A bag contains 10 blue marbles, 3 yellow marbles, and 12 orange marbles. If a blue marble is drawn you win $10. If a yellow marble is drawn you win $15. if an orange marble is drawn you lose $10. it cost $1 to play. Should you play the game?

A Bag Contains 10 Blue Marbles, 3 Yellow Marbles, And 12 Orange Marbles. If A Blue Marble Is Drawn You

Answers

Answer 1

Answer:

The correct option is -

Yes, because the Expected value is 1 and not negative which would imply that there is a chance of winning.

Step-by-step explanation:

Given - A bag contains 10 blue marbles, 3 yellow marbles, and 12 orange marbles. If a blue marble is drawn you win $10. If a yellow marble is drawn you win $15. if an orange marble is drawn you lose $10. it cost $1 to play.

To find - Should you play the game?

Formula used -

Expected value , E[x] = ∑x p(x)

where p(x) is the probability.

Proof -

Given that,

Total blue marbles in a bag = 10

Total yellow marbles in a bag = 3

Total orange marbles in a bag = 12

So,

Total number of marbles in a bag = 10 + 3 + 12 = 25

Now,

Probability of getting blue marble = [tex]\frac{10}{25}[/tex]

Probability of getting yellow marble = [tex]\frac{3}{25}[/tex]

Probability of getting orange marble = [tex]\frac{12}{25}[/tex]

So,

Expected value , E[x] = ∑x p(x)

                                   = (10)( [tex]\frac{10}{25}[/tex]) + (15)([tex]\frac{3}{25}[/tex]) + (-10)([tex]\frac{12}{25}[/tex])

                                   = [tex]\frac{100}{25} + \frac{45}{25} - \frac{120}{25}[/tex]

                                   = [tex]\frac{100 + 45 - 120}{25}[/tex]

                                   = [tex]\frac{25}{25}[/tex]

                                   = 1

So,

Expected value = 1

So,

The correct option is -

Yes, because the Expected value is 1 and not negative which would imply that there is a chance of winning.


Related Questions

Write the equation of the line that passes through the points (4,5) and (4, -6). Put
your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.

Answers

The equation that passes through these points is x = 4

Frozen motts sticks cost $.022 each. If there are 6 sticks in on order, what is the portion cost for an order of motts sticks?

Answers

Answer:

$ 1.32

Step-by-step explanation:

Given :-

Cost of each Mott's Stick = $0.22 .

Now there are 6 sticks in an order . So the cost of six sticks will be ,

→ Cost = $ 0.22 × 6

Cost = $ 1.32

Hence the cost of an order of sticks is $ 1.32

You have a piggy bank that contains 2 pennies, 4 nickels, 8 dimes, and 6 quarters. Find the probability of picking a coin worth more than 10 cents. .

Answers

Answer:

The probability is 3/10

Step-by-step explanation:

So a quarter is the only coin that’s worth more than 10¢ so 6/20 = 3/10

A bag contains 5 red marbles, 3 blue marbles and 6 green marbles. If two marbles are drawn out of the bag, what is the exact probability that both marbles drawn will be green?

Answers

Answer:

15/91

Step-by-step explanation:

P(G,G) = 6/14 x 5/13 = 15/91

EASY MATH PLEASE HELP!

Maddie cuts a 6 yard length of ribbon into 1/3 yard pieces. How many cuts did she make?

Answers

Answer:

18

Step-by-step explanation:

this is the answer happy now

please help quick!!!!!!

Answers

Step-by-step explanation:

3x=x+70(exterior angle of a triangle is equal to 2 opposite interior angles)

or,2x=70

or,x=70/2

or,x=35

3x=3×35

=105°

plse give brainliest if u like with this solution.

