A bag contains 2 gold marbles, 8 silver marbles, and 20 black marbles. The rules of the game are as follows: You randomly select one marble from the bag. If it is gold, you win $5, if it is silver, you win $2. If it costs $1 to play, what is your expected profit or loss if you play this game?

Answers

Answer 1

Answer:

expected loss of 4/30 ≈ 0.13 dollars

Step-by-step explanation:

profit  = revenue - expenses

expected profit= expected revenue - expected expenses

how i solve this is by multiplying each revenue and expense by its probability and solving from there

revenue of gold = 5

revenue of silver = 2

revenue of black = 0

this exhausts all of our revenue options

total marbles = 2+8+20 = 30

# of gold marbles = 2

probability of gold = 2/30

# of silver marbles = 8

probability of silver = 8/30

# of black marbles = 20

probability of black = 20/30

expected revenue = sum of possible revenues multiplied by their probability

= 5 * 2/30 + 2 * 8/30 + 0 * 20/30 = 10/30 + 16/30 = 26/30

cost = 1 no matter what

expected profit = expected revenue - expected expenses

= 26/30 - 1

= -4/30

= an expected loss of 4/30

4/30 ≈ 0.13


Related Questions

Use the table below to find each probability. 5. P(the recipient is male) 6. p(the degree is a bachelors) 7. p(the recipient is female, given that the degree is advanced) 8. p( the degree is not an associates, given that the recipient is male)



Degree Male Female
Associate 245 433
Bachelors 598 858
Advanced 293 376

Answers

P(the recipient is male)= 40.5%

p(the degree is a bachelors) = 52%

p(the recipient is female, given that the degree is advanced)  = 56.2%

p( the degree is not an associates, given that the recipient is male) = 78.4%

What are the probabilities?

Probability determines the chances that a random event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

P(the recipient is male) = total number of males / total number of recipients

1136/2803 = 40.5%

p(the degree is a bachelors) = total number of bachelors degree / total number of degree

= 1456 / 2803 = 52%

p(the recipient is female, given that the degree is advanced) = total number of females with advanced degree / total number of advanced dgree

376 / 669 = 56.2%

p( the degree is not an associates, given that the recipient is male) = number of males that that have degrees other than associates / total number of males

891 / 1136 = 78.4%

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Does anyone know the answer? Please and Thank you!

Answers

Answer:

no because nkow one can explain


HELPPP
a) x + 5 = 11
b) x-6=8
C) 3+ x=7
d) 12 = x + 5

Answers

Answer:

A) 6

B) 14

C) 4

D) 7

Hope it helps :))

A large tank is 120 meters long, 65 meters wide, and 48
meters high. Express the volume of the tank in cubic
meters using scientific notation.

Answers

Step-by-step explanation:

the volume of a rectangular block or tank is

length × width × height

so, it is like all regular 3D objects

base area × height.

so, we get

120 × 75 × 48 = 374,400 m³ = 3.744 × 10⁵ m³

why ?

374,400 = 374400 × 10⁰ = 37440 × 10¹ =

= 3744 × 10² = 374.4 × 10³ = 37.44 × 10⁴ =

= 3.744 × 10⁵

3(a+1.5)= -1.5 what does a equal

Answers

Answer:

-2

Step-by-step explanation:

3(a+1.5)=-1.5

a+1.5 = - 1.5/3 = - 0.5

a = - 0.5 - 1.5 = - 2

Answer:

Step-by-step explanation:

3a + 4.5 = -1.5

3a = -6

a = -2

Find the slope of the line passing through the points (-6,7) and (-8,5)

Answers

Answer:

Slope = 1

Step-by-step explanation:

Help??
x^2 - 5x + 6
I dont need the answer, I have done the steps and gotten to x(x-2)-3(x-2)
I know the answer is (x-2)(x-3)
How do you get (x-2)(x-3) from x(x-2)-3(x-2) ?

Answers

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

[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

             Solve x²-5x+6

[tex]\blue{\textsf{\textbf{\underline{\underline{Answer:-}}}}[/tex]

(x-2)(x-3)

[tex]\blue{\textsf{\textbf{\underline{\underline{How\:to\:Solve:-}}}}[/tex]

                      First, we think of two numbers such that

     If we multiply them, we'll get 6

      If we add them, we'll get -5

These numbers are -2 and -3.

Write them here:

(x-2)(x-3)

Now, how do we get (x-2)(x-3) from x(x-2)-3(x-2)?

Notice that (x-2) is the common term, so we factor it out:

(x-2)

And now, we write the other two terms that are left in the parentheses:

(And the terms left are x and -3)

(x-2)(x-3)

Notice that we ended up with the same answer.

Good luck.

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

Please i really need help, i really need this i will give a brainliest to the people that answer correctly

Answers

Answer:

B

Step-by-step explanation:

y is first so, 8,1 6,2 4,3 2,4 0,5

write the expression 5x^-4 using only positive exponents

Answers

Answer:

1/5x^4

Step-by-step explanation:

To change a negative exponent to a positive one, flip it into a reciprocal. This is what I have done here.

