Answer: the winnings are reduced
Step-by-step explanation:
Given 10 percent chance to win $1,000 for $100. That is
Gain = $900
Assuming diminishing marginal utility of dollars, when the utility of the gain and the money used for bet are considered, it is discovered that the utility of the $100 used to make the bet is greater than the $900 that you might gain if you win the bet.
this is not a fair bet in terms of utility because the winnings are reduced.
A mathematically fair bet does not account for the diminishing marginal utility of money. The expected utility calculated with a utility function might show a different picture, revealing the bet might not be fair in terms of utility. Samuelson's story illustrates statistical independence and that repeated gambles with positive expectations lead to better outcomes.
A "mathematically fair bet" is one where the expected value of the bet is equal to the cost of making the bet. In other words, if you bet $100 for a 10 percent chance to win $1,000, the mathematically calculated expectation would be $100, or 0.10 times $1,000. However, the concept of diminishing marginal utility suggests that the utility or satisfaction derived from each additional dollar decreases as one has more money. Thus, the utility of the potential win cannot simply be calculated by multiplying the probabilities by the monetary outcome.
Under the concept of expected utility, the expected utility of a bet should also be considered. To calculate this, one might use a utility function, like the von Neumann-Morgenstern utility function, to determine the utility of each possible outcome and then finding the average utility. For example, let's assume that the utility function is represented by the square root of the dollar amount (this is just an example, utility functions can take many forms). Hence, the expected utility of winning $1,000 would be the square root of $1,000, not just $1,000.
Paul Samuelson's story illustrates the idea of statistical independence and the law of large numbers, where repeated play of a gamble with positive expectation can lead to more stable and predictable results, as opposed to a single high-risk gamble. This idea reflects human behavior and the role of hope in encouraging smart risk-taking, even when each individual bet may not be favorable in terms of utility.
Find the midpoint of the line segment with end coordinates of:
(
−
2
,
−
2
)
and
(
2
,
−
8
)
Answer:
(0,-5)
Step-by-step explanation:
(−2,−2)
and
(2,−8)
Midpoint: (-2+2)/2, (-2-8)/2
0/2, -10/2
(0,-5)
$65 × 25%
$823×21.4%
$33,333×4.3%
$12,831×52%
$44,893×3.4%
$65×25%=$65×($65×0.25)=$1056.25
$823×21.4%=$823×($823×0.214)=$144,948.406
$33,333×4.3%=$33,333×($33,333×0.043)=$47,776,822.227
$12,831×52%=$12,831×($12,831×0.52)=$85,609,971.72
$44,893×3.4%=44,893×(44,893×0,034)=$68,522,969.266
help with this pls is important
Answer:
#1: x=6, -1
#2: x=2, 3
#3: x = - 4/3, 2
#4: x = -5/2, -2
#5: x = 1/2, -7/2
#6: x= -1/2, 2/3
#7: x = 1/3, 1/4
Step-by-step explanation:
You’re gonna have to copy this down quickly because if they see that I don’t have an explanation, they are going to delete my comment. So hurry!!!
Answer:
Step-by-step explanation:
two angles in a triangle measure (2.3x+25)° and (5.8x+11)°. what is the value of x if the two angles are congruent to one another?
A. x= 34.2
B. x= 10.3
C. x= 6.6
D. x= 4
Answer:
The answer is D. x= 4
Step-by-step explanation:
The angles are congruent so
2.3x +25 = 5.8x + 11
2.3x - 5.8x = 11 - 25
-3.5x = -14
x = 14/3.5
x = 4.
Answer:
The answer to your question is the letter D.
Step-by-step explanation:
Data
First angle 2.3x + 25
Second angle 5.8x + 11
Process
1.- This angles are congruents, this menas that they measure the same so to find x, equal both values.
2.3x + 25 = 5.8x + 11
2.- Solve for x
2.3x - 5.8x = 11 - 25
3.- Simplification
-3.5x = -14
x = -14/-3.5
4.- Result
x = 4
Solve the equation for y. Then find the value of y for each value of x.
y + 4x = 11; x = -1, 0,3
Solve the equation for y.
y=1
What is it ?
Answer:
y+4(-1)=11
y=11+4
y=15.
ii)y+4(0)=11
y=11
ii)y+4(3)=11
y=11-12
y=-1
when y=1
1+4x=11
4x=11+1
4x=12
x=3
Identify the axis of symmetry for the following equation:
y = x^2 + 10x + 26
A) x = -5
B) x = 2
Answer:
The answer to your question is the letter A.
