Kyle challenges you to a game. Each player rolls a standard number cube twice. If the sum of the results is divisible by 3, you win. If it is not, Kyle wins. What is your probability of winning? Is this a fair game?

Answers

Answer 1

Answer:

[tex]P(M) = \frac{1}{3}[/tex]

The game is not a fair game

Step-by-step explanation:

We start by listing out the sample space

Number Cube 1: {1,2,3,4,5,6}

Number Cube 2: {1,2,3,4,5,6}

Sample Space (S) of the sum of the 2 cubes;

[tex]S = \{2,3,4,5,6,7,3,4,5,6,7,8,4,5,6,7,8,9,5,6,7,8,9,10,6,7,8,9,10,11,7,8,9,10,11,12\}[/tex]

[tex]n(S) = 36[/tex]

Next, is to list out all multiples of 3; Represent this with M

[tex]M = \{3,6,3,6,6,9,6,9,6,9,9,12\}[/tex]

[tex]n(M) = 12[/tex]

Your probability of winning is the probability of M and is calculated as thus;

[tex]P(M) = \frac{n(M)}{n(S)}[/tex]

[tex]P(M) = \frac{12}{36}[/tex]

[tex]P(M) = \frac{1}{3}[/tex]

The probability of Kyle winning, P(K) = 1 - P(M)

[tex]P(K) = 1 - \frac{1}{3}[/tex]

[tex]P(K) = \frac{2}{3}[/tex]

The game is not a fair game because;

The probability of you winning and the probability of Kyle winning are not equal;


Related Questions

The number multiplied by the variable is called the ______________ of the variable.

Answers

Answer:

coefficient

explanation:

i just know the answer

h(x)=x•2+1 k(x)=x-2
(H+k)(2)

Answers

Answer:

What type of answer is it suppose to be? Essay, true or false, multiple answer?

Step-by-step explanation:

Pretty please help me with this... I need this is about 40 minutes

Much appreciated!!

Answers

Answer:

1) 16 - 6 × (44 + 51 ) +76 -160

16 - 6 × 95 + 76 - 160

16 - 570 + 76 - 160

16 - 494 - 160

-638

2) 44 + 70 ÷ 2 × (49 + 51) × 2 × 0 + 1

44 + 70 ÷ 2 × 100 × 2 × 0 + 1

44 + 35 × 100 × 2 × 0 + 1

44 + 0 + 1

45

3) 4 + 20 × 7 - 66 × (44 + 51) × 0 + 4

4 + 20 × 7 - 66 × 95 × 0 + 4

4 + 140 - 6270 × 0 + 4

4 + 140 - 0 + 4

4 + 140 + 4

148

5) 69445 ÷ 70

992.0714

992.1

Step-by-step explanation:

Find the value of the expression 2x squared + 3y squared - 17 when x = 3 and y = 4

Answers

Answer:

the value would be 49

Answer:

[tex]2x^{2} + 3y^{2} -17 \\x=3 ; y=4\\\\2*2^{2}+ 3*4^{2}-17\\8+48 -17\\=39[/tex]

HOPE IT HELPS :)

PLEASE MARK IT THE BRAINLIEST!

simplify 5х + 6x — 3x

Answers

This can be simplified by grouping like terms:
5x + 6x - 3x = (5 + 6 - 3)x = 8x

Therefore the answer is 8x

find the missing end point if H is the midpoint of PS. P(2,5) and H (3,4) find S (endpoint)

Answers

Answer:

(4,3)

Step-by-step explanation:

To find the midpoint add the end points and divide by 2

P(2,5)    S ( sx, sy)  and the midpoint is and H (3,4)

X coordinate

( 2+ sx) /2 = 3

Multiply each side by 2

2+sx = 3*2

2+sx = 6

Subtract 2

sx = 4

Y coordinate

( 5+ sy) /2 = 4

Multiply each side by 2

5+sy = 4*2

5+sy = 8

Subtract 5

sy = 3

The end point is

(4,3)

Answer:

[tex]\huge \boxed{\mathrm{S(4,3)}}[/tex]

Step-by-step explanation:

We can use the midpoint formula to solve for the endpoint.

[tex]\displaystyle m=(\frac{x_1+x_2 }{2} ,\frac{y_1+y_2}{2} )[/tex]

The midpoint of PS is H.