Pl help it’s for a grade I will give Brainly if right

Answers

Answer:

I am pretty sure its 1.99

Step-by-step explanation:

12/10.99= ~1.09

24/25.99=~0.80

1.09+0.80=1.99

The table below shows the distribution of eye color and hair color for the 60 students in
a chorus.

a. how many students in the chorus have hair? show or explain how you got your answer.
b. what fraction of the students with blond hair have hazel eyes? show or explain how you got your answer.
c. what percentage of all the students have both green eyes and red hair. show or explain how you got your answer.
d. what percentage of all the students have green eyes or red hair? show or explain you got your answer

Answers

Answer:

Step-by-step explanation:

What are the solutions of this quadratic equation?

6x^2+6=12x+18


Answers

I think your answer is a?

Answer pls? A b or c ??

Answers

I think b 2 I don’t know for sure

Answer:

Step-by-step explanation:

I am pretty sure the answer is b

Chi has a rectangular window planter that is 8 inches high, 18.5 inches long, and 7 inches wide. If she fills the planter halfway with soil, how many cubic inches of soil are in the planter?
129.5 cubic inches
259.0 cubic inches
518.0 cubic inches
1,036.0 cubic inches

Answers

Answer:

518

Step-by-step explanation:

you have to divide the hieght by 2

Do i need to flip my sign? -3x ≥ 12

Answers

Answer:

yes because 3 is in - and it is less than 0

Answer:

Yes

Step-by-step explanation:

-3x ≥ 12

Divide both sides by -3

When multiplying or dividing by a negative the inequality must be reversed

x ≤ -4

A prism has a length of 3 and one-half centimeters, width of 6 centimeters, and height of 7 and one-half centimeters.
Find the volume of the rectangular prism using the formula V = Bh.

The area of the base, B, equals
cm2.
The volume of the prism is
cm3????

Answers

Answer:

The area of the base, B, equals  

✔ 21

cm2.

The volume of the prism is  

✔ 157 1/2

cm3.

Step-by-step explanation:

i took the test

The volume of prism for the given condition is 147 cm³.

What is volume of prism?

A prism is a polyhedron comprising an n-sided polygon base, a second base which is a translated copy of the first, and n other faces, necessarily all parallelograms, joining corresponding sides of the two bases.

Here, Prism(Rectangle)

          Length(L) = 3.5 cm.

          Width(W) = 6 cm

         Height (H) = 7 cm

Volume = Area of Rectangle x Height

Volume of Prism: V = L x W x H

                             V = 3.5 X 6 X 7

                             V = 147 cm³

Thus, The volume of prism for the given condition is 147 cm³.

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Exponential functions are in the form f(x)=a(b)x−h+k. What does a negative "a" value do the graphed equation?

Moves the equation "a" spaces right
Moves the equation "a" spaces right

Moves the equation "a" spaces left
Moves the equation "a" spaces left

The "a" value can't be negative
The "a" value can't be negative

Reflects the graph over the y-axis
Reflects the graph over the y-axis

Reflects the graph over the x-axis

please answer as soon as possible for brainlist

Answers

That transformation would reflect the graph over the X axis

I need help please help me!!!

Answers

Answer:

-15

Step-by-step explanation:

Multiplying 3 * -5 gives you -15

Answer:

-15

Step-by-step explanation:

divide by 3

you'll should get -15

PLEASE ANSWER FAST

Answers

Answer:

120 in ^3

Step-by-step explanation:

It’s right and You can use a app on the computer called the length calculator

Brandon took a 50-question exam worth a total of 160 points. There were x two-point questions and y five-point questions.

