Answer:
A and B are not independent
Explanation:
Given
[tex]P(A) = .3,[/tex]
[tex]P(B) = .5[/tex]
[tex]P(A\ n\ B) = .25[/tex]
Required
Determine if A and B are independent
If A and B are independent, then:
[tex]P(A\ n\ B) = P(A) * P(B)[/tex]
Substitute values for P(A) and P(B)
[tex]P(A\ n\ B) = .3 * .5[/tex]
[tex]P(A\ n\ B) = .15[/tex]
The calculated value of P(A n B) and the given value of P(A n B) are not equal.
i.e.
[tex].15 \ne .25[/tex]
Hence, A and B are not independent
One face of a cube-shaped package has an area of 5 square inches. What is the lateral
surface area of the package?
Answer:
LSA of a cube = 100 in²
Explanation:
Let the area of the cube be a.
Given the following data;
a = 5 in²
To find the lateral surface area;
We know that a cube has four faces and as such the lateral surface area would be the area of the four faces.
Lateral surface area (LSA) of a cube = 4a²
Substituting into the equation, we have;
LSA of a cube = 4*5²
LSA of a cube = 4*25
LSA of a cube = 100 in²
Therefore, the lateral surface area of the package is 100 square inches.
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