When attending a movie, patrons are interested in avoiding the pre-movie trivia games, ads, and previews. It is known that the previews begin at the scheduled movie start time and they last between 5 and 15 minutes. Assume that the time of the previews is uniformly distributed. What is the probability that on a given day the previews last between 10 and 12 minutes

Answers

Answer 1

Answer:

0.2 = 20% probability that on a given day the previews last between 10 and 12 minutes

Step-by-step explanation:

A distribution is called uniform if each outcome has the same probability of happening.

The uniform distributon has two bounds, a and b, and the probability of finding a value between c and d is given by:

[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]

It is known that the previews begin at the scheduled movie start time and they last between 5 and 15 minutes.

This means that [tex]a = 5, b = 15[/tex]

What is the probability that on a given day the previews last between 10 and 12 minutes?

[tex]P(10 \leq X \leq 12) = \frac{12 - 10}{15 - 5} = \frac{2}{10} = 0.2[/tex]

0.2 = 20% probability that on a given day the previews last between 10 and 12 minutes


Related Questions

Find the missing exponent.
100
Stubmit

Answers

Answer:

10^2

Step-by-step explanation:

10*10 =100

let f:A=B such that f(x)=y and g:B=C such that g(y)=z.name the function defined from A to C.​

Answers

Answer:

since g:B→C is onto

suppose z∈C,there exists a pre-image in B

Let the pre-image be y

Hence y∈B such that g(y)=z

similarly f:A→B is onto

suppose y∈B,there exists a pre-image in A

Let the pre-image be x

Hence x∈A such that f(x)=y

Now gof(x)=g(f(x))=g(y)=z

So for every x in A,there is an image z in C

Help mmmmmmmmmmemmmemeeeee

Answers

Answer:

P-E-M-D-A-S

Step-by-step explanation:

Ok, so start with what i call "P-E-M-D-A-S"

P: parentheses | Also known as these: ( )

E: exponents | Its a small number by another number, like the 3 on your screen

M: Multiply | Also Known as   x or a dot

D: Divide | i forgot how to make it

A: Add | also known as +

S: Subtract | also known as -

now go in order to solve it, it makes it much more easy!

Answer:

49 is your answer

Step-by-step explanation:

let's do b-pemdas

brackets

parentheses

e(I forgot the name for it but it's basically a small number next to the big number)

Multiply

Divide

Add

Subtract

you do the equation in that order

so

2+8•7-(3^2)

we focus on (3^2)

that's 3•3 which equals to 9

so now the equation is

2+8•7-9

Now we focus on 8•7 which equals to 56

the equation now looks like

2+56-9

you then add 56 to 2 which equals to 58 and then subtract 9 from it so it should look like this

2+56=58

58-9= 49

and 49 is your answer

hope this help!!!

if you would give me brainliest that would help a lot!!

The perimeter of a rectangle is 62cm.if the length of the rectangle is 24cm,what is tge width of the rectangle

Answers

Answer:

b= 7

Step-by-step explanation:

here's your solution

=> perimeter of rectangle = 62 cm

=> length = 24 cm

=> let width be (b)

=> perimeter of rectangle = 2(l + b)

=> 2(l + b ) = 62

=> 2(24 + b) = 62

=> 48 +2b = 62

=> 2b = 62 - 48

=> 2b = 14

=> b = 14/2

=> b = 7

hope it helps

A convex polyhedron has faces that consist of 30 squares, 20 triangles, and 12 pentagons. The polyhedron has 120 edges. How many vertices does it have?

Euler’s formula: V + F = E + 2

a:60
b:92
c:122
d:180
THE ANSWER IS A:60 ON EDGE 2021

Answers

D)))))) which is 180

Answer:

THE ANSWER IS D 180

Step-by-step explanation:

THE PERSON WHO MADE THIS QUESTION IS WRONG, PLS TRUST

What is 25 x 65 / 73?

Answers

25x65=1625

1625/73=22.26

y = 2x + 7
y = -3x - 33
Solve using the Substitution Method

Answers

Answer:

-8

Step-by-step explanation:

What are some tips for the SAT math section?

Answers

Answer:

You should study hard and look through the test first to answer the ones you do know and then go back to the ones you don't know. Also if you use any methods or anything related to help with math try to use those through. Therefore try your best and just prepare for it, and always have supplies.

a village school starts at 8.30am and end at 3.45pm.how long is the school day

Answers

7 hours and 15 minutes

Answer:

7 hours and 15 minutes.

Step-by-step explanation:

Draw a timeline for this question.

8.30 + 7 hours = 3.30pm or 15 30

3.30 + 0.15 minutes = 3.45 or 15 45

7 hours + 0.15 minutes = 7 hours and 15 minutes.

which of the following doesn't describe a point?​

Answers

Answer:

It has infinite length, but no width and no thickness (It describes a Line )

Hope it helps...

