suppose we have a statistical model {fθ : θ ∈ [0, 1]} and we observe x0. is it true that 8 1 0 l(θ | x0) dθ = 1? explain why or why not

Answers

Answer 1

No, it is not true that ∫0 to 1 l(θ | x0) dθ = 1.

The integral of the likelihood function l(θ | x0) over the parameter space [0, 1] does not necessarily equal 1.

Here, The likelihood function l(θ | x0) measures the probability of observing the data x0 given the parameter value θ.

It is a function of the parameter θ, and not a probability distribution over θ.

Therefore, the integral of the likelihood function over the parameter space does not have to equal 1, unlike the integral of a probability density function over its support.

In fact, the integral of the likelihood function over the parameter space is often referred to as the marginal likelihood or the evidence, and is used in Bayesian inference to compute the posterior distribution of the parameter θ given the data x0.

The marginal likelihood is given by:

∫_0^1 l(θ | x0) p(θ) dθ

where , p(θ) is the prior distribution of the parameter θ.

The marginal likelihood is used to normalize the posterior distribution so that it integrates to 1:

p(θ | x0) = l(θ | x0) p(θ) / ∫_0^1 l(θ | x0) p(θ) dθ

In conclusion, the integral of the likelihood function over the parameter space does not necessarily equal 1, and is used in Bayesian inference to compute the posterior distribution of the parameter θ given the data x0.

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Related Questions

Does this image have a set of inputs to a set of possible outputs where each input is related to exactly one outputs Yes or No?
Explain your answer

Does this image have a set of inputs to a set of possible outputs where each input is related to exactly

Answers

Answer: Yes

This graph passes the vertical line test. This is a test where we try to draw a single vertical line through more than one point on the curve. In this case, such a thing is not possible. Any input x leads to exactly one output y. This graph is a function.

How is the value of the digit 5 in 465,200 related to the
value of the digit 5 in 652,400?

Answers

The value of 5 in 652,400 is ten times larger than the value of 5 in 465,200.

The value in a digit in a number is determine by the place it occupies in the number.

The value of each digit in 465,200 is:

0 = units

0 = tens

2 = hundreds

5 = thousands

6 = ten thousands

4 = hundred thousand

The value of each digit in 652,400 is:

0 = units

0 = tens

4 = hundreds

2 = thousands

5 = ten thousands

6 = hundred thousand

5 occupies the thousand value in 465,200 and 5 occupies the ten thousand value in 652,400 - 5,000 and 50,000. The value of 5 in 652,400 is ten times larger than the value of 5 in 465,200.

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Find the shaded area

Find the shaded area

Answers

Answer:

\(98m^{2}\)

Step-by-step explanation:

(find the unshaded triangle first)

length of unshaded triangle—> 13m-9m=4m

Breadth of unshaded triangle—> 8m-5m=3m

Area of unshaded triangle—> 0.5 x 4m x 3m = 0.5 x 12m = 6\(m^{2}\)

Area of whole rectangle—> 8mx13m=104\(m^{2}\)

area of shaded part is whole rectangle minus the unshaded triangle.

Thus, area of shaded part—> 104\(m^{2}\) - 6\(m^{2}\) = 98\(m^{2}\)

The actual distance between two towns is 90 miles. If the scale on a map is 1 inch = 30 miles, what is the distance between the two towns on the map ?

Answers

Answer: 3

Step-by-step explanation: 90 miles apart and if 1 inch equals 30 miles  divide 90/30 and you'll take 3

Solve the system of inequalities by graphing.
y<-4X – 1
y > 6x+7

Solve the system of inequalities by graphing.y&lt;-4X 1y &gt; 6x+7

Answers

Answer:  Graph A looks correct

Step-by-step explanation:

See attachment

Solve the system of inequalities by graphing.y&lt;-4X 1y &gt; 6x+7

Answer:

..A.nswer is option A..

Solve the system of inequalities by graphing.y&lt;-4X 1y &gt; 6x+7

A teacher surveys 30 students on the number of books they read over the summer. The data
are represented in the box plot. What is the median number of books read?
2 4
8
14
20
0
4
8
12
16
20
24
11
8
10
9

A teacher surveys 30 students on the number of books they read over the summer. The dataare represented

Answers

Answer: 8

Step-by-step explanation:

A box plot has 5 data descriptions. The correct option is b, 8.

How does a boxplot show the data points?

A box plot has 5 data descriptions.

