3 men and 5 women are in a room. A person is chosen at random to give a speech. What is the probability that a woman was chosen
2 answers:
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Answer:
The correct option is D)
Step-by-step explanation:
Consider the provided figure.
We need to find the probability that a random leaf that lands on the rectangle lands within the section shaped like a trapezoid.
For this first find the total area as shown:
The given figure is a rectangle.
The area of rectangle is
Where, l = 6 cm + 3 cm = 9 cm and b = 5cm
Therefore the area of the rectangle is;
Area of rectangle =
Now find the area of trapezoid.
The area of trapezoid is:
Where h is the height and a and b are the parallel sides.
Area of trapezoid =
Thus, the area of trapezoid is 30 cm.
Therefore, the probability that a random leaf that lands on the rectangle lands within the section shaped like a trapezoid is:
Hence, the correct option is D)