What is the formula to find the probability of the union of two events, P(M ∪ N)?
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1.
FLASHCARD QUESTION
Front
Back
P(M ∪ N) = P(M) + P(N) - P(M ∩ N) where P(M) is the probability of event M and P(N) is the probability of event N.
2.
FLASHCARD QUESTION
Front
How do you calculate the scale factor for a dilation?
Back
The scale factor k is calculated by comparing the coordinates of the original points and the dilated points: k = (new coordinate) / (original coordinate).
3.
FLASHCARD QUESTION
Front
What is the volume of a cylinder?
Back
The volume V of a cylinder is given by the formula V = πr²h, where r is the radius and h is the height.
4.
FLASHCARD QUESTION
Front
What is the relationship between the base angles of an isosceles triangle?
Back
In an isosceles triangle, the base angles are equal.
5.
FLASHCARD QUESTION
Front
What does the transformation rule (x,y) → (1/2 x, -1/2 y) do to a shape?
Back
This transformation scales the x-coordinate by 1/2 and the y-coordinate by -1/2, effectively reducing the size of the shape and reflecting it across the x-axis.
6.
FLASHCARD QUESTION
Front
What is the formula for the volume of a hemisphere?
Back
The volume V of a hemisphere is given by the formula V = (2/3)πr³, where r is the radius.
7.
FLASHCARD QUESTION
Front
What is the definition of complementary angles?
Back
Complementary angles are two angles whose measures add up to 90 degrees.
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