Finn, Michael, and Chris are going to have a movie night this weekend. Together, they have 31


movies. If they decide to randomly choose three movies, what is the probability that the three they choose will consist of each of their favorite movies? Assume they have different favorites. Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth

Answers

Answer 1
— How would you determine the value of each pile? Think about the dime pile—how much is it worth? If you count the number of dimes, you'll know ...

Answer 2

The probability that the three they choose will consist of each of their favorite movies is 1/29791.

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

It is given that:

Finn, Michael, and Chris are going to have a movie night this weekend. Together, they have 31 movies.

Total number of outcomes = 31

They choose three movies out of 31

Let us assume that  Finn, Michael, and Chris have 1 favorite movie out of 31.

The probability that the three they choose will consist of each of their favorite movies:

= (1/31)(1/31)(1/31)

= 1/29791

Thus, the probability that the three they choose will consist of each of their favorite movies is 1/29791.

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Related Questions

Calculate the mean and median of: 202, 199, 223, 198, 223, 223, 301, 199.

Answers

Answer:

mean =225.25, median= 212.5

Step-by-step explanation:

You add all the numbers and divided by the total numbers to get mean, and for get the median you need to put them in order and get the number that is between all the number it be the 202 and 223 so you divide the two number with two and it will be 212.5

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A frequency generator sends a 550 Hz sound wave through both water and ice. A 3 column by 4 row table. Column 1 is titled Medium and includes the following entries: Ice, Water, Steam. Column 2 is titled Temperature (degrees Celsius) and includes the following entries: 0, 25, 100. Column 3 is titled Speed of Sound (meters per second) and includes the following entries: 3200 meters per second, 1500 meters per second, 346 meters per second. What is the difference in wavelength between the wave produced in ice and the wave produced in water? 2. 1 m 3. 1 m 5. 2 m 8. 5 m.

Answers

The difference in wavelength between the wave produced in ice and the wave produced in water is 3.1 m. Then the correct option is B.

What is wavelength?

The distance between two successive troughs or crests is known as the wavelength. The peak of the wave is the highest point, while the trough is the lowest.

The wavelength is also defined as the distance between two locations in a wave that have the same oscillation phase.

A frequency generator sends a 550 Hz sound wave through both water and ice.

The wavelength is given as

[tex]\lambda = \dfrac{v}{f}[/tex]

f = frequency

v = velocity

Then the wavelength in the water will be

[tex]\rm \lambda _w = \dfrac{1500}{550}\\\\\lambda _w = 2.73[/tex]

The wavelength in the ice will be

[tex]\rm \lambda _I = \dfrac{3200}{550}\\\\\lambda _I = 5.82[/tex]

Then the difference in wavelength between the wave produced in ice and the wave produced in water will be

[tex]\rightarrow \lambda _I - \lambda_w \\\\\rightarrow 5.82 - 2.73 \\\\\rightarrow 3.09 \approx 3.1[/tex]

Thus, the difference in wavelength between the wave produced in ice and the wave produced in water is 3.1 m.

More about the wavelength link is given below.

https://brainly.com/question/7143261

Answer:

3.1

Step-by-step explanation:

B

A box is in the shape of an equilateral triangular prism. if the box is to be covered with paper on its lateral sides, how many square inches of paper are needed?

Answers

The total surface area of the triangular prism that has a height of h and the side length of a is given below.

[tex]\rm a(\dfrac{\sqrt3}{2} \ a + 3h)[/tex]

What is a triangular prism?

A triangular prism is a closed solid that has two parallel triangular bases connected by a rectangle surface.

A box is in the shape of an equilateral triangular prism.

If the box is to be covered with paper on its lateral sides.

Let a be the side length of the equilateral triangle and h be the height of the prism.