Answers

Answer:

there were 20 two point questions =

there were 30 five point questions

Step-by-step explanation:

Brandon took a 50-question exam worth a total of 160 points. There were x two-point questions and y five-point questions. How many of each type of question were on the exam?

x + y = 50 eqn 1

2x + 5y = 160 eqn 2

this can be solved using simultaneous equation

multiply eqn 1 by 2

2x + 2y = 100 eqn 3

subtract eqn 3 from 2

3y = 60

y = 20

Substitute for y in eqn 1

x + 30 = 50

x = 20

With the given volume of 294 π, what is the radius?
Hight given = 18

Answers

Answer:

[tex]\displaystyle r = 7[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Geometry

Volume of a Cone Formula: [tex]\displaystyle V = \frac{\pi}{3} r^2h[/tex]

r is radiush is height

Step-by-step explanation:

Step 1: Define

Identify variables

V = 294π

h = 18

Step 2: Solve for r

Substitute in variables [Volume of a Cone Formula]:                                    [tex]\displaystyle 294 \pi = \frac{\pi}{3} r^2(18)[/tex]Multiply:                                                                                                             [tex]\displaystyle 294 \pi = 6 \pi r^2[/tex][Division Property of Equality] Divide 6π on both sides:                               [tex]\displaystyle 49 = r^2[/tex][Equality Property] Square root both sides:                                                   [tex]\displaystyle 7 = r[/tex]Rewrite:                                                                                                             [tex]\displaystyle r = 7[/tex]

What is the answer for ½+¼⅝ What is the answer for ½+¼⅝ What is the answer for ½+¼⅝ What is the answer for ½+¼⅝

Answers

Answer:

1 3/8

Step-by-step explanation:

We are to add 1/2 + 1/4 + 5/8

[tex]\frac{1}{2} + \frac{1}{4} + \frac{5}{8}[/tex]

[tex]\frac{4 + 2 + 5}{8}[/tex] = 11/8 = 1 3/8

Answer: 1 3/8

Step-by-step explanation:

A lampshade has a height of 12cm and upper and lower diameters of 10cm and 20cm A)what area of material is required to cover that curved surface of the frustum B)what is the volume of the frustum (Give both answers in terms of pie)

Answers

Answer:

[tex](a)\ Area = 195\pi[/tex]

[tex](b)\ Volume = 700\pi[/tex]

Step-by-step explanation:

Given

[tex]h = 12[/tex]

[tex]d_1 = 10[/tex] --- lower diameter

[tex]d_2 = 20[/tex] --- upper diameter

Solving (a): The curved surface area

This is calculated as:

[tex]Area = \pi l(r_1 + r_2)[/tex]

Where

[tex]r_1 = 0.5 * d_1 = 0.5 * 10 = 5[/tex] --- lower radius

[tex]r_2 = 0.5 * d_2 = 0.5 * 20 = 10[/tex] --- upper radius

And

[tex]l = \sqrt{h^2 + (r_1 - r_2)^2[/tex] ---- l represents the slant height of the frustrum

[tex]l = \sqrt{12^2 + (5 - 10)^2[/tex]

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

[tex]l = \sqrt{144 + 25[/tex]

[tex]l = \sqrt{169[/tex]

[tex]l = 13[/tex]

So, we have:

[tex]Area = \pi l(r_1 + r_2)[/tex]

[tex]Area = \pi * 13(5 + 10)[/tex]

[tex]Area = \pi * 13(15)[/tex]

[tex]Area = 195\pi[/tex]

Solving (b): The volume

This is calculated as:

[tex]Volume = \frac{1}{3}\pi * h * (r_1^2 + r_2^2 + (r_1 * r_2))[/tex]

This gives:

[tex]Volume = \frac{1}{3}\pi * 12 * (5^2 + 10^2 + (5 * 10))[/tex]

[tex]Volume = \frac{1}{3}\pi * 12 * (25 + 100 + (50))[/tex]

[tex]Volume = \frac{1}{3}\pi * 12 * (175)[/tex]

[tex]Volume = \pi *4 * 175[/tex]

[tex]Volume = 700\pi[/tex]

please help!! 20 points if u just comment to take my points or guess i’ll make sure ur account gets banned. thank you!!

Answers

Answer:

I believe it's A and B

Step-by-step explanation:

What is the exponential regression equation that fits these data? y x 1 4 2 8 3 27 4 85 5 250 6 600
A. y= 41.32x2 - 181.7x+ 171.6
B. y = 2.84(1.22%)
C. y = 1.22(2.84%)
D. y = 107.54x - 214.06

Answers

Answer:

its is C because the other ones are obvious wrong. So it has to be C plus i did this test.

