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IceJOKER [234]
3 years ago
6

PLEASE HELP! The length of time a full length movie runs from opening to credits is normally distributed with a mean of 1.9 hour

s 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.
Mathematics
1 answer:
Jobisdone [24]3 years ago
4 0

Answer:

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:

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shepuryov [24]

Answer:

let mother's age y and daughter age x

a/q y=3x and y-5=5x-25

put y in second eq we get x=10 &y=30(their present age)

7 0
3 years ago
What kind of triangle is abc. Select all that apply. Geometry
pshichka [43]

Answer:

Right, Isosceles

Step-by-step explanation:

The side lengths of this triangle : 2√8 2√5 2√5

Scalane triangle has all side lengths in different measure but in this triangle we have two side lengths equal

Right triangle has a right angle with 90° and the square measure of hypotenuse is equal to sum of the square length of two side lengths in this triangle since 2√5 + 2√5 = 2√8 we can say that this is a right triangle.

Isosceles triangle are triangles with two side lengths equal to each other

Equilateral triangles are triangles with all side lengths equal to each other but we know one of the side length in this triangle is different

so the answer is Right and Isosceles.

6 0
3 years ago
Which answer is correct
andre [41]

Hello from MrBillDoesMath!

Answer:

The first choice,  Pi + (-Pi) = 0

Discussion:

Pi is an irrational number. Saying the irrational numbers <u>are</u> closed under addition means if we add two irrational numbers we will get another irrational number. In our case, Pi + (-Pi) = 0, which is correct, BUT 0 is a <u>rational </u>number. This shows the set of irrational numbers is NOT closed under addition.

Thank you,

MrB

7 0
3 years ago
The Mary boat cruise line charges a non-refundable fee of $150 and a fee of $280 a day on the cruise ship. The Billy Boat cruise
White raven [17]
You would set it up like this: 150x + 280 = 255x The you just solve.
8 0
3 years ago
Use the quadratic formula to solve x2 + 2x - 120 = 0. Think about what other method could also be used to solve this equation. a
pshichka [43]

Answer:

x = 10 , -12

Step-by-step explanation:

Solution:-

- The given quadratic equation is to be solved using the quadratic formula. The general form of a quadratic equation is:

                           ax^2 + bx + c =0  

Where, [ a , b and c are constants ]

- The quadratic formula is given as:

                       

                           x = \frac{-b+/-\sqrt{b^2 - 4*a*c} }{2a}

- The given equation is:

                             x^2 + 2x - 120 = 0

Where, a = 1 , b = 2 , c = -120

- Solve using quadratic formula:

                       x = \frac{-2+/-\sqrt{2^2 - 4*1*(-120)} }{2*1}\\\\x = \frac{-2+/-\sqrt{4 + 480} }{2}\\\\x = \frac{-2+/-(22) }{2}\\\\\\x = 10 , -12    

7 0
3 years ago
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