Have a great day :P

If it has an infinite length but no width Does not describe a point

A cone has a radius of 10 meters and a height of 5 meters. What is the volume of the cone to the nearest cubic meter? Use 3.14 for

Answers

Answer:

523.3

Step-by-step explanation:

The volume of a cone is 1/3 hB where h is the height and B is the area of the base.

Step 1: Find the area of the base (B). The base of a cone is a circle so use the formula pi*r^2. Plug in numbers. 3.14*10^2. 3.14*100=314

Step 2: Plug into the formula. 1/3(5*314) --> 1/3(1570)=523.3

523 meters cubed (rounded to nearest cubic meter)
(Full answer is 523 1/3)

The average price for a gallon of gasoline in Germany is $5.57 and in France it is $5.54. Assume these averages are population averages in two countries, and that the probability distributions are normally distributed with the standard deviation of $.35 in Germany and standard deviation of $.25 in France. What is the probability that a randomly selected gas station in France charges more than $5.30 per gallon?

Answers

Answer:

0.8315 = 83.15% probability that a randomly selected gas station in France charges more than $5.30 per gallon

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The average price for a gallon of gasoline in France is $5.54. The standard deviation is $.25.

This means that [tex]\mu = 5.54, \sigma = 0.25[/tex]

What is the probability that a randomly selected gas station in France charges more than $5.30 per gallon?

This is 1 subtracted by the pvalue of Z when X = 5.30. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{5.3 - 5.54}{0.25}[/tex]

[tex]Z = -0.96[/tex]

[tex]Z = -0.96[/tex] has a pvalue of 0.1685

1 - 0.1685 = 0.8315

0.8315 = 83.15% probability that a randomly selected gas station in France charges more than $5.30 per gallon

Write an equation in point-slope form of the line that passes through (-3,2) and (6, -1).

Answers

Answer:

9 I think.

Step-by-step explanation:

Bethany is a biologist who has been measuring and recording the rabbit population at a park over the last several years. She has noticed that a trigonometric function can model the population, which reaches a maximum population, m, each summer and a minimum population, n, each winter. If she uses to represent the rabbit population t years from the start of her study, what is the domain of function p?

Answers

Answer:

[0,∞)

Step-by-step explanation:

Answer:

[0,∞)

Step-by-step explanation:

Correct on Plato!

which expression is equivalent to the given expression (3m^2n)^3/mn^4

Answers

Answer:

Step-by-step explanation:

[tex]\frac{(3m^2n)^3}{mn^4}\\ \\ \frac{27m^6n^3}{mn^4}\\ \\ \frac{27m^5}{n}\\ \\ \text{ or if you want to use negative exponents}\\ \\ 27m^5n^{-1}[/tex]

Hmm is this the whole question ?

AB =
Round your answer to the nearest hundredth.
A
50°
B
2
с

Answers

Answer:

50.04

Step-by-step explanation:

Answer: 3.11

Step-by-step explanation:

khan academy hint.

Find the x and y for numbers 2 and. 3 thank you

Answers

Answer:

(0, 4 ) and (2, - 4 )

Step-by-step explanation:

(2)

3x + 4y = 16 → (1)

- 3x + 2y = 8 → (2)

Adding (1) and (2) term by term will eliminate the x- term

0 + 6y = 24

6y = 24 ( divide both sides by 6 )

y = 4

Substitute y = 4 into either of the 2 equations and solve for x

Substituting into (1)

3x + 4(4) = 16

3x + 16 = 16 ( subtract 16 from both sides )

3x = 0 , then

x = 0

solution is (0, 4 )

(3)

2x - 4y = 20 → (1)

5x + 4y = - 6 → (2)

Adding (1) and (2) term by term will eliminate the y- term

7x + 0 = 14

7x = 14 ( divide both sides by 7 )

x = 2

Substitute x = 2 into either of the 2 equations and solve for y

Substituting into (2)

5(2) + 4y = - 6

10 + 4y = - 6 ( subtract 10 from both sides )

4y = - 16 ( divide both sides by 4 )

y = - 4

solution is (2, - 4 )

Jack had $25. He went to the grocery store and bought a few things. When he paid, he got $8 change.
How much money did he spend

Answers

Answer:

17$

Step-by-step explanation:

25-8=17

A rod is sliding down the side of a wall such that the height is decreasing at a rate of 5 inches per second. If the rod is 174 inches long, what is the rate of change of the distance between the bottom of the rod and the base of the wall when the height is 35 inches?

Answers

Answer: The rate of change of the distance between the bottom of the rod and the base of the wall when the height is 35 inches = 1.02675 inches per second.

Step-by-step explanation:

Let h = height, x= distance between the bottom of the rod and the base of the wall.

