what is meant by saying that a variable has a chi-square distribution?

Answers

Answer 1

When we say that a variable has a chi-square distribution, we mean that the variable is the sum of squared standard normal random variables.

In other words, the chi-square distribution is a probability distribution of the sum of the squares of k independent standard normal random variables, where k is the number of degrees of freedom. The chi-square distribution is a continuous probability distribution that takes on only non-negative values. The shape of the distribution depends on the degrees of freedom, and as the degrees of freedom increase, the distribution becomes more symmetrical and approaches a normal distribution. The chi-square distribution is commonly used in statistical hypothesis testing and in the construction of confidence intervals for population variances.

To know more about chi-square distribution,

https://brainly.com/question/30894174

#SPJ11


Related Questions

There are 8 red cards, 6 blue cards, 7 purple cards, and 4 green cards in a hat.


Part A. What is the theoretical probability of drawing a red card from the hat?


Part B. In a trial, a card is drawn from the hat and then replaced 1,150 times. A red card is drawn 437 times. How much greater is the experimental probability than the theoretical probability?

Oh, wait- I figured it out hehe

Answers

Part A: The theoretical probability of drawing a red card is 0.32 or 32%.

Part B: The experimental probability of drawing a red card is 0.38 or 38%, and it is 6% greater than the theoretical probability.

Part A: The theoretical probability of drawing a red card from the hat is the number of red cards divided by the total number of cards in the hat:

\(P_{red}\) = 8 ÷ (8 + 6 + 7 + 4)

= 8 ÷ 25

= 0.32 or 32%.

Part B: The experimental probability of drawing a red card can be calculated by dividing the number of times a red card was drawn by the total number of trials:

\(P_{red}\) = 437 ÷ 1150

= 0.38 or 38%.

The difference between the experimental probability and the theoretical probability can be calculated as follows:

0.38 - 0.32

= 0.06 or 6%

To learn more about probability follow the link:

https://brainly.com/question/30231190

#SPJ1

What is the main function of the female reproductive system ?

Answers

The main function of the female reproductive system is to allowing a person to have sexual intercourse, it also helps a person reproduce.

What is the female reproductive system?

Both internal and exterior organs make up the female reproductive system. It is in charge of hormone production, menstruation, and sexual activity.

The physical parts that assist women or those who were assigned female at birth (AFAB) are the female reproductive system:

Have a sexual encounter.

Reproduce.

Menstruate.

The female reproductive system serves a number of purposes. It aids in sexual reproduction in addition to enabling sexual activity.

You make eggs using your ovaries. During ovulation, these eggs are subsequently moved to your fallopian tube where sperm fertilisation may take place. The fertilised egg is then transferred to your uterus, where the lining has expanded due to the regular hormones produced during your menstrual cycle (also called your reproductive cycle).

To learn more about female reproductive system visit:

brainly.com/question/1021794

#SPJ4

The reproductive system of a woman performs three primary tasks: releasing eggs that may be fertilized by sperm; (ii) producing female sex hormones including progesterone and oestrogen; and (iii) creating a favorable environment for the development of a fertilized egg during pregnancy.

What is the reproductive system of a woman?

The female reproductive system is made up of both internal and external organs. Menstruation, sexual activity, and hormone production are all under its control.

Mention important roles played by women's reproductive part.

The female reproductive system is one of the physical components that helps women or people who were given that gender at birth (AFAB):

Engage in sexual activity.

Reproduce.

Menstruate.

There are many uses for the female reproductive system. Along with permitting sexual activity, it also promotes sexual reproduction.

A woman's reproductive system primarily serves to: I release eggs that may be fertilized by sperm; (ii) produce female sex hormones like progesterone and oestrogen; (iii) create an environment for a fertilized egg to develop throughout pregnancy; and (iv) facilitate labor and childbirth.

To learn more about woman's reproductive system visit the link:

http://brainly.com/question/10234107

#SPJ4

Ex

Sharon made a triangle park the scale is 1 meter equals 1unit what is the area in square meter

Answers

Answer:

Step-by-step explanation:

1unit is equal to. .?

How did Progressives address the problems caused by industrialization?

Answers

The main objectives of the Progressive movement were addressing problems caused by industrialization, urbanization, immigration, and political corruption. ... By taking down these corrupt representatives in office, a further means of direct democracy would be established.

