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Answer:

The expected winnings of the player in one game = 2.55

Step-by-step explanation:

Given - A blue die and a red die are thrown in a game. If the sum of the two numbers is 7 or 11, the player wins $10. If the sum of the two numbers is 12, then the player wins $20. In all other cases, the player loses a dollar.

To find - What are the expected winnings of the player in one game ?

Solution -

Given that,

A blue die and a red die are thrown in a game.

The Sample Space becomes -

S = {(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)

       (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6)

       (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6)

       (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)

       (5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6)

       (6, 1), (6, 2), (6, 3), (4, 4), (6, 5), (6, 6) }

So,

n(S) = 36

Now,

Let A be the outcome that, the sum of the two numbers is 7 or 11

A = {(1, 6), (2, 5), (3, 4), (4, 3), (5, 2),  (6, 1)

       (6, 5), (5, 6) }

So,

n(A) = 8

So,

P(A) = n(A)/ n(S)

       = 8/ 36

       = 2/9

⇒P(A) = 2/9

Now,

Let B be the outcome that, the sum of the two numbers is 12

B = {(6, 6)}

So,

n(B) = 1

So,

P(B) = n(B)/ n(S)

       = 1/ 36

⇒P(B) = 1/36

Now,

Expected value, E(x) = ∑ x P(x)

                                  = 10 × P(A) + 12 × P(B)

                                  = 10 × 2/9 + 12 × 1/36

                                  = 20/9 + 12/36

                                  = (20×4 + 12)/36

                                  = (80 + 12)/36

                                  = 92/36

                                  = 2.55

⇒Expected value, E(x) = 2.55

∴ we get

The expected winnings of the player in one game = 2.55

Answer:

160000m³

Step-by-step explanation:

Volume of a rectangular prism= A x h

V= l x b x h

V= 80x 50 x 40

V= 160000m³

Answer:-5

Step-by-step explanation:

Hello!

-6-4/2 = -10/2=-5

Hope this helps, have a great day!

Answer:

I don't see an option Gas to liquid but the correct answer will be gas to liquid.

Explanation:

If u heat water will evaporate and form water vapour (gas form). Anytime heat is released from a gas, it will change forms to be a liquid. It is like reverse condensation.

Answer:

the video is 4 hours and 25 minutes

Step-by-step explanation:

first you need to subtract 30 minutes from 5:25 giving you 4:55, then you need to find the difference in minutes from 2:30 to 4:55 by subtracting them or just counting because you cannot subtract units of time like they are real numbers. giving you 4 hours and 25 minutes

Answer:

V= 74.09

Step-by-step explanation:

Multiply the Length, Width & The Height.

So, 4.2x 4.2x 4x2= 74.09

Answer:

74.09 m

Step-by-step explanation:

Volume = width*hight*length

4.2*4.2*4.2 ≈ 74.09

[tex] \huge{ \mathcal{  \underline{ Answer} \:  \:  ✓ }}[/tex]

Total land area of Rhode Island is :

[tex] \longmapsto\mathrm{1045 \: \: mi {}^{2} }[/tex]

And from the above pie chart, we can conclude that Kent County comprises 16% of total land area of Rhode Island, that is :

[tex]\longrightarrow \dfrac{16}{100} \times 1045[/tex]

[tex]\longrightarrow \dfrac{16720}{100} [/tex]

[tex]\longrightarrow167.2 \: \: mi {}^{2} [/tex]

Therefore, Total land area of Kent County :

[tex] \boxed{ \large{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 167.2 \: \: \: mi {}^{2} \: \: \: \: \: \: \: \: \: \: \: \: \: }}[/tex]

_____________________________

[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]

Answer:

It is increasing before x = -2 and from x = 0 to x = 2

Step-by-step explanation:

Option 1 - you can see the line going down starting at -2 and that means the line is decreasing but the choice says "It is increasing before x = 0". This contradicts the actual graph.

Option 2 - The line isn't increasing before x= -1, it's actually decreasing as seen in the graph.

Option 3 - The line doesn't even touch the point before x = -3 so this choice makes no sense.

Option 4 - Since all the other choices were eliminated this is the only choice standing. Looking at the line it is increasing before x = -2.

Answer:

Step-by-step explanation:

area of square=l^2

=12^2

=144 in.^2

Answer:

0.04 or 4/100

Step-by-step explanation:

Think of a percentage as a very lazily written fraction. 4% = 4/100

Just convert the fraction to a decimal.

---

hope it helps

Answer:

70.69

Step-by-step explanation:

Area = [tex]\pi r (r + \sqrt{h^2+r^2} )[/tex]

Area = [tex]\pi (2.5) (2.5 + \sqrt{(6)^2+(2.5)^2} )[/tex]

Area = 70.68583471

Area = 70.69

Answer: The answers are A and B

Step-by-step explanation:

Ap3x

The domain and range of function Y = sin X will be all the real numbers and  [tex]-1\leq y\leq 1[/tex].

The domain is the set of values for which the given function is defined.

The range is the set of all values which the given function can output.

We have been given a function Y = sin X.

We need to find the domain and range of function .

Here we can see that the given function is a sine function.

