Q:

Draw a Venn diagram to help answer the following survey:A middle school teacher found the following information for her group of students:34 had seen Despicable Me29 had seen Epic26 had seen Turbo16 had seen Despicable Me and Epic12 had seen Despicable Me and Turbo10 had seen Epic and Turbo4 had seen all three of the films5 had seen none of the three filmsa)How many students had seen Turbo only? b) How many saw Epic only? c) How many had seen exactly two of the films? d) How many students were surveyed?

Accepted Solution

A:
Answer:a)8b)7c)26d)60Step-by-step explanation:The Venn Diagram is attachedFor number of people who saw a single movie onlySee the number associated with the movie name excluding all intersection partsFor people who watched only 2 movies exactlySum all the intersection parts of any 2 circle parts=6+12+8=26For total number of students surveyedSum up every number in the Venn diagram including the number 5 outside 3 circles(it represents that 5 people did not watch any of the films)=7+12+10+6+4+8+8+5=60