1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
alekssr [168]
2 years ago
10

The length of time a full length movie runs from opening to credits is normally distributed with a mean of 1.9 hours and standar

d 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
Mathematics
1 answer:
Margarita [4]2 years ago
3 0

Answer:

  1. 0.26
  2. 0.91
  3. 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( \frac{x-\mu }{\sigma}  > \frac{2.3-\mu }{\sigma} )

P (z  > \frac{2.3-1.9 }{0.3}  )

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( \frac{x-\mu }{\sigma } <  \frac{a-\mu }{\sigma } )

\frac{a-1.9 }{0.3 } = -1.55

a = 1.43

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

You might be interested in
If she steals 100 buys 70 worth of stuff owner gives u 30 back how much did owner lose
Nata [24]
Owner would lose out on $100
5 0
3 years ago
PLSS HELP ME THE QUESTION AND EVERYTHING IS ABOVE what is the slope of the line and y intercept
AURORKA [14]

Answer:

C

Step-by-step explanation:

It is C. Have a great day!

6 0
3 years ago
marlene is painting square tiles for a project.each tile has a perimeter of 16 in.what is the length of each side.
elixir [45]

Answer:

64 i hope im right

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Bryant collects a set of 20 data representing the lengths of worms he found in the garden. The variance of the set of measuremen
Varvara68 [4.7K]

Answer:

6 millimeters

Explanation:

The standard deviation is the square root of the variance.

Since the variance is 36, the standard deviation would be

√36 = 6

4 0
3 years ago
Read 2 more answers
Elizabeth’s aunt started a college savings account for her with $6,000. What is the balance of the account after 5 years if the
vaieri [72.5K]

Answer:

6750

Step-by-step explanation:

simple interest = P×r%×t

P = $6000

r = 2.5%

t = 5 years

I = 6000 × 2.5/100 × 5

= 750

6000 + 750 = $6750

7 0
2 years ago
Other questions:
  • Five notebooks cost $20 at this rate how much would 4 notebooks coat?
    7·2 answers
  • What is a large metal pot used for cooking over a fire? Hoax, Cauldron, Phantom?
    7·2 answers
  • 29<br> 6. Calculate the hourly rate of a person who works 40<br> hours for a wage of $387.20.
    11·2 answers
  • I need help with this please<br><br> f(x) = x^2 - 5x - 1
    8·1 answer
  • 3. Consider the equation 4t +10=34
    7·2 answers
  • -5.2k+2.9 =-12k+30.1<br>Please show work !
    15·1 answer
  • To clear both of the fractions from fox + 7 = 5 – x, we can multiply both sides of
    10·1 answer
  • When Ranim started karate, her highest kick went 110^\circ110 ∘ 110, degrees from the ground. Her instructor asked her to practi
    7·1 answer
  • 3(x+9)-4x=11x-13x+23
    6·1 answer
  • The side length of Tom's square garden was 36 At. He used; of
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!