Answer:
46 housewives read all three magazines.
Step-by-step explanation:
Given:
n(A) = 150
n(B) = 200
n(C) = 156
n(A∩B) = 48
n(B∩C) = 60
n(A∩C) = 52
n(A∪B∪C) = 300
so we know the relation as:
n(A∪B∪C) = n(A) + n(B) + n(C) - n(A∩B) - n(B∩C) - n(A∩C) + n(A∩B∩C)
∴ n(A∩B∩C) = n(A) + n(B) + n(C) - n(A∩B) - n(B∩C) - n(A∩C) - n(A∪B∪C)
= 150 + 200+ 156 - 48 - 60 - 52 - 300
= 46
Hence the number of housewives that had read all three magazine is 46.
Answer:
n= 11/24
Step-by-step explanation:
hope it helps
Answer: 17/22
Step-by-step explanation:
The volume of the rectangular prism is
![V=B\times H](https://tex.z-dn.net/?f=V%3DB%5Ctimes%20H)
Where:
B is the base area
H is the height
Since the base area is 160 feet^2
Since the volume is 1360 feet^3
Substitute them in the rule above
![\begin{gathered} 1360=160\times H \\ 1360=160H \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%201360%3D160%5Ctimes%20H%20%5C%5C%201360%3D160H%20%5Cend%7Bgathered%7D)
Divide both sides by 160 to find H
![\begin{gathered} \frac{1360}{160}=\frac{160H}{160} \\ 8.5=H \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cfrac%7B1360%7D%7B160%7D%3D%5Cfrac%7B160H%7D%7B160%7D%20%5C%5C%208.5%3DH%20%5Cend%7Bgathered%7D)
The height of the container is 8.5 feet
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