[tex]\displaystyle \frac{2+x_2 }{2} =3 \ \ \ \frac{5+y_2}{2} =4[/tex]

[tex]\displaystyle 2+x_2 =6 \ \ \ 5+y_2 =8[/tex]

[tex]x_2=4 \ \ \ y_2=3[/tex]

S(4, 3)

Find the volume to the nearest cm3
20 cm
35 cm
12 cm

Answers

Answer: 10380cm^3

Explanation:

Find the volume of half cylinder:

V = (pi x r^2 x h)/2 (I use pi = 22/7 for simplifying)
V = 22/7 x 6^2/2 x 35
V = 22/7 x 36/2 x 35
V = 22/7 x 35 x 18
V = 22 x 5 x 18
V = 1980cm^3

Find the volume of the rectangle:

V = 20 x 35 x 12
V = 240 x 5 x 7
V = 1200 x 7
V = 8400cm^3

Find the volume of the whole shape:

V = 1980 + 8400
V = 10380cm^3

how to do this question plz answer ​

Answers

Answer:

(⌐■-■)

Step-by-step explanation:

Add perimeter of a quarter circle with radius 7 cm.

Hope this helps....

Have a nice day!!!!

easy 10 points and brainliest :)

Answers

Answer:

y =0

Step-by-step explanation:

If we are on the x axis, the x value can change, but the y value is zero

Answer:

y=0

Step-by-step explanation:

Write the equation of the line that has the indicated slope and contains the indicated point. Express the final equation in standard form. m = 1/2 , (3, 4)

Answers

Answer:

x - 2y = - 2

Step-by-step explanation:

Given the following :

1/2 , (3, 4),

The equation of a line :

y = mx + c

m = slope ; c = gradient

m = 1/2

c = (y1 - x1) / 2

c = (4 - 3) / 2 = 1/2

Hence, y = 1/2x + 1/2

In standard form:

Ax + By = C

A and B integer Coefficient of x and y respectively

y = 1/2x + 1/2

1/2x - y = - 1/2

Multiply both sides by 2

x - 2y = - 2

Hence, standard form of the equation is :

x - 2y = - 2

Find the third side in simplest radical form:
25

Answers

Answer:

[tex] \boxed{ \bold{24}}[/tex]

Step-by-step explanation:

[tex] \mathsf{given}[/tex]

[tex] \mathsf{hypotenuse(h) = 25}[/tex]

[tex] \sf{perpendicular (p) = 7}[/tex]

[tex] \sf{base(b) = }[/tex]?

Now, Using Pythagoras theorem

[tex] \sf{{h}^{2} = {p}^{2} + {b}^{2} }[/tex]

plug the values

⇒[tex] \sf{ {25}^{2} = {7}^{2} + {b}^{2} }[/tex]

Evaluate the power

⇒[tex] \sf{625 = 49 + {b}^{2} }[/tex]

Swap the sides of the equation

⇒[tex] \sf{49 + {b}^{2} = 625}[/tex]

Move constant to right hand side and change it's sign

⇒[tex] \sf{ {b}^{2} = 625 - 49}[/tex]

Calculate the difference

⇒[tex] \sf{ {b}^{2} = 576}[/tex]

Squaring on both sides

⇒[tex] \sf{b = 24}[/tex]

Hope I helped!

Best regards!

estimate the height of a tree using the following measurements:height of the rod:180 cm,length of the shadow of the rod is 116 cm,length of the shadow of the tree:840 cm,calculate the height of the tree

Answers

Answer:

1303.45 cm

Step-by-step explanation:

The triangles formed by a rod and its shadow and a tree and its shadow are similar triangles, so the ratios of their heights to the lengths of their shadows are equal.

Let x be the height of the tree. Setting the ratios equal, we get:

180/116 = x/840

Solve for x:

x = 840 * (180/116)

x ≈ 1303.45 cm

Which is the simplified form of 5x + 2y - 3x + y ?

Answers

Step-by-step explanation:

5x + 2y - 3x + y

Solving like terms

2x + 3y

Answer:

5x +2y -3x +y

= 2x +3y

2x+3y is the simplified form.

Pls halp due today >_<. Thank you

Answers

Answer: A. -6.007, -2π, -√48

Step-by-step explanation:

-2π ≈ -6.28

-√48 ≈ -6.93

-6.007 = -6.007

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

-6.007>-6.28>-6.93

-6.007>-2π>-√48

The answer is A
Hope this will help you.

P-18=3 solve for P??

Answers

Answer:

P=21

Step-by-step explanation:

The solution to the equation P - 18 = 3 for P is P = 21

How to determine the solution to the equation for P

From the question, we have the following parameters that can be used in our computation:

P - 18 = 3

Add 18 to both sides of the equation

so, we have the following representation

18 + P - 18 = 3 + 18

Evaluate the like terms on the right hand side

This gives

18 + P - 18 = 21

Evaluate the like terms on the left hand side

This gives

P = 21

Hence. the solution is 21

Read more about equations at

https://brainly.com/question/32492977

#SPJ6

A cylindrical storage vessel is7cm in diameter and 6m long. Find its volumes. 211
231
251
271

Answers

Answer:

[tex] \boxed{ \huge{ \boxed{ \sf{ \bold{231 \: {cm}^{3} }}}}}[/tex]

Option B is the correct option.