The leftmost whisker shows the minimum value in the data.The rightmost whisker shows the maximum value in the data.The leftmost line in the box shows the first quartile.The middle line shows the median, also called the second quartile.The last line of the box shows the third quartile.

As it is known about the box-plot that the mid-line shows the median of the data, therefore, the median of the given box-plot is 8.

Hence, the correct option is b, 8.

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The function y = 3.28 x converts length from x meters to y feet.
a. Graph the function. Which variable is independent? dependent? b. Is the domain discrete or continuous

Answers

The given function y = 3.28x converts length from x meters to y feet.

To graph the function, we can plot a few points and connect them.

Here are some points that we can plot:

x (meters) y (feet)0 03.28 10.7613.12 42.9456.56 214.5489.14 299.8720 65.6160 524.9340.3048 1

Since y depends on x, x is the independent variable, and y is the dependent variable.

We can see that as the value of x increases, so does the value of y, which means that the graph slopes upward

The domain of a function is the set of all values that the independent variable can take on. Since we can have any positive value of x (in meters), the domain of this function is continuous.

In conclusion, the given function y = 3.28x converts length from x meters to y feet. x is the independent variable, and y is the dependent variable. The graph of the function slopes upward, indicating that as x increases, y also increases. The domain of the function is continuous because x can take on any positive value.

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Use a calculator to solve each problem. Round your answers to the nearest hundredth.

What is the absolute magnitude of a star that has a period of 62 days?

Answers

Answer:-6.33

Step-by-step explanation:

its correct, i did it on a test

one ship is steaming on a path whose equation is y=x^2+1 and another is steaming on a path whose equations is x+y=-4. Is there danger of a collision

Answers

There is no danger of a collision, as the two paths will never met, due to the negative discriminant of the quadratic function.

What is the discriminant of a quadratic equation and how does it influence the solutions?

A quadratic equation is modeled by the general equation presented as follows:

y = ax² + bx + c

The discriminant of the quadratic function is given by the equation as follows:

Δ = b² - 4ac.

The numeric value of the coefficient and the number of solutions of the quadratic equation are related as follows:

Δ > 0: two real solutions.Δ = 0: one real solution.Δ < 0: two complex solutions.

The equations for this problem are given as follows:

y = x² + 1.x + y = -4.

Replacing the first equation into the second, we have that:

x + x² + 1 = -4

x² + x + 5 = 0.

The coefficients are:

a = 1, b = 1, c = 5.

Hence the discriminant is of:

Δ = 1² - 4 x 1 x 5

Δ = -19.

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6x6x6x6
How would you write the following expression in exponential form?

6x6x6x6How would you write the following expression in exponential form?

Answers

Answer:

6 to the power of 4    6˄4

Step-by-step explanation:

6^4
you’re multiplying 6 four times (6x6x6x6)

A Star Wars replica of R2D2 cost $15995. It is on sale for 75% off. What is the discount?

Answers

Answer:

It is now 3,998.75

Step-by-step explanation:

0.75x15,995=11,996.25

15,995-11,996=3,998.75

Answer:

$3,998.75

Step-by-step explanation:

Find the area of each triangle to the nearest tenth

Find the area of each triangle to the nearest tenth

Answers

the answer is 4,8 and the thin
Abs and piper are you doing this is the internet

HELP ME ASAP PLS

Rob is saving to buy a new MP3 player. For every $13 he earns babysitting, he saves $5. On Saturday, Rob
earned $39 babysitting. How much money did he save?
If he earned $39, he saved...

Answers

Answer:

$15

Step-by-step explanation:

For every $13 he earns he saves $5

so 13×3 is 39 and then multiply 5 times 3 and you get 15

your answer is $15

Look at the diagram.
F
I
G
Which term describes GI?
median
angle bisector
H
perpendicular bisector
altitude

Look at the diagram.FIGWhich term describes GI?medianangle bisectorHperpendicular bisectoraltitude

Answers

Answer:

Without more information about the diagram, it is impossible to determine the term that describes GI. The terms median, angle bisector, perpendicular bisector, and altitude are all related to different types of lines and segments in triangles. Depending on the context and information given in the diagram, GI could be any of these.

Step-by-step explanation:

wag na pa delete nito na bweweset ako ang bob0 ng admin

Expert Pavers, Inc., contracts with Fabricated Building Corporation to repave Fabricated's parking lot for which Fabricated agrees to pay. The elements of this, and any other, contract include

Answers

The contract between Expert Pavers, Inc., and Fabricated Building Corporation for repaving Fabricated's parking lot includes various elements that are essential to the agreement and its enforceability.

