Q4// Evaluate the coefficient \( a, b \) from the below data using least square regression method, then compute the error of data.

The number line represents a discrete random variable. The reason for this is that the variable can only take on the values that are represented by the dots or points on the number line. These values cannot be broken down into smaller units or decimals.

A random variable is a variable that can take on different values, depending on the outcome of a random event.

A discrete random variable is a random variable that can only take on certain values.

A continuous random variable, on the other hand, can take on any value within a given range.

The given number line has dots or points that represent the possible values that the random variable can take on.

The dots or points on the number line suggest that the random variable is discrete.

Therefore, the number line represents a discrete random variable. The reason for this is that the variable can only take on the values that are represented by the dots or points on the number line. These values cannot be broken down into smaller units or decimals.

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The volume of the solid lying under the plane 8-2x-y is 32 cubic units.

To find the volume of the solid lying under the plane 8-2x-y, you need to use a triple integral.

To find the volume, you need to perform a triple integral over the region, integrating the function 8-2x-y with respect to x, y, and z. First, find the limits of integration for x, y, and z by determining the intersections of the plane with the coordinate axes. The intersections are (4,0,0), (0,8,0), and (0,0,8). Next, set up the triple integral as follows:

∭(8-2x-y)dzdydx, with x ranging from 0 to 4, y ranging from 0 to 8-2x, and z ranging from 0 to 8-2x-y.

Evaluate the integral with respect to z first, then y, and finally x. After evaluating, you will find that the volume of the solid is 32 cubic units.

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Because the sample statistic centers around a different value than the population parameter, the sample mean absolute deviation is a biased estimator of the population mean absolute deviation.

Reason Behind a Biased Estimator

The expected value (average) of all the sample absolute deviations must match the population absolute deviation in order for the absolute deviation to function as an unbiased estimator. It does not, however, which makes the values of sample mean absolute deviation behave as a  biased estimator.

Brief Description of Sample Mean Absolute Deviation

The average of the absolute deviations from a central point makes up the average absolute deviation of a data collection. It is a statistical summary of statistical variability or dispersion.

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Answer:

1 unit

......................................

Answer:

Step-by-step explanation:

By process of elimination we see that only D or E could be correct. Now to find the angle o, we must subtract

360- 150 - 150 = 60

Now we divide that between angle o and m and... we get 30!

The answer is... angle j is 150 and angle o is 30

Answer:

Step-by-step explanation:

By the Isosceles Triangle Theorem, if 2 sides of a triangle are congruent to each other, than the angles opposite those sides are also congruent. We see by the markings on the triangle that WX and WY are congruent. That means that angle Y (which is across from WX) and angle X (which is across from WY) are the same measure. We can set them equal to each other  because of this:

6y - 2 = 4x + 20

But we have a problem because we have 2 unknowns.

Let's try this out: the Triangle Angle-Sum Theorem says that all the angles of a triangle have to add together to equal 180. That means that

52 + 6y - 2 + 4x + 20 = 180.

But we STILL have a problem with those 2 unknowns. BUT...

If angle X and angle Y are the same, then we don't need both 6y - 2 AND 4x + 20.  We only need 1 of those multiplied by 2 because they're the same measure. Changing things up a bit to reflect that:

52 + 2(4x + 20) = 180 and

52 + 8x + 40 = 180 and

8x = 88 so

x = 11.

That means that

4(11) + 20 = 64 which is the measure of both angles X and Y.

Let's check:

64 + 64 + 52 better equal 180. And it does, so we're good.

The value of x is found this way:

4x + 20 = 64 and

4x = 44 so

x = 11 which we already knew. Now for y:

6y - 2 = 64 and

6y = 66 and

y = 11 also.

it took her 10 minutes to fix

Answer:

second option

Step-by-step explanation:

the side length of AB should be equal to XY as they are corresponding sidelengths

Answer:

BC=YZ

AB=XY

Step-by-step explanation:

Line BC is congruent to Line YZ

Line AB is congruent To line XY

Answer:

C) 240ma

Step-by-step explanation:

a) The maximum height is 28 feet, and it is reached after 1.25 seconds.

b) The ball lands after 2.57 seconds.

