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:

12

step-by-step explanation:

a triangle's   full angle is 180 degrees so 180 - 156 = 24. 24/2=12

54 kilometers per hour

step-by-step explanation:

according to rules:

1 km = 1000 meter

which means that 1 meter = 1/1000 km

1 hour = 3600 second [ as 1 hour = 60 min = 60 *60 seconds ]

which means that 1 second = 1/3600 hour

therefore, 1 kilometer/hour =

thus to convert 15 meter per second to kilometer per hour, we multiply 15 to 3.6 kilometer/hour.

15 meter/second=   which is the required answer.