Corey is ready to begin the process of producing his final animation. Unfortunately,
his computer does not have the power to render the final scene, so he outsources
the render to a computer that will execute the function. What method allows him to
do this?
(1 point)
O image sequences
Obatch render
O net rendering
O multi-passing

Answers

Net rendering is a method of rendering a computer-generated animation or image on multiple computers over a network.

Net rendering is a method of rendering a computer-generated animation or image on multiple computers over a network. This technique allows a user to take advantage of the computing power of multiple computers to render a scene. To do this, the user would divide the scene into several parts, assigning each part to a different computer. The computers would then render each part of the scene independently, and then the results are combined into a single image. This process can significantly reduce the time required to render a scene, as the workload is distributed over multiple computers. For example, if it would normally take a single computer 10 minutes to render a scene, net rendering could reduce that time to 2 minutes.

Learn more about significantly here:

https://brainly.com/question/14789537

#SPJ1

Evaluate the expression for the given variable values. 3 |m + 2n|² -(mn)² if m = 3 and n = -5-1212794-78

Answers

We have the expression:

\(3|m+2n|^2-(mn)^2\)

We have to evaluate it for m = 3 and n = -5.

To do that we replace the variables with its values and calculate:

\(\begin{gathered} 3|m+2n|^2-(mn)^2 \\ 3|3+2(-5)|^2-(3\cdot(-5))^2 \\ 3|3-10|^2-(-15)^2 \\ 3|-7|^2-225 \\ 3\cdot7^2-225 \\ 3\cdot49-225 \\ 147-225 \\ -78 \end{gathered}\)

Answer: the value of the expression is -78.


Sammy has a number cube (dice). Calculate the following: What are the
odds against rolling an odd number?

Answers

Answer:

3/6 or 1/2.........................

Answer:

The probability is

5

6

.

Explanation:

Probability is

d

e

s

i

r

e

d

a

l

l

Let's find the possible outcomes of rolling odd.

1,3,5 are all odd. We have 3 outcomes.

Now find the possible outcome of a power of 2.

2 is

2

1

, 4 is

2

2

. We have 2 DIFFERENT outcomes.

(If these outcomes overlapped, we would have to subtract to get unique outcomes. In this case, these outcomes are different)

Now, we find the total number of possible outcomes.

A dice has 6 different outcomes.

Now add up the desired outcomes,

3

+

2

=

5

and so the probability is

5

6

Chef bought 3 3/4 kilograms of apples 7 1/4 kilograms of pears and 10 1/8 kilograms of oranges. How many kilograms of fruit is a chef choose the best estimate


Answers

Answer: 21 1/8 kilogram

Step-by-step explanation:

From the question, we are informed that Chef bought 3 3/4 kilograms of apples 7 1/4 kilograms of pears and 10 1/8 kilograms of oranges. The total kilogram of fruits bought would be:

= 3 3/4 + 7 1/4 + 10 1/8

Note that the Lowest Common Multiple is 8.

= 3 6/8 + 7 2/8 + 10 1/8

= 20 9/8

= 21 1/8 kilogram

Find the 12th term of the geometric sequence 10, -50, 250, ...

Answers

Answer:    -488,281,250

Explanation:

The starting term is a = 10.

The common ratio r is found by dividing each term by its previous term.

r = (term2)/(term1) = -50/10 = -5r = (term3)/(term2) = 250/(-50) = -5

The nth term is therefore \(a_n = a(r)^{n-1} = 10(-5)^{n-1}\)

Plug in n = 12 to get the 12th term:

\(a_n = 10(-5)^{n-1}\\\\a_{12} = 10(-5)^{12-1}\\\\a_{12} = 10(-5)^{11}\\\\a_{12} = 10(-48,828,125)\\\\a_{12} = -488,281,250\\\\\)

Delete the commas if your teacher requires it.

The table shows the number of days required to perform a given number of chores. The number of days varies directly with the number of chores. What is the constant of variation?

The table shows the number of days required to perform a given number of chores. The number of days varies

Answers

Answer:

THE CONSTANT OF VARIATION IS 1/2 or 0.5

Step-by-step explanation:

Here, we want to calculate the variation constant.

