There are 91 eighth-grade students signing up for electives.
1 answer:
Answer:
A). 81 students
B). 18 students
C). 10 students
Step-by-step explanation:
Let S = {All students of 8th grade} = 91
A = {Students in Art} = 68
B = {Students in band} = 31
Part A : A∪B = A + B - A∩B
A∪B = 68 + 31 - 18
A∪B = 81
A∪B represents the total number of students enrolled in art and band.
Part B : A∩B = 18
A∩B represents the number of common students enrolled in art and band.
Part C: ~(A∪B) = S - A∪B
~(A∪B) = 91 - 81
~(A∪B) = 10
~(A∪B) represents the number of students enrolled neither in art nor in band.
You might be interested in
Answer:
Manuel would be correct, the volumes would be equal.
Step-by-step explanation:
The formulae for finding the volume of pyramids and cones both include dividing three (multiplying by ).
Square pyramid formula: ×B×h where B is the area of the base. By plugging in numbers we have that B=314.159 and h=5. 314.159×
×5=523.5983.
Cone formula: The basic formula is the same: ×B×h, but the area of the base is found using the circle formula of π×r². For the cone we have B=314.159 and h=5. 314.159×
×5=523.5983.
Since both of these formulas came up with the same answer, we can conclude that Cone W has the same volume as Pyramid X, which is Manuel's answer.