Answer:
- 0.26
- 0.91
- 1.43
Step-by-step explanation:
given data 
mean = 1.9 hours
standard deviation = 0.3 hours
solution 
we get here first  random movie between 1.8 and 2.0 hours
so here
P(1.8 < z < 2 )
z = (1.8 - 1.9) ÷ 0.3
z = -0.33
and 
z = (2.0 - 1.9) ÷ 0.3
z = 0.33
z = 0.6293
so 
P(-0.333 < z < 0.333 )
=  0.26 
so random movie is between 1.8 and 2.0 hours long is 0.26
and 
A movie is longer than 2.3 hours.
P(x > 2.3) 
P(  >
  >  )
 ) 
P (z  >  )
  ) 
P (z  > 1.333  ) 
= 0.091
so chance a movie is longer than 2.3 hours is 0.091
and 
length of movie that is shorter than 94% of the movies is 
P(x > a ) = 0.94 
P(x <  a ) = 0.06 
so 
P(  <
 <   )
 )
 
 
a = 1.43
so length of the movie that is shorter than 94% of the movies about 1.4 hours.
 
        
             
        
        
        
Time taken by a regular bus to reach its destination = 3 1/4 hours
                                                                                   = 13/4 hours
Time taken by the express bus to make the same trip = 2 1/2 hours
                                                                                       = 5/2 hours
Time that can be saved by taking the express bus = (13/4) - (5/2) hours
                                                                                 = (13 - 10)/4 hours
                                                                                 = 3/4 hours
So 3/4 hours can be saved by taking the express bus rather than the regular bus. The correct option among all the options given in the question is option "C". I hope the procedure is simple enough for you to understand.
        
                    
             
        
        
        
I think the answer is (2x - 9)(x - 5)