Then the surface area of the triangular prism will be

Surface area = 2 × area of triangle + 3 × area of the rectangle

The area of the triangle will be

[tex]\rm Area\ of\ triangle = \dfrac{\sqrt{3}a^2}{4}[/tex]

The area of the rectangle will be

[tex]\rm Area \ of \ rectangle = a \ h[/tex]

Then the total surface area will be

[tex]\rm Surface\ area = 2 \times \dfrac{\sqrt3 a^2 }{4} + 3 ah\\\\\\Surface\ area = a(\dfrac{\sqrt3}{2} \ a + 3h)[/tex]

More about the triangular prism link is given below.

https://brainly.com/question/21308574

Answer:

72 square inches

Step-by-step explanation:

Find the surface area of the solid figure

Answers

Answer:

150

Step-by-step explanation:

area of your base (bh/2) 3x8/2 = 12

2 bases = 24

3 faces ---- Face1 - 7x5= 35 ------Face2 - 7x5 = 35 ------Face3 - 8x7 = 56

24 + 35 + 35 + 56 = 150

Find the next three terms of the sequence 2000 ,200, 20 … and write the term to term rule.​

Answers

Answer:

2 is the next number in the sequence

Step-by-step explanation:

in this pattern, you go down by one decimal spot ( zero)

this is a geometric sequence since there is a common ratio between each term.

Will give brainliest, thanks, and 5 stars! LOTS OF POINTS! 50 POINTS!

I need help with these questions! Please help me. The choices are all true/false.

Please help me!!!!!!

Please provide in depth explanation too!!

Answers

Answer in order:

False

True

False

False

False

False

False

True

True

Step-by-step explanation:

All of the solutions to the equation[tex]3x^2 - 12 = 0[/tex]are x = 12 and x = -12

Solve:

Common factor - [tex]3(x^2-4)=0[/tex]

Divide both sides

[tex]x^2-4=0[/tex]

Use the quadratic formula

[tex]x=\sqrt{4,x}=\sqrt{-4[/tex]

x = 2, x = -2

Thus, This is false..

-------------------------------------------------------------------------------------------------------------

There are two unique solutions to the equations (x-3)^2 = 16

one variable in matrix = one possible value.

Therefore, x = 7, x = -1

Hence this is True

-------------------------------------------------------------------------------------------------------------

The solutions for the equation 2(x-3)^2-18 = 0 are x = 6 and x = 0

[tex]2x^3-18x^2+54x-72=0[/tex]

[tex]x=5.080084[/tex]

Hence this is false

-------------------------------------------------------------------------------------------------------------

The solutions for the equation 2(x-5)^2-8=0 are x = 7 and x = -7

Add both sides by 8

2(x-5)^2-8+8=0+8

2(x-5)^2=8

(x-5)^2=4

x = 7, x = 3

Hence, this is false

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The solutions for the equation (x + 3)^2-25 = -8 are x = 2 and x = -8

[tex](x+3)^2=17[/tex]

[tex]x=\sqrt{17-3,}=-\sqrt{17}-3[/tex]

Hence this is false.

-------------------------------------------------------------------------------------------------------------

The solutions for the equation 2(2x-1)^2=18 are x = 5 and x = -4

[tex](2x-1)^2=9[/tex]

x=2, x = -1

Hence this is false.

-------------------------------------------------------------------------------------------------------------

The only solution for equation (2x-1)^2-49=0 is x = 4

[tex](2x-1)^2=49[/tex]

x = 4, x = -3

Hence, this is false

-------------------------------------------------------------------------------------------------------------

The solutions for the equation 3(x+2)^2 - 3 = 0 are x = -3 and x = -1

[tex]3(x+2)^2=3[/tex]

[tex](x+2)^2=1[/tex]

x = -1, x = -3

Hence, this is true

-------------------------------------------------------------------------------------------------------------

The solutions for the equation 5x^2 - 180 = 0 are x = 6 and x  = -6

Add 180 to both sides

[tex]5x^2-180+180=0+180[/tex]

[tex]5x^2 = 180[/tex]

[tex]x^2 = 36[/tex]

[tex]x=\sqrt{36},x=-\sqrt{36}[/tex]

x = 6, x = -6

Hence, this is true.