From the question, we are told that number of days varies directly as the number of chores

Mathematically, that would be;

y = kx

where k is the constant of proportionality

To get the value of k, we simply divide the value of y at a point by the value of x at that point

Mathematically;

1 = 2k

which is same as

5 = 10k

Thus, the value of k would be 5/10 = 1/2 or 0.5

Answer:

The answer is 1/2 so C

Step-by-step explanation:

in a well-shuffled pack of cards, the odds in favor of picking a diamond card are . what is the probability of drawing this card?

Answers

The probability of drawing this card will be 0.25.

How to calculate the probability?

Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1. In this case, 0 denotes the impossibility of the event and 1 represents certainty.

It should be noted that in a pack of card, the number of diamond faced card is 13. Therefore, the probability will be:

Number of diamonds / Total cards

= 13 / 52

= 0.25

The probability is 0.25.

Learn more about probability on:

brainly.com/question/24756209

#SPJ1

Thomas and Grace earned a total of $48 shoveling snow. If Thomas earned three times as much as Grace, how much did Thomas earn?​ Write an equation and solve

Answers

Music us enjoy to --- and said aaaa

What is the translation for this graph ! Help pls

What is the translation for this graph ! Help pls

Answers

Answer:

right 3 up 4

Step-by-step explanation:

Answer:

x+3, y+4

Step-by-step explanation:

At McDonald’s, a cheeseburger has 1/10 pound of meat. A
quarter-pounder has 1/4 pound of meat.
a. How much more meat is used for the quarter-pounder?

Answers

Answer:

3/20 of more meat is used for a quarter pounder

Help needed!!!
a) Convert the length and width of the swimming pool from centimetres to metres.

b) You’re thinking of laying bricks around the outside of the pool. Find the perimeter of the swimming pool, in metres.

c) You want to buy a pool cover. By rounding off your answers in a) to the nearest metre, estimate the area of the pool by multiplying the 2 numbers together.

d) Find the exact area of your new pool, in m2.

e) Was your estimate in d) reasonable?

f) Please explain why it was accurate or not

Help needed!!!a) Convert the length and width of the swimming pool from centimetres to metres. b) Youre

Answers

Answer:

Step-by-step explanation:

a) 100cm 1m so, 320/100=3.2m, 1200/100=12m

b) 3.2+3.2+12+12= 6.4+24=30.4

c) 3*12=36m squared

d) 3.2*12= 3*12+0.2*12=36+2.4=38.4m squared

e) My estimate in d) was reasonable

f) This is because 36 and 38.4 are really close to each other they only have a difference of 2.4 and that is because instead of multiplying the estimate with 3 and a 0.2 I just multiplied it with a 3. 0.2*12=2.4 so the difference is reasonable.

2x+1y-5=0
necesito encontra la interseccion de los ejes x e y porfa

Answers

Answer:

el origen  espero wue ayuda

Step-by-step explanation:

. Find the volume of the solid bounded by the surface z = 1-x² - y² and the xy-plane.

Answers

The volume of the solid bounded by the surface z = 1 - x² - y² and the xy-plane is found by integrating the area of each cross-section perpendicular to the xy-plane. The volume is π/2 cubic units.

To find the volume of the solid bounded by the surface z = 1 - x² - y² and the xy-plane, we need to integrate the area of each cross-section perpendicular to the xy-plane.

Each cross-section is a circle with radius r = √(1 - z), centered at the origin. The area of a circle with radius r is A = πr². Therefore, the area of each cross-section is:

A(z) = π(1 - z)

Integrating this area with respect to z from 0 to 1 (since the surface z = 1 - x² - y² is bounded between 0 and 1), we get:

V = ∫₀¹ A(z) dz

 = ∫₀¹ π(1 - z) dz

 = π[z - (z²/2)] from 0 to 1

 = π/2

Therefore, the volume of the solid bounded by the surface z = 1 - x² - y² and the xy-plane is π/2 cubic units.

To know more about volume of the solid, visit:
brainly.com/question/23705404
#SPJ11

What is the relationship between

What is the relationship between

Answers

Answer:

option A

Step-by-step explanation:

the together form a complementary angles.

hope this helps you.

✌️✌️✌️

The sum of the measure of angle ∠AXY and angle ∠YXB is the measure of ∠AXB.

