Question2 Explain what a line of symmetry is.
2 answers:
A line of symmetry is a line that divides a figure into two parts such that each part is the mirror image of the other. In other words, if we flip one side of the figure over the line of symmetry, it should match up <em>exactly</em> with the other side.
Let's look at a 2 examples.
In the first image provided, notice that if we flip the left side of the figure over the right side, the two sides will not match up so this is not a line of symmetry.
In the second image, if we flip the left side of the line on to the right side, it matches up exactly so it's a line of symmetry.
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Answer:
We have that .
So
However, b is a probability, which means that it cannot be negative. So no, P(A ∩ B) cannot be 0.5. It can, at most, be 0.3.
Step-by-step explanation:
Event A:
Probability that a student has a Visa card.
Event B:
Probability that the student has a MasterCard.
We have that:
In which a is the probability that a student has a Visa card but not a MasterCard and is the probability that a student has both these cards.
By the same logic, we have that:
In this problem, we have that:
(a) Could it be the case that P(A ∩ B) = 0.5?
We have that .
So
However, b is a probability, which means that it cannot be negative. So no, P(A ∩ B) cannot be 0.5. It can, at most, be 0.3.