-------------------------------------------------------------------------------------------------------------

[RevyBreeze]

Answer the questions about the following polynomial. 1- x³/8​

Answers

the expression represents a quadratic polynomial with 2 terms.The constant term is 1, the leading tern is x and the leading coefficient is 1

6. The circle in the center of basketball court is being painted. The circle has a radius of 9 feet. What is the circumference of the circle? Leave your solution in terms of pi.​

Answers

Answer:

18pi

Step-by-step explanation:

Circumference = 2 Pi R

c = 2 x 9 x Pi

c = 18Pi

help please
on the image.​

Answers

Answer:

  the women won 1 fewer matches than the men

Step-by-step explanation:

In a pie chart, the fraction of the total that is represented by any sector is the ratio of the angle subtended by that sector to 360°.

__

For the men's team, the winning games represent 150°/360° = 5/12 of all games played. The men played 24 games, so they won ...

  5/12 × 24 = 10 . . . . games won

__

For the women's team, the winning games represent 180°/360° = 1/2 of all games played. The women played 18 games, so they won ...

  1/2 × 18 = 9 . . . . games won

The number of matches won by the men is larger than the number of matches won by the women. (Yes, the women won a larger fraction of their matches played, but not a larger number.)

Help with any questions

Answers

1.) right triangle, as it has a right angle

2.) scalene triangle no equal sides

hope this helps

EASY GIVING BRAINLIEST JUST GRAPH TO FIND ANSWER While warming up for a game, two basketball players shoot balls in parabolic paths. The path of the first player's ball can be represented by the function g(x) = –2x2 + 13x + 7, where x represents the distance from the coach. The path of the second player's ball can be represented by the function h(x) = –x2 + 4x + 21.

Part A: Find the distances in which the two basketball paths will cross. Show all necessary calculations.

Answers

Answer:

  2 ft, 7 ft

Step-by-step explanation:

We are interested in the values of x such that g(x) = h(x). These will be solutions of the difference g(x) -h(x) = 0. Hence the x-intercepts of a graph of g(x) -h(x) will be solutions to the problem.

__

The graph shows the difference between the paths will be zero at distances of 2 feet and 7 feet.

On Thursday the cows at the Putnam Dairy produced 70 bottles of milk. Friday, the cows produced 5/8 as much milk as on Thursday. How many bottles of milk did the cows produce on Friday?

Answers

the answer is a on edge

At a concession stand 6 hot dogs cost $6.72. At this rate, how much would 8 hot dogs cost, in dollars and cents?

Answers

Answer:

$8.96

Step-by-step explanation:

Since 6 hot dogs are $6.72, 1 hot dog would be that divided by 6, which is $1.12. Now we want the cost of 8 of those hot dogs, so we have to multiply by 8. Hence the answer is $1.12 * 8 = $8.96.

The left and right y-axes are in opposite directions because:.

Answers

A high proportion of one allele of a gene indicates a low proportion of the other.

how many solutions does 8B + 7v - 5 equals -11 + 15b​

Answers

Answer: No solutions

- by graphing-

         First I will simplify:

8B + 7v - 5 equals -11 + 15b​

8b + 7v - 5 = -11 + 15b​

7v = -6 + 15b​

7v = -6 + 7b​

         Let's graph this and see what happens!

-> I will graph y = 7x and y = 7x - 6

-> See attached.

-> Since there are no points of intersection (they have the same slope), there is no solutions.

What are the zeros of this function?

A. x=0 and x=6
B. x=0 and x= -9
C. x=0 and x= -6
D. x=3 and x= -9

Answers

Answer:

A

Step-by-step explanation:

The zeros are the roots or x-intercepts

They are located at coordinate points (0, 0) and (6, 0)

This means the answer is A

Hope it makes sense!