The relationship between ∠AXY and ∠YXB is that they are;

Complementary angles

Reasons:

From the diagram in the question, we have;

∠BXC = 90° Given

∠BXC and ∠BXA are linear pair angles

Therefore;

∠BXC and ∠BXA are supplementary angles, which gives;

∠BXC + ∠BXA = 180° definition of supplementary angles

Therefore;

∠BXA = 180° - ∠BXC

∠BXA = 180° - 90° = 90°

∠BXA = 90°

∠AXY + ∠YXB = ∠BXA by angle addition property

Which gives;

∠AXY + ∠YXB = 90° by substitution property

Therefore ∠AXY and ∠YXB are;

Complementary angles,  by definition of complementary angles.

Learn more about complementary angles here:

https://brainly.com/question/3070324

Linda received a $25.00 gift card for a photo center. She used it to buy prints that cost 25 cents each. The remaining balance, B (in dollars), on the card after
buying x prints is given by the following.
B=25.00-0.25x
What is the remaining balance on the card if Linda bought 30 prints?

Answers

Answer:$17.50 remaining

Step-by-step explanation: 0.25 x 30 = 7.50

7.50 - 25.00 = $17.50 remaining

Answer:

$17.5

Step-by-step explanation:

B = 25 -0.25(30)

B = 25 - 7.5

B = 25.0 - 7.5

B = $17.5

Which of these statements concerning the systems development life cycle is true?A) Designing the system is the first step in the SDLC.B) No phase can occur until the previous phase is completed.C) Although each phase is presented discretely, it is never accomplished as a separate step.D) There is widespread agreement that the SDLC is composed of seven phases.

Answers

The Systems Development Life Cycle (SDLC) is a process used in the development of software and information systems. It provides a framework for managing the entire software development process, from initial planning and requirements gathering through to implementation, testing, and maintenance. There are typically several phases involved in the SDLC, each with its own unique set of activities. The correct statement is "No phase can occur until the previous phase is completed."

Of the statements provided, the true statement concerning the systems development life cycle is that "No phase can occur until the previous phase is completed." This is because each phase of the SDLC builds on the previous phase, and it is necessary to complete each phase before moving on to the next one.

For example, in the first phase of the SDLC, requirements gathering and analysis, the project team works with stakeholders to identify the project scope, goals, and objectives. Once this phase is completed, the project team can move on to the next phase of the SDLC, which is typically design. In the design phase, the team uses the requirements identified in the previous phase to create a detailed design for the system. Once the design phase is complete, the team can move on to the next phase, which is typically development.

It is important to note that although each phase of the SDLC is presented discretely, they are never accomplished as separate steps. Rather, each phase is a part of a continuous process that is revisited and refined as necessary throughout the development cycle. Furthermore, while there is no consensus on the exact number of phases in the SDLC, there is widespread agreement that the process consists of several distinct phases, each with its own set of activities and deliverables.

For more such questions on Systems Development Life Cycle (SDLC).

https://brainly.com/question/28192391#

#SPJ11

the area of a square is increasing at a rate of 30 centimeters squared per second. find the rate of change of the side of the square when it is 3 centimeters.

Answers

The rate of change of the side of the square is 1.5 centimeters per second when the area is 3 square centimeters.

Let's denote the side length of the square as s, and the area of the square as A. Then we know that \(A = s^2\). We are given that \(dA/dt = 30 cm^2/s\), which means that the area of the square is increasing at a rate of \(30 cm^2/s\). We want to find ds/dt, the rate of change of the side of the square.

Using the chain rule, we have:

\(dA/dt = d/dt (s^2) = 2s ds/dt\)

Solving for ds/dt, we get:

\(ds/dt = (1/2s) dA/dt\)

When the area is \(3 cm^2\), the side length is \(s = \sqrt{3} cm\). Plugging in dA/dt = 30 cm^2/s and s = sqrt(3) cm, we get:

\(ds/dt = (1/2(\sqrt{3})) (30) = 1.5 cm/s\)

Therefore, the rate of change of the side of the square is 1.5 cm/s when the area is 3 cm^2.

For more questions like Area visit the link below:

https://brainly.com/question/24159256

#SPJ11

the value of y varies directly with X. Which function represents the relationship between X and Y if y equals 15/6 when x equals 20​

Answers

Answer:

y = (1/8)x

Step-by-step explanation:

The relevant basic formula is y = kx, where k is the constant of proportionality.

We must find k.  To do this, let y = 15/6 and x = 20 in the above formula:

15/6 = k(20)

We solve for k by dividing both sides by 20:  15/(6*20) = k = 1/8

Then the specific formula for this situation is y = (1/8)x

factor 144abc−108ab . if the expression cannot be factored, write cannot be factored.