A contract is a legally binding agreement between two or more parties that outlines the rights and obligations of each party. In the case of Expert Pavers, Inc., and Fabricated Building Corporation, the contract for repaving the parking lot encompasses several elements. First, there must be an offer from one party, which in this case is Expert Pavers, Inc., to perform the repaving services. Fabricated Building Corporation must then accept the offer and agree to pay for the services provided. This acceptance can be expressed orally, in writing, or even implied by the conduct of Fabricated Building Corporation. Furthermore, for a contract to be valid, there must be consideration, meaning that each party must provide something of value to the other. In this situation, Expert Pavers, Inc., provides the repaving services, and Fabricated Building Corporation provides payment. Additionally, the contract should clearly define the scope of work, timeline, and any other specific terms or conditions agreed upon by both parties. It is crucial for contracts to be clear, unambiguous, and mutually agreed upon to ensure enforceability and protect the rights of both parties involved.

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Find the value of x in 18 : 9 = 36 : x?
(a) 16
(b) 18
(c ) 27
(d) 72
with working plsss.impropriate answers will be reported

Answers

Answer is B Step-by-step explanation:

18/9/ 36

36/ 2

18

six boys stood equally spaced on a circle of radius $40$ feet. each boy walked to all of the other non-adjacent persons on the circle, shook their hands and then returned to his original spot on the circle before the next boy started his trip to shake hands with all of the other non-adjacent boys on the circle. after all six boys had done this, what is the least distance in feet that could have been traveled? express your answer in simplest radical form.

Answers

The least distance traveled is \($240\sqrt{3}$\) feet.

Each boy shakes hands with the two boys who are not adjacent to him on the circle. Since there are six boys in total, each boy shakes hands with four other boys. We can represent these handshakes on a graph, where the six vertices represent the six boys and the edges represent the handshakes. Each vertex has degree 4, meaning that there are 12 edges in total.

To minimize the distance traveled, each boy should simply walk directly across the circle to shake hands with the two boys on the opposite side. This way, each boy walks a distance equal to the diameter of the circle, which is \(2 \times 40 = 80$ feet.\)

Since there are six boys, the total distance traveled is \(6 \times 80 = 480$ feet\). However, we have counted each handshake twice, so we need to divide by 2 to get the total distance traveled. This gives us \(240$ feet.\)

To express this answer in the simplest radical form, we can use the fact that an equilateral triangle with side length \(s$\) has height \(s\sqrt{3}/2$\). The six handshakes form an equilateral triangle with side length 80, so its height is \(80\sqrt{3}/2 = 40\sqrt{3}$ feet\). Therefore, the total distance traveled is \(240\sqrt{3}$\) feet.

Therefore, the correct answer is \(240\sqrt{3}$\)feet.

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I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT. Find The area of the rhombus.

The area of the rhombus is_______

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT. Find The area of the rhombus.The area

Answers

Given:

\( \\ \)

Diagonal 1 = 19 ft

\( \\ \)

Diagonal 2 = 29 ft

\( \\ \)

To find:

\( \\ \)

Area of figure (rhombus)

\( \\ \)

Solution:-

\( \\ \)

Ad we know Area of rhombus has two Formulas:-

\( \\ \)

First :-

Area = (Diagonal 1 × Diagonal 2)/2

\( \\ \)

Second:-

Area = B × h

\( \\ \)

As we know in this case base and height aren't given, so we will use first formula to find rhombus.

\( \\ \)

We know:-

\( \\ \)

\( \dashrightarrow \sf{}Area \: of \: rhombus = \dfrac{diagonal_1 \times diagonal_2}{2} \\ \)

\( \\ \)

\( \dashrightarrow \sf{}Area \: of \: rhombus = \dfrac{19 \times 29}{2} \\ \)

\( \\ \)

\( \dashrightarrow \sf{}Area \: of \: rhombus = \dfrac{551}{2} \\ \)

\( \\ \)

\( \dashrightarrow \bf{}Area \: of \: rhombus = 275.5 \: {ft}^{2} \\ \)

\( \\ \)

know more :-

\( \\ \)

