Distributionally robust stochastic programs with side information based on trimmings
This is a research paper whose authors are Adrián Esteban-Pérez and Juan M. Morales.
Abstract:
We look at stochastic programmes that are conditional on some covariate information, where the only knowledge of the possible relationship between the unknown parameters and the covariates is a limited data sample of their joint distribution. We build a data-driven Distributionally Robust Optimization (DRO) framework to hedge the decision against the inherent error in the process of inferring conditional information from limited joint data by leveraging the close relationship between the notion of trimmings of a probability measure and the partial mass transportation problem.We demonstrate that our technique is computationally as tractable as the usual (no side information) Wasserstein-metric-based DRO and provides performance guarantees. Furthermore, our DRO framework may be easily applied to data-driven decision-making issues involving tainted samples. Finally, using a single-item newsvendor problem and a portfolio allocation problem with side information, the theoretical findings are presented.Conclusions:
We used the relationship between probability reductions and partial mass transit in this study to give a straightforward, yet powerful and creative technique to expand the usual Wasserstein-metric-based DRO to the situation of conditional stochastic programming. In the process of inferring the conditional probability measure of the random parameters from a limited sample drawn from the genuine joint data-generating distribution, our technique generates judgments that are distributionally resilient to uncertainty. In a series of numerical tests based on the single-item newsvendor issue and a portfolio allocation problem, we proved that our strategy achieves much higher out-of-sample performance than several current options. We backed up these actual findings with theoretical analysis, demonstrating that our strategy had appealing performance guarantees.To learn more about probability, visit :
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plss help(image attached que 5)
Answer:
3300cm² is the answer of this question i guess so
a cylindrical container must hold 2l or 2,000 cm^3 of liquid. find the dimensions of the container which will minimize the amount of material needed.
The dimensions of the container is r = 6.828 cm and h = 13.656 cm.
Volume of the Cone:
Volume of the cone is define the space or the capacity of the cone.
The formula for the volume of the cone is,
V = πr²h
Where
r represents the radius of the cone
h represents the height of the cone
Given,
Cylindrical container must hold 2l or 2,000 cm³ of liquid.
Here we need to find the dimensions of the container which will minimize the amount of material needed.
Let height = h and radius of the base = r.
We know that the volume of the container,
V = 2000
We know the formula of volume of the cone is,
V = πr²h
2000 = πr²h
Here we need the value of h,
So,
h = 2000/πr²
and surface area of the can
S = 2πr² + 2πrh
Apply the value of h,
S = 2πr² + 2πr (2000/πr²)
S = 2πr²+ (4000/r)
S = 2πr²+ 4000 x r⁻¹
S′=(−1)(4000r⁻²)+4πr
S′=4πr−(4000/r²)
Consider,
4πr−(4000/r²) = 0
4πr³−4000 = 0
πr³−1000 = 0
πr³ = 1000
r³ = 1000 / π
r = √1000 / π
r = 6.828 cm
Apply the value of r on the equation to find the value of h,
h = 2000/(π∗(6.828)²)
h = 2000/146.46
h = 13.656
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Triangle ABC has vertices A(-1,1), B(2,3) and
C(-1,-4). Which composition of
transformations
point (-2,5)?
will move vertex B to the
Point(-2,5)?
A. T0,2 or y-axis
B. T-4,8 or x-axis
C. Y-axis or T0,2
D. All of these compositions
The transformation that will move vertex B (-2,3) to (-2,5) is transforming the point B up 2 units into y axis.
What is translation ?Translation in geometry means moving a figure on x-y coordinate without changing it's size and shape.We can translate a triangle with given vertices by adding or subtracting values for points(x,y)
The triangle ABC has vertices A(-1,1), B(-2,3) and C(-1,-4).
Now to transform vertex B to(-2,5) from (-2,3) we have to make a transformation of 0 units on x axis and 2 units up on y axis which is translation.
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The correct question is Triangle ABC has vertices A(-1,1), B(-2,3) and
C(-1,-4). Which composition of transformations will move vertex B to the Point(-2,5)?
Answer the question in photo [ Brainliest + 20 points ]
Answer:
27 units
Step-by-step explanation:
First lets add the 2 segments on the top.
