A jar has 10 red marbles, 6 purple marbles, and 4 turquoise marbles. If you pull a red marble, you win nothing. If you pull a purple marble, you win $2; and if you pull a turquoise marble, you win $5. It costs $3 to play. What is the expected value?
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Answer:
The expected value = -1.4 Dollars
Step-by-step explanation:
The number of red marbles = 10
The number of red purple = 6
The number of red turquoise = 4
The total number of marbles in the jar = 10 + 6 + 4 = 20 marbles
The prize won for pulling a red marble = 0
The prize won for pulling a purple marble = $2
The prize won for pulling a turquoise marble = $5
The probability of pulling a red marble = 10/20 = 1/2
The probability of pulling a purple marble = 6/20 = 3/10
The probability of pulling a turquoise marble = 4/20 = 1/5
Expected value, EV, probability is the foreseen or bankable future value value for a current investment. The expected value is found by finding the product of each outcome and the probability of occurrence of the outcome and then adding the values of the products together
To find the expected value, EV sum the prizes won multiplied by the probability of winning that prize and then subtract the cost of playing the game.
Therefore;
EV = 1/2×0 + 3/10×2 + 1/5 × 5 -3 = -1.4
The expected value = $(-1.4).
Related Questions
PLEASE HELP if can
(file below)
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Answer: B ,hope it helps!
Suppose you know the product of 5 integers is negative. How many of the 5 integers can be negative?Explain.
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I NEED THIS RIGHT AT THIS MOMENT ASAP PLS!!!!!!!!!!!!!!
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The slope of a line can be calculated using the formula:
slope = (change in y-coordinates)/(change in x-coordinates)
In this case, the change in x-coordinates is (x + 9) - (3 - 2x), which simplifies to 4x + 6.
The change in y-coordinates is 7 - 12, which is -5.
For a vertical line, the slope is undefined, which means the change in x-coordinates must be zero. Therefore, we set 4x + 6 = 0 and solve for x:
4x + 6 = 0
4x = -6
x = -6/4
x = -3/2
So, the value of x for which the line passing through points F(3-2x, 12) and G(x + 9, 7) is vertical is x = -3/2.
1/4 of 12 water bottles =
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Answer:
1/4 of 12 = 1/4 x 12
"of" means to multiply.
The answer will be 3.
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Use the equation below to find v, if u=17, a=4, and t=8. 4=u+at
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Answer:
This is not a valid equation, as the left-hand side is not equal to the right-hand side.
Therefore, there may be an error in the given equation or values. Please check and provide the correct equation or values, so that we can help you find the value of v.
Step-by-step explanation:
The given equation is:
4 = u + at
where u = 17, a = 4, and t = 8.
Substituting the given values, we get:
4 = 17 + 4(8)
Simplifying the right-hand side:
4 = 17 + 32
Combining like terms:
4 = 49
This is not a valid equation, as the left-hand side is not equal to the right-hand side.
Therefore, there may be an error in the given equation or values. Please check and provide the correct equation or values, so that we can help you find the value of v.
The table shows a prop relationship between x and y! Picture included.
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Answer:
D) 5 You can see that all the numbers on the left can be multiplied by 5 to get the one on the right.
Help me please with this math question! giving brainliest to the correct answer
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So 1/2 * 8 *2.72 should get u the answer.
Answer:
base is 2.72 and height is 8 so you just multiply those together and i believe the correct answer is 21.7. mark me brainliest thank you!!
Which relationships describe angles 1 and 2?
Select each correct answer.
adjacent angles
complementary angles
supplementary angles
vertical angles
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Answer:
Complementary Angles
Step-by-step explanation:
They are both in right angles
Describe how the data is dispersed in a box plot with the following data set: 25, 36, 21, 30, 20, 32, 38, 19, 36, 31, 26, 33, 27, 18, 24.
AND PLEASE ACTUALLY EXPLAIN/DESCRIBE!
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In a box plot, also known as a box-and-whisker plot, the data is dispersed and represented visually to provide a summary of the distribution and key characteristics of the dataset. Let's describe how the data is dispersed in the box plot for the given data set: 25, 36, 21, 30, 20, 32, 38, 19, 36, 31, 26, 33, 27, 18, 24.
