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Finish labeling the number of elements in the regions in the Venn diagram shown to the right, where the subsets
A, B, and C of the universe, U, satisfy the following conditions.
n(U) = 100
n(ANB) = 14
n(A) = 40
n(BNC) = 13
n(B) = 50
n(ANC) = 14
n(C)= 30
n(ANBNC) = 7
q=
S=
t=
V=
w=
X=

Finish labeling the number of elements in the regions in the Venn diagram shown to the right where the subsets A B and C of the universe U satisfy the following class=

Respuesta :

KinglyO

Answer:

t=14

v=13

q=12

s=23

w=-4

x=28

Step-by-step explanation:

we know that the universal set =100

so, everything in it must add up to 100

first, from the information given to us,

t= n(A n C)= 14

v=n(B n C)= 13

to find q

we know from our guide that n(A) =40

which means everything inside A will add up to 40

therefore,

q + 7 + 7 + t = 40

and we already know that t = 14

so, that will be;

q + 7 + 7 + 14 = 40

therefore, q = 12

to find s,

we all know that n(B) = 50

which means that everything inside B will be equal to 50

therefore,

s + 7 + 7 + v = 50

and we know that v = 13

therefore,

s + 7 + 7 + 13 = 50

and s will end up to be = 23

to find w,

we know that n(C) = 30

so, everything in C end up to be all equal to 30

therefore,

t + 7 + w + v = 30

from our solution, t = 14, v = 13

so,

14 + 7 + w

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