The height equation for this problem, in feet, will be:

h(t) = -16t² + 40t + 3

The maximum height is at the vertex, which happens at:

t = -40/(2*-16) = 1.25

Evaluating there we will get:

h(1.25) = -16*1.25² + 40*1.25 + 3

h(1.25) = 28ft

b) The ball will land when the height is zero, so we need to solve:

0 = -16t² + 40t + 3

Using the quadratic formula we get:

\(t = \frac{-40 \pm \sqrt{(-40)^2 - 4*-16*3} }{2*-16} \\t = \frac{-40 \pm 42.3 }{-32}\)

The positive solution is:

y = (-40 - 42.3)/-32 = 2.57 seconds.

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Answer:

x=3

y = -2

Step-by-step explanation:

2x+5y = -4

y = x-5

We want to use substitution

In the first equation, every time we see y, substitute x-5

2x + 5( x-5) = -4

Distribute

2x + 5x -25 = -4

Combine like terms

7x -25 = -4

Add 25 to each side

7x -25+25 = -5+25

7x = 21

Divide each side by 7

7x/7 = 21/7

x=3

Now we can find y

y = x-5

y = 3-5

y = -2

The answer is x = 3, y = -2 or (3, -2).

We are given that :

Let us substitute the 2nd equation's value of y in the 1st equation.

Now, substitute for x in the 2nd equation.

The surface area of a cylinder is given by the formula:

A = 2πrh + 2π\(r^{2}\)= 2*3.14*4.8*19.1= 575.504 square ft.

Surface area is the measure of the total area that the surface of an object occupies. It is the sum of all the areas of the individual faces or surfaces of the object. For example, if you have a cube, the surface area would be the sum of the areas of all six faces of the cube. The surface area is usually measured in square units, such as square meters, square centimeters, or square feet, depending on the system of measurement used. Surface area is an important concept in many fields of study, including mathematics, physics, chemistry, and engineering.

by the question.

The surfaces area of a cylinder is given by the formula:

\(A = 2πrh + 2πr^2\)

where r is the radius of the circular base of the cylinder, and h is the height of the cylinder.

If a=9.6ft and b=19.1ft, we need to determine the values of r and h before we can calculate the surface area.

Since the cylinder has a circular base, we know that the diameter of the base is equal to b, or 19.1ft. Therefore, the radius of the base is half the diameter, or:

r = b/2 = 19.1/2 = 9.55ft

we know that the radius of the cylinder is = diameter/2

= 9.6/2

= 4.8

The surfaces area of a cylinder= \(A = 2πrh + 2πr^2\)

A = 2πrh + 2π\(r^{2}\)= 2*3.14*4.8*19.1= 575.504 square ft.

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We have shown that for any two distinct points [x] and [y] in X/∼, there exist disjoint open sets in X/∼ that contain [x] and [y], respectively. This confirms that X/∼ is a Hausdorff space.

Yes, the provided proof is correct. It establishes that if X is a Hausdorff space, then the quotient space X/∼ obtained by identifying points according to an equivalence relation ∼ is also a Hausdorff space.

Proof: Suppose that X is a Hausdorff space, and let x and y be two distinct points in X/∼. We denote the equivalence class of x under the equivalence relation ∼ as [x]. Since x and y are distinct points, [x] and [y] are distinct sets, implying that x ∉ [y] or equivalently y ∉ [x].

As the quotient map π: X → X/∼ is surjective, there exist points x' and y' in X such that π(x') = [x] and π(y') = [y]. Thus, we have x' ∼ x and y' ∼ y.

Since X is a Hausdorff space, there exist disjoint open sets U and V in X such that x' ∈ U and y' ∈ V. Let W = U ∩ V. Then W is an open set in X containing both x' and y'. Consequently, [x] = π(x') ∈ π(U) and [y] = π(y') ∈ π(V) are disjoint open sets in X/∼.