Answers

The factored form of the expression 144abc - 108ab is 36ab(4c - 3).

To factor the expression 144abc - 108ab, we can first identify the common factors of the terms.

In this case, we can see that both terms have a common factor of 36ab:

144abc - 108ab = 36ab(4c - 3)

So, the expression can be factored as 36ab(4c - 3).

This means that the expression is not prime and can be simplified further by factoring out the common factor.

By factoring out the common factor of 36ab, we obtain the simplified form of the expression as 36ab times the binomial (4c - 3).

To know more about factored form refer here:

https://brainly.com/question/43919#

#SPJ11

Currently, airlines charge extra fees for having baggage that is overweight (50)pounds. Mr. Yeehaw is returning home to Germany after a trip to America and is hoping that he will be able to bring his entire NASCAR racing models in his suitcase. Mr.Yeehaw weighs 182.5 pounds. When he grabs the suitcase and steps on the scale, it reads 223.7 pounds. How much does the suitcase weigh?

Answers

Answer:

41.2 pounds

Step-by-step explanation:

The weight of the suitcase is the difference of the two measures:

223.7 - 182.5 = 41.2 pounds

Since its less than 50 pounds no extra fees will be charges.

Weight of suitcase

After-before223.7-182.541.2lbs

No extra charge

In the diagram below, AB is parallel to CD. What is the value of x?

In the diagram below, AB is parallel to CD. What is the value of x?

Answers

Answer:

150 degrees

Step-by-step explanation:

You can figure this out by looking at the degrees below d, and you see it is thirty, and that it is equal to the degree above the x, so then you subtract 30 from 180 to get 150. Hopefully that makes sence, I forgot what some of the terms are called.

The main cable of a suspension bridge forms a parabola described by the equation y = a(x - 50)2 + 6. What is the value of a?

The main cable of a suspension bridge forms a parabola described by the equation y = a(x - 50)2 + 6.

Answers

Answer:

Which quadratic equation models the main cable of the bridge correctly?

y = 0.048x2 – 2494

y = 0.048x2 – 6

y = 0.0048(x – 50)2 + 6 (This is correct)

y = 0.0048(x – 6)2 + 50

The value of a is 0.0048.

Given that,

The main cable of a suspension bridge forms a parabola described by the equation,

\(\rm y = a(x-50)^2+6\)

We have to find,

The value of a.

According to the question,

The given relationship between the variables x and y is,

\(\rm y = a(x-50)^2+6\)

In the given graph the points of the parabola are (30, 7.92), (50, 6), and (70, 7.92)

1. The value of an at the point (30, 7.92) is,

\(\rm y = a(x-50)^2+6\\\\7.92 = a (30-50)^2 +6\\\\7.92 = a(-20)^2 + 6\\\\7.92 = 400a +6\\\\7.92 -6 = 400a\\\\1.92 = 400a\\\\a = \dfrac{1.92}{400}\\\\a = 0.0048\)

2. The value of an at the point (70, 7.92) is,

\(\rm y = a(x-50)^2+6\\\\7.92 = a (70-50)^2 +6\\\\7.92 = a(20)^2 + 6\\\\7.92 = 400a +6\\\\7.92 -6 = 400a\\\\1.92 = 400a\\\\a = \dfrac{1.92}{400}\\\\a = 0.0048\)

3.  The value of an at the point (50, 6) is an infinite solution the value of a is not defined at the points.

Hence, The value of a is 0.0048.

For more details refer to the link given below.

https://brainly.com/question/25996776

 

What do you notice about the measures of anges the are side by side?

What do you notice about the measures of anges the are side by side?

Answers

they add up to 180 degrees

Please help i don't understand

Please help i don't understand

Answers

Step-by-step explanation:

what I don't understand is why the distance around the window has to be written twice.

but let's start with the circumference of the complete circle :

2×pi×r = 2×22/7 × 3.5

or as the boxes are lined

22/7 × 2 × 3.5 = 22/7 × 7 = 22 ft

the circumference of half the circle is then about

22/2 = 11 ft

the distance around the window is then

11 + 3.5×2 = 11 + 7 = 18 ft

Consider the figure shown below (not drawn to scale). Both of the triangles are RIGHT triangles. y X(0,13) Y(0,7) Z(0,3) (0,0) J The length of vertical segment XY is: W(3,13) P 0 T(9,9) S(9,3) -X​

Answers

Both of the triangles are RIGHT triangles. y X(0,13) Y(0,7) Z(0,3) (0,0) J.  the length of vertical segment XY is 6.

