You and a friend are playing a game of chance. Every time you roll a 1 or 2 you are successful, and your friend will pay you $1. Every time you roll (using a fair die) a 3, 4, 5 or 6, you must pay your friend $2. If 71% of your rolls are successful and 29% of your rolls are unsuccessful, how much money do you expect to have earned/owed by the end of the game

Answers

Answer 1

Considering the mean of a discrete distribution, you are expected to earn $0.13 by the end of the game.

What is the mean of a discrete distribution?

The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.

Since 71% of your rolls are successful and 29% of your rolls are unsuccessful, the distribution of your earnings is:

P(X = 1) = 0.71.P(X = -2) = 0.29

Hence the expected value is:

E(X) = 1 x 0.71 - 2 x 0.29 = 0.71 - 0.58 = 0.13

More can be learned about the mean of a discrete distribution at https://brainly.com/question/24245882

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Related Questions



Which number line shows all the values of that make the inequality -3 +1 < 7 true?

Answers

Answer:

Number line D is true

Step-by-step explanation:

Given

[tex]-3x + 1 < 7[/tex]

See attachment for number lines

Required

Which number line makes the inequality true

First, we solve for x in [tex]-3x + 1 < 7[/tex]

[tex]-3x < 7 - 1[/tex]

[tex]-3x < 6[/tex]

Divide through by -3

[tex]\frac{-3x}{-3} < \frac{6}{-3}[/tex]

[tex]x > -2[/tex]

The inequality means x is greater than -2.

This means that, the line must point to the right of -2 and the "greater than" means that the circle must be opened

Number line D is true

A coin lands on heads 300 times. The relative frequency of heads is 0.6. How many times was the coin flipped?

Answers

Answer: Number of times the coin is flipped =500

Step-by-step explanation:

Relative frequency of head = [tex]\dfrac{\text{Number of times heads occur}}{\text{Total number of times coin is flipped}}[/tex]

Let x= Number of times the coin is flipped, then

[tex]0.6=\dfrac{300}{x}\\\\\Rightarrow\ x=\dfrac{300}{0.6}\\\\\Rightarrow\ x=\dfrac{3000}{6}\\\\\Rightarrow\ x=500[/tex]

Hence, Number of times the coin is flipped =500

There are 6 balls. Half of the balls are blue. One ball is red. The rest are green. Write the fraction for the green balls.

Answers

2/6 of the balls are green or 1/3

Answer:

1/3 (Minimized) 2/6

Step-by-step explanation:

Is -50 greater than 2

True or false

Answers

FALSE

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

Alfredo is ordering a taxi from an online taxi service. The taxi charges $3.50 just for
the pickup and then an additional $0.75 per mile driven. How much would a taxi ride
cost if Alfredo is riding for 5 miles? How much would a taxi ride cost that is m miles
long?

Answers

3.50 + 0.75(m) = total cost

3.50 + 0.75•5
= 3.50 + 3.75 = $7.25 for 5 miles

And the formula for the bottom part is
3.5 + 0.75m

A local aquarium purchased a new turtle tank for their giant turtle exhibit. What is the volume of the turtle tank?

Answers

Answer:

[tex]Volume = 1440m^3[/tex]

Step-by-step explanation:

Given

Missing dimensions:

[tex]Length = 15m[/tex]

[tex]Width = 8m[/tex]

[tex]Height = 12m[/tex]

Required

Determine the volume

Volume is calculated as:

[tex]Volume = Length * Width * Height[/tex]

This gives:

[tex]Volume = 15m * 8m * 12m[/tex]

[tex]Volume = 1440m^3[/tex]  

if there are 10 birds for 4 dogs,what is the ratio of birds to dogs?

Answers

Answer:

10:4 ( Answer )

I hope it helps you

What is additive inverse of the check?
please help



7x -3




-7x + 3



-7x - 3



7x - 3

Answers

Answer:

pretty sure it would be 7x-3

please help me on this will give you brainliest

Answers

Answer:

2,010,000

Step-by-step explanation:

3 x 10^5

10^5= 100000

3 x 100000 = 300000

300000 x 6.7 = 2,010,000

Hope this helps

Answer:

Im not 100% sure but i think its 44,776.1194

Step-by-step explanation: What you do is multiply 3 x 100,000 because 10 to the 5th power is 100,000. Then you divide 300,000 by 6.7 and get your answer of 44,776.1194. Sorry if its incorrect

A quantity with an initial value of 720 decays continuously at a rate of 9% per hour. What is the value of the quantity after 69 hours, to the nearest hundredth?

