You roll a six sided die. You are given $8 if a 6 comes up, $2 if a 3, 4, 5 comes up, and
nothing otherwise. Find the expected value of the entries.
Expected Value Table for rolling a six-sided die

You Roll A Six Sided Die. You Are Given $8 If A 6 Comes Up, $2 If A 3, 4, 5 Comes Up, Andnothing Otherwise.

Answers

Answer 1

We want to get the expected value for the given experiment. We will see that the expected value is $2.33

For an experiment with outcomes {x₁, ..., xₙ} each one with probability {p₁, ..., pₙ} the expected value is defined as:

EV = x₁*p₁ + ... + xₙ*pₙ

Here we have 3 outcomes:

x₁ = winning $8x₂ = winning $2x₃ = winning $0.

For x₁ we need to roll a 6, this is a probability of 1 out of 6, then:

p₁ = 1/6

For x₂ we need to roll a 3, 4, or 5 (3 out of 6), then:

p₂ = 3/6

For x₃ we need to roll a 1 or a 2 (2 out of 6) so the probability is:

p₃ = 2/6

Then the expected value is:

EV = $8*(1/6) + $2*(3/6) + $0*(2/6) = $2.33

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Related Questions

express the following fractions as the sum or difference of two fractions (x^2+y^2)/x^4

Answers

Answer:

 [tex]\frac{1}{x^2}[/tex] + [tex]\frac{y^2}{x^4}[/tex]

Step-by-step explanation:

[tex]\frac{x^2 + y^2}{x^4}[/tex] = [tex]\frac{x^2}{x^4}[/tex] + [tex]\frac{y^2}{x^4}[/tex] = [tex]\frac{1}{x^2}[/tex] + [tex]\frac{y^2}{x^4}[/tex]

The solution of the expression (x²+y²)/x⁴ is [(1/x² + y²/x⁴)].

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

The given expression is  (x²+y²)/x⁴. The expression will be solved as,

E =  (x²+y²)/x⁴

Separate the terms into two fractions,

E =  (x²+y²)/x⁴

E = (x²/x⁴) + ( y² / x⁴)

Divide the divisible terms and solve,

E = (1/x² + y²/x⁴)

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Simplify.

(–28xy) ÷ (–4)


−7xy

17ab

−17ab

7xy

Answers

If any doubt leave a comment


PLEASE HELP! No phony answers, thanks! Happy holidays, Merry Christmas!!

Answers

Step-by-step explanation:

(f+g)(x) means we just add the 2 functions, so we have

(x-3) + 2x² = 2x² + x - 3

(f-g)(x) means we subtract g(x) from f(x), so we have

(x-3) - (2x²) = -2x²+x-3

Assuming that the dot signifies a multiplication sign and not a composition  sign, we have

(f*g)(x) = f(x) * g(x)

= (x-3) * 2x²

= 2x³ - 6x²

Plugging -2 in, we get

2(-2)³-6(-2)² = -16 -24 = -40

Plzzz help me it’s due tonight!!!!!

Answers

Answer:

UV=5, VW=5[tex]\sqrt{3}[/tex], and m∠U=60

Step-by-step explanation:

sin 30=UV/10=>0.5=UV/10=>UV=5

VW=√(10²-5²)=√75=5√3

m∠U=180-90-30=60

Pls explain how to solve it! (Will mark brainylist)

Answers

4d I think it is right hope that helps

If 4 Apple pies require 22 apples, how many pies can be made with 77apples?

IT IS WORTH 50 POINTS

Answers

14 apple pies
Explanation:
22/4= 5.5
77/5.5= 14

Answer:

14 apple pies

Step-by-step explanation:

HELP THIS IS URGENT!!!!!!!!!!!!!1Fill in the blank so that the equation has the solution x=3
3x+ =5

Answers

That makes noooo sense booooyyyy

Answer:

y = 3x + 5

Step-by-step explanation:

Since this is a linear function, its graph is a straight line stretching from - infinity to infinity on both x and y axes, hence domain and range is all real numbers from - infinity to infinity.