Answer:

A. x = 0 and x = 6

Step-by-step explanation:

So, the zeroes of a quadratic are the parts of it that touch the x-axis. When you find those parts, take their x value and you will get the zero.

So, in this parabola, it touches the x-axis at (0, 0) and (6, 0).

The x-values of these are 0 and 6, respectively.

The price of a cup of coffee has risen to 2.35$ today , yesterday’s price was 2.20$ . Find the percentage increase. Round your answer to the nearest tenth of a percent.

Answers

Answer:

3.1%

Step-by-step explanation:

2.20/2.35 = 3.1%

Have an amazing day!!

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A teacher used the change of base formula to determine whether the equation below is correct. (log Subscript 2 Baseline 10) (log Subscript 4 Baseline 8) (log Subscript 10 Baseline 4) = 3 Which statement explains whether the equation is correct? The equation is correct since (log Subscript 2 Baseline 10) (log Subscript 4 Baseline 8) (log Subscript 10 Baseline 4) = log (2 times 10) times log (4 times 8) times log (10 times 4). = log (20) times log (32) times log (40). =3 The equation is correct since (log Subscript 2 Baseline 10) (log Subscript 4 Baseline 8) (log Subscript 10 Baseline 4) = StartFraction log 10 Over log 2 EndFraction times StartFraction log 8 Over log 4 EndFraction times StartFraction log 4 Over log 10 EndFraction. = StartFraction log 8 Over log 2 EndFraction. = 3 The equation is correct since (log Subscript 2 Baseline 10) (log Subscript 4 Baseline 8) (log Subscript 10 Baseline 4) = StartFraction log 10 Over log 2 EndFraction times StartFraction log 8 Over log 4 EndFraction times StartFraction log 4 Over log 10 EndFraction. = StartFraction log 8 Over log 2 EndFraction. = 4. The equation is not correct since (log Subscript 2 Baseline 10) (log Subscript 4 Baseline 8) (log Subscript 10 Baseline 4) = log StartFraction 10 Over 2 EndFraction times log eight-fourths times log four-tenths. = log 5 times log 2 times log 0. 4. = negative 0. 8.

Answers

The solution to the problem is correct and the correct option from the given options is B.

What is Logarithm?

A log function is a way to find how much a number must be raised in order to get the desired number.

[tex]a^c =b[/tex]

can be written as

[tex]\rm{log_ab=c[/tex]

where a is the base to which the power is to be raised,

b is the desired number that we want when power is to be raised,

c is the power that must be raised to a to get b.

For example, let's assume we need to raise the power for 10 to make it 1000 in this case log will help us to know that the power must be raised by 3.

The given logarithmic problem can be solved in the following manner, therefore,

[tex]\rm log_210\ log_48\ log_{10}4\\\\[/tex]

Using the logarithmic properties, we can write,

[tex]=\rm \dfrac{log10}{log2}\cdot \dfrac{log8}{log4}\cdot \dfrac{log4}{log10}\\\\[/tex]

Now cancelling out the values we will get,

[tex]=\rm \dfrac{log2^3}{log2}\\\\=\rm \dfrac{3log2}{log2}\\\\= 3[/tex]

Thus, the solution to the problem is correct and the correct option from the given options is B.

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Answer:

B

Step-by-step explanation:

on edge

A car used 1/81 of a gallon of gas to drive 1/4 of a mile. At this rate, how many miles can the car travel using 1 gallon of gas? ??????????

