Answer:
a. The Venn diagram is explained in the attached word file. 
0.61                                     
b. Not independent
Step-by-step explanation:
a. The hypothetical 1000 table for given situation is
                                           Adult(A)        Not Adult (not A)        Total
Travel outside (T)                 610                170                               780
Not Travel outside (not T)	110                110                               220
Total                                 720                280                               1000
P(Adult and travel outside)=P(A and T)=610/1000=0.61
b. Multiplication rule for independent events is 
P(A and B)=P(A)*P(B)
P(A and T)=0.61
P(A)*P(T)=0.72*0.78=0.56
As P(A and T) is not equal to P(A)*P(T), so event "being an adult" and "travel outside" are not independent.
 
        
             
        
        
        
x = 4
A line with an undefined slope is a vertical line parallel to the y-axis and passing through all points with the same x-coordinate. For this reason it's equation is x = c where c is the value of the x-coordinate it passes through.
line passes through (4, 3 )
Hence equation is x = 4
 
        
             
        
        
        
67.50 divided by 2.50 = 27,
So 27 videos were rented, hope this helps!
        
             
        
        
        
Answer:
b.
821.9 cube meters
Step-by-step explanation:
 
        
             
        
        
        
This can be solved a couple of ways. One way is to use the Pythagorean theorem to write equations for the magnitude from the components of the forces. That is what was done in the graph here.
Another way is to use the Law of Cosines, which lets you make direct use of the angle between the vectors.
.. 13 = a^2 +b^2 -2ab*cos(90°)
.. 19 = a^2 +b^2 -2ab*cos(120°)
Subtracting the first equation from the second, we have
.. 6 = -2ab*cos(120°)
.. ab = 6
Substituting this into the first equation, we have
.. 13 = a^2 +(6/a)^2
.. a^4 -13a^2 +36 = 0
.. (a^2 -9)(a^2 -4) = 0
.. a = ±3 or ±2
The magnitudes of the two forces are 2N and 3N, in no particular order.