For the wheel picture on the right assume that a person spins the pointer and is awarded the amount indicated by the pointer. If it costs $5 to play the game determine (a) the expectation of a person who plays the game and (b) the fair price to play the game.
a. what is the expectation? $ ___
Answers
Answer:
(a)
(b)
Step-by-step explanation:
First pic is a second is b
The expectation to play the game is $2.5 and the fair price to play is $7.5.
What is the expectation?The expectation is defined as the weighted average value of the random variable which is the product of the value of the random variable and its possibility.
Expectation= ∑P(win)*amount of win or loss of random variable
=∑x*P(x)
Here given that there are only two possible outcomes $5 and $10. And the possibility of every outcome is the same which is 0.5 as they occupy the same area.
As we know
Expectation= ∑P(win)*amount of win or loss of random variable
= 0.5(5-5) +0.5(10-5)
=0.5*0 + 0.5*5
=0+2.5
=$2.5
As fair price= expectation + cost of play
⇒fair price= $2.5 + $5
⇒fair price= $7.5
Therefore the expectation to play the game is $2.5 and the fair price to play is $7.5.
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Related Questions
How is the domain of a function related to the numbers in the sequence?
How is the range of the function related to the numbers in the sequence?
Answers
Answer:
A sequence is a function whose domain is the set of natural numbers or a subset of the natural numbers. We usually use the symbol an to represent a sequence, where n is a natural number and an is the value of the function on n.
Divide. Express each answer as a decimal. In the space below, be sure to label your answers a, b, c, d.
a. 54
b. 45
c. 3012
d. 1230
Answers
Answer: this might be wrong
c
Step-by-step explanation:
Sorry if this is wrong
Answer: c
Step-by-step explanation:
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The frequency table shows how many visits to the library students in a school have made in the last month.
Visits Frequency
0 7
1 54
2 142
3 276
4 92
5 23
Work out the mean.
Give your answer rounded to 1 DP.
Answers
the ratio of boys to girls in the 6th grade is 2:3 if there are 75 students, how many more girls are there than boys?
Show your work.
Answers
Answer:
2:3 = 75
so 25 girls are there in the class
Step-by-step explanation:
7. Draw a circle around the expression which is greatest when n is a negative number?
n²
A. n-2
B. 2n
C. n/2
D. 2/n
Answers
Answer: n-2
Step-by-step explanation: anything with negative would be subtraction ( any variable anyway )
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Answer:
its 4-6
Step-by-step explanation:
What is the answer to this?helppp
Answers
Answer: 6
Step-by-step explanation:
divde 5 by 2 them multiply your exponet
Answer:8/125
Step-by-step explanation:
What is the vertical distance between point A(−1.5,1.25) and point B(−1.5,−0.75) ?
Answers
Answer:
Step-by-step explanation:
Input Data :
Point 1
(
x
A
,
y
A
)
= (-1.5, 1.25)
Point 2
(
x
B
,
y
B
)
= (-1.5, -0.75)
Objective :
Find the distance between two given points on a line?
Formula :
Distance between two points =
√
(
x
B
−
x
A
)
2
+
(
y
B
−
y
A
)
2
Solution :
Distance between two points =
√
(
−
1.5
−
−
1.5
)
2
+
(
−
0.75
−
1.25
)
2
=
√
0
2
+
(
−
2
)
2
=
√
0
+
4
=
√
4
= 2
Distance between points (-1.5, 1.25) and (-1.5, -0.75) is 2
The vertical distance between the points A and B are D = 2 units
What is the distance between two points?Let the two points be A ( x₁ , y₁ ) and B ( x₂ , y₂ )
The distance from A to B is the same as the distance from B to A
Distance between two points is the length of the line segment that connects the two points in a plane.
The formula to find the distance between the two points is usually given by D = √( ( x₂ – x₁ )² + ( y₂ – y₁ )²)
This formula is used to find the distance between any two points on a coordinate plane or x-y plane
Given data ,
Let the distance between 2 points be represented as D
Now , let the first point be A ( -1.5 , 1.25 )
Let the second point be B ( -1.5 , -0.75 )
The distance D = √( ( x₂ – x₁ )² + ( y₂ – y₁ )²)
And , the vertical distance between A and B = |y-coordinate of A - y-coordinate of B|
So , the value of D = |1.25 - (-0.75)|
D = 2 units
Hence , the vertical distance is D = 2 units
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Sam’s Soups is open 6 days a week, 76 hours in all. Its hours are the same every day, except on Saturday and Sunday. On those days, it is open 2 hours longer. How long is Sam’s Soups open on Sunday? Use an equation to solve.
Answers
14 hours
Step-by-step explanation:
Let x be the number of hours open on each of the four days (because it is six days per week) that are not Saturday or Sunday.