Step-by-step explanation:

Given,

Diameter ( d ) = 7 cm

Radius is just half of diameter.

Radius ( r ) = 7 / 2 = 3.5 cm

Height ( h ) = 6 cm

Now, let's find the volume:

Volume of cylinder : [tex] \sf{\pi \: {r}^{2} h}[/tex]

plug the values

⇒[tex] \sf{ \frac{22}{7} \times {3.5}^{2} \times 6}[/tex]

Evaluate the power

⇒[tex] \sf{ \frac{22}{7} \times 12.25 \times 6}[/tex]

Calculate

⇒[tex] \sf{231 \: {cm}^{ 3} }[/tex]

Hope I helped!

Best regards!!

Answer:

The answer is 231 cm^3

Step-by-step explanation:

This is a volume question so we will bring out the question comment first:

Diameter= 7 cm

Height =6 cm

We have to change the diameter to radius so we will do: the diameter which is 7 divided by two which will be 3.5.

We can now start proper.

Formula of volume=pile r square h

22/7 or 3.14 times the radius raised to power 2 times the height=

22/7 x 3.5^2 x 6=

22/7 x 12.25 x 6=

231 cm³

Hope it helps.

What is the distance between the following points ?

Answers

Answer:

The square root of 85 (9.219544457 or 9)

Step-by-step explanation:

I got it correct on Khan Academy.

Hope this helps! :)


A circular pond has a radius of 3 feet. What is the approximate distance around the edge of the pond?

Answers

Answer:

C=6π=18.84 ( if π=3.14)

Step-by-step explanation:

distance around the edge of the pond means the circumference of the circle=

C=2πr

C=2π(3)

C=6π=18.84 ( if π=3.14)

The approximate distance around the edge of the pond is 18.84 feet.

Given that, a circular pond has a radius of 3 feet.

What is circumference?

The circumference of a circle is the perimeter of the circle. It is the total length of the boundary of the circle. The circumference of a circle is the product of the constant π and the diameter of the circle.

We know that, the circumference of a circle is 2πr.

Now, 2×3.14×3

= 18.84 feet

Hence, the approximate distance around the edge of the pond is 18.84 feet.

Learn more about the circumference here:

https://brainly.com/question/28757341.

#SPJ2

A video game is on sale for 15% off the list price of $50. How much is saved by buying the game at the sale price?​

Answers

Answer:

7.5$

Step-by-step explanation:

[tex]Original price = \$50\\Discount = 15\%\\\\\frac{15}{100} \times 50\\ = \$7.5\\[/tex]

6x² + 5x-2x
I am trying to do combining like terms

Answers

Step-by-step explanation:

To combine like terms, we need to find similar numbers. 5x and -2x can be simplified because they both end with x. 6x^2 is different because it ends with x^2. So to simplify, we subtract 2x from 5x to get 3x, and we add 6x^2 to get our answer.

Answer: [tex]6x^2+3x[/tex]

Answer:

6x² +3x

Step-by-step explanation:

We are given the expression:

[tex]6x^2 + 5x-2x[/tex]

and asked to combine like terms. Let's analyze the terms.

6x² ⇒ has a variable, x²

5x  ⇒ has a variable, x

2x  ⇒ has a variable, x

Now, let's group the like terms, 5x and -2x.

[tex]6x^2+ (5x-2x)[/tex]

Next, combine the like terms. Subtract 2x from 5x.

[tex]6x^2+(3x)[/tex]

[tex]6x^2+3x[/tex]

The expression 6x² +5x-2x simplified is 6x² +3x

An advertiser goes to a printer and is charged $37 for 90 copies of one flyer $53 for 285 copies of another flyer. This printer charges a fixed setup cost plus a charge for every copy of single-page flyers. Find a function that describes the cost of a printing job, if x is the number of copies made.

Answers

Step-by-step explanation:

[tex]f(x) = 30 + 0.08205x[/tex]

that is the function you are looking for.

first, we know that it is a fixed set up cost and charge for individual paper

An airplane takes 8 hours to travel a distance of 5824 kilometers against the wind. The return trip takes 7 hours with the wind. What is the rate of the plane in still air and what is the rate of the wind?