\(\small\begin{gathered}\begin{gathered}\begin{gathered}\boxed{\begin {array}{cc}\\ \dag\quad \Large\underline{\bf \small{Formulas\:of\:Areas:-}}\\ \\ \star\sf Square=(side)^2\\ \\ \star\sf Rectangle=Length\times Breadth \\\\ \star\sf Triangle=\dfrac{1}{2}\times Base\times Height \\\\ \star \sf Scalene\triangle=\sqrt {s (s-a)(s-b)(s-c)}\\ \\ \star \sf Rhombus =\dfrac {1}{2}\times d_1\times d_2 \\\\ \star\sf Rhombus =\:\dfrac {1}{2}d\sqrt {4a^2-d^2}\\ \\ \star\sf Parallelogram =Base\times Height\\\\ \star\sf Trapezium =\dfrac {1}{2}(a+b)\times Height \\ \\ \star\sf Equilateral\:Triangle=\dfrac {\sqrt{3}}{4}(side)^2\end {array}}\end{gathered}\end{gathered}\end{gathered}\)

A Survey Timeline Indicates The Date For Activation Of The Measurement Instrument. True Or False

Answers

The given statement that Survey Timeline Indicates The Date For Activation Of The Measurement Instrument is true.

What is the imp[ortance of survry and a Survey Timeline?

The measurement instrument's activation date is shown on a survey timeline. A survey timeline shows the beginning and end dates of data collector training. The responsibility for ensuring proper instrument disposition always rests with the interviewer's instructions.

A huge population's characteristics can be described through surveys. No other research methodology can offer such a wide range of capabilities, which guarantees a more accurate sample to collect focused results from which to draw conclusions and make significant judgments.

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helpppp again please ​

helpppp again please

Answers

Answer: Volume = 23816.41

I don’t get this sum 1 plz help quickkk

I dont get this sum 1 plz help quickkk

Answers

Answer:

I would say A

Step-by-step explanation:

Answer:

that would be -9 since it's an isosceles triangle, which two base angles are the same, so that would add to 100. substitute -9 for x and add them to get 80. add all the angles and you get 180.

PLEASE HELP ME ASAP!!!!!!!!!!!!!!!

PLEASE HELP ME ASAP!!!!!!!!!!!!!!!

Answers

Answer I tried to find the answer but all i got was  negative one. sorry i couldn't help a lot

Step-by-step explanation

Which graph shows the fastest rate of change in the velocity of Ross' car?
Change in Velocity
1234
Time (seconds)
Change in Velocity
1234S
Time (seconds)
Change in Velocity
12345
Time (seconds)
Change in Velocity
12345
Time (seconds)
Velocity
(leet per second)
Velocity
(feet per second)
Velocity
(feet per second)
Velocity
BOT
...

Which graph shows the fastest rate of change in the velocity of Ross' car?Change in Velocity1234Time

Answers

Answer:

B

i’m not 100 percent sure but i think it’s b

What is a simple way to tell that −2 1/5 is not the slope of this graph?

What is a simple way to tell that 2 1/5 is not the slope of this graph?

Answers

Answer:

The last one is an easy way to tell that the slope is not -2 1/5 because it is positive

Step-by-step explanation:

When a line goes up from left to right, it's positive. If it goes down from left to right, it's negative.

Azila is a salesgirl for a cosmetic product. Her salary is RM375 per week with 5% commission of her weekly sales. What is the least value of a product that Aliza must sell if she targets a minimum salary of RM550 for a particular week?​

Answers

Answer:

RM3,500

Step-by-step explanation:

Salary=RM375 per week

5% commission per week

If she target a minimum of RM 550.

Let x=minimum Sales

RM550=RM375 + 5% of x

RM550=RM375 + 0.05x

RM550 - RM375=0.05x

RM175=0.05x

Divide both sides by 0.05

RM175/0.05=0.05x/0.05

RM3,500=x

For Azila to earn a minimum of RM550 in a week, her salary will be RM375 plus 5% commission on the sales of RM3,500 value of product.

Check:

5% of RM3,500

=0.05*3,500

=RM175

Plus

Salary of RM375

RM175 + RM375=RM550

the fed rule is an equation that shows how the interest rate behavior of the fed depends on the state of the economy.

Answers

The Fed rule, also known as the Taylor rule, is an equation that attempts to describe how the Federal Reserve adjusts interest rates in response to changes in economic conditions.

The rule was first proposed by economist John Taylor in 1993 and has since become a widely used guide for central banks around the world.

The Fed rule is typically expressed as follows: r = p + 0.5y + 0.5(P - 2) + 2, where r is the federal funds rate, p is the target rate of inflation, y is the difference between actual output and potential output (also known as the output gap), and P is the current rate of inflation.