Answers

Step-by-step explanation:

1/81 gallon for 1/4 mile.

what do I need to multiply 1/81 with to get 1 gallon ?

it is simple, right ? i need to multiply it by 81 to get 1 gallon.

in order to keep the relationship (ratio) unchanged, I need to multiply the other part (1/4 mile) with the same factor :

1/4 × 81 = 81/4 = 80/4 + 1/4 = 20 1/4 miles

so, at this rate, that car can travel 20 1/4 miles using 1 gallon of gas.

i need helppppppppppppppppppppppppppppppppppppppp

Answers

Please give brainliest
1 equals 3 over 4
2 equals 1 over 6
3 equals 1 over 5
4 equals 1 over 3
5 equals 5 over 11
6 equals 1 over 4
7 equals 1 over 5
8 equals 1 over 9
9 equals 2 over 5
10 equals 1 over 3

Approximately how many grams of radium will remain after 4 grams have decayed for 2400 years

Answers

Answer:

1.4

Step-by-step explanation:

HELP ME PLEASE
I HATE THE BOTS

How many times more is 2 ^ 10 than 2^ 6
Answer Choices
12
16
8

Answers

Answer:

16

Step-by-step explanation:

Evaluate the two in order to compare them.

2^10=2*2*2*2*2*2*2*2*2*2=1024

2^6=2*2*2*2*2*2=64

The question says how many more TIMES. This tells us that we need to see how many times does 64 go into 1024. To do this, divide 1024/64=16

The answer is 16! Hope this helps ^^

The terminal side of an angle measuring StartFraction pi Over 6 EndFraction radians intersects the unit circle at what point?.

Answers

Thee intersection point of the terminal side which measure the angle pi/6 radians  is (0.886, 0.5).

What is the meaning of a circle?

A circle is a special type of ellipse in which the eccentricity is zero and the two foci are coincident.

The distance from the center to the circumference is called the radius of the circle.

Given that  the terminal side of an angle measuring π/6 radians.

The coordinate point on the circle has to be find out It is known that, the formula for the coordinate is given by

x = r cos∅   and y = r sin∅

Let the r be unity.

Then, x will be

[tex]x=\frac{\pi }{6} \\x=cos(\frac{\pi }{6}) \\\x=0.866[/tex]

The variable y will be

[tex]y=sin\frac{\pi }{6}[/tex]

y=0.5

Thus, the intersection point is (0.886, 0.5).

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i need help with this

Answers

Answer:

A tangent to a circle is a straight line which touches the circle at only one point.  Therefore, if [tex]x=2y+5[/tex] is a tangent of [tex]x^2+y^2=5[/tex] then there will be one point of intersection.

To find the point of intersection, substitute [tex]x=2y+5[/tex] into [tex]x^2+y^2=5[/tex] and solve for y:

[tex]\implies (2y+5)^2+y^2=5[/tex]

[tex]\implies 4y^2+20y+25+y^2=5[/tex]

[tex]\implies 5y^2+20y+20=0[/tex]

[tex]\implies y^2+4y+4=0[/tex]

[tex]\implies (y+2)^2=0[/tex]

[tex]\implies y+2=0[/tex]

[tex]\implies y=-2[/tex]

Substitute found value of y into [tex]x=2y+5[/tex] and solve for x:

[tex]\implies x=2(-2)+5=1[/tex]

Therefore, there is one point of intersection at (1, -2), thus proving that the straight line equation is a tangent to the circle.

6. this solid has curved sides. all cross sections parallel to the base are squares measuring 3 units on each side. the height from the base to the top is 5 units. what is the volume of this solid ?

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Answers

The volume of the given solid prism is: 3 × 3 × 5 = 45 units³

What is the Volume of a Solid prism?

The volume of any solid prism = base area of prism × height of the prism.

Given the following dimensions of the solid prism:

Height of the solid prism = 5 unitsBase area = 3 × 3 = 9 units²

Volume of the solid prism = 9 × 5 = 45 units³

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The demand function Q and cost function C(Q) of a commodity are given by the equations \[ Q = 20 - 0{,}01P\]
C(Q)=60+6Q,
where P and Q are the price and quantity, respectively. The total revenue function (TR) in terms of P is

Answers

The total revenue of the function is the product of the quantity and the price

The total revenue in terms of P is TR = 20P - 0.01P^2

How to determine the total revenue?