Answers

Answer:

Speed of plane in still air = 780 km/h

Speed of air = 52 km/hr

Step-by-step explanation:

Let the speed of plane in still air = u km/h

Let the speed of air = v km/h

Against the air, the resultant speed = (u-v) km/hr

With the air, the resultant speed = (u+v) km/hr

Formula for speed is given as:

[tex]Speed = \dfrac{Distance}{Time }[/tex]

Given that:

Distance = 5824 km

Time taken against the wind = 8 hours

Speed against the wind:

[tex]u-v = \dfrac{5824}{8} \\\Rightarrow u-v = 728 ...... (1)[/tex]

Time taken with the wind = 7 hours

Speed with the wind:

[tex]u+v = \dfrac{5824}{7} \\\Rightarrow u+v = 832 ...... (2)[/tex]

Adding (1) and (2):

[tex]2u=1560\\\Rightarrow u = 780\ km/hr[/tex]

By equation (1):

[tex]780-v=728\\\Rightarrow v = 52\ km/hr[/tex]

Speed of plane in still air = 780 km/h

Speed of air = 52 km/hr

Are there rotations , transitions or reflections in a chair? ( Geometry 1 honors, I will mark brainly.) ASAP

Answers

Answer:

see below

Step-by-step explanation:

There are reflections in a chair.  It really would depend on the chair.  This chair  would have a reflection along the y axis.  I don't know of any chair with a translation.  

Within a chair, we can have designs that are translations or rotations in the patterns of the fabric

You roll a number cube. Find P(number greater than 3)

Answers

Answer:

P (greater than 3) = 1/2

Step-by-step explanation:

A standard number cube has 6 sides, numbered 1 through 6.

We want to find the probability of rolling a number greater than 3. To find this probability, create a fraction. The numerator is the amount of numbers greater than 3 and the denominator is the total amount of numbers.

P(greater than 3)= numbers greater than 3/ total numbers

There are 3 numbers that are greater than 3 (4, 5 and 6).

There are 6 total numbers (1, 2, 3, 4, 5, and 6)

P (greater than 3) = 3/6

This fraction can be simplified. Both the numerator and denominator can be divided by 3.

P (greater than 3) = (3/3) / (6/3)

P (greater than 3)= 1/ (6/3)

P(greater than 3) = 1/2

The probability of rolling a number greater than 3 is 1/2.

At a farmer's market Saturday, 5/8 of the vegetables sold were green. Of these, 3/4 were string beans. What fraction of the vegetables sold were string beans? (Write your answer as a fraction.) ASAP whoever answers first will get brainlist

Answers

Answer:

Your answer will be 1/8

The entire graph of the function h is shown in the figure below. Write the domain and range of h using interval notation.

Answers

Answer:

(A) Domain : (-4, 3]

(B) Range : [ -2, 4)

Help!!!!
Somebody help me solve these questions please ​

Answers

Step-by-step explanation:

Area of a trapezium = SOPS/2 × ph

Sops is the sum of 4+10 = 14

14/2 is 7. 7×4 = 28

A = 28cm²

Area = L×W

10×6= 60cm²

In a birthday party all children got 3 candy's but 1 child got 2 candy's then if all children got 2 candy's then 8 candy is remaining how many andy's in total

Answers

Answer:

  22

Step-by-step explanation:

If there are n children, the number of candies in the first distribution is ...

  3n +1

If the same number of candies is distributed to the same n children, then the second distribution tells us ...

  2n +8 = 3n +1

  7 = n . . . . . . . . . subtract 2n+1. This is the number of children.

The number of candies is ...

  3(7) +1 = 22

There were 22 candies in total.

Answer:

22

Step-by-step explanation:

What is X<-1=?
[tex]x < - 1[/tex]

Answers

Answer:

X<-1.

Step-by-step explanation:

It means x is all numbers less than - 1

Answer:

[tex]\Large \boxed{\mathrm{The \ value \ of} \ x \ \mathrm{is \ less \ than} \ -1}}[/tex]

Step-by-step explanation:

[tex]x<-1[/tex]

That is the less than symbol.

[tex]x[/tex] represents a number.

The value of [tex]x[/tex] is less than -1.

Jada is making lasagna and pizzas for a party recipe calls for 1 1/4 cups and she uses 1/2 she doubled her recipe and made 5 pizzas what's the evaluate and for how many 3/4 cans of tomato she need in all

Answers

This question is not correctly written

Complete Question

Jada is making lasagna and pizzas for a large party. Her lasagna recipe calls for 1 1/4 cups of tomato paste, and her pizza recipe uses 1/2 cup of tomato paste per pizza. She will double her lasagna recipe and make 5 pizzas. Write and evaluate an expression for how many 3/4- cup cans of tomato paste she will need in all.