Answers

Answer:

1.45

Step-by-step explanation:

f(t)=720e^rt

f(t)=720e

rt

Continuously uses Pe^(rt)

r\text{: decays }9\% \

r: decays 9%→−0.09

per hour

f(t)=720e^{-0.09t}

f(t)=720e

−0.09t

(where t is in hours)

69\text{ hours: no time conversion necessary}

69 hours: no time conversion necessary

hours are the only units in the problem.

\text{Plug in }t=69

Plug in t=69

f(69)=720e^{-0.09(69)}

f(69)=720e

−0.09(69)

1.44665097413

1.44665097413

\approx 1.45

≈1.45

Round to the nearest hundredth

The Value that you insert into a function is know as the?

Answers

Answer:

Step-by-step explanation:

Most commonly, that value would be the "independent variable."

We evaluate the function at that particular value of the independent variable.

HELP meeeeeeeeeeeeeeeeeeeee

Answers

Answer:

first:

a)

second:

b)

Step-by-step explanation:

A andddddddddd b......

Szklanka ma pojemnóść 250ml czyli 250cm³. Ile szklanek można napełnić wodą z litrowej butelkki​

Answers

Answer:

75cm

Step-by-step explanation:

Can someone help me please

Answers

Answer:

height of b = 280

Step-by-step explanation:

candle b has a height of 280 - 5t, when it comes out of the mold then t=0 so the initial height of b is 280

candle b's height drops by 5 every hour (that's what the -5t part means)

candle a started at 216 and dropped to 192 in 3 hours, so it dropped by 24 in 3 hours so it drops 8 each hour

so candle b starts out taller (280 v. 216) and candle b burns slower (a at 8 per hour and b at 5 per hour), so b will never 'catch up' with a... candle a will be burned out while candle b is still burning

3 unit right
3 unit left
3 unit up
3 unit down

8 unit right
8 unit left
8 unit up
8 unit down

Answers

The answer to your question is 3 units to the right and 8 units down.

is a rectangle a plane shape​

Answers

Answer:

A plane shape with four straight sides and four right angles for corners is called a rectangle.

Step-by-step explanation:

need help , ill give a brainlist to the best answer ​

Answers

Answer:

-7, 7

Step-by-step explanation:

When a new TV became available in a store, the number sold in the first week was high. Sales
decreased over the next two weeks and then they remained steady over the next two weeks. The
following week, the total number sold by the store increased slightly. Sketch the graph of this function
over the six weeks.

Answers

Answer:

The way you would sketch the graph is slowly increasing, staying about the same, and then go up a little bit.

Good luck!

Help me plz., ,, ,, ,, ,,,

Answers

Answer:

1. 100000

2. 16777216

3. x7

4.64

5.1/64  (Decimal: 0.015625)

Step-by-step explanation:

Connections Academy Sample Work Pre Calc
Please Help!!!
I believe
y (theta) = 3 sin t
and
a(theta) = 3 cos t
but that might be wrong because I'm so confused. Please Please help!

Answers

Step-by-step explanation:

sintheta=y/3"

theta=sin-¹(y/3")

cos theta=a/3"

theta=cos-1(a/3)

sin beta=y/7"

beta=sin-¹(y/7")

b=√{y²+7" ²}

sorry last one I don't know

Answer:

sinθ = y/3                        ⇒ y(θ) = 3 sinθcosθ = a/3                       ⇒ a(θ) = 3 cosθsin β = y/7 = 3 sinθ / 7    ⇒ β(θ) = arcsin (3/7sinθ)b(θ) = √(7²-y²) = √(49-9sin²θ)p(θ) = a(θ) + b(θ) = 3 cosθ + √(49-9sin²θ)

The graph is attached

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

p.s.

b(θ) can be put in different way:

cos β = b/7 ⇒ b(θ) = 7 cos β = 7cos(arcsin(3/7sinθ))

Then

p(θ) = a(θ) + b(θ) = 3 cosθ + 7cos(arcsin(3/7sinθ))

This doesn't change the function or the graph

10 - 4 (3-2y) = 8y -5

Answers

Answer:

No Solutions

Step-by-step explanation:

10 - 4(3-2y) = 8y - 5

Distribute:

10 - 12 + 8y = 8y - 5

Simplify:

-2 + 8y = 8y - 5

Same to both sides

-2 + 5 = 8y - 8y

3 = 0y

No Solutions

Let me know if you have any questions

A student solves the inequality −5v>55. Each step in the student's solution is shown below. Identify where the student made any errors.

