Given that every fifteenth person in line will get a coupon for a free box of popcorn at the movies, what is the probability that you don’t get a coupon when you’re in line? Enter a fraction or round your answer to 4 decimal places, if necessary.

Answers

Answer 1

Answer:

We know that every 15th person gets a free box of popcorn.

This depends on order, but nobody knows what is his actual position, so we can assume that:

of 15 people, 1 will get a free box of popcorn.

Then the probability of getting free popcorn is:

1/15

And the negation, (the probability of not getting a free box) is:

1 - 1/15 = 14/15 = 0.93...

Answer 2

The probability of not getting a free box is, [tex]\frac{14}{15}[/tex]

Probability :

Given that, from 15 people, 1 will get a free box of popcorn.

Then the probability of getting free popcorn is:

                                 [tex]P(E)=\frac{1}{15}[/tex]

the probability of not getting a free box is,

           [tex]P=1-P(E)\\\\P=1-\frac{1}{15}=\frac{14}{15}[/tex]

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Related Questions

Torque (or moment) is the measure of turning force or twist on an object. If a mechanic is applying 12 Newton centimeters of torque on a bolt how many pound inches would this be?

Answers

Answer:

1.0638

Step-by-step explanation:

Given the question:

If a mechanic is applying 12 Newton centimeters of torque on a bolt how many pound inches would this be?

Torque = 12 Newton centimeter

Torque which is the turning effect on an object :

1 Newton = 0.225 pound force

1 centimeter = 0.394 inch

Hence ;

1 Newton centimeter = (1 × 0.225 × 0.394) = 0.08865 pound inch

12 Newton centimeter is hence, equals :

(12 × 0.225 × 0.394) pound inch

= 1.0638 pound inch

write 24.23 as a mixed number in simplest form

Answers

24.23 =

24 23/100

It doesn't simply because 23 is a prime number.

Answer:

24 23/100

Step-by-step explanation:

Graph 5x + 3y = 15 on a graph ​

Answers

You need to find the equation of y=Mx+b

Answer is y=-5/3x+5

Brainliest?

I WILL GIVE BRAINLIEST
6r3 + 3r3 − r2 =

Answers

Answer:

r²(9r-1)

Step-by-step explanation:

I did my work on a paper so I'm sorry i cant show you the work but i hope this helped

Answer:

r²(9r - 1)

Step-by-step explanation:

6r³ + 3r³ - r²

= 9r³ - r²

factorize by divide each by r²

= r²(9r - 1)

The formula for the volume of a cone is V = 1/3 bh
Solve v = 1/3 bh for b, the base of the cone.
A. b= 3h/v
B. b= v/3h
C. b= h/3v
D. b= 3v/h​

Answers

Answer:

D. B=3v/h

Step-by-step explanation:

V = bh

multiply both sides by 3 to eliminate the fraction

3V = bh ( divide both sides by h )

B= 3v/h

The expression for the b is b = 3V/h if the formula for the volume of a cone is V = (1/3)bh option (D) is correct.

What is a cone?

It is defined as a three-dimensional shape in which the base is a circular shape and the diameter of the circle decreases as we move from the circular base to the vertex.

[tex]\rm V=\pi r^2\dfrac{h}{3}[/tex]

It is given that:

The formula for the volume of a cone is:

V = (1/3)bh

To solve for b:

The expression can be defined as the combination of constants and variables with mathematical operators.

Make the subject as b:

V = (1/3)bh

On cross multiplication:

3V = bh

Divide by h on both the sides:

3V/h = bh/h

b = 3V/h

Thus, the expression for the b is b = 3V/h if the formula for the volume of a cone is V = (1/3)bh option (D) is correct.

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Convert the equation 3x^2+3y^2+6x+24y=9 to the standard form of a circle

Answers

Answer:

3 x 2 + 3 y 2 + 6 x = 0

A 35-foot ladder is leaning against the side of a building and is positioned such that the base of the ladder is 21 feet from the base of the building. How far above the ground is the point where the ladder touches the building?​

Answers

Answer:

Step-by-step explanation:

27 mm converted to in m

Answers

1.063 inches

0.027 meters

hope it helps!

8 1/3 in 10 minutes

find unit rate

Answers

Umm it the unit rate is

A positive number divided by a negative number will result in a ___ quotient.

Answers

it will result in a negative quotient

Answer:

a negative quotient.