Answer:

The evaluate and for how many 3/4-cup cans of tomato she need in all is 20/3

Step-by-step explanation:

Step 1

From the question, we are told that:

1 single lasgna recipe uses: 1 1/4 cups of tomato paste = 5/4 cups

If she doubles her recipe, the number of cups of tomato paste =

2 × 5/4 cups of tomato paste

= 10/ 4 = 5/2 cups of tomato pastes

Step 2

From the question, we are told that:

1 Pizza recipe = 1/2 cup of tomato pastes

5 Pizza =

5 × 1/2 cup of tomato paste

= 5/2 cups of tomato paste

Steps 3

The total number of cups of tomato paste Jada will use in making double lasagna and 5 pizzas is calculated as

= 5/2 + 5/2

= (5 + 5)/ 2

= 10/2

= 5 cups.

Step 4

We are asked to evaluate how many 3/4 -cup cans of tomato she need in all.

This means we should find how many 3/4 - cup cans can be found in the total number of cups of tomato paste that Jada used.

Total number of cups that Jada used = 5 cups of tomato paste

The number of 3/4-cup cans in 5 cups is calculated as:

5 ÷ (3/4)

= 5 × 4/3

= 20/3

Therefore, the evaluate and for how many 3/4-cup cans of tomato she need in all is 20/3

Other Questions
Which lake receives up to 9 million visitors each year, covers more than 90,000 acres, and was created by DenisonDam?A. the Grand Lake O' the CherokeesB. Lake ThunderbirdC. Lake EufaulaD. Lake Texoma Line l contains the points A(2, 2) and B(3,6). Line k contains the points C(0,5) and D(1,9).Are lines land k parallel? Justify your response. 16) Find the width of a rectangle whose area is (x^2 +16x+48) ft^2 and whoselength is (x+4) ft. What is the definition of jizya? A radio wave transmits 34.5 W/m2 of power per unit area. A flat surface of area A is perpendicular to the direction of propagation of the wave. Assuming the surface is a perfect absorber, calculate the radiation pressure on it. Use the drop down menu to complete the sentence. Every year, the Nile River flooded, depositing (blank)in the Nile Delta and allowing crops to grow in Egypts arid climate.Fill in the blank. (40 Points)A. GrainsB. Irrigation C. Papyrus D. Silt Michael wrote a novel that sells for $20 dollars each. He received a bonus of $50,000 to sign the contract to write the book, and he receives 9% commission on each book sale. If he sells 10,000books how much will he make? Clearly show your work ____ is a type of text structure when information is organized in steps or a process is explained inthe order in which it occurs.A. ChronologicalB. Sequence/ProcessC. Order of importance ________________ software analyzes vast stores of historical business data that have been prepared for analysis in corporate data warehouses and tries to discover patterns, trends and correlations hidden in the data. If a worker takes 50 hours to perform a task the first time he/she does it, and the learning percentage is 80% a. How long does it take the worker to do the task the third time it is performed? b. How long does it take the worker to do all three tasks? c. How much longer would it take the worker to complete two additional tasks (beyond the first three)? this is a very dumb question but what is -1^2? my calculator says its -1 but isnt -1*-1 = 1???? im very confused plzz help Distance between points (-3, 1) and (5, -2) rounded to the nearest tenth. The final football game of the season is here and Tobias is ready for the game. He's energized and can barely sit still. He's excited and his heart is racing a million miles a minute. What part of the brain is responsible for Tobias's increased heart rate? each electron in an atom has a charge of -1 and each proton has a charge of 1. what is the overall charge of atom that contains 2 electron and 2 proton Who elects governors and lieutenant governors?A.all voters of a stateB.all voters of a nationC.all city council membersD.all elected delegates lan walked 6.8 kilometers to his friends house. What is the distance in meters? Waterway Industries produces 1000 units of a necessary component with the following costs: Direct Materials $42000 Direct Labor 23000 Variable Overhead 8000 Fixed Overhead 10000 Waterway Industries could avoid $6000 in fixed overhead costs if it acquires the components externally. If cost minimization is the major consideration and the company would prefer to buy the components, what is the maximum external price that Waterway Industries would accept to acquire the 1000 units externally? $73000 $79000 $77000 $75000 Can someone tell me where these go at on the map? what is a pickle food group Lea left home and drove toward the ferry office at an average speed of 22 km.H. Trevon left at the same time and drove in the opposite direction with an average speed of 43 km/h. How long does Trevon need to drive before they are 65 km apart?