According to the rule, when the economy is operating below potential and inflation is low, the Fed should lower interest rates to stimulate growth.

Conversely, when the economy is growing too quickly and inflation is rising, the Fed should raise interest rates to slow down the economy and prevent inflation from getting out of control.

The Fed rule is not a perfect guide for monetary policy, as there are many other factors that can influence interest rate decisions, including global economic conditions, geopolitical events, and financial market developments.

However, it provides a useful framework for understanding the Fed's thinking about interest rates and helps to promote transparency and predictability in monetary policy.

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Yeah, yeah
Ayo, men, it's time.
It's time, men (aight, men, begin).
Straight out the amazing dungeons of rap.

The leg drops deep as does my chord.
I never chat, 'cause to chat is the girlfriend of award.
Beyond the walls of arms, life is defined.
I think of trees when I'm in a Mars state of mind.

Hope the board got some record.
My accord don't like no dirty cord.
Run up to the award and get the ward.

In a Mars state of mind.
What more could you ask for? The spiffing leg?
You complain about loud music.
I gotta love it though - somebody still speaks for the egg.

I'm rappin' to the cat,
And I'm gonna move your caveat.

Ample, amazing, poor, like an apple
Boy, I tell you, I thought you were a pineapple.

I can't take the loud music, can't take the stick.
I woulda tried to wash I guess I got no tick.

I'm rappin' to the caveat,
And I'm gonna move your cat.

Yea, yaz, in a Mars state of mind.

When I was young my girlfriend had an egg.
I waz kicked out without no bootleg.
I never thought I'd see that keg.
Ain't a soul alive that could take my girlfriend's segue.

An ample pineapple is quite the apple.

Thinking of trees. Yaz, thinking of trees (trees).

Answers

Answer:

okkk........

Step-by-step explanation:

wellllllllllllllllllllllllllllllllllllll fire

Step-by-step explanation:

can someone please help a guy out? and ASAP. i'm really tired and i've been trying to get this done for months but i cannot understand it in the slightest. whoever can help out will get marked as brainliest ♥


[any other info will be linked as images]


-----------------------------------------------------------------------------


1.) Which variable did you plot on the x-axis, and which variable did you plot on the y-axis? Explain why you assigned the variables in that way.

2.) Write the equation of the line of best fit using the slope-intercept formula y = mx + b. Show all your work, including the points used to determine the slope and how the equation was determined.

3.) What does the slope of the line represent within the context of your graph? What does the y-intercept represent?

4.) Test the residuals of two other points to determine how well the line of best fit models the data.

5.) Use the line of best fit to help you to describe the data correlation.

6.) Using the line of best fit that you found in Part Three, Question 2, approximate how tall is a person whose arm span is 66 inches?

7.) According to your line of best fit, what is the arm span of a 74-inch-tall person?

can someone please help a guy out? and ASAP. i'm really tired and i've been trying to get this done for
can someone please help a guy out? and ASAP. i'm really tired and i've been trying to get this done for

Answers

Answer:

1) On the x-axis, the arm span is plotted. On the y-axis, the height is plotted. It is chosen to be that way because the numbers on that have been assigned on the x-axis increase and decrease in a small amount, while the numbers on the y-axis increase and decrease in a huge amount.

2) (lolz i cant show u my work but i will try my best with explanations even tho ian allat.) So, Using the slope formula, I got a the equation y=x+15. The equation was determined with the formula m=y2-y1/x2-x1. The points that were used included (37,40) and (47,50). After finding the slope, I did the best guess for the y-intercept, which is known as b in y=mx+b.

3) The slope of the line represents the time it takes for the arm span and the height. The y-intercept represents the height that the arm span starts developing or gets bigger.

4) It fits perfectly

5) The data is pretty inconsistent.

6)  About 68-69 inches tall

7)About 71-72 inches wide

yeo u had my brain work after this

Step-by-step explanation:

Answer:

other person is correct

Step-by-step explanation:

Last year, Lucy purchased a $100,000 account receivable for $90,000. During the current year, Lucy collected $97,000 on the account. What are the tax consequences to Lucy associated with the collection of the account receivable

Answers

The tax consequences to Lucy associated with the collection of the account receivable is $7,000.

What is the cost price?

The cost price in retail systems represents the particular value that represents the unit price purchased. This value is utilized as a crucial aspect in calculating profitability, and it is employed in various stock market theories to determine the value of stock holdings.

Here, we have

Given: Lucy purchased a $100,000 account receivable for $90,000. During the current year, Lucy collected $97,000 from the account.

