7.6k views
5 votes
Fill out the venn diagram

Fill out the venn diagram-example-1
User Chenoa
by
8.1k points

2 Answers

5 votes
⇒Fill 15 to the intersection of X,Y,Z (X∩Y∩Z), I use green color to fill the blank on this part.

⇒Determine the number in the intersection of X and Y after excluding (X∩Y∩Z). Do the same for the intersection of X and Z, and for the intersection of Y and Z.
Intersection X and Y
(X∩Y) - (X∩Y∩Z) = 25 - 15 = 10
Intersection X and Z
(X∩Z) - (X∩Y∩Z) = 22 - 15 = 7
Intersection Y and Z
(Y∩Z) - (X∩Y∩Z) = 22 - 15 = 7
Fill the blank, I use blue color

⇒ Determine X, Y, and Z after excluding all the intersection
X = |X| - |X∩Y| - |X∩Z| - |X∩Y∩Z|
X = 42 - 10 - 7 - 15
X = 10

Y = |Y| - |X∩Y| - |Y∩Z| - |X∩Y∩Z|
Y = 39 - 10 - 7 - 15
Y = 7

Z = |Z| - |X∩Z|- |Y∩Z| - |X∩Y∩Z|
Z = 40 - 7 - 7 - 15
Z = 11

I fill with purple color

⇒ Last, fill outside the venn diagram
72 - all numbers on the venn diagram
= 72 - 10 - 10 - 7 - 15 - 7 - 7 - 11
= 5
I fill with pink color

Refer to image attached
Fill out the venn diagram-example-1
User Kamil Kamili
by
6.1k points
5 votes
how tho man ?? is this math
User Vedran Jukic
by
6.2k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.