Answer: B
Step-by-step explanation:
 
        
             
        
        
        
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>
==========================================
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>
===========================================
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:
all three angles should add up to 180 so subtract what you know from 180 and you should be able to find everything from there
 
        
             
        
        
        
Answer:
common denominator is 40
Step-by-step explanation:8x5=40
10x4= 40
3x5=15
3x4=12
15/40 and 12/40
 
        
             
        
        
        
Answer:
B. 68°
Step-by-step explanation:
Since, opposite sides of the quadrilateral MNPQ are parallel. 
Therefore, it is a parallelogram. 
Measures of the opposite angles of a parallelogram are equal. 
So, 
(6x - 2)° = (4x + 36)°
6x - 2 = 4x + 36
6x - 4x = 36 + 2
2x = 38
x = 38/2
x = 19