ASAP HELP *Can a triangle have sides with the given lengths? Explain, showing all the work
9 cm, 11 cm, 15 cm
please Explain

Answers

Answer:

yes

Step-by-step explanation:

For the sides to form a triangle , then the sum of any 2 sides must be greater than the third side

9 + 11 = 20 > 15

9 + 15 = 24 > 11

11 + 15 = 24 > 9

The 3 sides given will form a triangle

Note that

The length of any two sides must be greater than the third side

So

9+11=16>1511+15=26>99+15=24>11

Yes it's a triangle

A milkman bought 40 litres of milk at rs. 26.50 per litre and added 6 litres of water to it. He sold the mixture at rs. 17 per litre. How much did he gain? ​

Answers

cp of 40 l of milk=6.50*40=260

sp of 56 l of mixture=56*7=392

392-260=132

gain%=132/260*100=50.76%

  I need help on 7 and 8 plssssss

Answers

I think the domain and range are infinite
[tex]\huge \cal༆ Answer ༄[/tex]

7. Find domain ~

[tex] \sf - 6 \leqslant x < 5[/tex]

or

[tex] \sf x ∈[ - 6,5)[/tex]8. Find range ~

[tex] \sf - 2 <y \leqslant 7[/tex]

or

[tex] \sf x ∈ (-2 , 7][/tex]


Triangle NLM is reflected over the line segment as
shown, forming triangle ABC. Which congruency
statement is correct?
NLM - CAB
NLM -CBA
NLM - BCA
NLM - BAC

Answers

NLM-CAB would be the right answer

Triangle NLM is reflected over the line segment as shown, forming triangle ABC  then the correct congruency statement is NLM ≅ CAB

What is Triangle?

A triangle is a three-sided polygon that consists of three edges and three vertices.

Triangle NLM is reflected over the line segment and form the  triangle ABC.

Triangle NLM is reflected over the line segment to form triangle ABC. This means that the corresponding sides and angles of the two triangles are congruent.

The reflection over a line segment preserves the orientation of the triangle, so the order of the letters in the names of the triangles should remain the same.

Therefore, triangle NLM is reflected over the line segment as shown, forming triangle ABC  then the correct congruency statement is NLM ≅ CAB

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Please help me with my math homework what is the answer!!!

Answers

Answer:

Step-by-step explanation:

The letters are easy enough.

y^3 determines that 3 ys are needed. y^2 is taken in by the cubed.

x^4 determines that 4 xs are needed. x^3 is part of x^4 and you don't need any more xs

12 and 42 are the parts that will cause the problem. Factor them both into prime factors

12: 2 * 2 * 3

42: 2 * 3 * 7

You need two 2s.

You need one 3

You need one 7

LCD = 2 *2*3 * 7 = 84

X- 7y = -21 2x -14y =-42

Solve by substitution.

Answers

This is the possible solution. If the question isn't set up right Please tell me and I'll fix what needs to be changed. All the best

the given system of equations has no Solution.

What are Systems of equations?

Simultaneous equations, a system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.

There are four methods for solving systems of equations: graphing, substitution, elimination, and matrices.

Given, a system of equations:

X- 7y = -21......(1)

2x -14y =-42.....(2)

From equation 1

x = -21 + 7y

Substitute the value in equation 2

2(-21 + 7y) -14y-14y = -42

Since the given equation are same

Therefore, given equations have no Solution.

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Please answer circle theorem question.
Many thx.

Answers

Answer:

x = 125

Step-by-step explanation:

Tangents from an external point to a circle are congruent , that is

CA = CB

Then Δ ABC is isosceles with base angles being congruent

∠ BAC = ∠ ABC = [tex]\frac{180-70}{2}[/tex] = [tex]\frac{110}{2}[/tex] = 55°

∠ ABC and x are adjacent angles on a straight line and sum to 180° , so

x = 180° - 55° = 125°

Then x = 125

Interest earned: $76
Principal: $800
Interest rate:?
Time: 2 years

Answers

Answer:

19%

interest earned = base × time × rate

interest rate = interest earned/ base × time

76/800*2 = 0.19 = 19%

PLS HELP! 31 POINTS!!)) John plans to practice piano at least 2 1/2 hours this weekend. If he practices 1 1/6 hours on Saturday and 1 1/4 hours on Sunday, will he meet his goal? A. Yes; he will practice a total of 2 5/12 hours, and 2 5/12 > 2 1/2 . B. No; he will practice a total of 2 5/12 hours, and 2 5/12 < 2 1/2 . C. Yes; he will practice a total of 2 7/12 hours, and 2 7/12 > 2 1/2 . D. No; he will practice a total of 2 7/12 hours, and 2 7/12 < 2 1/2 .

