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
Answers
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
What is 39,800,000 in scientific notation? A. 3.98 x 10 B. 398 x 10 C. 3.98 x 10 D. 39.8 x 10
Answers
Answer:
3.98 x 10^7
Step-by-step explanation:
Answer:
3.98 x 10⁷Review:
What is scientific notation: It is a number that is between 1-10 and is written in exponents.
Instruction:
We need to re-write the number "39,800,000" that is between 1-10 and is written in exponents.
Solution:
=> 39,800,000 = 398 x 10⁵This is still not in scientific notation form because it is not between 1-10. Let's simplify further.
=> 398 x 10⁵ = 3.98 x 10⁵⁺²=> 3.98 x 10⁷This is now in scientific notation form because it follows the 2 reasons to form a scientific notation.
Conclusion:
Therefore, 3.98 x 10⁷ is the number in scientific notation.
[tex]BrainiacUser1357[/tex]
HURRRYYYY! I ONLY HAVE 3 MINUTES.
Answers
= 1 2x/4 - 1 3/4
So it’s C!
go go go!
Hope this helps
brainliest and a like is much appreciated!
A 6th grade class did a weekend fitness challenge. Each student set a goal of `75` minutes of fitness. Luca exercised for `54` minutes. What percent of the goal did he achieve?
Answers
Answer:
The answer is 72%
Step-by-step explanation:
54 out of 75 is a percentage of 72%.
[tex]\frac{54}{75} = 72[/tex]
Mark me brainliest if possible, it's always appreciated!
Hope this helps!
Have a great day/night/afternoon!
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4x + 7 = 6x + 4. what is this answer step by step?
Answers
[tex]4x+7=6x+4\\\\\implies 6x -4x = 7-4\\\\\implies 2x = 3\\\\\implies x =\dfrac 32[/tex]
Answer:
x= 3/2
Step-by-step explanation:
4x+7=6x+4
Step 1: Subtract 6x from both sides.
4x+7−6x=6x+4−6x
−2x+7=4
Step 2: Subtract 7 from both sides.
−2x+7−7=4−7
−2x=−3
Step 3: Divide both sides by -2.
-2x=-3
-2 -2
=
3/2
Meredith is 3 times as old as Adam. Six years from now, she will be twice as old as Adam will be then. How old is Adam now
Answers
Answer:
A=6
Step-by-step explanation:
M=3A
M+6=2(A+6) M+6=2A+12 M=2A+6
System of equations:
M=3A Subtract
M=2A+6
0=A-6
A=6
Tell whether the ordered pair is a solution to the system.
(-1, -2) 3x + 5y = 3
-9x - 8y = -9
no
yes
Answers
Answer:
no
Step-by-step explanation:
no. substitute -1 for x and -2 for y.
the first one is -1 - 10
this equals -11 not 3
what inequality does the number line graph represent
Answers
Answer: what number line
Step-by-step explanation:
There were approximately 16 million visitors to Disneyland in 2012. If the theme park is open every day of the year, about how many people visit per day?
Answers
It is estimated that 89% of senior citizens suffer from sleep disorders and 9% suffer from anxiety. Moreover, 5% of senior citizens suffer from both sleep disorders and anxiety.
(a)Find the probability that a senior citizen suffers from anxiety, given that he or she has a sleep disorder. Round your answer to the nearest hundredth.
(b)Given that a senior citizen suffers from anxiety, what is the probability that he or she also suffers from a sleep disorder? Round your answer to the nearest hundredth.
Answers
For a;
[tex]P(a | sd) = p(a AND sd)/P(sd) = 0.06/(0.89) = 0.674[/tex]
For b;
[tex]P(ds | a) = P(ds AND a)/P(a) = 0.06/0.09 =\frac{2}{3}[/tex]
If my calculations are incorrect, then sorry ;/
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I need a fast answer because I’m about to get on a plane
Answers
Answer:
C
Step-by-step explanation:
-6 is less than 7
solve the inequality and graph its solution.