Thus, the total number of hours on those days would be 4x. Then, we are told that Sam's Soups are open 2 hours longer on Saturdays and Sundays, so that would be x + 2. There are two of those days, so that would be 2(x + 2). Since all of these hours total 76, we have our equation:
4x + 2(x + 2)= 76
4x+ 2x + 4 = 76
6x=72
x = 12
Remember, 12 hours is the number of hours that Sam's Soups is open on days that are not Saturday and Sunday. Those days are x
+ 2. Thus, that is 12 + 2 = 14 hours.
PLEASE I NEED HELP ASAP!!!
SHOW ME HOW YOU GOT YOUR ANSWER
Answers
Please help 15 points!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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100
35/42 is about 83 percent 83 percent of 120 is roughly 100
The answer is 100 females
9. Expand using identites.
1) (3/2 m - 5n) (3/2 m + 5n)
Answers
Answer:
(3/2 m)^2 -(5n)^2^
Step-by-step explanation:
Answer: 9m^2 / 4 - 25n^2
Step-by-step explanation:
Use the identity: (a-b)(a+b)=a^2 - b^2
substitute values of a and b, where a=3/2m and b=5n.
The following simplifies to (3/2m)^2 - (5n)^2.
How do you identify the constant of proportionality when given a graph?
Answers
1 x 7 - 13 x 56 divided by 7 -5 x 500 is what?
Answers
Answer: -2597
Step-by-step explanation: First, you multiply 1 x 7 to get 7, then subtract 13 from that, and multiply that by 56. Then you find what 7 -5 x 500 is, and divide it by the first part you got, to ger -2597. I'm sorry If I'm wrong .
Answer:
-2597
Step-by-step explanation:
Using PEMDAS, M would be multiplying so you you multiy 1x7 then times 56 then S is for subtraction so then you subtract 13, save that first set (1x7-13x56) to the side and now lets do the other set (7-5x500) first you would multiply it by the 500 and you get 3,500 then subtract it now get your two answers and divide it, then youll get -2597
Fernando spent $20 of his $50 weekly allowance on snacks. What percent of his weekly allowance did he spend snacks?
Answers
Answer:
is the answer of 50 and spend 20 you have 30 left
Answer:
40%
Step-by-step explanation:
A good way to remember how to do percentages is starting with 10% of overall.
Overall, 10% of the $50 would be $5
you just move the decimal from $50.00 to $5.00
moving it to the left once, for ten percent
theres $20 so thats the 10x2
20 goes into 100, 5 times ...
It just so happens in this scenario, its 20% just like the $20 ... doesnt always happen like this.
I need help with my math questions!I added an attachment.
Answers
Answer:
Answers below
Step-by-step explanation:
B. is [tex]1 \frac{2}{5} *3=4 \frac{1}{5}[/tex]
C. 75 -:- 2[tex]\frac{1}{5}= 30[/tex]
D. 27-:-6=4.5(or 4 and 1/2)
Describe the error in finding the median of the data.
Answers
To find the median of data you need to first put the numbers in order from least to greatest.
7-4x=2+x+6-5x how many solutions
Answers
Answer:
Step-by-step explanation:
There is one solution to the equation 7-4x=2+x+6-5x. Solving for x gives x = 1, so there is only one solution.
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Answer:
A. On the x-axis
B. In Quadrant 2
Step-by-step explanation:
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Answer:
The length of 83,800,000 in scientific notation is 8.38 x 10^7
Answer: 838 x 10^5
Step-by-step explanation: We first have to focus on the Zambezi which is 83,800,000 there are 5 zeros, but we have three options 8.38 x 10^7, 83.8 x 10^6, and finally 838 x 10^5, but scientific notation includes no decimals so it is 838 x 10^5.
3 plus 4 times a number is 5 times the number. What is the number?
Answers
Because first the “ number” is X so then the problem would be turned into 3 + 4x = 5x and you need to get all the numbers on one side and the X’s on the other side
Answer:
The num is three
Step-by-step explanation:
4 x 3 = 12
12 + 3 = 15
15 = 5 x 3
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Answers
Answer:
Its the second one
Step-by-step explanation:
Alyson is restocking her pantry. She buys 4 kinds of canned soup: tomato (T), mushroom (M), vegetable (V), and chicken noodle (N). She also buys garlic croutons (G) and cheese croutons (C) to pair with the soups. Which TWO statements are TRUE for this situation?
A.{ T, M, V, N, G, C} is the sample space.
B.{TG, TC, MG, MC, VG, VC, NG, NC} is the sample space.
C.There are 8 serving combinations.
D.{T, M, V, N} is the sample space.
E.There are 6 serving combinations.
Answers
Answer:
A and D would be your 2 sample spaces
Step-by-step explanation: because we can see its clearly not C or E so that leaves us with A , B, and D. I belive that B isnt a asnswer choice so that leaves A, and D
mark me brainless please it helps me
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I would say A and D
There is no way that E and C are the answer. B is a no because TG…? What does TG mean? Some of the letters in choice B doesn’t make sense to me.
Ava is buying 30 baseball caps and pays a total of $240. Each cap costs the same amount. Determine whether the situation below represents a direct proportion, and justify your reasoning. If so, find the constant of proportionality.