The demand and the cost functions are given as:

Quantity function, Q = 20 - 0.01P

Cost function, C(Q)=60+6Q

The total revenue is calculated as:

TR = Q * P

Substitute Q = 20 - 0.01P in the above equation

TR = P * [20 - 0.01P]

Evaluate the product

TR = 20P - 0.01P^2

Hence, the total revenue in terms of P is TR = 20P - 0.01P^2

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a company’s profit of 18000 is shared by 2 directors and 24 employees 1-3 of the profit is shared equally by 2 directors of the company

Answers

Using proportions, it is found that:

Each director gets 6000.Each employee gets 500.

What is a proportion?

A proportion is a fraction of a total amount.

In this problem, the directors share one-third of the profit, hence:

18000/3 = 6000

6000/2 = 3000.

That is, each director gets 6000.

The remaining 18000 - 6000 = 12000 will be shared equally by the 24 employees, hence:

12000/24 = 500

Each employee gets 500.

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Amira decides to estimate the volume of an apple by modeling it as a sphere. She measures its circumference as 43.4 cm. Find the apples's volume in cubic centimeters. Round your answer to the nearest tenth if necessary.

Answers

The formula for the circumference of a circle (or a sphere) is [tex]2\pi r\\[/tex].
The formula the volume of a sphere is [tex]\frac{4}{3}\pi r^3[/tex].
Assuming 43.4 includes the pi, we can do the equation [tex]43.4=2\pi r[/tex]
Solving the equation, we get [tex]\frac{43.4}{2\pi } =r[/tex]

Substituting r into the formua for the volume of a sphere, we get [tex]\frac{4}{3} *\pi *(\frac{43.4}{2\pi } )^3[/tex]
Solving the cube (probably with a calculator), we get [tex]\frac{4}{3} *\pi *\frac{81746.504}{8\pi ^3}[/tex]

It is a bit messy, but we can simplify further by cancelling out the pi's, which leaves us with [tex]\frac{4}{3} *\frac{81746.504}{8\pi ^2}[/tex].
With the butterfly method (or whatever you may call it), we can cancel out the 4 in the numerator and the 8 in the denominator, and multiply the 3 in the denominators.
Which gets us this: [tex]\frac{81746.504}{6\pi ^2}[/tex]
Using a calculator, we get our final answer of (about) 1380.44cm^3


This was very messy, I apologize if I did make any mistakes.

Evaluate each expression using the order of operations

A:-4(-4+3)+2²

B:-3-3-3(-3)

C:-17+2(-2)(-2)

D:-(+2(-3)(5)(3+2)(-6)​

Answers

Answer:

[A} 8

[B] 3

[C] -9

[D] - 900

Step-by-step explanation:

A:-4(-4+3)+2²

[tex]\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}[/tex]

[tex]-4\left(-1\right)+2^2[/tex]

[tex]-4\left(-1\right)+4[/tex]

[tex]4+4[/tex]

8

-------------------------------------------------------------------------------------------------------------

B:-3-3-3(-3)

[tex]Follow\:the\:PEMDAS\:order\:of\:operations[/tex]

[tex]-3-3-\left(-9\right)[/tex]

3

-------------------------------------------------------------------------------------------------------------

C:-17+2(-2)(-2)

[tex]\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}[/tex]

[tex]-17-\left(-8\right)[/tex]

-9

-------------------------------------------------------------------------------------------------------------

D:-(+2(-3)(5)(3+2)(-6)​

[tex]Follow\:the\:PEMDAS\:order\:of\:operations[/tex]

-900

-------------------------------------------------------------------------------------------------------------

[RevyBreeze]

If the value 0.125 is rewritten as X%, what is the value of ?

Answers

the value of 0.125 should be rewritten as the value of 12.5%

Answer:

12.5%

Step-by-step explanation:

0.25  * 100

= 12.5%

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