Step-by-step explanation:
Data
y = x² + 10x + 26
Factor the right side of the equation
y - 26 = x² + 10x
-Complete the perfect trinomial square
y - 26 + (5)² = x² + 10x + (5)²
-Simplify
y - 26 + 25 = x² + 10x + 25
y - 1 = (x + 5)²
Vertex = (-5 , 1)
The function given is a vertical parabola whose axis of symmetry goes through x = -5
14. Sarah bought a lawnmower for $320. She signed up for the buy now pay later plan at the store with the following conditions: $100
down and payments of $25 for the next 12 months. The extra cost paid by taking this plan is equivalent to what actual yearly rate of
interest?
A. 85%
B. 65%
CC. 67%
D. 25%
Answer:
D
Step-by-step explanation:
100+25 * 12 ; 100+300 = 400 ; difference = 400-320=80 ; percent increase since it is 1 year = 80/320 =1/4=0.25 = 25/100=25%
In a survey of 250 students, 60% said that they have a cat. Of the students who have a cat, 70% also have a dog. Of the students who do not have a cat, 75% have a dog
Answer:
Step-by-step explanation:
Given:
250 students And respective percentage of students who are having dogs and cats.
To Find:
60% said that they have a cat. Of the students who have a cat, 70% also have a dog. Of the students who do not have a cat, 75% have a dog
Solution:
Taking each condition as follows:
60% of 250 have cats
i.e 0.6 *250= 150 students have cats
So 150 students of that 70% has dogs
i.e 0.7*150=15*7=105 students have dogs
Now 40 % of 250 dont have cats
i.e 0.4*250=100 students dont have cats
So Of which 75 % have dogs
i.e 0.75*100= 75 students will have dogs.
Now making tabular forms to understand properly,
(Refer the Attachment)
20% of a is 11. What is a? *
20% of a = 11
[tex]\frac{20}{100}[/tex] a = 11
[tex]\frac{1}{5}[/tex] a = 11
a = 55
I hope this helps! If you have any questions, feel free to ask.
Answer.
2.2
Why:
in percents you always put the percent above 100% ( so it'll look like this---- 20/100) and your number that is left out would be 11 so you put it by your percent like this----20 a
100 11
so now you do divide and multiply: you divide 20 by 100 and multiply by 11 to get a which is 2.2
One letter weighs 12 ounces. The mail carrier is allowed to carry 30 pounds. How many letters is he able to carry? 16 letters 32 letters 40 letters 480 letters
Answer: He is able to carry 40 letters
Step-by-step explanation: The total weight the mail carrier is allowed is 30 pounds, whereas each letter weighs 12 ounces.
What we need to do is simply find the rate of conversion between an ounce and a pound.
By conversion, 1 ounce equals 0.0625 pounds, that is;
1 ounce = 0.0625 pounds
Therefore 12 ounces would be 0.0625 times 12 which equals, 0.75 pounds. This means one letter weighs an equivalent of 0.75 pounds. If the mail carrier is allowed to carry a total of 30 pounds, then he can carry;
No of letters = Total weight allowed/weight of one letter
No of letters - 30/0.75
No of letters = 40
Hence the mail carrier is able to carry 40 letters.
Your Answer is C. He can carry 40 letters.
Step-by-step explanation:
Hope it helps!
Good luck!
What is the measure of the missing angle in this triangle?
Answer:
Its 25°Explanation:
Its The Smallest Angle Thats There Because If It Was 60° Or 150° They Would Be Bigger And If It Was 35° It Would Be The Same As The Other Angle 35°The measure of the missing angle is [tex]25^\circ[/tex]. So, the first option is correct.
Important information:
Measure of the first angle is 35 degrees.Measure of the second angle is 120 degrees.We need to find the third angle of the triangle.
Angle sum property:According to the angle sum property, the sum measure of all interior angles of a triangle is 180 degrees.
Let [tex]x[/tex] be the measure of the missing angle.
[tex]x+35^\circ+120^\circ=180^\circ[/tex]
[tex]x+155^\circ=180^\circ[/tex]
[tex]x=180^\circ-155^\circ[/tex]
[tex]x=25^\circ[/tex]
Thus, the first option is correct.
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An order is received for 400 loaves of whole wheat bread, 200 loaves of oat bread, and 350 loaves of rye bread. Given that the cost of mixing, baking, and packaging is $14, $25, and$2, respectively, per hour, find matrices B and C so that the product BAC will give the total cost (excluding raw materials) of filling this order. Find the total cost.