Consider a game in which you draw playing cards from a standard 52-card deck, one at a time. If a player draws a face card (a jack, a queen, or a king), the player is awarded 10 points. Any other card drawn costs the player 3 points. What is the expected value of drawing a card in this game? A. 0 points B. 3 points C. 6.5 points D. 10 points

Answers

Answer: B

Step-by-step explanation: There are many less face cards in the deck than other cards, you would think youre getting 3 points each time rather than thinking 10 points each time

Solve the equation 14x + 7y= 28 for x.
O A. x-y-2
OB. x = 28-7y
O C. x = 2-y
O D. x = 4-y

Answers

The equation that represents the solution of x is x = 2 - y/2

How to solve the equation?

The equation is given as:

14x + 7y = 28

Divide through by 7

2x + y = 4

Subtract y from both sides

2x = 4 - y

Divide both sides by 2

x = 2 - y/2

Hence, the equation that represents the solution of x is x = 2 - y/2

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A right angled triangle has sides 12m and 5 m.what is the length of the hypotenuses of this triangle?

Answers

12^2 + 5^ = c^2

144 + 25 = c^2

169 = c^2

13=c

Answer:

13 m

Step-by-step explanation:

Given: sides of the right triangle are 12 m and 5 m

To find: Length of hypotenuse

By Pythagoras Theorem:

[tex]l(hypotenuse)=\sqrt{12^2+5^2}[/tex]

[tex]\implies l(hypotenuse)=\sqrt{144+25}[/tex]

[tex]\implies l(hypotenuse)=\sqrt{169}[/tex]

[tex]\implies l(hypotenuse)=13\: m[/tex]

Find the area of the rectangular prism net

Answers

Answer:

52 units^2

Step-by-step explanation:

Given:-

Length(L): 4

Width(W): 3

Height(H): 2

Surface area = 2(LW+WH+HL)

2(4×3+3×2+2×4)

2(12+6+8)

52 units^2

Hope this answers your question!!

The circumference of a circle is 113.04 centimetres. What is the circle's radius?
Use 3.14 for ​.

Answers

Answer:

18 centimeters

Step-by-step explanation:

Divide the circumference by π, or 3.14 for an estimation. The result is the circle's diameter.

Divide the diameter by 2.

There you go, you found the circle's radius

Does anyone know the correct answer

Answers

Answer:

D. None of these

Step-by-step explanation:

(5×10^8)(4×10^3)

=20 × 10^11

All the terms are being multiplied. There is no distributive property (FOIL) here. Rearrange the numbers in any order that helps you.

5 × 4 × 10^8 × 10^3

Add exponents to multiply the 10's.

and in proper scientific notation, one last change would give you

2.0 × 10^12

Find the exponential equation that passes through the points 0,6 and 2,3.84 in y=ab^x form

Answers

Answer:

y=ab^x

y=6.0.8^x

Step-by-step explanation:

find exponential function by substituting given values into y=ab^x and the solve

Answer it please!!!! I need help with it!

Answers

Considering the piece-wise function, the value of the function at x = 2, that is, g(2), is given by:

C. 1.

What is a piece-wise function?

It is a function that has different definitions based on the input.

In this problem, the function is defined by:

[tex]g(x) = \left(\frac{1}{2}\right)^{x-3}, x < 2[/tex].[tex]g(x) = x^3 - 9x^2 + 27x - 25, x \geq 2[/tex].

Due to the equal sign, x = 2 is part of the second definition, hence:

g(2) = 2³ - 9(2)² + 27(2) - 25 = 1.

Which means that option C is correct.

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Please help
Step by step

Answers

The consumption of electricity in May based on the model will be 1225kw.

How to calculate the consumption?

The model that's given to calculate the consumption is:

C = 1200 + 5t

May = 5th month

The consumption in May will be:

C = 1200 + 5t

C = 1200 + 5(5)

C = 1200 + 25

C = 1225Kw

In conclusion, the consumption of electricity in May based on the model will be 1225kw.

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The length of AB is 9 centimeters. A dilation with a scale factor of 2 is applied to AB. What is the length of the image AB after the dilation is applied?

Answers

Answer:

18cm

Step-by-step explanation:

Given:

- The length of AB is 9 centimeters

- A dilation with a scale factor of 2

The length of the image AB after the dilation is applied:

9 x 2 = 18

dilation is used to make an image or in this case AB, with a scale factor of 2 means that its doubling in size. If the scale factor was 1/2 that it would be decreasing in size since it will be half of the original size

Find:
Number X. if
3
of x is 12.

Answers

Answer:

x=4

or

x=36

Step-by-step explanation:

I am wondering if you mean 3x=12 or x/3=12

if 3x=12, then x=4

if x/3=12, then x=36

Each painting class Olivia teaches is h hours long. She teaches 6 classes per week. Write an expression that shows the total number of hours she teaches

Answers

Answer:

6h

Step-by-step explanation:

If Olivia teaches 6 classes that are 1 hour, she teaches 6×1 is 6 hours.

If the classes are two hours, she teaches 6×2 is 12 hours.

Try with numbers to see what math operation you are doing. Its times.

6×h is written 6h

6h is the  expression that shows the total number of hours she teaches

What is Expression?

