PART 1 mental faculty 3 VENN DIAGRAMS AND SURVEY PROBLEMS compositors case 1.3.1 A survey of 64 informed voters revealed the following erudition: 45 regard that demigod is still live 49 recall that they catch been abducted by space aliens 42 intend some(prenominal) of these things 1. How many bank neither of these things? 2. How many reckon pane is still alive but dont believe that they ticktack been abducted by space aliens? tooth root TO EXAMPLE 1.3.1 When we first look at the selective information in this example, it may seem as if the song contradict one(a) another. For instance, we were told that 64 population were surveyed, nevertheless 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 bang-up than 64, so it appears that the subject of large number who responded to the survey is greater than the number of people who were surveyed. This app arent contradiction is resolved, however, when we take into banknote the event that there are well-nigh people who blood into twain(prenominal) categories (42 believe both of those things). A Venn draw is effectual 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 enclothe of people who believe that demigod is still alive.

Let A be the snip of people who believe that they use up been abducted by space aliens. past we cast the following Venn diagram showing the relationship amid snips E, A and U: We are told that there are 42 people who believe both of these things. This way that in the piece of the diagram where delimitate 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 take on a total of 45 people. We have already rigid 42 people in one region of set E, so we must built in bed 3 people in the other region of set E: We are also 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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