Part (a)
P(A) = 0.5
P(B) = 0.4
P(B/A) = 0.6
P(A and B) = P(A)*P(B/A)
P(A and B) = 0.5*0.6
P(A and B) = 0.3
<h3>Answer: 0.3</h3>
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Part (b)
We'll use the result from part (a)
P(A or B) = P(A) + P(B) - P(A and B)
P(A or B) = 0.5 + 0.4 - 0.3
P(A or B) = 0.6
<h3>Answer: 0.6</h3>
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Part (c)
A and B are not independent since P(B) does not equal P(B/A). The fact that event A happens changes the probability P(B). Recall that P(B/A) means "probability P(B) based on event A already happened". A and B are independent if P(B) = P(B/A).
Events A and B are not mutually exclusive since P(A or B) is not zero.
<h3>Answer: Neither</h3>
Answer:
x=-5
Step-by-step explanation:
Combine like terms: 7x-11=-46
Add 11 to -46: -35
Divide: 7x/-35
ANSWER: x=-5
Remember to do PEMDAS so your answer is not correct, since you multiplied before doing the parentheses/exponents.
Explanation:
3(3)^2- 5(4)
= 3(9) - 5(4)
= 27 - 20 = 7
Answer:
There are no triangles given, so I will explain what congruent triangles are.
Step-by-step explanation:
Two triangles are said to be congruent if the three sides and the three angles of both the angles are equal in any sense.
Consider the following conditions for two triangles:
- Two angles and corresponding side, of the two triangles are equal
- Two sides and angle between the two triangles are equal
- Hypotenuse and Leg of two right angled triangles are equal.
If all these conditions are met for any two triangles, they are said to be congruent.