Step-by-step explanation:

The exponential regression equation that fits the given data is [tex]y = 0.755 * e^{(0.071 * x)}[/tex]

What is a logarithmic function?

The opposite of an exponential function is a logarithmic function. A log function and an exponential function both use the same base. An exponent is a logarithm. f(x) = bx is how the exponential function is expressed. The formula for the logarithmic function is f(x) = log base b of x.

Using the first and last data points (4,1) and (600,6), we can set up a system of two equations in two unknowns:

ln(y) = ln(a) + b * x1

ln(y') = ln(a) + b * x2

where x = 4, y = 1, x' = 600, and y' = 6. Taking the difference between the two equations, we get:

ln(y'/y) = b * (x' - x)

Solving for b, we get:

b = (1/(x' - x)) * ln(y'/y)

Substituting the values, we get:

b = (1/(600-4)) * ln(6/1)

b = 0.071

To find ln(a), we can use either of the two equations with the known values of ln(y) and b. Using the first equation, we get:

ln(y) = ln(a) + b * x

Substituting the values, we get:

ln(1) = ln(a) + 0.071 * 4

ln(a) = -0.279

Now that we have the values of ln(a) and b, we can convert them back to the exponential equation:

ln(y) = -0.279 + 0.071 * x

y = e^(-0.279) * e^(0.071 * x)

y = 0.755 * e^(0.071 * x)

This is the exponential regression equation that fits the given data.

Learn more about logarithmic functions here:

https://brainly.com/question/3181916

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Crystal has 94 compact discs that she wants to put into boxes. Each of the
boxes that she brought home holds 16 discs. How many of these boxes will
she need for all of her discs?
O A. 94 - b = 16
O B. 16b > 94
O C. 16b< 94
O D. b + 16 = 94

Answers

I say D you should probably wait for another answer though
D is the answer b + 16 = 94 :)


Silas took 17 bags of glass to the recycling center. He still has 8 bags of plastic to take to the recycling center. Which equation could
be used to find x, the total number of bags of glass and plastic Silas will take to the recycling center?
A.x-8=-17
B.17-x=8
C. X+17=8
D. X-17=8

Answers

I think it’s C. X+17 = 8

in a school ,the number of boys who play cricket is 3 times as much as a number of boys who play tennis. if 12 boys, who play cricket, play tennis instead, the number of boys who play each of these sports would be the same. find the number of boys who play tennis

Answers

Answer:

The number of boys who play tennis is 36.

Step-by-step explanation:

Let the number of boys who play tennis is x.

number of boys who play cricket = y

x = 3 y..... (1)  

12 boys plays both cricket and tennis.

According to the question,

x - 12 = y + 1 2

3 y - 12 = y + 12

2 y = 24

y = 12

So, the number of boys who plays tennis is x = 3 x 12 = 36.  

If you are given the equation for a circle as (x+9)2+(y+7)2=289
what is the center and radius?

Answers

Center:(-9,-7)
Radius: square root of 289=17

True or False: △XYZ has sides XY, YZ and XZ that measure 15 cm, 20 cm, and 25 cm respectively is a right triangle.
Please answer please

Answers

Answer:

True

Step-by-step explanation:

As a right triangle, it follows the Pathagorem Therom. All you have to do is multiply 15 x 15 = 225 and 20 x 20 = 400, then finally, you would do 25 x 25, which is the biggest number of all, and get 625. Since 225 + 400 = 625, this follows the Pathagorem Therom.

What property of real numbers does each statement demonstrate? 2(x + 6) = 2(x) + 2(6)

Answers

It is the distributive property.

Can some one help me out my grades are bad

Answers

This user has died... Try another time


[tex]7 \div 2[/tex]

Answers

The correct answer is 3.5

Answer:

3.5

Step-by-step explanation:

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