Step-by-step explanation:
the max. value is when the smaller set (A) is completely contained in the larger set (B).
then n(A n B) is n(A) = 50.
the set intersection between A and B cannot get bigger than that. or A gets bigger ...
after all, the intersection means it is a set of all elements that exist in BOTH sets.
but then there must be other elements besides A and B in the universal set too, because n(universal set) = 96, and n(A u B) would be only 60.
the min. value could be the empty set or 0. but because n(universal set) = 96, and n(A) + n(B) = 110 and larger than 96, it means that there have to be some shared elements. at least 110 - 96 = 14 elements.
in this case there cannot be other elements in the universal set than A and B. and n(universal set) = n(AuB) = 96.
Answer:
8
Step-by-step explanation:
Each month your hair grows .5 inches
The cost of the bottle alone costs $1.15, and the cork costs $0.05, you add them together and you get $1.20. That is how the bottle costs $1.20.
Use the Cosine Rule to find this
cos <B = [b^2 - a^2 - c^2] / -2ac
= [ 4^2 - 10^2 - 11^2] / -2*10*11
= 0.93182
so m < B = 21.3 degrees to nearest tenth. Answer