Using the expected value, it is found that a price of $6 should be charged to make it a fair game.
--------------------------
The game is fair if the expected value is 0.The expected value is given by each outcome multiplied by it's probability.A probability is the number of desired outcomes divided by the number of total outcomes.In a standard deck, there are 52 cards.
The cost of x.
There are 4 Aces in a standard deck, thus [tex]\frac{4}{52}[/tex] probability of earning 26 - x.
There is 1 King of Hearts in a standard deck, thus [tex]\frac{1}{52}[/tex] probability of earning 204 - x.
There are 4 Jacks and 4 Queens in a standard deck, thus [tex]\frac{8}{52}[/tex] probability of winning 13 - x.
The other 39 cards you lose, thus [tex]\frac{39}{52}[/tex] probability of losing x.
Considering we want the expected value to be 0.
[tex]\frac{4}{52}(26 - x) + \frac{1}{52}(204 - x) + \frac{8}{52}(13 - x) - \frac{39}{52}x = 0[/tex]
[tex]\frac{4(26 - x) + 204 - x + 8(13 - x) - 39x}{52} = 0[/tex]
[tex]104 - 4x + 204 - x + 104 - 8x - 39x = 0[/tex]
[tex]52x = 312[/tex]
[tex]x = \frac{312}{52}[/tex]
[tex]x = 6[/tex]
$6 should be charged.
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For students for parents for teachers Honor code Brainly what is the value of the angle of the color of the number divided by the donut you ate earlier
Answer:
wgdhqbdhbhjx
Step-by-step explanation:
djwefhejidehjeicbj
hbdahbcdhicb
cdhigcuyhbcdidbchbhcbdhc
dhcidicbhbchudnhicenibchiudbcui
dihcbhibchinciniheucdcnunc
a. is the value of the expression (1/4 ^-3)^-2 greater than 1 equal to 1 or less than 1
b. if the value of the expression is greater than 1 show how you can change one sign to make the value less than 1, show how you can change one sign to make the value greater than 1 if the value is equal to 1 show how you can make one change to make the value not equal to 1
please I need an answer quick ._.
A.
[tex]((1/4)^{-3})^{-2} = (1/4)^{(-3)*(-2)}=(1/4)^6<1[/tex]So it is less than 1
B.
We can change -3 to 3 or -2 to 2.
This will result in:
[tex](1/4)^{-6}=4^6 >1[/tex](a) The value of given expression "((1/4)⁻³)⁻²" is less than 1, and (b) To make value greater than 1, change second exponent to positive; to make it equal to 1, change first exponent to 0.
Part (a) : Starting from the innermost exponent, (1/4)⁻³ simplifies to 4³, which is 64.
So, ((1/4)⁻³)⁻² becomes (64)⁻², which is 1/4096. Since 1/4096 is less than 1, the value of the expression is less than 1.
Part (b) : To change the value to greater than 1:
Change the second exponent to a positive value, making it ((1/4)⁻³)²,
This simplifies to (4³)², which is 4096.
To change the value to equal 1:
Change the first exponent to 0, making it ((1/4)⁰)⁻². This simplifies to (1)⁻², which is 1.
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What is 23 + 18 than a blank line + 14
Answer:
27
Step-by-step explanation:
it is 55 23+18=41 +14=55
PLEASE HELP!!!!!
WILL MARK BRAINLIEST!!!!
a number is divisible by 3 if the sum of all the digits is divisible by?
Answer:
3
Step-by-step explanation:
Determine the value of x if KL = 4x-2, LM = x +18, and KM = 7x +4.
Answer:
x=6
Step-by-step explanation:
7x+4=4x-2+x+18
2x=12
x=6
Which ordered pairs is a solution to -5x + 3y > 12?
(3,9)
(-5,5)
( (3-6)
0 1(-2,-5)
(2,8)
)
O 1 (-6,0)
Answer:
(-5,5)
Step-by-step explanation:
if you replace x and y with the numbers, the answer will be true.
The length of a rectangle is 7 feet less than three times the width, and the area of the rectangle is 66ft^2 . Find the dimensions of the rectangle.
