document.write( "Question 1205866: A survey of a group's web habits for the past month obtained the following information.\r
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document.write( "30% visited Facebook.
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document.write( "38% visited LinkedIn.
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document.write( "36% visited Google.
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document.write( "16% visited Facebook and LinkedIn.
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document.write( "16% visited Facebook and Google.
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document.write( "18% visited LinkedIn and Google.
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document.write( "9% visited all three sites.\r
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document.write( "Find the percentage that visited none of these three sites last month.\r
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document.write( "Hint: Draw a Venn diagram for three sets. Then label appropriate parts from the given information. \n" );
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Algebra.Com's Answer #842933 by ikleyn(52777)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "Find the percentage of those who visited at least on of the three sites.\r\n" ); document.write( "\r\n" ); document.write( "Use the Inclusion-Exclusion principle/formula\r\n" ); document.write( "\r\n" ); document.write( " \r\n" ); document.write( " 30% + 38% + 36% - 15% - 16% - 18% + 9% = 64%.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The percentage of those who visited none of these three sites last month \r\n" ); document.write( "is the complement of 64% to 100%, i.e. 100% - 64% = 36%.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "ANSWER. 36%.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "On inclusion-exclusion principle, see this Wikipedia article\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "https://en.wikipedia.org/wiki/Inclusion%E2%80%93exclusion_principle\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "To see many other similar (and different) solved problems, see the lessons\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " - Counting elements in sub-sets of a given finite set\r \n" ); document.write( "\n" ); document.write( " - Advanced problems on counting elements in sub-sets of a given finite set\r \n" ); document.write( "\n" ); document.write( " - Challenging problems on counting elements in subsets of a given finite set \r \n" ); document.write( "\n" ); document.write( " - Selected problems on counting elements in subsets of a given finite set \r \n" ); document.write( "\n" ); document.write( " - Inclusion-Exclusion principle problems \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "in this site.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Happy learning (!)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |