You and a friend are playing a game by tossing two coins. If both coins land on heads,
you win. If both land on tails, your friend wins. Otherwise, nobody wins. The table shows
the possible outcomes.
Is this a fair game?

You And A Friend Are Playing A Game By Tossing Two Coins. If Both Coins Land On Heads,you Win. If Both

Answers

Answer 1

Answer:

I'm not 100% sure but i think its a  

Step-by-step explanation:

Both have 2 heads and 2 tails so that's 4 and it's a fair game and b is wrong and you will eliminate c.

Answer 2

The game is fair because there is an equal chance of winning an losing the game.

What is probability?

Probability is simply how likely something is to happen.

Probability formula

[tex]P(E )=\frac{Number\ of \ favorable\ outcomes }{Total\ number \ of outcomes}[/tex]

Where,

P(E) is the probability of an event.

What is the fair game?

A fair game is the game in which there is an equal chance of wining or losing.

According to the given question.

Two coins are tossed.

[tex]\implies sample\ space= \{ HH, HT, TH, TT\}[/tex]

[tex]\implies total\ number \ of outcomes = 4[/tex]

Therefore,

The probability that you win is given by

[tex]P(E_{1} )=\frac{Number\ of \ favorable\ outcomes }{Total\ number \ of outcomes}[/tex]

[tex]\implies P(E_{1} )= \frac{1}{4}[/tex]                            (getting HH is a favorable outcome)

[tex]\implies probability\ of\ losing\ the\ game = 1-\frac{1}{4} =\frac{3}{4}[/tex]

And, the probability that your friend wins the game is given by

[tex]P(E_{2}) = \frac{Total\ number\ of\ favorable\ outcomes\ }{Total\ number\ of\ outcomes}[/tex]

[tex]\implies P(E_{2} )=\frac{1}{4}[/tex]                    (getting TT is the favorable outcome)

[tex]\implies probability\ of\ losing\ the\ game = 1-\frac{1}{4} =\frac{3}{4}[/tex]

Hence, the game is fair because there is an equal chance of winning an losing the game.

Find out more information about probability and fair game here:

https://brainly.com/question/22582276

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Related Questions

Which function is a quadratic function? p(x) = 2x(x2 6) 1 m(x) = –4(x 3) – 2 t(x) = –8x2(x2 – 6) 1 h(x) = 3x(x – 2) – 4.

Answers

The function represent the quadratic function is h(x) = 3x(x – 2) – 4, the correct option is D.

What is Quadratic funtion?

Quadratic equations are the polynomial equations of degree 2 in one variable of type f(x) = ax^2 + bx + c where a, b, c, ∈ R and a ≠ 0.

The function which represnt a quadratic function is;

[tex]\rm h(x) = 3x(x - 2) - 4\\\\ h(x)=3x\times x - 3x \times 2-4\\\\ h(x)=3x^2-6x-4[/tex]

The highest degree of the function is 2 so the function is the quadraic function.

Hence, the function represent the quadratic function is h(x) = 3x(x – 2) – 4.

To know more about quadratic function click the link given below.

https://brainly.com/question/9777225

A man paid a debt of $6789 in three payments. The second time he paid $3 more than he did the first time and the third payment was twice as much as the second payment. What was the amount of each payment?

Answers

Answer:

$6789.00, $20,367.00, $40,734.00

Step-by-step explanation:

debt: $6,789.00

multiply by $3 which equals $20,367.00

then take the value of $20,367.00 and multiply again by 2 which equals 40,734.00

that's my step by step explanation

hope this helps.

How do you think you could find the volume of a cylinder

Answers

Answer:

to find the volume of a cylinder formulae is pi r² x Height

Step-by-step explanation:

because to find the volume of any object we have to multiply the area of the base and the height

now as the base of the cylinder is circle we have to fulfill the area of circle with the height of the cylinder

hence

volume

of

the

cylinder = area of circle x height

= pi r² x Height

trinity solved the equation 2(x-3)+7-3x=11.

Answers

Answer:

[tex]x=-10[/tex]

Step-by-step explanation:

[tex]2(x-3)+7-3x=11[/tex]

[tex]2\left(x-3\right)+7-3x-7=11-7[/tex]

[tex]2\left(x-3\right)-3x=4[/tex]

[tex]-x-6=4[/tex]

[tex]-x-6+6=4+6[/tex]

[tex]-x=10[/tex]

[tex]\cfrac{-x}{-1}=\cfrac{10}{-1}[/tex]

[tex]x=-10[/tex]

~

What are the angles for these?

Answers

Answer:

1) 60

2) 80

3) 90

step by step explanation

so sorry

bill can mow a lawn in 40min and jhon can mow for 60min.how long will it take to mow together

Answers

24 minutes.

Let me explain.

The lawn can be any size, but for the purpose of simplicity, let's say it's 240 square meters.

Peter mows 6 square meters per minute if he mows 240 square meters in 40 minutes.

John mows 4 square metres each minute if he mows 240 square metres in 60 minutes.

They'll mow 10 square meters per minute if they work together.

As a result, mowing the entire lawn will take them 24 minutes.

(Note that the location is irrelevant as long as we know how long each man takes to complete the task separately.) The answer would be the same if the field was 1 million hectares in size.)

I hope this helps.

5
2
Which function is linear? Select all that apply.
А. у = = 4x
+ 2

B.y= 62° + 8
cy= 2x + 8

D.
y = x +1

Answers

Answer:

a,c,d

Step-by-step explanation:

Raheem tosses a fair coin 20 times, and it lands on heads 12 times. If Raheem tosses the coin a 21 st time, what is the probability it will land on heads?.

Answers

Based on what was given he had landed on heads 12 times out of 20 and landed on tales 8 times out of 20. So based on that he is more likely to land on heads than he is to land on tales hopefully that made since and it helps

How old am I if 300 reduced by 4 times my age is 92?

Answers

You would be 69 then

Calculate the volume of a cylinder with height 18cm and diameter 5cm. Give your answer rounded to 3sf.​

Answers

use the formula V =pi(r)^2•h
V =pi(2.5)^2•18
112.5pi cm^3 is the volume

can some one tell me the answer pls. I will mark you brainliest

Answers

Answer:

the correct answer is 65 degrees

Step-by-step explanation:

The angle is 65 degrees

Answer:

it is 75°

Step-by-step explanation:

so do you see the red line? it is in between 70° and 80° which means it's 75°

What is the answer for this question I need help

Answers

Answer: Angle 1= 32 degrees

Angle 2=90 degrees

Angle 3=58 degrees

Angle 4=32 degrees

Write an equation of the line in slope- intercept form

Answers

Answer:

[tex]a)\ y=-\frac{1}{3}x[/tex]

Step-by-step explanation:

Slope (m) form: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{1-0}{-3-0} \\\\m=\frac{1}{-3} \\\\m=-\frac{1}{3}[/tex]

[tex]y=mx+b\\y=-\frac{1}{3}x +b[/tex]

(0, 0)

[tex]y=-\frac{1}{3}x +b\\0=-\frac{1}{3}(0) +b\\0=0+b\\0=b[/tex]

[tex]y=-\frac{1}{3}x +0\\y=-\frac{1}{3}x[/tex]

Check your answer:

[tex]y=-\frac{1}{3}x \\1=-\frac{1}{3}(-3)\\1=-1[/tex]

This statement is true

Hope this helps!


What is the equation of a line of a line passing through (-3,7) and having a slope of - 1/5?

Answers

Answer:

y = -1/5x + 6.4

Step-by-step explanation:

Use the point-slope formula.

y-y₁ = m(x -x₁)

so...

y-7 = -1/5(x - (-3))

y = -1/5x+ 32/5

and you need you can change 32/5 to 6.4

Hope this helps!

Find the total area in the picture. Round to the nearest tenths place.

Answers

will recommend to keep in touch with picture as name of sides are based on it!.

It may not get messy so i will divide whole answer into small parts.

Now Let's move to solution :)

[tex] \\ \\ [/tex]

[tex] \gray{ \bf \dag \frak{Part 1}}[/tex]

In this part we will just focus on Semicircle with diameter 22 ft.

Given :-

Diameter = 22 ft

[tex] \\ [/tex]

To find:-

Area of semicircle

[tex] \\ [/tex]

So first of all let's convert diameter into radius.

we know:-

[tex] \boxed{ \rm{}radius = \frac{Diameter}{2} }[/tex]

So:-

[tex] \\ [/tex]

[tex] \hookrightarrow\sf{}radius = \dfrac{Diameter}{2} [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow\sf{}radius = \dfrac{22}{2} [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow\sf{}radius = \dfrac{2 \times 11}{2} [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow\sf{}radius = \dfrac{\cancel2 \times 11}{\cancel2} [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow\sf{}radius = \dfrac{11}{1} [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow\sf{}radius = 11[/tex]

[tex] \\ \\ [/tex]

Now let's find area of semicircle!

We know:-

[tex] \boxed{ \rm Area~of~semicircle = \frac{\pi {r}^{2} }{2} }[/tex]

[tex] \\ [/tex]

so:-

[tex] \\ [/tex]

[tex] \dashrightarrow\sf Area~of~semicircle _1= \dfrac{\pi {r}^{2} }{2} [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf Area~of~semicircle _1= \dfrac{22 \times {11}^{2} }{7 \times 2} \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf Area~of~semicircle _1= \dfrac{\cancel{22} \times {11}^{\cancel2} }{7 \times \cancel2} \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf Area~of~semicircle _1= \dfrac{11\times {11}^{\cancel2} }{7} \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf Area~of~semicircle _1= \dfrac{1331}{7} \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\bf Area~of~semicircle _1= 190.14 \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \gray{ \bf \dag \frak{Part 2}}[/tex]

So in this part we will find area of other semicircle.

Now as u can see BC isn't given , but AC and AB are given.

So let's find BC:-

AC = AB + BCBC = AC - ABBC = 30 - 22BC = 8 ft

[tex] \\ [/tex]

Now we got the diameter, so let's change it into radius.

we know:-

[tex] \boxed{ \rm{}radius = \frac{Diameter}{2} }[/tex]

[tex] \\ [/tex]

so :-

[tex] \hookrightarrow\sf{}radius = \dfrac{Diameter}{2} [/tex]

[tex] \\[/tex]

[tex] \hookrightarrow\sf{}radius = \dfrac{8}{2} [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow\sf{}radius = \dfrac{2 \times 4}{2} [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow\sf{}radius = \dfrac{\cancel2 \times 4}{\cancel2} [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow\sf{}radius = 4[/tex]

[tex] \\ [/tex]

Now let's find area of semicircle!

We know:-

[tex] \boxed{ \rm Area~of~semicircle = \frac{\pi {r}^{2} }{2} }[/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow\sf Area~of~semicircle _2= \dfrac{\pi {r}^{2} }{2} [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf Area~of~semicircle _2= \dfrac{22 \times {4}^{2} }{7 \times 2} \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf Area~of~semicircle _2= \dfrac{\cancel{22} \times {4}^{\cancel2} }{7 \times \cancel2} \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf Area~of~semicircle _2= \dfrac{11\times {4}^{2} }{7} \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf Area~of~semicircle _2= \dfrac{11\times 16}{7} \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf Area~of~semicircle _2= \dfrac{176}{7} \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\bf Area~of~semicircle _2= 25.14 \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \gray{ \bf \dag \frak{Part 3}}[/tex]

Now Finally in this part we'll add both the areas of these semicircles.

Let :-

Area of semicircle with diameter AB be A₁Area of semicircle with diameter BC be A₂

[tex] \\ \\ [/tex]

[tex] \sf: \implies Area~of~figure=A_1+A_2 \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \sf: \implies Area~of~figure=190.14+25.14 \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \bf: \implies Area~of~figure=215.28 {ft}^{2} \\ [/tex]

[tex] \\ \\ [/tex]

If the sum of the number and five is tripled, the result is one less than twice the number. Find the number.

Answers

Answer:

see below

Step-by-step explanation:

5 + y x 3 = 2y - 1

Explain How you get -8 whe solving -5+-3

Answers

Answer:

-5+(-3)

=-5-3

=-8

Step-by-step explanation:In a problem like this you have to write -3 in parentheses.

Since the + sign is outside the parentheses here, the -3 and + sign are multiplied.

+ saha- multiplication yields -sign.

So there's a -3 coming.

Then -5-3.

Since the sign of this is the same, the two numbers are added. In both - the mark is applied to the answer because there is a mark.

What is the whole number for 15/4. If you have the answer please tell me.

Answers

Answer: 4

Step-by-step explanation:

Well 15/4 is 3.75 so to get the whole number you need to round up

.75 rounds up to .8 now round 3.8 well 3.8 rounded up is 4 there's your answer! :)

You travel between these two mile markers and then find your average speed in miles per hour.

Select the three equations that represent this situation.



2.5 hours=150 milesspeed

150 miles=2.5 hours×speed

speed=150 miles2.5 hours

speed150 miles=2.5 hours

Answers

Answer:

150 miles = 2.5 hours x speed2.5 hours =150 miles/speedspeed = 150 miles/2.5 hours

Hope this helps :)

Marco needs $57 to buy new basketball shoes. If Marco earns $3 per day
working and already has $12 saved, which equation shows how many
days Marco must work before he can afford the shoes?

A. 3d = 57
B. 3d – 12d = 57
C. 3d = 45
D. 3d – 12 = 57

Answers

Answer:

3x+12=57 x= how many days

Step-by-step explanation:

Answer:

C. 3d=45

Step-by-step explanation:

subtract 57-12= 45 n if u multiply 3x15=45 so 3(15)=45

Factor perfect square binomial
9x^2+ 24x +16

Answers

Answer:

(3x + 4)(3x + 4)

Step-by-step explanation:

[tex]9x^2+ 24x +16 \\ \\ = 9x^2+ 12x + 12x +16 \\ \\ = 3x(3x + 4) + 4(3x + 4) \\ \\ = (3x + 4)(3x + 4)[/tex]

275 miles on 14 gallons


pls hurry

Answers

Answer:

1 gallon per 19.64mi

Step-by-step explanation:

275/14 =19.6428571429

Answer:

19.65 miles per gallon

Step-by-step explanation:

That is your answer because you have to divide the amount of gallons by miles.


275/14 = 19.65 miles per gallon


I hope it helps! Have a great day!

bren~!

please help

I put a photo​

Answers

Answer:

[tex]\sf slope: \dfrac{5}{4}[/tex]

[tex]\sf y-intercept: 0[/tex]

explanation:

comparing with the formula: y = mx + b  

Here the input equation: y = 5/4 x + 0

[tex]\hookrightarrow[/tex] m = 5/4 and b = 0

2. What is the total surface area of the figure below 5.2 cm 6 cm 9 cm 6 cm 6 cm​

Answers

Answer:

193.2 cm²

Step-by-step explanation:

Area = 5.2 x 6 + 3 x 6 x 9

= 31.2 + 162

= 193.2 cm²

Complete the table.
2
6
12
18
24
30

Answers

35

40

48

50

62

i did the test

Drag each volume of a prism to match a rectangular prism on the left with the given dimensions.

Dimensions of Rectangular Prism | Volume of Rectangular Prism
4 in., 3 in., 6 in.
6 in., 3 in., 2 in.
4 in., 5 in., 4 in.
2 in., 9 in., 3 in.

Choices: 54 cu. in. 72 cu. in. 36 cu. in. 80 cu. in.

Answer for 20 points

Answers

The volume of the rectangular prisms is given by 72 in³, 36 in³, 80 in³ and 54 in³

What is volume?

Volume is the amount of space occupied by a three dimensional shape or object.

The volume of a rectangular prism is given by:

Volume = length * width * height

a) Dimensions: 4 in., 3 in., 6 in.

Volume = 4 * 3 * 6 = 72 in³

b) Dimensions: 6 in., 3 in., 2 in.

Volume = 6 * 3 * 2 = 36 in³

c) Dimensions: 4 in., 5 in., 4 in.

Volume = 4 * 5 * 4 = 80 in³

d) Dimensions: 2 in., 9 in., 3 in.

Volume = 2 * 9 * 3 = 54 in³

The volume of the rectangular prisms is given by 72 in³, 36 in³, 80 in³ and 54 in³

Find out more on volume at: https://brainly.com/question/12410983

I need help on this question in math

Answers

The rate of change or essentially the slope is a numerical value that describes the direction and the steepness of the line.

To find the slope, we just need any two points on the line

       --> Let's pick (0,2) and (2,6)

The slope's equation = [tex]\frac{y2-y1}{x2-x1}[/tex]

Let's plug the known quantities into the equation

     [tex]\frac{y2-y1}{x2-x1}=\frac{6-2}{2-0} =\frac{4}{2} =2[/tex]

Therefore the rate of change is 2 km/trip

Hope that helps!

The volume of a cuboid is 308cm3. The length is 11cm and the width is 70mm. Work out the height of the cuboid in cm.

Answers

Depth: 70 mm (/10) = 7 cm
Length: 11 cm
Height: ?

The volume of a cuboid is length x height x depth

So

7 x 11 x ? = 308

77 x ? = 308

(/77)

? = 4 cm


Hope this helps!!

Brainliest would be appreciated!!

Answer:

40cm

Step-by-step explanation:

Convert mm to cm

Create equation

11cm·0.7mm·Lmm=308cm³

solve for L

7.7L=308

L=40

2500 divided by 0.05?

Answers

The answer to you’re question is 50000

helppppppp reallyyyyyyyyyyy

Answers

Answer:

P=58in.²

Step-by-step explanation:

do you really need explanation? I don't know how to explain it to you I just calculated it gradually...

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