Answer:
Step-by-step explanation:
w = width
3w = three times the width
3w-7=7 feet less than three times the width
l = length = 3w-7
A=length × width (lw)
66 = (3w-7) × (w)
66 = 3w^2 - 7w
3w^2 - 7w -66 =0
factor
3 = 3 × 1 and 66 = 6 × 11,
6 × 3 = 18, 11 × 1 = 11, 18 - 11 = 7
(3w )(w )=0 so far
(3w )(w 6)=0 so far
(3w 11)(w 6)=0 so far
(3w+11)(w-6)=0
w-6=0
w=6
3w=3*6=18
3w-7=3*6-7=18-7=11
w=6 feet
l=11 feet
how do i solve this type of rational equation (x^2-16)/(4-x)
Given the matrices A and B shown below, solve for X in the equation -3X + A= 3B.
Answer:
A = 3 B + 3x
B = - X + A/3
Step-by-step explanation:
X = - B + A/3
Unicorns love eating jelly beans! If a unicorn eats 410.7 ounces of jelly beans 6 times a day, how many ounces does it eat in one day?
Answer:
2464.2
Step-by-step explanation:
you multiply 410.7 by 6 to get this
The ounces of jellybean eaten in a day is required.
The amount of jellybean the unicorns eats in one day will be 2464.2 ounces.
The ounces of jellybean eaten at one time is 410.7 ounces
The number of times jellybean is eaten during one day is 6 times.
[tex]1\ \text{time}=410.7\ \text{ounces}[/tex]
So, for 6 times
[tex]6\ \text{times}=6\times 410.7=2464.2\ \text{ounces}[/tex]
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Solve the following for X:
4x + y = z
a. x = z - y - 4
b. x = z+y/4
c. x = z-y/4
d. x = z/4
Answer:
the answer is c
Step-by-step explanation:
I used brainly
Easy points
Before you answer this question try and rotate your foot clockwise and write the number six. Hard right.
Math question now.
When I am 6 my brother is half my age. How old will my brother be when I am 70?
HELP RUNNING OUT OF TIME
Determine the Area of the triangle. Round to the nearest TENTH.
Answer:
A=hbb
2
Step-by-step explanation:
A=hbb
2 it more or less your thing
Write the polynomial that has factors of 2 and -6.
Answer: x^2 - 4x - 12
Step-by-step explanation:
Factors are (x + 2) and (x - 6)
(x +2)(x - 6)
*multiply the first x by the second x and then by the -6
x^2 - 6x
* multiply the 2 by the second x and then the -6
2x - 12
* combine the two expressions
x^2 - 6x + 2x - 12
*simplify
x^2 - 4x - 12
Jacob said the product of 89 and 234 is 314.
How can you tell that his answer is wrong?
The product of 89 and 234 is 20826, not 314.
How to infer the correctness of a product
The multiplication of two positive integers equals another positive integer. Each term of a multiplication can be rewritten as sums of multiples of 10, which can be simplified by algebra:
[tex]89 \times 234[/tex] Given[tex](80 + 9) \times (200+30+4)[/tex] Definition of decimal numbers[tex](80 + 9)\times 200 + (80 + 9)\times 30 + (80+9)\times 4[/tex] Distributive property[tex]80\times 200 + 9\times 200 + 80\times 30 + 9\times 30 + 80 \times 4 + 9\times 4[/tex] Distributive property[tex]16000 + 1800 + 2400 + 270 + 320 +36[/tex] Definition of multiplication[tex]20826[/tex] Definition of addition/ResultBased on real algebra properties, we know that the product of 89 and 234 is 20826, not 314. [tex]\blacksquare[/tex]
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This figure has two intersecting lines and a ray.
What is the value of x?
Enter your answer in the box.
x =
Answer:
The correct answer is 24
Step-by-step explanation:
K12 test
figure has two intersecting lines and a ray.
From this figure, the value of x= 24
Given :
Two intersecting lines and a ray. one angle is 110 degrees.
opposite to 111 degrees are 87 and x degrees
From the two intersecting lines, we know that vertical opposite angles are equal .
111 degrees and 87+x are vertical opposite angles
So, they are equal .
Lets make them equal and solve for x
[tex]111=87+x[/tex]
Now we subtract 87 on both sides and solve for x
[tex]111-87=87-87+x\\\\x=24[/tex]
So the value of x is 24 degrees
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It takes an elevator 2 seconds to go from floor to floor. Each passenger
takes 1.5 to 2.0 seconds to board or exit. Twelve passengers board on the
first floor and exit on the fourth floor. How long will you wait if you are on
the seventh floor and ring for the elevator just as it leaves the first floor?