59 in = how many feet and inches

Answers

Answer:

feet=4.91667

inches=708

Step-by-step explanation:

Answer:

4 ft. 11 in.

Step-by-step explanation:

Step 1:

59 ÷ 12

Step 2:

4   r 11

Answer:

4 ft. 11 in.

Hope This Helps :)

Please help this math problems

Answers

Answer:

1)85

2)-3

3)-5

4)98

5)2

6)-3

7)-5

8)-1

9)-4

10)2

11)535

Step-by-step explanation:

What is the degree of the polynomial

Answers

I believe the degree of the polynomial is 3 because that is the highest exponent

Describe the difference in how the pie chart and the Pareto chart show patterns in the data. Choose the correct answer below.
O A. The pie chart shows the percentages as parts of the whole. The Pareto chart shows the rankings of the seasons.
OB. The pie chart shows the individual responses. The Pareto chart shows the distribution of the seasons.
O C. The pie chart shows the distribution of the seasons. The Pareto chart shows the individual responses.
OD. The pie chart shows the rankings of the seasons. The Pareto chart shows the percentages.
Click to select your answer.

Answers

Answer:

A. The pie chart shows the percentages as parts of the whole. The Pareto chart shows the rankings of the seasons.

Step-by-step explanation:

hope this helps

A pie chart shows the percentages as parts of the whole. The Pareto chart shows the rankings of the seasons.

What is a pie chart?

"A pie chart is a circular statistical graphic, which is divided into slices to illustrate numerical proportion. In a pie chart, the arc length of each slice is proportional to the quantity it represents."

What is a Pareto chart?

"A Pareto chart is a type of chart that contains both bars and a line graph, where individual values are represented in descending order by bars, and the cumulative total is represented by the line."

Therefore, a pie chart shows the percentages as parts of the whole. The Pareto chart shows the rankings of the seasons.

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4.88 + 1.6*
What is the answer

Answers

Answer:

6.48 is the answer.

Find two decimals that are equivalent to (4x10)+(7x1/100)

Answers

Answer:

4.700 and 4.70

Step-by-step explanation:

step one:

Since the number is basically a representation of numbers to the powers of 10,  that is the place value of each digit corresponds to the power of 10

step two:

now given the expression

(4x10)+(7x1/100)

this can be written as

4.700

and this Could also be equivalent to

4.70 and 4.7 since

Solve
y
= x2 + 23 for x.
O A. x= y - 23
O B. = +Jy + 23
O C. X = +VÝ - 23
D. X = y +23

Answers

Answer:

x = ±√(y - 23)

Step-by-step explanation:

y  = x^2 + 23 may be solved for x as follows:

Subtract 23 from both sides, to isolate x^2:

x^2 = y - 23

Take the square root of both sides.   We get:

x = ±√(y - 23)


In 0.356, which digit is in the thousandths place?

Answers

Answer:

6 is in the thousandths place

Step-by-step explanation:

Solve for x : 3xyz= P

Answers

Answer:

x = P/yz

Step-by-step explanation:

You just divide the left side by yz

help meeee Simplify 7(A - 6).

Answers

Answer:
7A-42

Explanation;
Use the distributive property and multiply A and -6 by 7.

I hope this helps!

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{7A - 42}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{7(A \: - 6)}[/tex]

Distribute 7 through the parentheses

[tex] \longmapsto{ \sf{7 \: ∗ \: A \: - 7 \: ∗ \: 6}}[/tex]

[tex] \longmapsto{ \sf{7A \: - 42}}[/tex]

Hope I helped!

Best regards ! :D

~TheAnimeGirl

Can anyone help me with my algebra homework please ?

Answers

Answer:

She will practice 2.5 for week four

Step-by-step explanation:

The table is going by 0.5 so I added 0.5 +2 =2.5

Please complete the venn diagram and list how many elements are in each region thanks :)

Answers

Answer:

5

Step-by-step explanation:

Region I = n(A) - n(A union B) - n(A uniton C) + region V

              = 24 - 10 - 15 + 6

              = 5

If f(2) = 12 and f '(x) ≥ 3 for 2 ≤ x ≤ 5, how small can f(5) possibly be?

