A survey was completed by individuals who were currently on the Zone diet exercise program (E), taking diet pills (P), or under medical supervision (M). Supplements E P M Totals Diet Z 127 88 68 283 S 107 68 56 231 W 131 45 42 218 Totals 365 201 166 732 Find the number of surveyed people in each of the following sets.a) S ∩ Eb) Z ∪ Mc) S ′ ∩ ( E ∪ P )d) ( Z ∪ S ) ∩ ( M ′ )e) W ′ ∩ ( P ∪ M ) ′ f) W ′ ∪ P

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A survey was completed by individuals who were currently on the Zone diet exercise program (E), taking diet pills (P), or under medical supervision (M).                    Supplements                          E                    P                    M                    Totals                            Diet                    Z                    127                    88                    68                    283                                  S                    107                    68                    56                    231                                  W                    131                    45                    42                    218                            Totals                          365                    201                    166                    732            Find the number of surveyed people in each of the following sets.a)   S  ∩  Eb)   Z  ∪  Mc)       S    ′    ∩  (  E  ∪  P  )d)   (  Z  ∪  S  )  ∩  (      M    ′    )e)       W    ′    ∩  (  P  ∪  M      )    ′  f)       W    ′    ∪  P

Nicholas Mathis · Accepted Answer

Step 1Number of surveyed people:a)   =  107 peopleb)   =  127  +  88  +  68    =  283 peoplec)   =  E  ∪  P  =  127  +  88    =  215d)   =  127  +  88  +  107  +  68    =  390e)   =  127  +  107  =  234f)   =  127  +  68  +  88  +  107  +  68  +  56  +  45    =  559 people

A survey was completed by individuals who were currently on the Zone diet exercise program (E), taking diet pills (P), or under medical supervision (M).

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