1. Median (Q2): The median represents the middle value of the dataset when arranged in ascending order. In this case, the median is around 27 or 28, as it lies between the values 27 and 30.2. Lower Quartile (Q1): The lower quartile marks the boundary between the lower 25% of the data and the upper 75%. It is located approximately around 22 or 23, as it falls between the values 21 and 24.3. Upper Quartile (Q3): The upper quartile marks the boundary between the lower 75% of the data and the upper 25%. It is located around 34 or 35, as it lies between the values 33 and 36.4. Interquartile Range (IQR): The IQR is the range between the upper and lower quartiles (Q3 - Q1). In this case, the IQR is approximately 12 (35 - 23).5. Whiskers: The whiskers represent the range of the data excluding any outliers. They extend from the lower quartile (Q1) to the minimum value and from the upper quartile (Q3) to the maximum value. However, in some cases, the whiskers can also be defined based on certain criteria, such as 1.5 times the IQR. Outliers, if present, are depicted as individual data points beyond the whiskers.6. Outliers: Outliers are data points that significantly deviate from the rest of the dataset. In this case, there are no clear outliers based on the data provided.7. Box: The box in the box plot spans from the lower quartile (Q1) to the upper quartile (Q3) and represents the middle 50% of the data. In this case, the box spans approximately from 23 to 35.By observing the box plot, we can see that the data is moderately dispersed, with the majority of values concentrated around the median. The range of the data is approximately 20 to 38, with some variability within the dataset.
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♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
Minimum value: 18
First quartile (Q1): 22
Median: 29
Third quartile (Q3): 36
Maximum value: 38
The box plot is created using these values. A box is drawn from Q1 to Q3 with a line inside the box at the median. Whiskers are drawn from the box to the minimum and maximum values. Any data points beyond the whiskers are plotted as individual points.
In this box plot, the data is dispersed fairly evenly, with no outliers beyond the whiskers. The box is centered around the median, indicating that the data is roughly symmetric. The lower half of the data is slightly more spread out than the upper half, as indicated by the longer whisker on the left side of the box. Overall, the box plot shows that the data is relatively consistent, with no extreme values.
what point below is the solution to the expression 2x+y=12
A) (4,2) C) (8,-1)
B) (3,6) D) (0,6)
Answers
Answer:
Step-by-step explanation:
It's B.
Let's rewrite the expression like this :
2x+y=12 ⇒ y=12-2x
and try given values for x :
if x=4 ⇒ y=12-(2×4)=12-8=4 ( so it is not 2 ) ⇒ wrong if x=3 ⇒ y=12-(2×3)=12-6=6 (it is 6) ⇒ right if x=8 ⇒ y=12-(2×8)=12-16=-4 (so it is not -1) ⇒ wrong if x=0 ⇒ y=12-(2×0)=12-0=12 (so it is not 6) ⇒ wrongYou mix 23.385 grams of sugar and 12.873 grams of baking soda in a glass container for an experiment. You place the container on a scale to find that the total mass is 104.2 grams. What is the mass of the container
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104.2-36.258=67.942
Answer=67.942
The mass of the container is 67.942 grams.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that amount of sugar is 23.385 grams, the amount of soda is 12.873 and the total mass is 104.2 grams.
The weight of the container will be calculated as below:-
Total weight of sugar and sods = 23.385+12.873=36.258
Weight of container = 104.2-36.258=67.942
Weight of container = 67.942 grams
Therefore, the mass of the container is 67.942 grams.
To know more about an expression follow
https://brainly.com/question/2164351
#SPJ2
Keira said that if 6 tickets are sold, there should be 2 tickets left. Is Keira correct?
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According to Keira, if 6 tickets are sold, there should be 2 tickets left. However, we don't have any information about the initial number of tickets available.
If the total number of tickets initially was 8, and 6 tickets were sold, then there would indeed be 2 tickets left, supporting Keira's statement.