The total cost (excluding raw materials) of filling this order is $11,300.
Let's denote the matrices as follows:
[tex]\[ B = \begin{bmatrix} 400 \\ 200 \\ 350 \end{bmatrix} \][/tex]
This matrix represents the number of loaves for each type of bread.
[tex]\[ A = \begin{bmatrix} 14 & 25 & 2 \end{bmatrix} \][/tex]
This matrix represents the cost per hour for mixing, baking, and packaging.
[tex]\[ C = \begin{bmatrix} 1 \\ 1 \\ 1 \end{bmatrix} \][/tex]
This matrix represents the number of hours needed for each process (mixing, baking, packaging).
Now, we can calculate the product BAC to find the total cost:
[tex]\[ BAC = B \cdot A \cdot C \][/tex]
Let's perform the calculations:
[tex]\[ BAC = \begin{bmatrix} 400 \\ 200 \\ 350 \end{bmatrix} \begin{bmatrix} 14 & 25 & 2 \end{bmatrix} \begin{bmatrix} 1 \\ 1 \\ 1 \end{bmatrix} \][/tex]
[tex]\[ BAC = \begin{bmatrix} (400 \times 14 + 200 \times 25 + 350 \times 2) \end{bmatrix} \][/tex]
[tex]\[ BAC = \begin{bmatrix} 5600 + 5000 + 700 \end{bmatrix} \][/tex]
[tex]\[ BAC = \begin{bmatrix} 11300 \end{bmatrix} \][/tex]
So, the total cost (excluding raw materials) of filling this order is $11,300.
Please help me with this question. Will mark brainliest!!
Answer:
77
Step-by-step explanation:
im rusty but u double 75 i think add the arc thing which is 133 and subtract that from 360 to get 77
The average rate of change of a function is less from = x equals 1 to = x equals 4 than from = x equals 5 to = x equals 8 . What type of function could it be? Explain
Answer:
Step-by-step explanation:
Given that,
Rate of change of a function
1. From x = 1 to x = 4
2. From x = 5 to x =8
Then,
Rate of change for first condition
∆x/∆t = (x2-x1) / (t2-t1)
∆x/∆t = (4-1) / (t2-t1)
∆x/∆t = 3 / (t2-t1)
Rate of change for second condition
∆x/∆t = (x2-x1) / (t2-t1)
∆x/∆t = (8-5) / (t2-t1)
∆x/∆t = 3 / (t2-t1)
The rate of change are equal, it shows that the slope are equal.
So, it is a straight line function.
Since it has equal rate of change..
Which formula should be used to find the circumference of a circle?
A C = pi d
B C = 2 pi d
C C = pi r
D C = StartFraction pi over d EndFraction
Answer:
A
Step-by-step explanation:
[tex]C=\pi d\\[/tex]
or
C=pi times 2r
Answer:
A
GIVE THE OTHER GUY BRAINLIEST
ALL CREDIT TO HIM
If you are dealt 4 cards from a shuffled deck of 52 cards, find the probability that all 4 cards are queens.
To find the probability of getting all 4 cards that are queens, we calculate the number of favorable outcomes and the total number of possible outcomes. The probability is the number of favorable outcomes divided by the total number of possible outcomes.
Explanation:To find the probability of getting all 4 cards that are queens, we need to calculate the number of favorable outcomes (4 queens) and the total number of possible outcomes when 4 cards are dealt from a shuffled deck of 52 cards.
The total number of possible outcomes can be calculated using combinations. We can use the formula C(n, r) = n! / (r!(n-r)!), where n is the total number of items (52 cards) and r is the number of items to be selected (4 cards). So, C(52,4) = 52! / (4!(52-4)!) = 270,725.
The number of favorable outcomes is 4 since we want all 4 cards to be queens.
Therefore, the probability is the number of favorable outcomes divided by the total number of possible outcomes: P(all 4 cards are queens) = 4/270,725 = 0.00001475 (rounded to 5 decimal places) or approximately 0.0015%.
Between which two ordered pairs does the graph of f(x) = one-halfx2 + x – 9 cross the negative x-axis?
Answer:
Step-by-step explanation:
we have that
[tex]f(x) = x^2 + x - 9[/tex]
Using a graph tool
see the attached figure
The function represent a vertical parabola that open up
the vertex is a minimum-------> is the point (-0.5, -9.3)
The x-intercepts are the points when the y coordinate is equal to zero
The x-intercepts are the points (-3.5, 0) and (2.5, 0)
so
the function cross the negative x-axis at point
therefore, the answer is
(-4, 0) and (-3, 0)
Answer:
(-6,0)(-5,0)
Step-by-step explanation:
In 56 years, Kevin will be 9 times as old as he is right now.