Therefore, we have shown that for any two distinct points [x] and [y] in X/∼, there exist disjoint open sets in X/∼ that contain [x] and [y], respectively. This confirms that X/∼ is a Hausdorff space.

Q.E.D.

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Answer: 12

Step-by-step explanation:

\(\mathrm{The\:mode\:is\:the\:term\:in\:the\:data\:set\:that\:appears\:the\:most.}\)

\(\mathrm{If\:there\:is\:more\:than\:one\:term\:that\:appears\:the\:most,\:then\:there\:is\:no\:mode.}\)

\(\mathrm{Count\:the\:number\:of\:times\:each\:element\:appears\:in\:the\:list}\)

\(\begin{pmatrix}11&13&14&12\\ 1&2&2&3\end{pmatrix}\)

\(\mathrm{The\:most\:common\:element\:in\:the\:list\:is\:12}\)

Answer:

I'm sure It's 12

Step-by-step explanation:

To find the mode, order the numbers lowest to highest and see which number appears the most often.

11, 12, 12, 12, 13, 13, 14, 14

11=1

12=3 is the most common element

13=2

14=2

The value of y when x is 9 and the constant of proportionality(k) is 4 is 36.

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given, x and y vary directly and y is 44 when x is 11.

Let, y ∝ x.

y = kx.

44 = 11k.

k = 44/11.

k = 4.

Now x = 9.

y = 4×9.

y = 36.

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Answer:

the x-coordinate and y-coordinate change places.

Step-by-step explanation: so you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed). the line y = x is the point (y, x). the line y = -x is the point (-y, -x).

Answer:

DD

Step-by-step explanation:

Answer:

Step-by-step explanation:

1 5/8 = 13/8

so

5/8 + 8/8

10/8 + 3/8

i could go on forever but.

do ya want to impress ya teacher?

500/800 + 800/800

and

2/4 + 4/4

Answer:

I wanna say (x,y)→(-x,-y)

Step-by-step explanation:

Answer:

The value of n = 7

Step-by-step explanation:

=> 3n-4=17

=> 3n = 17+4

=> 3n = 21

=> n = 21/3

=> n = 7

Answer:

n=7

Step-by-step explanation:

1. Solve

3n-4=17

3n-4+4=17+4

3n=21

3n/3=21/3

n=7

2. Check

3x7-4=17

21-4=17

17=17

Correct!
3. Answer

n=7

Answer:

1) Center = A → centermost point of a circle.

2) Radius = AB, AC → distance from centre to any point on the surface of the circle.

3) Diameter = BC → longest chord; distance from 1 point of the circle to another which passes through the centre of the circle.

4) Chord = IH → distance from 1 point on the circle to another.

5) Tangent = GF → external line which passes through only 1 point of the circle.

6) Secant = DE → external line which passes through 2 points on the circle.

Hope it helps ⚜

Answer:

27

Step-by-step explanation:

Answer:   4

Step-by-step explanation:

Answer:

whats the question?

Step-by-step explanation:

Answer:

Angle 7 = 56 °

Step-by-step explanation:

Angles 8 and 7 = 180 degrees

To get the degree of angle 7 subtract 124 from 180

180 - 124 = 56 degrees

Angle 7 = 56 degrees

Answer:

-5x-19

Step-by-step explanation:

-(x-3) - 2(-3x-8)

-x+3 - 6x -16

-5x-19

Answer:

h = 4sqr(3)

Step-by-step explanation:

r = d/2

d =  8

r = 8/2

r = 4

a = 4

c = 8

b = h = ?

a^2 + h^2 = c^2

4^2 + h^2 = 8^2

16 + h^2 = 64

h^2 = 64 - 16

h^2 = 48

sqrt(h^2) = sqrt(16*3)

h = 4 sqrt3)

Answer:

48

Step-by-step explanation:

Answer:

x + 3

Step-by-step explanation:

x - 117 + 120

= x + ( 120 - 117 )

= x + 3

Answer:

4:12

Step-by-step explanation:

To get from 3 to 9 you multiply 3 by 3. Do the same with the rest. 4 times 3 equals 12.