However, if the total number of tickets initially was less than 8, or if the statement doesn't specify the initial number of tickets, we cannot determine if Keira's statement is correct.
Therefore, without additional information, we cannot determine the accuracy of Keira's statement.
k/2≤3
jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj
Answers
Answer:
k ≤ 6
Step-by-step explanation:
k/2 · 2 ≤ 3 · 2
k ≤ 6
Select all equations that are true. A. 9 . 21 × 10 3 = 921 B. 9 . 21 × 10 1 = 92 . 1 C. 0 . 921 × 100 = 921 D. 0 . 921 × 10 4 = 9 , 210 E. 0 . 0921 × 10 2 = 9 . 21
Answers
Answer:
Step-by-step explanation:
Option A
9.21 * 10³ = 9,210 ≠ 921
Option A is FALSE.
Option B
9.21 * 10¹ = 92.1
Option B is TRUE.
Option C
0.921 * 100 = 92.1 ≠ 921
Option C is FALSE
Option D
0.921 * 10⁴ = 9,210
Option D is TRUE
Option E
0.0921 * 10² = 9.21
Option E is TRUE
Your neighbor will pay you $9.00 to wash his car. How many full hours will you now have to babysit (at $10.00 an hour) so you can pay for the $59.95 jacket?
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Ms. Ramos uses three and three-fourths tubes of blue paint and two and five-sixths tubes of red paint. How many tubes of paint does she use in all?
five and eight twenty-fourths tubes
five and seven-twelfths tubes
five and eight-tenths tubes
six and seven-twelfths tubes
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Answer:
D. six and seven-twelfths tubes. you can find online fraction calculators
Step-by-step explanation:
24 ÷ b +8 when B is 9
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ASAP HELP!!over the summer,for every 11 okra seeds dana planted,6 grew into plants,if he planted 143 okra seeds,how many grew into plants
A:138
B:63
C:78
D:262
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Answer:
c) 78 plants
Step-by-step explanation:
The total required is,
→ x = 143/11
→ [ x = 13 ]
Then number grew into plants,
→ 6 × x
→ 6 × 13
→ 78 plants
Hence, the option (c) is correct.
Answer: 78
Step-by-step explanation: 143 /11=13x6=78
HELP! Find the answer for these 2 questions. Answer it right please.
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God I love Triangles
1: b=36 units
2: C.
1st Explanation:
Given the triangle's sides are to scale, you can take the larger one and divide a side value by it's scaled version to find the rate of change.
In this instance, i took 45/10 and got 4.5, I checked with the other side and found 27/6 also was equivalent to 4.5. This meant the scale from Triangle 1 to Triangle 2 was upscaled by a multiple of 4.5 ...
I took the non-scaled side, and used the common multiple that is present on the other sides, and I found 8x4.5=36.
So, side b, the un-labeled, target side on Triangle 2, equals 36 units. (never forget the units when written, remember this for your future.)
2nd Explanation:
The word problem presents an estimated guess that we are to evaluate it's accuracy of.
I started by reading Laamars, prediction, and checked for any obvious answers. I did not find one, so I moved on to do the math to the estimated penny, by doing:
-Lamar has 1 Full Jar worth $51.45
Value: (51.45)
-Lamar has two identical (same, nearly) jars
Value: (2x51.45)
-Lamar has a 3/4 full jar. So, I converted 3 divided by 4 to .75,
Value: (.75x51.45)
-Lamar has a 1/2 full jar. So, I used one half of 51.45 with the equation: Value: (51.45/2 OR .5x51.45)
So, gathered the values and got the sum of:
Estimated Value = 51.45+(51.45x2)+(.75x51.45)+(.5x51.45) = $218.66
With this in mind, we know Lamar OVERESTIMATED, so we can eliminate answer choices A and B. When you read D, it is already known that the exact value may not be $51.45, so, by process of elimination, I concluded that Lamar most likely overestimated becuase "He has Just over 4 containers, and 4x50=200"
3+.75+.5=4.25, so the statement "just over 4" is true.
Hope this Helped!
2:c
Hope this help’s!