8x-11 + 14x-15
Then we can add the like terms together to get
22x-26
The equation above is equal to the equation below the number line, since we added the two on top together, so:
22x-26=19x-17
Now we can start solving
Add 26 to both sides and subtract 19 from both sides
3x=9
Now we can divide by 3
x=3
TU is 14x-15, so we can substitute in 3 for x
14*3-15
42-15
27
Answer:
27 units
Step-by-step explanation:
Set up an equation:
8x -11 + 14x -15 = 19x - 17
Combine like terms:
22x - 26 = 19x -17
Subtract 19x on both sides:
(22x - 26) - 19x = (19x - 17) - 19x
3x - 26 = -17
Add 26 on both sides to isolate the x term:
(3x - 26) + 26 = (-17) + 26
3x = 9
Then, divide by 3 on both sides to fully isolate x:
3x / 3 = 9 / 3
x = 3
Plug 3 for x into the formula for TU:
14(3) - 15 = x
42 - 15 = x
x = 27
TU = 27 units
Hope this helps!
Determine if 0.528176817681768176 is rational or irrational
0.528176817681768176 is a rational number as it is non terminating but repeating decimal number.
A rational number is a number that can be expressed in the form of p / q where q is not equal to 0.
It can be terminating or non terminating but repeating number.
We are given a decimal number:
0.528176817681768176
We can see that, after .52, the digits 8176 keeps on repeating itself.
So, the number can also be written as:
0.528176 ( bar on 8176)
This means that the decimal number that is given is a non terminating but repeating rational number.
Therefore, 0.528176817681768176 is a rational number as it is non terminating but repeating decimal number.
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A rectangular park is 18 miles long and 6 miles wide. How long is a pedestrian route that runs diagonally across the park
The pedestrian route that runs diagonally across the park will be [tex]6\sqrt{10}[/tex] miles long.
Here, we are given that a rectangular park is 18 miles long and 6 miles wide.
As we know that the angles formed by any two adjacent sides of a rectangle are all 90°, the diagonal divides the rectangle into 2 right angled triangles.
One side of the right angled triangle will be 18 miles and another side will be 6 miles.
According to the Pythagoras theorem,
[tex]hypotenuse^{2} = base^{2} + height^{2}[/tex]
Here, the diagonal will be the hypotenuse as it is the side opposite the right angle.
Hence we get the following equation-
[tex]hypotenuse^{2} = 18^{2} + 6^{2}[/tex]
[tex]hypotenuse^{2}[/tex] = 324 + 36
[tex]hypotenuse^{2}[/tex] = 360
Hypotenuse = [tex]\sqrt{360}[/tex]
Hypotenuse = [tex]6\sqrt{10}[/tex]
Thus, the pedestrian route that runs diagonally across the park will be [tex]6\sqrt{10}[/tex] miles long.
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What is 0.904 subtract 0.01?
Answer:
0.894 is your correct answer.
Answer:
0.894 because the 0.01 will affect the hundredths so the 0 will be affected in 0.904 and the 9 will change to an 8 because there's nothing left in 0 so you have to substitute.
Can someone please help me with proofs
Answer:
Hi the proof steps shown in the picture are correct.
a fighter jet traveled k miles in its first 96 minutes of flight time. if it completed the remaining 300 miles of the trip in t minutes, what was the average speed, in miles per hour for the entire trip?
The average speed was 60[tex]\frac{k+300}{96+t}[/tex]
We are given that a plane travelled k miles in 96 minutes. Since we need the average speed in miles per hour we can convert 96 minutes to hours.
96 minutes = 96/60 =8/5 hours
We are also given that the Plane completed the remaining 300 miles in t minutes. We must also convert t minutes to hours.
t minutes = t/60 hours
Now we can calculate the average speed for the entire trip, using the formula for average speed.
Average Speed = total distance/ total time
Average Speed = (k +300)/(8/5 + t/60)
Average speed = (k + 300) / ((96 + t)/60)
Hence, Average Speed = 60(k + 300)/ (96 + t)
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Explain how you can use a graphing calculator to determine if a table of values represents a proportional function.