Answers
Answer:
D
Step-by-step explanation:
Hope this helped! :D
The sum of three times a number and 5 is 32
Answers
Answer:
The number is 9.
Hope you could get an idea from here.
Doubt clarification - use comment section.
[tex]\huge{\purple{\underline{\underline{\bf{\pink{ANSWER:-}}}}}}[/tex]
Let the no. be x.
[tex]:\implies\tt{3x + 5 = 32} \\ \\ \\ :\implies\tt{3x = 32 - 5} \\ \\ \\ :\implies\tt{3x = 27} \\ \\ \\ :\implies\tt{x = \frac{27}{3} } \\ \\ \\ :\implies\tt{x = 9}[/tex]
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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Pls help right answer gets brainliest
Answers
Answer:
x=3/2
Step-by-step explanation:
.D .I
9x 7x+3
.C .E .H .J
7x+3=9x
-7x -7x
-------------
3=2x
-- --
2 2
x=3/2
Check
9(3/2)=13.5
7(3/2)+3=13.5
Use the distance formula to answer the question:
What is the distance between (5,9), (1, 6)?
Answers
Step-by-step explanation:
The formula is Distance=√(x2-x1)²+(y2 -y1)²
x1 is 5, x2 is 1, y1 is 9, y2 is 6
D = √( 1-5)² +(6-9)²
D = √(-4)²+(-3)²
D = √16+9
D = √25
D = 5 units
7.
Which of the following is a prime number between 80 and 90?
OA. 85
B.
86
O C. 81
OD
83
HELP!!
Answers
Answer:
D) 83 is the answer. this is because it doest divide more then 2wice like the rule
Answer:
D TRUST ME
Step-by-step explanation:
700 people attended a football game. If 20% of the people who attended were teenagers, how many teenagers attended the game?
Plz. Helppp me what the answer???
Answers
700/10=70
70=10%
70x2=140
140=20% :))
Jason's new business will start making a profit when he sells more than 20 items. Which graph best represents this situation?
Answers
Answer:
I- where is the graph
Step-by-step explanation:
Answer:
It's A the first graph
Step-by-step explanation:
Solve for x help me please****
Answers
Answer:
2x-10=x
take -10 to the other side it becomes +10
take +x to the other side where there is 2x it becomes-xevaluate 2x-x=xso x=101. If the spinner below is spun once, find the
probability of a number less than 10
Answers
Answer:
5% chance
Step-by-step explanation:
could some one answer this
Answers
Answer:
12
Step-by-step explanation:
So she went there 4 times. Each time, she pays for the salad itself (we don't know how much) and she also leaves a 1,50 dollar tip. All together, she paid 54 dollars.
-> TIPS: 4x 1,50= 6 (dollars)
-> SALADS: 54 (total amount she paid) - 6 (tips) = 48 (all the 4 salads she bourght)
-> 1 SALAD: 48/4=12
-----------linear equation:-------------
54 = 4 x 1,5 + 4 x c
54 = 6 + 4c
48 = 4c
12 = c
Tony Peyton, age 20, would like to have $1,000,000 by the time he is 65 years of age. If Tony could earn 6.9% annual interest compounded monthly, how much must he invest now to have $1,000,000 by the time he is 65?
Answers
Using compound interest, it is found that he must invest $45,225 now.
Compound interest:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year. t is the time in years for which the money is invested or borrowed.In this problem:
He wants to have $1,000,000 in 65 - 20 = 45 years, hence [tex]t = 45, A(t) = 1000000[/tex].6.9% annual interest, hence [tex]r = 0.069[/tex].Compounded monthly, hence [tex]n = 12[/tex].Then:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]1000000 = P\left(1 + \frac{0.069}{12}\right)^{12(45)}[/tex]
[tex]P = \frac{1000000}{(1.00575)^{540}}[/tex]
[tex]P = 45225[/tex]
He must invest $45,225 now.