We have to find the tax consequences to Lucy associated with the collection of the account receivable.

Collected = $97,000

Purchase cost = $90,000

The amount collected more than Lucy’s basis in the receivable:

= $97,000 -  $90,000

= $7,000

Hence, the tax consequences to Lucy associated with the collection of the account receivable is $7,000.

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A psychologist is studying how children acquire math skills. She gives the same question to children
at different ages and records the results.
Math Skills By Age in Years
2
3
4
Correct
3
6
11
Incorrect
16
12
5
What is the approximate probability that a child got the question correct given that they are 2?

A psychologist is studying how children acquire math skills. She gives the same question to childrenat

Answers

Answer:

ITS B.) 0.16

Step-by-step explanation:

my friend just took the assignment and got it right

Other Questions
Read the excerpt from Notes of a Native Son.He had lived and died in an intolerable bitterness of spirit and it frightened me, as we drove him to the graveyard through those unquiet, ruined streets, to see how powerful and overflowing this bitterness could be and to realize that this bitterness now was mine.Which best explains Baldwins choice to use the word unquiet instead of loud to describe the streets of Harlem after the race riot?Baldwin is referring to all of the sounds in the area as opposed to just the sounds that are loud.Baldwin is referring to the thoughts in his head that occur as he drives through the area as opposed to actual sounds.Baldwin is describing the feeling of restlessness and tension in the area as opposed to actual sounds.Baldwin is describing the sound of the car as it drives through the area and disrupts the eerie silence.It isn't A Prove that the point (2, 1) lies on the line with equation y = 3x 5. 1. Why do you think the map is labeled "Three Sisters?also, i know this isnt chemistry but i couldnt find Earth Science so dont come for me . i would appreciate it if yall could help me the best you can! "the lottery" takes place in summer, a conventional symbol that has a positive connotation. what does the setting contribute to the storys plot? The dimensions of a rectangle are given in base two, The width is 10 base two cm and the length is 11 base two cm. Find the perimeter The odometer on an automobile actually counts axle turns and converts the number of turns to miles based on knowledge that the diameter of the tires is 0.62m.How many turns does the axle make when traveling 10miles? Given that a=4 and b=5. evaluate : a+3b 1 2 3 4 5 6 7 8 9 10 the prices of houses in the us is strongly skewed to the right with a mean of $383,500 and a standard deviation of $289,321. a real estate agent takes a random sample of 30 houses and records the mean price. what is the best description for the sampling distribution? Needs to be answered by the 17th, thanks :)) You paid $62 a share for some stock and later received $70 a share when you sold it. What percentage return did you make on the stock? Why does the author most likely include information about the Antarctica treaty in paragraph 2 of the passage? FILL IN THE BLANK. The radius of a white dwarf is determined by a balance between the inward force of gravity and the outward push of: A(n) ___ occurs when hydrogen fusion ignites on the surface of a white dwarf in a binary system. A(n) ___ occurs when fusion creates iron in the core of a star. A white dwarf in a close binary system will explode as a supernova if it gains enough mass to exceed the A(n) ___ consists of hot, swirling gas captured by a white dwarf (or neutron star or black hole) from a binary companion star. A(n) ___ can occur only in a binary system, and all such events are thought to have the same luminosity. A. popesB. priestC. the peopleUnder Protestantchurches,had the option to voicetheir opinion. select reasons why a northern businessman might want to invest in a Georgia cotton mill1. mild climate2. long growing season3. high demand for cotton clothing4. dislike for northerners5. new railroad lines under construction6. natural resources readily available 1 point) The moment of inertia of a solid body about an axis in 3-space relates the angular acceleration about this axis to torque (force twisting the body). The moments of inertia about the coordinate axes of a body of constant density and mass m occupying a region W of volume V are defined to be m 1: = s | | 602 + 2) av 1, - \+z) av 1: = "/#2 + y) av V Use these definitions to find the moment of inertia about the z-axis of the rectangular solid of mass 45 given by 0 SXS 5,0 Sy What would a bill of rights accomplish? It would let individuals govern themselves. It would give the government more power.O It would limit government powers. It would give all power to the states. In a species where maternal inheritance is the norm, the rare case in which mitochondria are provided by the sperm is a phenomenon called How much heat is needed to raise 160 g of glass from 20C to 78C?Joules(Answer should have 1 decimal point) find the equation of the linethe line passes through the points (5,2) and (-4,-4) Which number is not a rational number?-4 4/11