Table: x and y increments must be the same. X and y increments need not be the same.
The x and y exponents should be 1. Linear equation.
Graphs should be straight.
This is further explained below.
Explain how you can use a graphing calculator to determine if a table of values represents a proportional function:Generally, Based on the table, you need to ensure that the increments for the x values and the y values are the same.
It is not necessary for the increment to be the same for both the x and y values.
The following conclusion may be drawn from an equation: both the x and y exponents should be set to 1.
It seems like we need a line equation for this problem.
In conclusion, Inferred from a graph: the shape of the graph ought to be that of an unbroken line.
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If a=-5, find the value of 2a² - 5a - 10
Answer:
= 65
Step-by-step explanation:
= 2×(-5)² - 5×(-5) - 10
= 2×25 + 25 - 10
= 50 + 15
= 65
Answer:
65
Step-by-step explanation:
Will give brainliest:
6.
The graph shows the number of acres, in millions, of farmland in the United States from 1975 to 2008 . Which statement describes the average rate of change of the graph?
From the graph, the average rate of change of the function is negative, which means that the number of farmland is decaying.
What is the average rate of change of a function?The average rate of change of a function is given by the change in the output divided by the change in the input. Hence, over an interval [a,b], the rate is given as follows:
[tex]r = \frac{f(b) - f(a)}{b - a}[/tex]
This problem is incomplete, and the options were not found on a search engine, but from the graph, what we can see is that the graph is decaying, that is, for any interval [a,b], f(a) > f(b), hence the average rate of change of the function is negative.
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Answer all pls/ anyone u cann
Using relations in a right triangle, we have that:
1 - a) x = 54.28º.
1 - b) y = 57.794º.
1 - c) z = 31.056º.
2) The angle is of 62.8º.
3) The angle is of x = 53.017º.
4) The angle x is of 20.364º, which is greater than 17º, hence she can use the smooth tiles.
5) The angle y is of 38.37º, which is greater than 35º, hence he can go down the slide.
What are the relations in a right triangle?The relations in a right triangle are given as follows:
The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.For item 1a, we have that the sides, hence:
tan x = 8.9/6.4
x = arctan(8.9/6.4)
x = 54.28º.
For item 1b, we have the adjacent side and the hypotenuse, hence:
cos y = 9.7/18.2
y = cos^-1 (9.7/18.2)
y = 57.794º.
For item 1c, we have the opposite side and the hypotenuse, hence:
sin z = 6.5/12.6
z = sin^-1(6.5/12.6)
z = 31.056º.
For item 2, we have the sides, given at the graph at the end of the answer, hence:
tan x = 7.2/3.7
x = tan^-1(7.2/3.7)
x = 62.8º.
The angle is of 62.8º.
For item 3, first we find the hypotenuse of the bottom triangle, by the Pythagorean Theorem, as follows:
h² = 7.9² + 18.6²
h = sqrt(7.9² + 18.6²)
h = 20.21.
Then:
sin x = 20.21/25.3
x = sin^-1(20.21/25.3)
x = 53.017º.
For item 4, we have the adjacent side and the hypotenuse, hence:
cos(x) = 3/3.2
x = cos^-1 (3/3.2)
x = 20.364º.
The angle x is of 20.364º, which is greater than 17º, hence she can use the smooth tiles.
For item 5, we have the opposite side and the hypotenuse, hence:
sin y = 1.8/2.9
y = sin^-1 (1.8/2.9)
y = 38.37º.
The angle y is of 38.37º, which is greater than 35º, hence he can go down the slide.
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Julia is the oldest of three siblings whose ages are consecutive integers. If the sum of their ages is 42, find Julia’s age
Answer:
Julia is 15
Step-by-step explanation:
13 + 14 + 15 = 42
Julia is the oldest and 15 is the greatest of the 3 numbers
therefore Julia is 15
Julia's age out of the three is equal to 15 years.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Julia is the oldest of three siblings whose ages are consecutive integers. If the sum of their ages is 42.
Julia's age will be calculated as,
13 + 14 + 15 = 42
Julia is the oldest and 15 is the greatest of the 3 numbers.
