You spin each spinner once. You get $50 if you spin a 2 and a vowel. You get $25 if you spin a 2 and a consonant. You get $5 if you spin a 1 and a vowel. Everything else earns $0. What is the expected value of this game?
$8.75
$12.50
$80
$10.25​

You Spin Each Spinner Once. You Get $50 If You Spin A 2 And A Vowel. You Get $25 If You Spin A 2 And

Answers

Answer 1

The expected value of the game is $8.75.

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

The expected value is the sum of each outcome multiplied by it's probability.A probability is the number of desired outcomes divided by the number of total outcomes.

The probability of spinning a 2 and a vowel is: [tex]\frac{1}{4} \times \frac{2}{8} = \frac{2}{32}[/tex].Thus, [tex]\frac{2}{32}[/tex] probability of getting $50.

The probability of spinning 2 and a consonant is: [tex]\frac{1}{4} \times \frac{6}{8} = \frac{6}{32}[/tex]Thus, [tex]\frac{6}{32}[/tex] probability of getting $25.

The probability of spinning 1 and a vowel is: [tex]\frac{3}{4} \times \frac{2}{8} = \frac{6}{32}[/tex].Thus, [tex]\frac{6}{32}[/tex] probability of getting $5.

32 - (6 + 6 + 2) = 18, thus, [tex]\frac{18}{32}[/tex] probability of earning $0.

The expected value is:

[tex]E = \frac{2}{32}(50) + \frac{6}{32}(25) + \frac{6}{32}(5) + \frac{18}{32}(0)[/tex]

[tex]E = \frac{100 + 150 + 30}{32}[/tex]

[tex]E = \frac{280}{32}[/tex]

[tex]E = 8.75[/tex]

The expected value of this game is of $8.75.

A similar problem is given at https://brainly.com/question/24961584


Related Questions

Which of these a example

Answers

Answer:

D`

Step-by-step explanation:

The answer would be D because 40 is twice as much as 20. We also double the number of hours. So instead of having the ratio of 20:1 we have the ratio 40:2 (Miles : Hours)

lolol lfeofviponvfnfuibouigb

5z^3 – 2z^4 – 9z^2 + 2
What is the degree of the polynomial?

Answers

The answer is 4

And how did you not learn this in Highschool

Three
consecutive
inirgers
17
The length of a flat screen TV is 5 inches less than 3 times its width. If the perimeter of the TV is
150 inches, find the dimensions.

Answers

W= width
To find dimensions 3x-5 + x + x + 3x-5 = 150
Perimeter = 2l + 2w so that’s why we repeated
So now we simplify
8x - 10 = 150
Add 10 to both sides
160 = 8x
Divide 8 from both sides
X=20
So width is 20 inches. and to find length it is:
3(20)-5 = 60 -5
=55
Length = 55 inches
Can I get brainliest answer.

Y=arccos(1/x)

Please help me do them all! I don’t know derivatives :(

Answers

Answer:

sorry bro I even don't know coz I am class 7

f(x)=10x^2-5x-3, evaluate f(-3)

Answers

Answer:

f(-3)= 10(-3)^2 - 5(-3) - 3

       =90 + 15 -3

f(-3) = 102

Step-by-step explanation:

X= $25,000

1,500+.2(x-10,000)

Answers

Answer:

x-525000+0

Step-by-step explanation:

Enter the number 10.333333333333 rounded to the nearest hundredth (two decimal places):

Answers

Answer: 10.33

Explanation: The 3 in the thousandths place is less than 5 so the number in the hundredths place stays the same.

Hello! I would like some help. Thank you!
Find the length of the right triangles other leg. Round to the nearest tenth. Leg=10

A. 6.6 ft
B. 15.6 ft
C. 43.6 ft
D. 2ft

Thank you!!!

Answers

Answer:

A. 6.6 ft

Step-by-step explanation:

Data were recorded for a car’s fuel efficiency, in miles per gallon (mpg), and corresponding speed, in miles per hour (mph). Given the least-squares regression line, , what is the fuel efficiency for a speed of 60 mph?

3.65 mpg
33.90 mpg
36.52 mpg
38.55 mpg

Answers

The least-squares regression line equation gives the line that approximate the relationship between the variables in the fuel efficiency data

The fuel efficiency when the speed is 60 mph is approximately 38.55 mpg.

Reason:

The given least-squares regression line equation is presented as follows;

ln(Fuel Efficiency) = 1.437 + 0.541 × ln(speed)

Required:

The value of the fuel efficiency for a speed of 60 mph.

