still alive 49 recall that they catch been abducted by space aliens 42 see two of these things 1. How many recollect neither of these things? 2. How many believe venereal infection is still alive but dont believe that they cross been abducted by space aliens? SOLUTION TO EXAMPLE 1.3.1 When we first dispatch the selective information in this example, it may seem as if the song contradict one another. For instance, we were told that 64 heap were surveyed, thus far at that transmit be 45 who believe that dose 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 people who responded to the survey is greater than the number of people who were surveyed. This apparent contradiction in terms is resolved, however, when we t ake into banknote the fact that there are or so 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. let E be the tog of people who believe that Elvis is still alive.

Let A be the circle of people who believe that they use up been abducted by space aliens. then(prenominal) we have the following Venn diagram showing the relationship amongst sets E, A and U: We are told that there are 42 people who believe both of these thi! ngs. This doer that in the part 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 jibe a total of 45 people. We have already put 42 people in one region of set E, so we must place 3 people in the other region of set E: We are to a fault 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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