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the product of two consecutive integers is 420. which quadratic equation can be used to find x, the lesser number? x2 1
The quadratic equation, x(2) + 2 =420 can be used to find x.
you can use trial and error
x(2) + 2 =420
210(2)=420 but we need to add the two so lower the [tex]120[/tex]
209(2)=418+2 = 420
so, the x value must less than 21.
How do you write a quadratic equation in standard form?A quadratic equation with variable x is written in standard form as [tex]ax2 + bx + c = 0[/tex], where a, b, and c are constants such that the value of an is non-zero but the values of b and c can both be zeros.
Let's change [tex]ax2 + bx + c = 0[/tex] from its standard form to its vertex form, which is [tex]a (x - h)2 + k = 0[/tex], where (h, k) is the vertex of the quadratic function [tex]f(x) = a (x - h)2 + k[/tex]. Keep in mind that 'a' has the same value in both equations. Just set them equal so we can determine how the variables relate to one another.
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Moo berry creamery uses 2 cups of ice cream in each milkshake. How many milkshakes can they make with 1 gallon of ice cream?
Moo berry can make 8 milkshakes with 1 gallon of ice cream.
How to calculate the number of milkshakes ?Moo uses 2 cups of ice cream in each milkshake
He is using 1 gallon of ice cream
Therefore the number of milk shakes he can produce can be calculated as follows
16 cups makes 1 gallon
= 16/2
= 8
Hence 8 milkshakes can be made with one gallon of ice cream
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What is the value of x² + 2x + 3 when x = 3/4
27/4
81/16
6
69/16
5y + 7x = -1
-2y = -5x - 23
Elimination
Step-by-step explanation:
+25y + 35x = -1. × 5
+35x - 14y = -161. × 7
-. +. +
39y = 156
y=4
putting value of y in 5y + 7x =-1
5×4+7x =-1
7x = -21
x= -3
HELP!
Can someone explain to me how to find scaled factors as simply as they can?
Answer:
The formula for scale factor is: Scale factor = Dimension of the new shape ÷ Dimension of the original shape
To simplify the ratio just reduce it to the simplist form.
Divide each number in the ratio by the same amount to get the answer.
Step-by-step explanation:
hope this helps :)
Is it possible to calculate the cube root of a negative number?
Answer:
Yes, the cube root of a negative number can be calculated.
Step-by-step explanation:
NEED HELP ASAP look at picture
The required simplified value of the function is (f/g)(x) = (x - 3) / (x + 2). Option C is correct.
Given that,
f(x) = 2x² - 5x - 3
g(x) = 2x² + 5x + 2
(f / g)(x) = To be determined.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here.
f(x) = 2x² - 5x - 3
f(x) = (2x + 1) (x - 3 )
g(x) = 2x² + 5x + 2
g(x) = (2x + 1)(x + 2)
(f / g)(x) = (2x + 1) (x - 3 ) / (2x + 1)(x + 2)
(f/g)(x) = (x - 3) / (x + 2)
Thus, the required simplified value of the function is (f/g)(x) = (x - 3) / (x + 2). Option C is correct.
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exit how would thirteen billion, ninety thousand, four hundred sixteen be written in standard form? a. 13,000,090,416 b. 13,090,000,416 c. 13,000,900,416 d. 13,000,009,416
The option a. 13,000,090,416 is correct standard form.
Firstly, separating the numbers and finding the number of zeroes each unit will have. As per the known fact, the number in billion contains nine zeroes. The number ninety thousand will contain four zeroes. The number four hundred will contain two zeroes.
In the given options, every 13 is succeed by nine zeroes. So, checking the number of values after digit nine. Option a has four digits, option b has seven digits, option c has 5 digits and option d has three digits. So, option a will be correct. The number 416 will be at end, and it correct in each option.
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Simplify to a single power of 2:
(2²)^4
Answer:
[tex]\sf 2^{8}[/tex]
Step-by-step explanation:
Exponent rule:[tex]\sf \boxed{(a^m)^n=a^{m*n}}[/tex]
To convert to single power, multiply the powers.