Answer:
38 seconds
Step-by-step explanation:
just take 2x7 for the elevator taking the time to reach your floor which is 14 seconds. then just add on the additional time that all the passengers take to get off the elevator as it's only counting the time since it starts moving. that is 12x2=24. now just add 24+14 and you get your answer of 38
pick
a
b
c
d .........................................................
Answer:
B
Step-by-step explanation:
Im pretty sure it's B X is going by 4's 4,8,12 then y is going by 12
And-Which is a way to show sixteen?
Answer:
The answer will be 62
Step-by-step explanation:
52
{ } +10
61 (+1) 62 (+1) 63
{ } +10
72
Pleaaaaaaseeee
10 points
In the playing card deck below what is the chance of pulling 4 face cards without replacing the cards in between pulls? Answer in decimal form rounded to the 6th digit after the
decimal
Answer:
0.13000
there is 52 cards in a deck so you take 52 and divide it by 4 since there is only 4 face cards you then get 13 and turn it into 0.13 then round to the 6th digit or millionth after the decimal so you would get 0.130000
Which of the following systems of inequalities would produce the region
indicated on the graph below?
Answer: Im pretty sure its B
(/ ^_^/) .....
I am grateful to anyone who can help. Thank you.
Joshua's Math textbook weighs 4.21 ounces. His Social Studies book weighs 3.99 ounces. What is the difference in weight between the two books?
Find the equation of the line.
Use exact numbers
y =
2+
y
4
9+
8+
7+
6+
5+
4
3+
2
1
+2
1 2 3 4 5 6 7 8 9
-9-8-7-6-5-4-3/2
-2
-3
-5-
-6-
-7-
-8-
-97
Answer:
Step-by-step explanation:
two points on the line are (-2,0) and (0,4)
slope=(y2-y1)/(x2-x1)=(4-0)/(0-(-2))=4/2=2
eq. of line is y-0=2(x-(-2))
y=2(x+2)
y=2x+4
Write an equation of the line that passes through the point (6,2) and is perpendicular to the line y=3x+3
Answer:
y = - [tex]\frac{1}{3}[/tex]x + 4
Step-by-step explanation:
To find the slope of a perpendicular line, find the negative reciprocal of the slope.
The slope is 3 so the slope of the perpendicular line would be - [tex]\frac{1}{3}[/tex]
________________
Then use point slope form to find the equation of the perpendicular line:
y - [tex]y_{1}[/tex] = m (x - [tex]x_{1}[/tex] )
point = (6, 2)
slope = - [tex]\frac{1}{3}[/tex]
y - 2 = - [tex]\frac{1}{3}[/tex] (x - 6)
________________
If you want it in slope intercept form, you can just rearrange the equation:
y = 2 - [tex]\frac{1}{3}[/tex]x +2
y = - [tex]\frac{1}{3}[/tex]x + 4
A load of hay bales has been delivered to your barn. It takes you 15 seconds to unload each bale and place it in the space you have provided. With each bale you lift, you are exerting 250 J of work. Calculate the power it takes to unload one hay bale.
Answer:
80
Step-by-step explanation:
if a fuel efficient car can go 210 miles on 4gallons of fuel, how far can it go on 12
This table shows the relationship between time and push-ups.
Which of the following values could represent the value of r2 for this relationship?
r2 = ‒0.9646
r2 = ‒0.0354
r2 = 0.0354
r2 = 0.9646
Answer:
D
Step-by-step explanation: i <3 satistics so much
Raul is buying ties and he wants to spend $200 or less on his purchase. The ties he likes the best cost $50. How many ties,t, could he purchase?
Using inequalities, the number of tiles he could buy is equals to 4 or less than 4.
How to find number of tiles using inequalities?He is buying tiles and he wants to spend $200 or less on his purchase.
The ties he likes the best cost $50.
Therefore, the situation will form an inequalities as follows;
let
t = number of tiles
50t ≤ 200
t ≤ 200 / 50
t ≤ 4
The the number of tiles he could buy is equals to 4 or less than 4.
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