Answer: Events A and B are independent.
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Explanation:
Note how,
P(A)*P(B) = 0.5*0.2 = 0.1
which matches exactly with P(A and B) = 0.1
Therefore,
P(A and B) = P(A)*P(B)
is a true statement. This further leads to events A and B being independent.
Answer:
9.42 cubic inches
Step-by-step explanation:
We are to find the volume of the cone.
The formula is given as:
1/3πr²h
From the question,
Diameter = 3 inches, Radius = D/2 = 3/2
r = 1.5 inches
h = 4 inches
Hence, the volume of the cone =
1/3 × π × 1.5² × 4
= 9.42 cubic inches
Therefore, the filter can hold 9.42 cubic inches of liquid without overflowing.
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