If events A and B are independent,
For mutually exclusive then p(A or B) = p(A) + p(B).
For not mutually exclusive then p(A or B) = p(A) + p(B) - p(A and B)
And: p(A and B) = p(A) * p(B)
Given: <span>p(A) = 0.22 and p(B) = 0.24.
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<span>∴ p(A and B) = p(A) * p(B) = 0.22*0.24 = 0.0528
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If A and B are mutually exclusive
∴ p(A or B) = p(A) + p(B) = 0.22 + 0.24 = 0.46
If A and B are not mutually exclusive
∴ p(A or B) = p(A) + p(B) - p(A and B) = 0.22 + 0.24 - <span>0.0528 = 0.4072
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note: Two events are mutually exclusive if it is not possible for both of them to occur, which mean the occurrence of one event "excludes" the possibility of the other event.
This question is incomplete. Please find attached to this solved question, the diagram required to solve this question.
Answer:
11 units
Step-by-step explanation:
The shaded portion of the rectangle forms the shape of a trapezium
The area of a trapezium = 1/2(a + b)h
From the diagram, we can see than x = b
a = 7 units
b = 7 units
Area of the trapezium = Area of the shaded portion = 63 square units
A = 1/2(a + b)h
63 = 1/2(7 + b)7
63 = 1/2(49 + 7b)
63 × 2 = 49 + 7b
126 - 49 = 7b
7b = 77
b = 77/7
b = 11 units
Since x = b, x = 11 units
Answer:
I think its 25 (proceed with caution)
Step-by-step explanation:
15×4=60 so basically 6.25×4=25
6.25 = 6 1/4
Answer:
x = 
Step-by-step explanation:
Given
19 -
= 7 ( subtract 19 from both sides )
-
= - 12
Multiply both sides by - 4 to clear the fraction and the negative signs
5x + 6 = 48 ( subtract 6 from both sides )
5x = 42 ( divide both sides by 5 )
x = 