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Question 455492: I have drawn my Venn diagram for the following problem using 3 circles: I used to label my circles A, B, C, D, E,. The information I was given is as follows:
Survey of 127 dancers, 83 knew Ballroom dances, 74 knew Latin dances, 47 knew Swing dance,28 knew both ballroom and swing, and 16 knew all three dances.
I had to draw my Venn diagram to refect this information, which I have done.
a)= How many knew ONLY the ballroom dance?
b)= How many knew ONLY the Latin dance?
c)= How many knew exactly one of the 3 dances?
d)= How many knew the Latin and Swing dances, but NOT the ballroom dances?
e)= How many knew NONE of these danes?
My answers are: 16 knew all 3 - so I put them in them where the circle where the 3 circle overlaps
28 knew both ballroom and swing... 28-16=12
29 knew Swing and Latin..29-16=13
47 knew ballroom and Latin 47-16=31
47 knew Swing ONLY 47-12-16-13=6
74 knew Latin ONLY 74-31-16-13=14
83 knew Ballroom ONLY 83-12-16-31=24
a)=24
b)=14
c)= add DISABLED_event_ONLY= 44
d)= add Latin and Swing ONLY and's=33
e)= subtract - 127 from all the dances and you have the total for knew
NONE of the dances= 11
Am I correct so far? If so we need to go on after you draw the correct Venn diagram for me if you will , PLEASE... The next set in this equation is.....
To take my answers and do a SET BUILDING NOTATION .... ( I have no idea how to do this step!)
Please help, I am at a total loss, if I fail this grade it will knock me off the HONOR ROLL!
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! I have drawn my Venn diagram for the following problem using 3 circles: I used to label my circles A, B, C, D, E,. The information I was given is as follows:
Survey of 127 dancers,
83 knew Ballroom dances,
74 knew Latin dances,
47 knew Swing dance,
--------------------
28 knew both ballroom and swing, and
16 knew all three dances.
======================================
I had to draw my Venn diagram to refect this information, which I have done.
a)= How many knew ONLY the ballroom dance?
b)= How many knew ONLY the Latin dance?
c)= How many knew exactly one of the 3 dances?
d)= How many knew the Latin and Swing dances, but NOT the ballroom dances?
e)= How many knew NONE of these dances?
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My answers are: 16 knew all 3 - so I put them in where the 3 circles overlap.
28 knew both ballroom and swing... 28-16=12
29 knew Swing and Latin..29-16=13
47 knew ballroom and Latin 47-16=31
47 knew Swing ONLY 47-12-16-13=6
74 knew Latin ONLY 74-31-16-13=14
83 knew Ballroom ONLY 83-12-16-31=24
a)=24
b)=14
c)= add DISABLED_event_ONLY= 44
d)= add Latin and Swing ONLY and's=33
e)= subtract - 127 from all the dances and you have the total for knew
NONE of the dances= 11
Am I correct so far? If so we need to go on after you draw the correct Venn diagram for me if you will , PLEASE... The next set in this equation is.....
To take my answers and do a SET BUILDING NOTATION .... ( I have no idea how to do this step!)
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Please search online using Google; search for "mathematics set buider notation".
Cheers,
Stan H.
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