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alekssr [168]
3 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]3 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.

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Find the solution set of the following equations: <br><br>2y=2x+7<br><br>X=y+2
kirill115 [55]

Answer:

The system of equations has no solution.

Step-by-step explanation:

Given the system of equations

2y = 2x+7

x = y+2

solving the system of equations

\begin{bmatrix}2y=2x+7\\ x=y+2\end{bmatrix}

Arrange equation variables for elimination

\begin{bmatrix}2y-2x=7\\ -y+x=2\end{bmatrix}

Multiply -y+x=2 by 2:  -2y+2x=4

\begin{bmatrix}2y-2x=7\\ -2y+2x=4\end{bmatrix}

so adding

-2y+2x=4

+

\underline{2y-2x=7}

0=11

so the system of equations becomes

\begin{bmatrix}2y-2x=7\\ 0=11\end{bmatrix}

0 = 11 is false, therefore the system of equations has no solution.

Thus,

No Solution!

3 0
3 years ago
What is the coefficient of the first term in the expression 8x+3y+4
GrogVix [38]

Answer:

d

Step-by-step explanation:

the first term is 8x. 8 is the coefficient and x is the base. so the answer is 8.

5 0
3 years ago
Ben paid $45 for an old guitar he cleaned the guitar, then resold it after marking the price 15% he used 36% of the money he got
andrey2020 [161]

Answer:it’s $18.63

Step-by-step explanation:

($45+.15($45)).36

3 0
2 years ago
Read 2 more answers
PLEASE HELP ILL GIVE A BRAINLIEST
zavuch27 [327]
Guessing you meant by a factor of 3... not 13 since none of the solutions are anywhere close to that.

to compress is to smoosh.
It's the equation of a line. If you smoosh it vertically the line becomes flatter and the slope smaller. 

Essentially g(x) = 3f(x)
3y = 12x + 6
y = (12/3)x + 6/3
y = 4x + 2

8 0
3 years ago
The sum of Bobbi's and Dan's heights is 130 inches. Dan's height subtracted from 3 times Bobbi's height is 118 inches. What are
Xelga [282]

Answer:

Dan = 68

bobbi = 62

Step-by-step explanation:

Let Bobbi's height = b

Let Dan's height = d

the following equations can be determined from the question

b + d = 130  eqn 1

3b - d = 118  eqn 2

Multiply eqn 1 by 3

3b + 3d = 390  eqn 3

Substract eqn 2 from 3. this gives

4d = 272

d = 68

Substitute for d in eqn 1

b + 68 = 130

b = 62

6 0
2 years ago
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