So, the domain of the function would be all the real numbers.

also, The range will be [tex]-1\leq y\leq 1[/tex].

Therefore, options A and B are the correct answer.

Learn more about appropriate domain here:

https://brainly.com/question/20073127

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Answer:

114

Step-by-step explanation:

angle one is vertical opposite angle and also angle on a straight line

Answer:

g(x) = -f(x) +5

Step-by-step explanation:

The sign on the 'x' changes, this implies a reflection.

g(x) = -f(x) = -(x+1) = -x -1

Now apply a vertical translation 'up 5' to f(x)

g(x) = -f(x) + 5 = (-x-1) +5 = -x +4

Answer:

1/18 i think

Step-by-step explanation:

The probability of occurring 3 both times will be 1/36.

The probability of an event occurring is defined by probability.

Probability is also called the chance because if you flip a coin then the probability of coming head and tail is nothing but chances that either head will appear or not.

Do not take underestimate probability it has several uses in daily life whether forecasts or like that.

Probability of occurring 3 for the first time ⇒

number of outcomes/number of sample

Sample space {1,2,3,4,5,6} and outcome is 3

So,

P = 1/6

Probability of occurring 3 in second time⇒

number of outcomes/number of sample

Sample space {1,2,3,4,5,6} and outcome is 3

So,

P = 1/6

So,

Probability of occurring 3 both times = 1/6 × 1/6 = 1/36

Hence "The probability of occurring 3 both times will be 1/36".

For more information about the probability,

brainly.com/question/11234923

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Answer:

-10a^4 + 17a^2s - 6s^2

in other words, your answer is the first one

Answer:

-10a^4 +17a^2s-6s^2

Step-by-step explanation:

see Image below:)

Lucy and Alicia should be planning to make 8 gallongs of lemonade.

If this helps, please mark brainliest!

Have a wonderful day!

It should be noted that a table where the constant rate of change is 6 inches for every foot will be:

1 foot = 6 inches

2 foot = 12 inches.

3 feet = 18 inches.

4 feet = 24 inches

5 feet = 30 inches.

It should be noted that an expression is used to show the relationship about the numbers given. In this case, it should be noted that there's a constant rate if 6 inches for every foot.

This means that there will be a difference of 6 inches for each foot.

Therefore, 1 foot = 6 inches

2 foot = 2 × 6 = 12 inches.

3 feet = 3 × 6 = 18 inches.

4 feet = 4 × 6 = 24 inches

5 feet = 5 × 6 = 3 inches.

This illustrates that that there is a constant relationship.

Learn more about number on:

brainly.com/question/148825

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Answer:

Improved climate for foreign investment

Step-by-step explanation:

I just took the test gs

Answer:

25.6667

Step-by-step explanation:

Divide the length value by 3.

77 divided 3 =

25.6667

Answer:

Step-by-step explanation:

25.66 SQM

siti = x

Janice = 35.50$

Janice = 10.35 + x = 35.50

x = 35.50 - 10.35

x = 25.15

Siti = 25.15$

Amiya = y

Amiya = y - 12.80 = 25.15

y = 25.15 - 12.80

y = 13.25$

Answer:

The vertex of the parabola is [tex]V(x,y) = (0, 3)[/tex].

Step-by-step explanation:

In this case, the vertex of the parabola is the absolute maximum of the graph, that is, the point [tex]V(x,y) = (0, 3)[/tex].  Mathematically speaking, the vertex of the parabola is represents the only point of the range ([tex]y[/tex]) which is related to an only value of the domain ([tex]x[/tex]).

Answer:

the displayed green time for the traffic movement is 30 seconds

Step-by-step explanation:

Given the data in the question;

Cycle length; C = 70 seconds

Displayed all-red time; AR = 2 seconds

Displayed yellow time; Y = 5 seconds

Effective red time; r = 37 seconds

total lost time per cycle; [tex]t_L[/tex] = 4 seconds

the displayed green time for the traffic movement; G = ?

First we determine the Effective green time ( g );

Effective red time; r = Cycle length; C - Effective green time ( g )

so,

Effective green time ( g ) = C - r

we substitute

Effective green time ( g ) = 70 seconds - 37 seconds

Effective green time ( g ) = 33 seconds

Now,

Effective green time ( g ) = displayed green time; G + Displayed yellow time; Y + Displayed all-red time; AR - total lost time per cycle; [tex]t_L[/tex]

i.e

g = G + Y + AR - [tex]t_L[/tex]

we substitute

33 = G + 5 + 2 - 4

33 = G + 3

G = 33 - 3

G = 30 seconds

Therefore, the displayed green time for the traffic movement is 30 seconds

Answer:

ratio=AC/FD=AB/ED=BC/FE

Step-by-step explanation:

Answer:

11x

Step-by-step explanation:

Each month, 11 letters are written over the course of x months, to find the total, we need to multiply the two:

11 * x

11x

Answer:

it's the first one

Step-by-step explanation:

sorry if im wrong but i think it's right

Answer:

its the first

Step-by-step explanation:

first see how much it increases (1/2x)

and then where on the y line its crossing (+4)

sorry for bad english