To learn more about compound interest, you can take a look at https://brainly.com/question/25781328
Answer:
He must invest $45,225
A patio measures 120 cm long and 70 cm wide. If a tile measures25 cm. How many tiles will be needed to cover the patio?
Answers
Answer:
So, multiply 120 by 70 cm for the area which is 8,400. Divide that by 25 cm which would be 336. That would be your final answer. (A tip for these problems is to draw it because it makes it easier sometimes.)
Thanks Mark As Brainlist
How i can answer this question?
Answers
This is something called collecting like terms, for example, we’d combined both of the r terms
4r - r = 3r
And combine both of the constant terms
14 - 6 = 8
The final expression will be 3r + 6
Answer: 3r+8
Step-by-step explanation:
4r-r=3r
and 14-6=8
therefore it would be 3r+8
HELPPPPPP PLLSLLSLSLLSSS!!!
Cereal is on sale this week. Is it a better buy to get the 10-ounce box for $1.95 or the 14-ounce box for $2.81?
Answers
Answer:
It is better to buy the 10-ounce box for $1.95
Step-by-step explanation:
1.) Set up a ratio to represent this problem.
Ounces : Price
10 : 1.95
14 : 2.81
2.) Find the unit price for the first ratio.
10 : 1.95
/10 /10
1 : 0.195
This means that a one-ounce box of cereal will cost $0.12
3.) Find the unit price for the second ratio.
14 : 2.81
/14 /14
1 : 0.20071428571
This means that a one-ounce box of cereal will cost $0.20
4.) Compare prices
$0.12 < $0.20
Therefore, it is better to buy the 10-ounce box for $1.95.
PLLSSS HELP MEEEE!!
Is it possible for Bruce and Felicia to have used the same number of tiles? Use complete sentences to explain your reasoning.
Number of tiles Bruce used: 5x + 2
Number of tiles Felicia used: 5x + 5
Answers
Answer:
No it is not possible for Bruce and Felicia to have used the same number of tiles.
Step-by-step explanation:
Bruce would have used 10x of tiles and Felicia used 7x of tiles.
No, it is not possible that Bruce and Felicia to have used the same number of tiles
The expression which shows the difference is (n² - 2)/2n, the correct option is B.
What is an Expression?An expression is a mathematical statement which consists of variables, constants and mathematical operators.
Number of tiles Bruce used: 5x + 2
Number of tiles Felicia used: 5x + 5
On equating the two expressions
5x+2 = 5x+5
There is no solution
At any value of x, Bruce would have always used 3 tiles less than Felicia.
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what is the area of the square units ? W (11,2), X (11,8), Y (14,8), Z (14,2)
Answers
Answer:
18 units²
Step-by-step explanation:
Find the side lengths then multiply the length and width to find the area.
2. Daniel orders sushi from the sushi restaurant. The total bill is $80. He tips the sushi chef 20%.
How much money does the sushi chef get?
Answers
Answer:
16
Step-by-step explanation:
(20/100) * 80=16
Answer:
16
Step-by-step explanation:
$20.43 is how much tip was
27% >>> .27
.27 * 75.68 = 20.43 tip
Bonus: $96.11
the bold word are tip but your answer is 16
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If f(x)=-4x+1, what is f(-x/2)?
Answers
Answer:
[tex]f(-\frac{x}{2})=-2x+1[/tex]
Step-by-step explanation:
[tex]f(x)=-4x+1[/tex]
[tex]f(-\frac{x}{2})=-4(\frac{x}{2})+1[/tex]
[tex]f(-\frac{x}{2})=-2x+1[/tex]
Can someone explain how to do this:
If you put 10 in to the function f(x) = 2x, what would be the output?
--
Im so lost-
Answers
Answer:
It would be 2 (10)
Step-by-step explanation:
If you replace x with 10 then you have a multiplacation problem and the output of the answer is 20