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Answer:

Step-by-step explanation:
Assuming that a fair die is rolled.
- The sample space is 1, 2, 3, 4, 5, 6 and all the outcomes are equally likely.
Let X be the set of all possible outcomes. Let A be an outcome.
So, the probability that A occurs is:

As the set of all possible outcomes of the roll of a single die is:

Observe that

Here
because 8 is not in the set sample space. So, the outcome of occurring the number 8 is not possible from the all possible outcomes.
So, the probability must be zero.
In other words,


Therefore,

The answer is A because a sample of 500 boys and girls from middle schools across the state represents the population.
Answer:
The answer is below
Step-by-step explanation:
The volume of a cuboid is the product of its length, height and breadth. It is given by:
Volume = length × breadth × height
Since the volume is given by the expression 12y² + 8y - 20. That is:
Volume = 12y² + 8y - 20 = 4(3y² + 2y - 5) = 4(3y² + 5y - 3y -5) = 4[y(3y + 5) -1(3y + 5)]
Volume = 4(y-1)(3y+5)
Or
Volume = 12y² + 8y - 20 = 2(6y² +4y - 10) = 2(6y² + 10y - 6y -10) = 2[y(6y + 10) -1(6y + 10)]
Volume = 2(y-1)(6y+10)
Therefore the dimensions of the cuboid are either 4, y-1 and 3y+5 or 2, y-1 and 6y+10