document.write( "Question 274866: I've been struggling with the following problem:\r
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document.write( "A health club with a membership of 650 people operates a running track and an indoor swimming pool. A survey of the membership indicates that 68% use the running track, 44% use the swimming pool, and 8% use neither. If a member is chosen at random,
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document.write( "a. what is the probability that the member uses both the track and the pool?\r
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document.write( "b. what is the probability that the member uses only the track?\r
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document.write( "Here's my work on section A, I don't know if it is correct?\r
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document.write( "P(T∩P) = P(T) * P(P)
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document.write( "= (44/100) * (68/100)
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document.write( "= 2992/10000 = .2992 = 30%\r
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document.write( "Thank you, Anrea \n" );
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Algebra.Com's Answer #200546 by scott8148(6628)![]() ![]() You can put this solution on YOUR website! \"8% use neither\" ___ so 92% use one or the other or both\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "\"68% use the running track\" ___ so 68% - b use only the track\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "\"44% use the swimming pool\" ___ so 44% - b use only the pool\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(68% - b) + (44% - b) + b = 92%\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "112% - b = 92% ___ 20% = b\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "substituting ___ 68% - 20% = 48% use only track \n" ); document.write( " |