Given: [tex]\dfrac{dh}{dt}[/tex] = 5 inches per second

Consider the diagram (given in the attachment below):

By Pythagoras theorem, we have

[tex](174)^2=h^2+x^2\ \ (i)\\\\$$30276=35^2+x^2 \ \ \ [h=35 \ in.]\\\\ 30276=35^2+x^2 \\\\ 30276=1225+x^2\\\\ x^2=30276-1225\\\\ x^2 = 29051 \\\\ x=\sqrt{29051}\approx170.447 in.[/tex]

Differentiate both sides of (i) w.r.t t, we get

[tex]0=2x\dfrac{dx}{dt}+2h\dfrac{dh}{dt}\\\\\dfrac{dx}{dt}=\dfrac{-h}{x}\dfrac{dh}{dt}[/tex]

[tex]\dfrac{dx}{dt}=\dfrac{-35}{170.44}(-5)=1.02675\text{ inches per second }[/tex]

Hence,  the rate of change of the distance between the bottom of the rod and the base of the wall when the height is 35 inches = 1.02675 inches per second.

Please solve these system of equations using elimination. Random answers or links will be reported.
1. 6x+2y=40
8x+3y=47

2. 6x+5y=34
6x+6y=27

3.8x+2y=64
6x+3y=34

4.5x+5y=26
8x+3y=36

5. 6x+3y=36
4x+5y=46

6. 2x+9y=41
8x+4y=36

Answers

Answer:

1. x = 13 , y = − 19

2.x=23/2,y=-7

3.x=31/3,y=-28/3

4.x=102/25,y=28/25

5.x=7/3,y=22/3

6.x=5/2,y=4

Step-by-step explanation:

I hope this helped!

Answer:

1. x = 13 , y = − 19

2.x=23/2,y=-7

3.x=31/3,y=-28/3

4.x=102/25,y=28/25  

5.x=7/3,y=22/3

6.x=5/2,y=4

Step-by-step explanation:

I hope this helps!

plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

y=x+2

Step-by-step explanation:

The question that is asked...

Answers

Answer:

ps is perpendicular to line ur.

angle pvr is 90°

12x+3x=90°

15x=90°

x=90°/15

x=6

by putting value of x

12x=72°

Infinity cost $100,000. The sale is 60% off, then additional 40% off. How much would it cost after all sales applied?

Answers

after all sales applied it would be $24

Luella has a pond in her yard. She wants to surround it with 330 feet of fencing. Fencing is sold by the yard. How many yards should she buy?​

Answers

Answer:

110 yards

330/ 3 ,=110

1yard =3 feet

Step-by-step explanation:

if you multiply 3 to 110=330

or 330 divided by 3=110 yards.

There are 120 cars in a grocery store parking lot. The probability that a car selected at random is white is 1/8. How many of the cars in the parking lot are white?

A. 8
B. 15
C. 30
D. 105

Answers

Answer:

B

Step-by-step explanation:

Theoretically it is 120/8=15

A Hertz Rent-a Car is a car agency charges $40 for one day plus $0.10 per mile to rent a full size car. Enterprise Rent-A-Car charges $18 for one day plus $0.20 cents per mile to rent the same car. How many miles could you drive in one day that would result in the final bill to be the same from both companies?

Answers

Answer: 220 miles

Step-by-step explanation:

Let's write the equations for each case:

A Hertz Rent-a Car:

Charges a fixed amount of $40, plus a $0.10 per mile.

Then if you drive x miles, we get a total cost of:

C(x) = $40 + $0.10*x

Enterprise Rent-A-Car:

Chares a fixed amount of $18 plus $0.20 per mile, so if you drive x miles, the cost is:

K(x) = $18 + $0.20*x

Now, we want to find how many miles you can drive such that you would pay the same in both companies.

Then we need to find x such that:

C(x) = K(x)

$40 + $0.10*x = $18 + $0.20*x

Let's solve this for x.

$40 - $18 = $0.20*x - $0.10*x

$22 = ($0.20 - $0.10)*x

$22 = $0.10*x

$22/$0.10 = x

220 = x

So if you drive exactly 220 miles, you would pay the same in both companies.

In a bag filled with 200 M&M's, 80 are yellow. What percent is yellow?

Answers

Answer:

40% i think

Step-by-step explanation:

Answer: 40%

Step-by-step explanation:

Divide 80 by 200 and you get 0.4

Multipy 0.4 by 100 and u get 40 which is your answer

i need help right now!!!!

Answers

Answer:

look at the picture i sent...........

Toni bought 5 t-shirts for $35 . Each shirts cost the same amount

Answers

Answer:

35/5 =7 dollars

7$ 35 divided by 5 =7

7) Find 18th term of the arithmetic sequence:
{13, 8, 3, -2, -7, ...}

Tysm

Answers

13-8=5

8-5=3

3-5=-2

-2-5=-7

etc.

Just keep subtracting 5 until you have the 18th term

---

hope it helps

Answer:

-77

Step-by-step explanation:

Reasoning:

Every step is decreasing by 5, therefor you will do 13-5 18 times. this will get you -77

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