Answers

Answer:

21

Step-by-step explanation:

From our previous knowledge, if f'(x) = m ,

Then f(x) = mx+c

For a smaller value of f(5), m should be the smallest possible integer if m = 3

i.e. f(x) = 3x+c

replacing the value of x with 2 given from the question to get the value of c, we have:

f(x) = 3x+c

f(2) = (3×2)+c

where; f(2) = 12

12 = 6+c

- c = -12 + 6

- c = - 6

c = 6

Now, f(x) can now be;

f(x) = 3x + 6

f(5) = (3×5)+6

f(5) = 15 + 6

f(5) = 21

Therefore, smallest possible value of f(5) is 21

Isaac is making soft pretzel nuggets. His recipe says that, after he makes the dough, he should divide it into 8 equal pieces. Then, he needs to roll each piece into a 2-foot-long rope and cut it into nuggets. If he decides to make each pretzel nugget 1 inch long, how many can he make in all?

Answers

Answer:

The answer to your question is 192 pretzels

Step-by-step explanation:

Data

number of pieces = 8

length of each piece = 2 ft

length of each pretzel = 1 in

number of pretzels = x

Process

1.- Convert ft to in

                        1 ft --------------- 12 in

                         2 ft --------------- x

                         x = (2 x 12) / 1

                         x = 24 ft

2.- Divide the length of each piece by the length of each pretzel

                       24/1 = 24 pretzels per piece

3.- Multiply the number of pretzels per the number of pieces

                       24 x 8 = 192 pretzels

lauren 3.26 lunch on Tuesday she spent 3.56 on Wednesday and 3.29 on thurday order the prices from greatest to least

Answers

Answer:3.56, 3.29, 3.26

Step-by-step explanation:3.56 is bigger than 3.29 and 3.29 is bigger than 3.26

find the inverse function of g(x) = sqrt x-7

Answers

the inverse is x²+7
.......

The inverse of g(x) is x² + 7

What is a function?

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

What is an inverse function?

The inverse function is defined as a function obtained by reversing the given function.

To determine the inverse of a function, all you have to do is switch where x and y are and resolve for y.

We have to find the inverse of the function below :

g(x) = √(x-7)

So after switching x and y,

g(x) = y = √(x - 7)

becomes

x = √(y - 7)

Now, we solve for y regularly.

g(x) = y = √(x - 7)

Solve for y :

⇒ y² = x - 7

⇒ x² = y - 7

⇒ y = x² + 7

Therefore the inverse of g(x) is x² + 7

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is 3.45445554 rational or irrational?

Answers

Answer:

3.45445554 is irrational.

Hope this helps!

Please can you mark as Brainliest!

Step-by-step explanation:

Answer:

[tex]3.45445554[/tex]

Rational number ✔️

rational number is the number that can form a fraction

The summit of a mountain pass is 8,050 ft above sea level. the valley below is 12 and 1/2 ft below sea level. what is the vertical distance between the summit and the valley

please please help me ​

Answers

Answer:

Vertical distance between the valley and the summit = 8062.5 ft

Step-by-step explanation:

Distances above the sea level are denoted by positive notations and below the sea level by negative notation.

Summit of a mountain pass = 8050 (above the sea level)

Valley below the sea level = 12 and half ft = (-12.5) ft

Distance between the summit and the valley = 8050 - (-12.5)

                                                                           = 8050 + 12.5

                                                                           = 8062.5 ft

Therefore, Vertical distance = 8062.5 ft will be the answer.

If 1 gallon of paint covers 300 square feet, how many gallons
are needed for a room 30' long x 20' wide x 12' high?

Answers

The answer should be 24

To cover the room of given dimensions 4 gallons of paint is needed.

What is an Area?

The area of a two-dimensional figure is defined as the amount of space covered by the shape in a two-dimensional plane.

Given that 1 gallon of paint covers 300 square feet, there is a room of dimensions 30' long x 20' wide x 12' high

Surface area of room = 2(l+b)*h

= 2(30+20)*12

= 1200 in²

1 gallon for 300 in², therefore 1200/300 =4 gallons for 1200 in²

Hence, To cover the room of given dimensions 4 gallons of paint is needed.

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Chelsea earned $85
while babysitting. She
spent $42 on gas for her
car and $17 on dinner
with a friend. How much
money does she have
now?

Answers

Answer:

$85-$42-$17=$26

Step-by-step explanation:

I guess I was help full for u

plz follow me for more updates

subtract 85-42-17 to get a total of $26
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