[tex]\sf (2^2)^4= 2^{2*4}[/tex]
[tex]\sf =2^8[/tex]
[tex] \bf\implies \: {2}^{8} [/tex]
Step-by-step explanation:We know that,The exponent (^) rule to solve this problem that is :
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \bf \longrightarrow \: {(a^{m})}^{n} = {(a)}^{m \times n} [/tex]
According to the question :-
[tex] \bf \longrightarrow \: {(2^{2}) }^{4} [/tex]
[tex] \bf \longrightarrow \: (2)^{2 \times 4} [/tex]
[tex] \bf\longrightarrow \: {2}^{8} \: \boxed { \bf \: \red{ ans.}}[/tex]
What is the solution to this equation?
x + 4(x + 5) = 40
A. X= 4
B. X= 7
C. x=9
D. x = 12
Answer:
A
Step-by-step explanation:
x + 4(x + 5) = 40 ← distribute parenthesis and simplify left side
x + 4x + 20 = 40
5x + 20 = 40 ( subtract 20 from both sides )
5x = 20 ( divide both sides by 5 )
x = 4
HELP ANSWER PLSSSSSSSSSSSS
The degrees of the whole segment is 90 because we know that a right angle is 90 degrees and can be shown with a square in the corner. One angle inside the 90 degrees is 50 degrees and the other two values are the same. Since 90 - 50 = 40, we know that the remaining is 40 degrees. Since x is the same, we divide 40 by 2, getting 20 degrees.
ANSWER: x = 20 degrees
a rectangular mural measures 234 inches by 245 inches. rhiannon creates a new mural that is 33 inches longer what is the perimeter of the new mural
Answer: 1024 inches
Step-by-step explanation:
New Murals,
Length= 245+33 =278 inches
Width = 234 inches
Perimeter= 2*(278+234) = 1024 inches
PLEASE HELP
question down below
Answer:
Draw a line going down from the 300, with a break in the middle and finish it out at the 6 hr mark.
Step-by-step explanation:
Start at the 300 and draw that line down to the 180 mark lined up with the 2 hour dot. Then draw a horizontal line from there to the middle of the 2 and the 4. Then draw a line from where you ended the break with the same slope as the beginning.
Hope this helps!
ALGEBRA 1 QUESTION PLEASE HELP!!
Solve this literal equation:
V = 4/3 x pi x r^3
(x being a multiplication symbol, not a variable)
**PLEASE SHOW STEPS TO SOLVE**
Answer:
[tex]\sf \pi = \dfrac{3V}{4r^3}[/tex]
Explanation:
Equation:
[tex]V = \dfrac{4}{3} \pi r^3[/tex]
Task: make pie the subject.
cross multiply
[tex]\sf \dfrac{3V}{4} = \pi r^3[/tex]
divide both sides by r³
[tex]\sf \dfrac{3V}{4} \div r^3= \pi r^3 \div r^3[/tex]
simplify following
[tex]\sf \dfrac{3V}{4r^3} = \pi[/tex]
Hence:
[tex]\sf \pi = \dfrac{3V}{4r^3}[/tex]
Find the product.
2 1/3 ⋅ 3 1/2
Write the answer as a mixed number.
Parallel to 4x — 6y = -36 passing through (2,3)
An equation which is parallel to 4x - 6y = -36 passing through points (2, 3) is y = 2x/3 + 5/9.
What are parallel lines?Parallel lines can be defined as two (2) lines that are always the same (equal) distance apart and never meet.
The condition for two parallel lines.In Geometry, two (2) lines are considered to be parallel if their slopes are the same (equal) and they've different y-intercepts.
This ultimately implies that, two (2) lines are parallel under the following conditions:
m₁ = m₂
Note: m is the slope.
Simplifying the equation, we have:
4x - 6y = -36
6y = 4x + 36
Dividing both sides by 6, we have:
y = 2x/3 + 6
m₁ = m₂ = 2/3.
Mathematically, the standard form of the equation of a straight line is given by;
y - y₁ = m(x - x₁)
At point (2, 3), we have:
y - 3 = 2/3(x - 2)
y - 3 = 2/3(x - 2)
y - 3 = 2x/3 - 4/3
y = 2x/3 - 4/3 + 3
y = 2x/3 + 5/9
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