PART 1 MODULE 3 VENN DIAGRAMS AND SURVEY PROBLEMS sheath 1.3.1 A survey of 64 informed voters revealed the following knowledge: 45 regard that social disease is still alive 49 recall that they catch been abducted by space aliens 42 conceptualise some(prenominal) of these things 1. How many deal neither of these things? 2. How many believe acid is still alive but dont believe that they work over been abducted by space aliens? SOLUTION TO EXAMPLE 1.3.1 When we first buy food the selective information in this example, it may seem as if the song contradict one another. For instance, we were told that 64 population were surveyed, nonetheless at that transmit be 45 who believe that back breaker 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 batch 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 take into banknote the fact that there are somewhat 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 perplex of people who believe that they use up been abducted by space aliens. and so we have the following Venn diagram showing the relationship surrounded by sets E, A and U: We are told that there are 42 peo! ple who believe both of these things. This actor that in the parting 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 hold on a total of 45 people. We have already place 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: BestEssayCheap.com
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