Pls find the answer winter break is almost ending
Answers
90% of people marry there 7th grade love. since u have read this, u will be told good news 2night. if u don't pass this on nine comments ur worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of ur life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you...
The answer is 8 so its a direct proportion
I think...
The constant of Proportionality is 8.
What is constant of Proportionality?If the ratio of one variable to the other is constant, then there is a proportional relationship between the two variables. If x and y are in a proportional relationship, then the ratio of y to x is the constant of proportionality. We can also express it as x is to y at times.
Given:
Total Baseball Caps= 30
Total amount of Cap= $240
let the number of caps sold be c.
Then, the equation is
30 c= 240
and, c= 240/30
c= 8
Hence, the constant of Proportionality is 8.
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In Britain a Value Added Tax (VAT) of 17% is added to most purchases. If a skit costs $58.50 including tax, what is the price of the skirt before tax?
Answers
Answer:
i think it is 45.70
Step-by-step explanation:
Answer:
$48.55
Step-by-step explanation:
Make 17% into a decimal Multiply 0.17 and the number of Britain Value including tax Then take that number and subtract it by the number of Britain Value including taxEquation:
17% = 0.17
Why? The symbol % is called the percent sign. The expression 17% means 17 parts out of 100. Therefore, 17% is equivalent to the common fraction and to the decimal fraction 0.17.
0.17 × (Britain Value Including Tax) 58.50 = 9.945 to be exact but I rounded it up to 9.95 for easier use
58.50 - 9.95 = 48.55
So $48.55 is your answer
I hope this helped! Brainliest highly appreciated! Tell me if this is wrong I would like to know :) All of this written and solved by me. Except for the italic explanation of how to make 17% a decimal. You are free to use this explanation if needed so don't feel hesitant to copy and paste this. Have a wonderful and blessed day! -- Juri Davis
A clothing store uses a markup of 60% on all items they purchase to sell. What is the retail price of a pair of shoes that originally costs $350?
Answers
Answer:
560
Step-by-step explanation:
i added 6p percent
Answer:
350, percentage increased by 60% (percent) of its value = 560
Write the formula for the parabola that has x- intercepts (1.3,0) and (-1.3,0), and y- intercept (0,169).
Answers
Answer:
The y intercept is (0,1.69) and not (0,169)
Step-by-step explanation:
substituting, y=-1(x+1.3)(x-1.three) observe that this is distinction of squares y=-[x2-(1.3)2] , y=-(x2-1.69), y=-x2+1.69
Julia loves collecting baskets. Every month she adds two new baskets to her collection. In the month of March she has 60 baskets. She’s worried she will soon run out of room in her apartment to keep her baskets. Write an equation that represents the percent of change of her basket collection from the beginning of the year to the end of the year, then solve.
Answers
The linear function that represents the amount of baskets in the xth month of the year is given as follows:
The percentage of her collection that she needs to get rid of is of 3.85%.
Linear Function:-
The definition of a linear function is:
y = b + mx
In which the parameters of the equation are given as follows:
•b is the value of y when x=0
•m is the rate of change for each unit of x
Every month she adds 2 new baskets to her collection, hence the slope is of : m = 2
Then: y = b + 2x
From the March amount, when x = 3, y = 60, hence the intercept b is given as follows:
60 = b + 6
b = 54
Hence the equation is: y = 54 + 2x
At the end of the year (12 months) the amount of baskets that she will have is of:
y = 54 + 2 × 12 = 78
Hence, she has to get rid of 3 baskets, as 78 - 75 = 3, and the percentage is of:
p = 3/78 × 100% = 3.85%.
Answer:
Step-by-step explanation: The linear function that represents the number of baskets in the month of the year is given as follows:
The percentage of her collection that she needs to get rid of is of 3.85%.
The definition of a linear function is:
y = b + mx
In which the parameters of the equation are given as follows:
•b is the value of y when x=0
•m is the rate of change for each unit of x
Every month she adds 2 new baskets to her collection, hence the slope is: m = 2
Then: y = b + 2x
From the March amount, when x = 3, y = 60, hence the intercept b is given as follows:
60 = b + 6
b = 54
Hence the equation is: y = 54 + 2x
At the end of the year (12 months) the number of baskets that she will have is:
y = 54 + 2 × 12 = 78
Hence, she has to get rid of 3 baskets, as 78 - 75 = 3, and the percentage is of:
p = 3/78 × 100% = 3.85%.
Joseph was kayaking on the Hudson River. While looking at the Breakneck Ridge trail-head, he lost a whole bag of donuts. Joseph didn't realize he had lost it for fifteen minutes. That's when he turned back and started going in the opposite direction. When he found the bag, which was going at the speed of the Hudson's current, it was two miles from the Breakneck Ridge trail-head. What is the speed of the current in the Hudson River?
Answers
Answer:
8 miles per hour
Step-by-step explanation:
Actually pretty simple. It took 15 minutes for the bag to travel two miles from the Breakneck Ridge so it will be four miles per 30 minutes six miles per 45 minutes and 8 miles per hour.