PLEASE HELP! The length of time a full length movie runs from opening to credits is normally distributed with a mean of 1.9 hours and standard deviation of 0.3 hours. Calculate the following: A random movie is between 1.8 and 2.0 hours. A movie is longer than 2.3 hours. The length of movie that is shorter than 94% of the movies.

A random movie is between 1.8 and 2.0 hours.

z=1.8-1.9/0.3= -0.33= 0.3707

z=2.0-1.9/0.3= 0.33= 0.6293

0.6293-0.3707= 0.2586

Therefore, the chance a random movie is between 1.8 and 2.0 hours long is 0.2586.

A movie is longer than 2.3 hours.

z=2.3-1.9/0.3 =1.33 =0.9082

1-0.9082= 0.0918

Therefore, the chance a movie is longer than 2.3 hours is 0.9082.

The length of movie that is shorter than 94% of the movies

z=x-1.9/0.3= 0.94

z=x-1.9/0.3= 1-0.94= 0.06

=x-1.9/0.3= 0.06= -1.56

x= 1.432

Therefore, the length of the movie that is shorter than 94% of the movies about 1.4 hours.  

Step-by-step explanation:

the first one is x^2+2x+2

the second one is x^2+4

the last one is x^2-4x+8

thats not a system of equations, that is a solution