A hollow triangular prism is filled with cola. The prism holds 5 of cola. The length is 50cm, the base of the triangle is 20cm. What is the height of the triangle?
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Answer:hi
Step-by-step explanation:
Can someone help me.
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Answer:
A. x = -6
B. x = 15
Step-by-step explanation:
A.
\(\frac{x}{3}-5=-7\\\frac{x}{3}-\frac{15}{3}=-7\\\frac{x-15}{3}=-7\\x-15 = -7*3\\x-15=-21\\x=-21+15\\x=-6\)
B.
\(\frac{x}{2}-5=2.5\\\frac{x}{2}-\frac{10}{2} = 2.5\\\frac{x-10}{2}=2.5\\x-10= 2.5*2\\x-10=5\\x=5+10\\x=15\\\)
I hope this helps brother! :D
x/3-5=-7
+5. +5
x/3=-2
*3. *3
x=-6
b.
x/2-5=2.5
+5. +5
x/2=7.5
*2. *2
x=15
A-10 minutes
B-8 minutes
C-5 minutes
D-3 minutes
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Julie's remote control helicopter rises 15 feet in 20 seconds. what is the rate of rise in feet per hour ?
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Answer:
Step-by-step explanation:
2700 feet/hour
Please find the area! Show your work! (image attached)
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Answer:
24 units :) all ya need to do is count the squares (two halves = a whole)
Answer:
24
Step-by-step explanation:
Compare the ranges for the two linear functions shown below. Each line is represented in a different way. A.
The range for function A is all real numbers, but the range for function B is 3.
B.
The range for function A is 2, but the range for function B is all real numbers.
C.
The range for function A is same as the range for function B.
D.
The range for function A is 2, but the range for function B is 3.
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Answer:
Answer: D. domain; x>-2; range: y>0; Yes, it is a function
Help pls. I'll mark as brainlist.
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1 feet = 12 inches
So, it's proportional2. The number of cookies baked and the minutes in the ovenSo, it's not proportional3. One bread needs a fixed grams of flourSo, it's proportional4. Since s = vtSo, it's proportional5. One gallon of gasoline cost's a fixed prince.So, it's proportionalNote : We just need to judge whether it accords with "y = kx"
{Proportional relationship}
What is the interquartile range (IQR) of the data set below? (You have until 6:30 P.M. EST) (I don’t mind late answers, maximum being 6:35-6:40.)
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Answer:
21.5
Step-by-step explanation:
Arrange numbers from smallest to largest:
56, 65, 69, 77, 79, 82, 88, 89, 90
The interquartile range is the range in the middle of the data set, we can find it by knowing the upper and lower quartiles.
56, 65, 69, 77, 79, 82, 88, 89, 90
(65+69)/2 = 67
(88+89)/2 = 88.5
The interquartile range:
88.5 - 67
= 21.5
help im giving 90 points
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I figured this out but dividing 7 by 25, giving me 0.28
How many solutions are there to the equation below?
5x + 48 + 7x = 12 (x + 4)
A. 1
B. Infinitely many
C. 0
Answers
Answer:
B. Infinitely Many
Step-by-step explanation:
Step 1: Distribute
5x + 48 + 7x = 12x + 48
Step 2: Combine like terms
12x + 148 = 12x + 48
If the 2 lines are the same, which they are, they are the same lines. That means there are an infinite amount of solutions. If they had the same slope but different y-intercepts, there would be no solutions because the lines are parallel. Any other pair of equations would have 1 solution.
Answer:
B. Infinitely Many
Step-by-step explanation:
When you simplify the term on the left of the equation, it is exactly the same as the term on the right. Therefore, you can substitute virtually anything in for variable "x" and it would still be correct.
Mr. Smith opened a retirement account with a deposit of $900. This account earns 5% simple interest annually. How many years will it take for his $900 deposit to earn $360 interest?
Answers
Rate of interest (R) = 5%
S.I = $360
Time =?
Formula to find the time=
T= 100 x S.I / P x R
T= 100 x 360 / 900 x 5
T= 36000/4500
T= 8 years