Answers

Note: Steps of student are not given. So, the proper steps of the solution are provided below.

Given:

The inequality is

[tex]-5v>55[/tex]

To find:

Where the student made any errors?

Solution:

We have,

[tex]-5v>55[/tex]

On dividing both sides -5 change the sign of equality because -5 is a negative number.

[tex]\dfrac{-5v}{-5}<\dfrac{55}{-5}[/tex]

[tex]v<-11[/tex]

Therefore, the solution of given inequality is [tex]v<-11[/tex].

Rewrite this division expression a an equivalent multiplication expression: 5/8 divided by 2/3

Please help me I’m not very smart lol

Answers

Answer:

Step-by-step explanation:

Dividing by a fraction is the same as multiplying by the upside-down fraction.

(5/8) ÷ (2/3) = (5/8) ⋅ (3/2) = 15/16

In AJKL.m._J = 40and m K = 55°. In AMNP, m M = 40° and m P = 85 A student concludes that the triangles are not similar. Do you agree or disagree? Why? (1 point)

O Disagree, by the Interior Angles Theorem, m N = 55°, so the triangles are similar by the AA similarity criterion

O Disagree, by the Interior Angles Theorem, mZN = 45°, so the triangles are similar by the AA similarity criterion

O Agree by the interior Angles Theorem, m_N = 45 Togo the triangles are not similar by the AA

O Agree, since m_K #m_P, the triangles are not similar by the AA similarity criterion​

Answers

Answer: A

Step-by-step explanation:

Source: trust me bro

1/3a = -5. Solve each equation

Answers

Answer:

1/3a = -5

1=3a×-5

1=-15a

a=-1/15

Answer:

a=-15

Step-by-step explanation:

1/3a = -5

1/3(*3)a=-5*3

a=-15

Suppose that the function f(x)=3x+10 represents the cost to rent a movie for a month. Kim has $15. How many more dollars does she need to rent 8 movies?

Answers

Answer:

$19

Step-by-step explanation:

Given data

Cost of movie

f(x)=3x+10

Hence the cost of 8 movies is

f(x)=3(8)+10

f(x)=24+10

f(x)=$34

Hence the cost of 8 movies is $34, Kim needs extra

=34-15

=$19

PLSSSSSSSS HELP CORRECT ANSWER GETS BRAINLIEST
Answers
A.2 bags
B.3 bags
C.4 bags
D.5 bags

Answers

Answer:

A. 2 bags

Step-by-step explanation:

12x5=60

60 divided by 2 = 30

30 divided by 15 equals 2 bags

Please tell me if this is correct or incorrect  

Hope this helps

Step-by-step explanation:

what are the dimensions of the flower bed

otherwise you can solve it by 151515/area of the flower bed

5= h/1.25 help me plz

Answers

Answer:

Step-by-step explanation:

5=h/1.25

h=6.25

On solving for the value of {h}, we get -

{h} = 6.25.

What is function?

A function is a relation between a dependent and independent variable. We can write the examples of functions as -

y = f(x) = ax + b

y = f(x, y, z) = ax + by + cz

Given is the expression as -

5 = h/1.25

We can solve for the value of {h} as -

5 = h/1.25

{h} = 5 x 1.25

{h} = 5 x 125/100

{h} = 125/20

{h} = 6.25

Therefore, on solving for the value of {h}, we get -

{h} = 6.25.

To solve more questions on functions, visit the link below-

https://brainly.com/question/30194223

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Write an equation of the parabola in intercept form that passes through (-2, 0.05) with x-intercepts of -7 and -3

Answers

Important things you need to know:

1. x intercept = solution of the equation

2. parabola = the highest power is x²

3. "passes through" is important because you have the y intercept (it is the c in ax² + bx + c = 0)

The intercept form is y = a(x-r)(x-s), where r and s are the x intercepts (solutions) of the graph

Substitite the numbers and values you know:

y = a(x-r)(x-s)

0.05 = a(-2-(-7)) × (-2-(-3))

Then you should find a.

Rewrite the equation in the form of y = a ( x+7 )( x+3 ) where the value of a is found.

How many tons are equal to 36,000 pounds? With work!

Answers

Answer:

18 tons

Step-by-step explanation:

1 pound = 0.0005 ton

Therefore,

36,000 pounds

= 36000*0.0005

= 18 tons

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