How old is he right now?
Answer:
he's 7 years old
Answer:
Step-by-step explanation: Kevin will actually be 6 years and 2 months old
NEED HELP ASAP.....At the 2012 Summer Olympic Games in London, in the Men's Shot Put qualifying round, the distances ranged from 17.58 meters to 21.36 meters with a mean distance of 19.64 meters and a standard deviation equal to 0.92 meters. If the distribution were truly a normal distribution, what percent of the athletes would have had a distance greater than 20.56 meters, one standard deviation above the mean? There were 40 athletes in the competition. How many athletes does that represent?
OPTIONS:
-about 6 athletes
-about 14 athletes
-about 20 athletes
-about 26 athletes
-about 34 athletes
Answer:
About 6 athletes.
Step-by-step explanation:
We are concerned only with the percent of athletes that are above one standard deviation.
Between one standard deviation and two standard deviations, there is 13.6% of the athletes.
From 2 to 3, there is 2.1%. Above 3, there is 0.2%.
The sum of those percentages is 15.9% of 40 = 0.159 · 40 = 6.36 or about 6 athletes.
Hope this helps.
The solution is: About 6 athletes does that represent.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.
here, we have,
We are concerned only with the percent of athletes that are above one standard deviation.
Between one standard deviation and two standard deviations, there is 13.6% of the athletes.
From 2 to 3, there is 2.1%. Above 3, there is 0.2%.
The sum of those percentages is 15.9% of 40
= 0.159 · 40
= 6.36 or about 6 athletes.
Hence, The solution is: About 6 athletes does that represent.
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Which are steps that could be used to solve 0 = 9(x2 + 6x) – 18 by completing the square? Check all that apply.
18 + 81 = 9(x2 + 6x + 9)
18 + 9 = 9(x2 + 6x + 9)
18 + 36 = 9(22 + 6x + 36)
11 = (x + 3)2
07342 = (x + 6)2
199 = (x + 3)2
Answer:
A) 18+81=9(x^2+6x+9)
D)11+(x+3)^2
Step-by-step explanation:
To solve this by completing the square, we want to get it to the form of: (x + 3)^2 = 9
There are multiple ways to get there.
First we could divide by 9 to get.
x^2 + 6x = 0
Then, add 9 to both sides to get:
x^2 + 6x + 9 = 9
Factor the left side:
(x + 3)^2 = 9
Now, you can solve this equation by completing the square.
(*I think you have a typo in your answer choices)
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What is the surface area of the triangular prism?
A triangular prism. The rectangular sides are 5 feet by 4 feet, 5 feet by 5 feet, and 5 feet by 3 feet. The triangular sides have a base of 4 feet and height of 3 feet.
What is the surface area of the triangular prism?
60 square feet
72 square feet
82 square feet
84 square feet
Answer:
My friends
Step-by-step explanation:
the surface area of the triangular prism is
60 square feet
This is hard hi and I'm guessing 60 also
What is the measure of AngleDEF?
Triangle D E F. Angle D is 28 degrees. Angle F is 47 degrees.
25 degrees
75 degrees
90 degrees
105 degrees
Answer:
Angle E should be 105 degrees.
Step-by-step explanation:
Since a triangle equals 180, you subtract 47° and 28° from that and come up with 105°.
The angle E is 105 degrees when Angle D is 28 degrees. Angle F is 47 degrees.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Let the triangle be DEF.
Angle D is 28 degrees. Angle F is 47 degrees.
We need to find the angle E
By angle sum property we know the sum of three angles of a triangle is 180 degrees.
28+47+x=180
75+x=180
Subtract 75 from both sides
x=180-75
x=105 degrees.
Hence, the angle E is 105 degrees when Angle D is 28 degrees. Angle F is 47 degrees.
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Hey I am needing help
Which fraction would be between 5/8 and 13/16
Answer:
11/16 and 12/16=3/4
Step-by-step explanation:
First we need to get a common denominator
5/8*2/2 = 10/16
The fractions between 10/16 and 13/16
are 11/16 and 12/16
We can simplify 12/16 =6/8=3/4
There are many others if we go with a higher common denominator. These are just two examples
A board is leaning against a vertical wall. One end of the board rests on the ground at a point eight feet from the wall. The other end of the board touches the wall at a point that is six feet above the ground.