An expression is combination of variables, numbers and operators.

Given,

Each painting class Olivia teaches is h hours long.

The number of classes teached by Olivia in a week is 6.

We need to find an expression that shows the total number of hours she teaches

6h is the required expression.

h is the variable because its value will be changed.

Hence, 6h is the  expression that shows the total number of hours she teaches

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6846 is shared equally between 7 people. How much does each person get

Answers

978 you divide 6846 and 7 and you get 978


I need a the answer please!!

Answers

The slope of the red line is 2/5.

The slope of the blue line is 1/4.

find the sum of n first natural numbers is 496 ,find the number of terms

Answers

Answer:

Number of terms  = 31.

Step-by-step explanation:

Sum of n terms of an A S with first term 1 and common difference 1:-

496 = (n/2)(2(1) + 1(n - 1))

496 = (n/2)(n + 1)

n^2/2 + n/2 = 496   Multiply through by 2:-

n^2 + n = 992

n^2 + n - 992 = 0

(n - 31)(n + 32) = 0

n = 31   (we ignore the negative).

Me colaboran con esta ecuacion 4x+3=3x+5​​

Answers

[tex]\boxed{ x= 2}[/tex]

Solution :

[tex]4x+3=3x+5[/tex]

Subtract 3 from both sides :

[tex]4x + 3 = 3x + 5[/tex]

[tex]4x + 3-3 = 3x + 5-3[/tex]

[tex]4x = 3x + 2[/tex]

Subtract 3x from both sides :

[tex]4x = 3x + 2[/tex]

[tex]4x-3x = 3x + 2-3x[/tex]

[tex]x = 2[/tex]

[tex]\sf{\qquad\qquad\huge\underline{{\sf Answer}}}[/tex]

The value that satisfies the first degree equation is: x = 2.

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf Verification:[/tex]

[tex] \qquad \sf \dashrightarrow42 + 3 = 32 + 5[/tex]

[tex] \: \: \qquad \sf \dashrightarrow 8 + 3 = 6 + 5[/tex]

[tex] \: \: \qquad \sf \dashrightarrow11 = 11[/tex]

Solving a first degree equation

The objective of the problem is to know what is the number that allows the stated equality to be fulfilled, for this it is necessary to clear the value of x.

The formulation is first degree:

[tex] \: \: \: \: \: \: \: \: \: \: \: \boxed{ \Rrightarrow\bf 4x + 3 = 3x + 5}[/tex]

The variables must be grouped in the same term, in this case we will do it in the left term, and the constants (numbers) in the right.

1) Subtract -3x from both terms:

[tex] \qquad \sf \dashrightarrow4x + 3 - 3x = 3x - 3x + 5[/tex]

[tex] \qquad \sf \dashrightarrow \: x + 3 = 5[/tex]

2) Subtract three units for each term:

[tex] \qquad \sf \dashrightarrow \: x + 3 - 3 = 5 - 3[/tex]

[tex] \qquad \sf \dashrightarrow \: {x =2 \: ✔}[/tex]

I hope I've helped : )

-4√x + 5 + 5


I’m not sure how to solve. Radical quadratic function.

Answers

Answer:

si es funcion radical al final se pondra con raiz y las raizes son como potenciacion pero al revez es como multiplicacion y su opuesto en divicion haci que 5 mas 5 es 10 mas 4 es 14 pero sigue al raiz haci que se tiene que buscar una raiz a 14 seria 3,7288 y haci pero si no tenemos entonces una divicion 7 por 2 14 pero no se puede haci que 4 entre 7 la respuesta la pondrias como 4 (imagen de raiz encima del 7) 7

Step-by-step explanation:

espero ayudarte utilice un 64/1 de mi cabeza


The diameter of the circle above is 14 cm. What is the circumference of the circle? Use a = 3.14.
Circumference 2пт
A. 153.86 cm
B. 21.98 cm
C. 43.96 cm
D. 307.72 cm

Answers

Answer:

43.96 or C

Step-by-step explanation:

c=(pi)(d)

pi --> 3.14

d --> diameter (in your case 14.)

c=3.14*14

c= 43.96

Both formulas work, 2(pi)r and (pi)(d)

But, if they give you the diameter then use (pi)(d).

If they give you the radius then use 2(pi)r

find the area of the circle whose diameter is 10 cm

Answers

Answer:

78.55cm^2

Step-by-step explanation:

area of a circle = πr^2

where π= 3.142

r= radius= diameter/2

radius= 10/2= 5

area= 3.142×(5)^2

area= 3.142×25=78.55cm^2

Soo i need yall help rlly bad w it pls

Answers

The total number of inches yards that she have is 6.95 yards

Sum of fractions

Given the following parameters

Amount of red yards = 4.2 inches

Amount of blue yards = 2.75inches

In order to determine the total yards, the sum of the yards is expressed as:

Total yards = 4.2 + 2.75

Total yards = 6.95 yards

Hence the total number of inches yards that she have is 6.95 yards

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Curve sketching procedure Calculus

Answers

Answer:

Step-by-step explanation:

I don't know what is meant by "analyze the function," but I can draw the functions.

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