sides of any polygon with obtuse angles.
How many sides do I have?
and what shape is it? is it a triangle?
a) The probability that the ball drawn is red is approximately 0.4615
b) If the ball drawn is red, the probability that it came from urn A is approximately 0.7222.
To calculate the probabilities, we can use the following formulas:
a) Probability of drawing a red ball (R):
P(R) = (Number of red balls) / (Total number of balls)
b) Probability that the ball came from urn A given that it is red (R|A):
P(R|A) = (Probability of drawing a red ball from urn A) / (Probability of drawing a red ball)
Let's calculate both probabilities:
a) Probability of drawing a red ball:
Total number of red balls = 5 (Urn A) + 4 (Urn B) + 3 (Urn C) = 12
Total number of balls = 5 (Urn A) + 7 (Urn A) + 4 (Urn B) + 3 (Urn B) + 3 (Urn C) + 4 (Urn C) = 26
P(R) = 12 / 26 ≈ 0.4615
b) Probability that the ball came from urn A given that it is red:
P(R|A) = (Probability of drawing a red ball from urn A) / (Probability of drawing a red ball)
P(R|A) = (5 / 12) / (12 / 26) = (5 / 12) * (26 / 12) ≈ 0.7222
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Answer:
1. 12/26, or simplified as 6/13, or about 46%.
2. 5/26, or about 19%.
Answer:
The answer is 14 acually
Step-by-step explanation:
If we slice this down the middle and fit it together like a puzzle we'll get a rectangle base 9.6/2 and height 4.8+9 so area (9.6/2)(4.8+9) = 66.24 square units.
Choice d
Think of the area divided into two parts.
A rectangle, 4.8 units by 9.6 units,
and a triangle with base 9.6 units and height 9 - 4.8 = 4.2 units.
Find the areas of the rectangle and triangle and add them.
Rectangle:
A = LW = 4.8 * 9.6 = 46.08
Triangle:
A = bh/2 = 9.6 * 4.2/2 = 20.16
Add the areas:
46.08 + 20.16 = 66.24
Answer: d. 66.2 units^2