35 POINTS!Use a trigonometric function to determine the angle that the board creates with the ground (m∠A). In at least four sentences, explain why you chose your specific function and how it applies to the measure of angle A. Be sure to include the key vocabulary words "tangent", "ratio", "opposite side", "adjacent side" and "angle measure" in your response. Describe each computational step in complete sentences.
Answer:
36.87°
Step-by-step explanation:
Since ABC is a right-angle triangle, we can use trigonometric ratios to solve for unknown angles and sides.
For Angle at A, we have lengths of opposite and adjacent sides so we can use tangent at A.
tan(A) = opposite/adjacent
tan(A) = CB/AB
tan(A) = 6/8
A = (tan^-1)(0.75)
A = 36.86989765°
What two products do you get when you cross-multiply the fractions 2/5 and 3/8?
a 10 and 12
b 6 and 40
c 16 and 15
d 3 and 5
When you cross-multiply the fractions 2/5 and 3/8, you obtain two products: 16 and 15.
Explanation:To find the products obtained when you cross-multiply the fractions 2/5 and 3/8, you multiply the numerator of the first fraction with the denominator of the second fraction, and the denominator of the first fraction with the numerator of the second fraction.
So, here are the steps:
Multiply 2 (numerator of the first fraction) by 8 (denominator of the second fraction). That gives you a product of 16. Multiply 5 (denominator of the first fraction) by 3 (numerator of the second fraction). That gives you a product of 15.
Therefore, the two products you get when you cross-multiply the fractions 2/5 and 3/8 are 16 and 15. Thus, the correct answer is option c: 16 and 15.
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Ciro made a sign in the shape of a trapezoid. The parallel sides measured 18 inches and 35 inches. The distance between these sides was 19 inches. What was the area of Ciro's sign?
Final answer:
The area of Ciro's trapezoidal sign is calculated using the formula for the area of a trapezoid, which is 503.5 square inches.
Explanation:
The student's question involves calculating the area of a trapezoid. The formula for the area of a trapezoid is ½(√ + ∛)×h, where √ and ∛ are the lengths of the parallel sides and h is the distance between these sides. Given that √ = 18 inches, ∛ = 35 inches, and h = 19 inches, plug these values into the formula to get:
Area = ½(18 inches + 35 inches) × 19 inches
Area = ½(53 inches) × 19 inches
Area = 26.5 inches × 19 inches
Area = 503.5 square inches
So, the area of Ciro's sign, which is trapezoidal is 503.5 square inches.
kerry cut an 8 foot long board 6 pieces that are equal in length
Answer:
1 1/3 ft
Step-by-step explanation:
We have 8 feet of board to work with. In order to find how long each of the 6 pieces are, we need to divide 8 by 6: 8 / 6 = 4 / 3 = 1 1/3 ft.
Thus, the length of each piece is 1 1/3 ft.
Hope this helps!
What is 2 divided by 565
Answer:
.003539823 to be exact
Step-by-step explanation:
well 565 cant go into 2 one time so it be a decimal.
On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 3, negative 3) and (3, 1). Everything below and to the right of the line is shaded.
Which linear inequality is represented by the graph?
y > Two-thirdsx – 2
y < Two-thirdsx + 2
y > Two-thirdsx + 1
y < Two-thirdsx – 1
y < 2/3x - 1
Step-by-step explanation:Find the Equation of the line
P1(-3,-3) P2 (3,1)
1.) Find the Slope
Rise: 1-(-3) = 4
Run: 3-(-3) = 6
m = [tex]\frac{Rise(Changeiny)}{Run(Changeinx)}[/tex] = [tex]\frac{4}{6}[/tex]=[tex]\frac{2}{3}[/tex]
2.) Find y intercept (B)
y = 2/3x + b
-3 = 2/3(-3) + b <-Plug a point in
-3 = 2 + b
-2 -2
-1 = b
3.) Equation
y = 2/3x - 1
Write an inequality
Since y must be below the line, that means y is less than the equation used to find the line.
y < 2/3x - 1
Though I was not able to get the right answer I'll just answer what has the right equation.
Answer:
y < Two-thirdsx – 1
Step-by-step explanation:
1) A chemist has 250 ml of a 5% acid solution. How much water should be added to this solution to reduce it to a 3% solution.
Answer:
153.1ml
Step-by-step explanation:
We have 12.5ml of acid in the solution.
If we want this to be 3% then we can divide this value by 3 and times by 100 to get the total value.
416.6ml total solution amount
415.6-12.5-250=153.1