Answers

Answer:

2 hours 30 minutes = goal

Saturday = 1 hour 10 minutes

Sunday = 1 hour 15minutes

Total = 2 hours 25 minutes

No he will not meet his goal. He will be short 5 minutes of practice.

Explanatiory:

if I’m wrong, I’m sorry. If I’m right, mark me brainlest!

Answer:

ill see im on the yest rn

Step-by-step explanation:

please answer this, click file, thank you​

Answers

Answer:

the answer is 34°

Step-by-step explanation:

a straight line = 180°

just do 180 - 146 = 34

It’s 34°
The two lines across from another are both equally 146° so it’d be the same for the other one to be 34°

Complete the statement. Round the nearest hundredth if necessary.
6.5L=. Gal

Answers

Answer:1.72Gal

Step-by-step explanation:1 Gal is 3.785 L. 6.5 / 3.785 = 1.72

Please Help Question in picture

Answers

Answer:

i want  to help... but there is no picture :/

Step-by-step explanation:

picture is gone D:

.

At 11:00 A.M. the temperature was 37 °F. At 11:00 P.M. the temperature was -6 °F.
What was the change in temperature between 11:00 A.M. and 11:00 P.M.?

Answers

Answer:

The temperature decreased by 43 degrees

-43

Step-by-step explanation:

Difference means subtraction

37 - (-6) = -43

I hope this helps!

In a bag of candies, the total number of yellow candies and blue candies is 75. The number of yellow candies is
15 more than twice the number of blue candies. How many yellow candies are in the bag?
Help!!

Answers

Answer:

Step-by-step explanation: 2x+15 = 75

                                             2x=60

                                              x=30 blue candies

                                              30 + 15 = 45 yellow candies in the bag

For question 1, find the x- and y-intercept of the line.
-10x -5y=40
A. x-intercept is 5; y-intercept is -10
B. x-intercept is 8; y-intercept is -4
C. x-intercept is -10; y-intercept is 5
D. x-intercept is -4; y-intercept is 8

Answers

The correct answer is D. x is (-4,0) and y is (0,-8)










What is the volume of this container?

Answers

Answer:

64 in 2 is it the answers im not shure

It is 56in^3 because the big box equals 48in^3 and the little box is 8in^3

What is the length of AB?

Answers

Answer:

6

Step-by-step explanation:

I need help with this

Answers

Answer:

What do you need help with? Try uploading a picture or copying the question

PLEASE HELP ASAP
Simple interest:
The length of time for £5000 to earn £1000 if invested at 10 percent per annum

Answers

Answer:

2 years

Step-by-step explanation:

1) principle:$5000

Rate : 10%

S.I = $1000

Therefore length of time =

S.I x 100 divided by Principle x rate

= 1000 x 100 divided by 5000 x 10

Answer= 2 years.

If correct please give brainliest

Stay safe and healthy

Thank You

please help.
with the steps.
just b, please ​

Answers

Answer:

  x² +3x -50 = 0

Step-by-step explanation:

The area expression you got in part (a) is ...

  A = (x +8)(x -5) = x² +3x -40

If the area is to be 10, then x must satisfy the equation ...

  10 = x² +3x -40

  x² +3x -50 = 0 . . . . . . subtract 10 and put in standard form

GRAPHING LINEAR EQUATIONS PLEASE HELP

y=2/5x -3

how do i graph this? i don't know where to start please help!

Answers

Step-by-step explanation:

you can let

x = 0 => y = -3, point ( 0,-3)y = 0 => x = -15/2 = -7.5, point (-7.5,0)

then connect this 2 points

HEEEELLLLLPPP QUICKKK
28° + x-4°+2x=180°

Answers

Answer:

x = 52

Step-by-step explanation:

28 + x - 4 + 2x = 180

Simplify the left side

3x + 24 = 180

Subtract 24 from each side

3x = 156

Divide each side by 3

x = 52


What is NOT the value for p? (Multiple Answers)
9
8
6
7

Answers

The definite value for p is 9.

But how are 8, 7, or 6 the value of p?

I personally think that you should contact the teacher who made this question. He/She probably meant to say What IS the value for p?

You use algebra to get the value for p:

20p-45 = 9p + 5p

Start solving from there.

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