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Nataly [62]
3 years ago
10

Solve for y.

Mathematics
1 answer:
den301095 [7]3 years ago
7 0

Answer by Mimiwhatsup:

\mathrm{Switch\:sides}\\5x+5y=d\\\mathrm{Subtract\:}5x\mathrm{\:from\:both\:sides}\\5x+5y-5x=d-5x\\Simplify\\5y=d-5x\\\mathrm{Divide\:both\:sides\:by\:}5\\\frac{5y}{5}=\frac{d}{5}-\frac{5x}{5}\\\mathrm{Simplify}\\y=\frac{d-5x}{5}

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I'm  \: assuming  \: you \:  meant \:  "group." \:  Draw  \: your \:  3 \:  circles  \: for \:  apples,  \: bananas, \:  and  \: cherries \:  with \:  overlap  \: of  \: all \:  three \:  with  \: each \:  other  \: and  \: make \:  sure \:  there \:  is  \: overlap  \: between  \: each \:  two  \: circles  \: as  \: well.  \:  Note \:  your  \: total = 38 + 42 + 14 = 94 \:  (necessary  \: to \:  calculate  \: the \:  probability) \:  is \:  greater \:  than \:  the  \: 80 \:  people \:  surveyed. \:  Unfortunately,  \: I  \: cannot \:  draw \:  it \:  here \:  for \:  you. \:  There  \: does  \: appear \:  to \:  be \:  a \:  problem \:  with \:  the \:  total \:  number  \: of  \: those \:  who \:  like \:  cherries,  \: as  \: well. \:  It  \: can't \:  be  \: 14  \: with \:  the \:  overlap \:  with  \: other \:  fruit \:  likes, \:  so \:  check \:  the \:  number  \: again. \:   Even  \: if  \: I \:  were  \: to \:  assume \:  the \:  6 \:  that  \: like \:  all  \: 3 \:  fruits \:  included \: , for  \: example, \:  those  \: that \:  like \:  apples \:  and \:  bananas \:  (meaning \:  those \:  that  \: strictly  \: like  \: apples  \: and \:  bananas  \: = 20 - 6 = 14),  \: my  \: total  \: using \:  this  \: approach \:  would  \: be  \: 64,  \: not  \: 80. \: After  \: verifying  \: the  \: question,  \: to \:  find  \: those \:  that \:  simply  \: like \:  one  \: fruit,  \: subtract \:  the  \: numbers \:  that  \: overlap  \: from  \: the  \: total  \: (using  \: your  \: original  \: data,  \: you  \: should  \: get  \: 6  \: people  \: like  \: only  \: apples,  \: and  \: 6 \:  like \:  only  \: bananas).  \: So \:  the  \: probability  \: of  \: those  \: who  \: like  \: either \:  apples \:  or  \: bananas  \: would  \: be  \: 6 + 6 / 94 (or 12 / 94) if  \: the \:  numbers  \: were  \: correct \:  for  \: the  \: cherry \:  fans.

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3 years ago
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