Solution:

The general form of the least-squares regression line equation is [tex]\hat y[/tex] = a + b·x

Where, in the current question, we have;

[tex]\hat y[/tex] = The predicted value = ln(Fuel Efficiency)

a = The y-intercept = 1.437

b = The slope = 0.541

x = The input value = ln(speed)

When the speed = 60 mph, we have;

ln(Fuel Efficiency) = 1.437 + 0.541 × ln(60) = 3.65204040816

Therefore;

[tex]Fuel \ Efficiency = e^{(1.437 + 0.541 \times ln(60))} \approx 38.55[/tex]

The fuel efficiency when the speed is 60 mph ≈ 38.55 miles per gallon

Learn more here:

https://brainly.com/question/14341438

Answer:

the person above me is correct.

Step-by-step explanation:

PLEASEEE!! HEPPPP!!

It takes Shonda of an hour to dry one load of laundry in her dryer. How many hours will it take her to dry 4 loads of laundry?

A. 1/5
B. 1 3/5
C. 3 1/5
D. 4/5​

Answers

Shonda takes an hour to dry one load of laundry.No of loads =4

No of hours

[tex]\\ \sf\longmapsto 4(1)[/tex]

[tex]\\ \sf\longmapsto 4 hours[/tex]

None of the above

In the graph below, what are all values of x
for which y = 0?
02
4
00
MA
plss hurry

Answers

The answer is positive 4

Use polar coordinates to find the volume of the given solid.
Below the plane
2x + y + z = 4
and above the disk
x2 + y2 ≤ 1

Answers

Using polar/cylindrical coordinates, we take

x = r cos(t )

y = r sin(t )

z = z

so that

dV = dx dy dz = r dr dt dz

The solid is given by the set

D = {(x, y, z) : x ² + y ² ≤ 1 and 0 ≤ z ≤ 4 - 2x - y}

or in cylindrical coordinates,

D = {(r, t, z) : 0 ≤ r ≤ 1, 0 ≤ t ≤ 2π, and 0 ≤ z ≤ 4 - 2r cos(t ) - r sin(t )}

Then the volume of the solid is

[tex]\displaystyle \iiint_D \mathrm dV = \iiint_Dr\,\mathrm dr\,\mathrm dt\,\mathrm dz \\\\ = \int_0^{2\pi} \int_0^1 \int_0^{4-2r\cos(t)-r\sin(t)} r\,\mathrm dz\,\mathrm dr\,\mathrm d t \\\\ = \int_0^{2\pi}\int_0^1 (4r-2r^2\cos(t)-r^2\sin(t))\,\mathrm dr\,\mathrm dt \\\\ = \int_0^{2\pi} \left(2 - \frac23 \cos(t) - \frac13 \sin(t)\right) \,\mathrm dt \\\\ = \boxed{4\pi}[/tex]

The volume of the given solid below the plane 2x + y + z = 4 and above the disk x2 + y2 ≤ 1 is 4π.

What is the volume of the solid in polar coordinates?

The volume of the solid in polar coordinates can be calculated by the double integral in polar coordinates.

[tex]V = \iint_R f(x,y) \,dA.\\[/tex]

Similarly, by polar coordinates,

x = r cost

y = r sint

z = z

we get, dV = dx dy dz = r dr dt dz

The solid is given

D = {(x, y, z) : x ² + y ² ≤ 1 and 0 ≤ z ≤ 4 - 2x - y}

or in polar coordinates,

D = {(r, t, z) : 0 ≤ r ≤ 1, 0 ≤ t ≤ 2π, and 0 ≤ z ≤ 4 - 2r cos(t ) - r sin(t )}

The volume of the solid is

[tex]\rm \int \int\int\ dV = \int \int\int\ rdr dt dz\\ \rm = \int\limits^{2\pi}_0\int\limits^1_0 \int\limits^{4-2rcost-rsint}_0 rdr dt dz\\\rm =\int\limits^{2\pi}_0\int\limits^1_0 {4r-2r^{2} cost-r^{2} sint} dr dt\\\rm =\int\limits^{2\pi}_0( 2-2/3cost-1/3sint) dt\\\rm =4\pi[/tex]

Hence, The volume of the given solid below the plane 2x + y + z = 4 and above the disk x2 + y2 ≤ 1 is 4π.

Learn more about the volume of the solid;

https://brainly.com/question/12649605

True or False? No matter how the colonial government was setup, England had the ultimate say within the colonies

Answers

True I think but I hope you get right

Answer:

true

Step-by-step explanation:

England claimed the colonies, so they ruled over them.