What is a vertical segment?

Generally, A part of a line that is totally vertical is referred to as a vertical line segment. This means that the two vertices that make up the segment's ends have the same x- and y-coordinates but different z-coordinates than one another.

The length of vertical segment XY can be found by subtracting the y-coordinate of point X from the y-coordinate of point Y.

In this case, the y-coordinate of point X is 13 and the y-coordinate of point Y is 7, so the length of vertical segment XY is

13 - 7 = 6.

Read more about vertical segment

https://brainly.com/question/28049753

#SPJ1

Complete Question not found

Image not found  

MATH HOMEWORK HELP PLEASE

MATH HOMEWORK HELP PLEASE

Answers

Answer:

A

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

\(r=\frac{\frac{4}{25} }{\frac{2}{5} } \\r=\frac{4}{25} \times \frac{5}{2} =\frac{2}{5} <1\\s_{\infty}=\frac{a}{1-r} =\frac{\frac{2}{5} }{1-\frac{2}{5} } =\frac{2}{5} \times \frac{5}{3} =\frac{2}{3}\)

Other Questions
what is name of each shape Vol. XI Five Lectures on Psycho-Analysis, Leonardo and Other Works (1910) The Standard Edition of the Complete Psychological Works of Sigmund Freud an mnc can multiple choice increase economic efficiency. be a factor that increases the opportunity set of domestic investors. be a factor that increases the opportunities of the citizens of less developed countries. all of the options Which of the following is a government retirement program that offers a tax incentive?A. Roth IRAB. Opt- out program C. A 529 planD. Contribution matching give one word for the following : multimovement sacred work including arias, ariosos, and recitatives, performed by vocal soloists, a chorus, and a small accompanying orchestra What are the parts of the cell membrane? Beryllium (Be) has an atomic number of 4 and an atomic mass of 9. Beryllium has _____.9 electrons4 electrons5 electrons13 electrons Turner helped his grandfather build a raised garden bed for Tanners grandmother. The bed is shaped like a rectangular prism that is 4 1/2 feet wide and a half of a foot tall. Turner and his grandfather use 18 bags of topsoil, each containing three force of a cubic foot, to feel the bed completely. How long is the garden? What is the importance of Purpose Driven Life? Healthy biodiversity providesA. Protection of water resourcesB. soils formation and protectionC. Nutrient storage and recycling D. all of the above Explain how the drawing relates to entrepreneurship and the rights and responsibilities of starting a business.2. What evidence is given in the drawing that justifies calling the U.S. economic system a free enterprise system?3. What are the six main principles of the U.S. free enterprise system that are shown in the drawing?4. How does this drawing show Smiths laissez faire ideas? 5. How does the drawing relate to property rights and government restrictions on property use by businesses and individuals?6. How does the benefit of allowing producers freedom result in the benefit for consumers of varied and abundant quantities of goods?7. Explain how companies compete in an industry with monopolistic competition. In addition to ozone, what four other greenhouse gases or groups of greenhouse gases are included in nearly all the climate models? Which best describes the main conflict in"The cask of Amontillado Job-lock has been a serious problem for those with pre-existing conditions, because they cannot move onto another/new job out of fear of losing their coverage. The following laws have significantly reduced this problem. Please choose all that apply. Group of answer choices A) PSDA B)PPACA C)Hill Burton Act D)ADA E)HIPAA 26,000 nanoliters = ? dekalitersShow Calculation steps Question 2 of 15CD is an altitude of A ACB. What is the length of AD?OA. 15B. 20OC. 12OD. 10 Use the vertical line test to determine whether the relation is a function 2x+6/(x^2+3x) - x+3/(x^2+x) what is the cause of decrease in demand of products In "Harrison Bergeron," why is Harrison Bergerons character considered a danger to society?a. He is physically and intellectually superior to others and threatens their sense of equality.b. He calls himself the Emperor and has constructed a detailed plot to overthrow the government.c. He breaks into the studio and kidnaps a ballerina.d. He is able to easily remove his physical handicaps.