The volume of a rectangular prism is
represented by the expression x3 + 5x2 - 8x -
48 If the length is (x – 3) and the height and
width are equal, what is the width of the prism?
(x + 4)
(x-4)
(x - 2)
(x + 2)
plsss hurry

Answers

Answer:

[tex]x+4[/tex]

Step-by-step explanation:

This question is essentially asking: [tex]p(x)^2*(x-3)=x^3+5x^2-8x-48[/tex]. Find [tex]p(x)[/tex].

The left hand side can be factored into [tex](x-3)(x+4)^2[/tex] by the rational root theorem and polynomial division.

We can then divide both sides of the equation to get [tex]p(x)^2=(x+4)^2[/tex].

Finally, we take the square root of both sides to obtain [tex]p(x)=x+4[/tex].

So, the answer is [tex]\boxed{x+4}[/tex]

If RS = x + 2 and ST = 2x, what is ST?

Answers

Answer:

ST = 2x

Step-by-step explanation:

if not please elaborate on the question.

Tara has 3 dogs and 4 cats.
The dogs have a mean weight of x kg.
The cats have a mean weight of y kg.
Write down an expression, in terms of x and y, for the mean weight of all 7 of Tara's pets.

Answers

Answer:

3x+4y = the weight of all 7 of Taras pets

Which type of tax is income tax?​

Answers

Answer:

B.) Progressive

Step-by-step explanation:

Its schedule of marginal tax rates imposes a higher income tax rate on people with higher incomes, and a lower income tax rate on people with lower incomes. The percentage rate increases at intervals as taxable income increases.

It would be B progressive

simplify : (2x^3 - 10x^2 + 5x +14) / (x-2)

Answers

Basically it is (2x^2-6x-7)*(x-2)^2

List all the positive even numbers less than 10:

Answers

Answer is

2, 4, 6, 8

A cinder block is sitting on a platform 20 m high. It weighs 79 kg. The block has _______ energy.​

Answers

Answer:

This cinder block has gravitational potential energy.

This cinder block has 15 484 joules of potential energy

Step-by-step explanation:

PE = mass*gravity*height and g= 9.8 m/s^2

PE = 79 * 9.8 * 20

PE = 15 484

Does this equation have exactly one solution ​

Answers

Answer:

[tex]13x + 7 = 9x - 33 + 4x \\ 7 + 33 = 13x - 13x \\ \\ 40 = 0 \\ \\ no[/tex]

help pls. with explanation

Answers

Answer:

the answer is infinity....

Does this equation have a solution?

Answers

No not at all it does not at all

Hiiii a little help here plz !!!!

Answers

well you see I'm supposed to answer this with 20 character so my bad for the long response, but I'd go with C

me ayudan a resolver esto?

Answers

Step-by-step explanation:

es 1

6/9+2/3+10/2(5)=

6+6+45/9=

57/9

es 2

-3/6-2/4-10/5(2)=

-6-6-24/12=

36/12=3

es 3

15/8-3/2+8/9=

135-108+64/72=

91/72

A certain drug is made from only two ingredients: compound A and compound B. There are 3 milliliters of compound A used for every 5 milliliters of compound B. If a chemist wants to make 408 milliliters of the drug, how many milliliters of compound A are needed?

Answers

Answer:

153

Step-by-step explanation:

The formula is 3 mL of A to 5 mL of B.

Let's say the chemist uses just the numbers in the formula.

Add 3 mL of A to 5 mL of B.

3 mL + 5 mL = 8 mL

The chemist ends up with 8 mL of the drug.

He really want 408 mL.

408 mL is how many times greater than 8 mL?

408/8 = 51

He needs to use 51 times the numbers in the formula.

51 * 3 mL of A + 51 * 5 mL of B =

= 153 mL of A + 255 mL of B

= 408 mL of the drug

Answer: 153

Write the polynomial that has factors of -15 and 3.

Answers

Answer:

Find the GCF of all the terms in the polynomial.

Express each term as a product of the GCF and another factor.

Use the distributive property to factor out the GCF.

Step-by-step explanation:

I need help please! (23)(−98)(−45)(−1)

Answers

Answer:

−101430

Step-by-step explanation:

Pictomath lol

if Austin burns 120 calories per 30 minutes of weight training how many calories would he burn in 10 minutes?

please help I have a test in 1 hour and I need to know this by then!

Answers

Answer:

40 calories per 10 min

Step-by-step explanation:

Because 30 divided by 3 is 10 and 120 divided by 3 is 40

if f(x)=4x-2/3 what would f(a+3) be​

Answers

Answer:

it will look like this 4(a+3)-2/3

Step-by-step explanation:

look since the equation "a+3" replaced for the place of "x" in f(x), you replace it on the equation "4x- 2/3" and just solve

Answer:

Step-by-step explanation:

Id..k how to help u sorry

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