please help !!!!!!!!!!!1

For Question 22:
To calculate the Page Rank of node B after 2 iterations, we need to use the formula:
PR(x) = (1-d) + d(Σ PR(y)/O(y))
where PR(y) is the Page Rank of node y and O(y) is the number of outgoing links from node y.

After the first iteration, the Page Rank of each node is:
PR(A) = 0.16, PR(B) = 0.29, PR(C) = 0.26, PR(D) = 0.29

So, for node B:
PR(B) = (1-0.9) + 0.9((PR(A)/1) + (PR(C)/2) + (PR(D)/1))
= 0.1 + 0.9(0.16/1 + 0.26/2 + 0.29/1)
= 0.1 + 0.9(0.16 + 0.13 + 0.29)
= 0.1 + 0.9(0.58)
= 0.52

After the second iteration, we need to use the updated Page Rank values to calculate the new values. So, after the first iteration, the Page Rank of each node is:
PR(A) = 0.11, PR(B) = 0.52, PR(C) = 0.28, PR(D) = 0.29

So, for node B:
PR(B) = (1-0.9) + 0.9((PR(A)/1) + (PR(C)/2) + (PR(D)/1))
= 0.1 + 0.9(0.11/1 + 0.28/2 + 0.29/1)
= 0.1 + 0.9(0.11 + 0.14 + 0.29)
= 0.1 + 0.9(0.54)
= 0.55

Therefore, the Page Rank of node B after 2 iterations is 0.55.

For Question 23:
To calculate the authoritativeness and hubness scores for node A, we need to use the formulas:
a(x) = Σh(y) and h(x) = Σa(y)
where h(y) is the hubness score of node y and a(y) is the authoritativeness score of node y.

In the very beginning, all nodes have an equal score of 1. So, for node A:
a(A) = h(A) = 1

Therefore, the authoritativeness and hubness scores for node A in the very beginning are both 1.

For Question 24:
To calculate the hubness score of node D after 2 iterations, we need to use the formula:
h(x) = Σa(y)*z(y,x)
where a(y) is the authoritativeness score of node y and z(y,x) is 1 if there is a link from node y to node x, otherwise it is 0.

After the first iteration, the authoritativeness scores are:
a(A) = 0.11, a(B) = 0.52, a(C) = 0.28, a(D) = 0.09

And the hubness scores are:
h(A) = 0.11, h(B) = 0.28, h(C) = 0.52, h(D) = 0.09

So, for node D:
h(D) = (a(A)*z(A,D)) + (a(B)*z(B,D)) + (a(C)*z(C,D)) + (a(D)*z(D,D))
= (0.11*0) + (0.52*1) + (0.28*0) + (0.09*1)
= 0.61

After the second iteration, the updated authoritativeness scores are:
a(A) = 0.07, a(B) = 0.38, a(C) = 0.27, a(D) = 0.28

And the updated hubness scores are:
h(A) = 0.07, h(B) = 0.29, h(C) = 0.45, h(D) = 0.19

So, for node D:
h(D) = (a(A)*z(A,D)) + (a(B)*z(B,D)) + (a(C)*z(C,D)) + (a(D)*z(D,D))
= (0.07*0) + (0.38*1) + (0.27*0) + (0.28*1)
= 0.66

Therefore, the hubness score of node D after 2 iterations is 0.66.
Question 22:
For the Page Rank of node B after 2 iterations, we use the formula: PR(x) = (1-d) + d * Σ(PR(y)/O(y)), where d=0.9, and O(y) is the number of outgoing links from y.

Without knowing the specific network structure and initial Page Rank values, I cannot provide the exact Page Rank for node B after 2 iterations.

Question 23:
In the beginning, the authoritativeness (a) and hubness (h) scores for node A are initialized. Generally, they are initialized as 1 for each node.

So, for node A:
a(A) = 1
h(A) = 1

Question 24:
For the hubness score of node D after 2 iterations, we need to update the initial hubness score twice using the formula: h(x) = Σ(a(y)), where x has a link to y.

Similar to Question 22, without knowing the specific network structure and initial authoritativeness values, I cannot provide the exact hubness score for node D after 2 iterations.

Learn more about Graph Theory here: brainly.com/question/30340330

#SPJ11

An orthonormal basis for the orthogonal complement W of V is {(2/√5)(1, -1/2, 0, 0)}. The problem asks us to find an orthonormal basis for the orthogonal complement of a subspace in R₄.

We are given two vectors, v₁ and v₂, which span the subspace V. We need to find the orthogonal complement W of V and determine an orthonormal basis for W using the standard inner product in R₄.

To find the orthogonal complement of a subspace, we need to find all vectors in R₄ that are orthogonal to every vector in the subspace V. In this case, V is spanned by v₁ and v₂. We can find the orthogonal complement W of V by finding the null space of the matrix whose columns are v₁ and v₂.

Constructing the augmented matrix [v₁ | v₂] and performing row reduction, we find that the matrix reduces to [1 -1 2 3 | 0 0 0 0]. The solution to this system gives us the basis for W.

Solving the system of equations, we obtain the vector [1 -1/2 0 0]. Since W is the orthogonal complement of V, this vector is orthogonal to both v₁ and v₂. To obtain an orthonormal basis for W, we normalize the vector by dividing it by its length.

Normalizing the vector [1 -1/2 0 0], we find that its length is √(1 + (1/2)²) = √(5/4) = √5/2. Dividing the vector by its length, we get the normalized vector (2/√5)(1, -1/2, 0, 0).

Therefore, an orthonormal basis for the orthogonal complement W of V is {(2/√5)(1, -1/2, 0, 0)}.

To learn more about augmented matrix, click here:

brainly.com/question/30403694

#SPJ11

The area of kite ABCD is equal to half the product of the sum of its diagonals and the height between them.

Since kite ABCD is divided into two triangles by its diagonals, we can find the area of the kite by finding the sum of the areas of these two triangles.

Let AC and BD be the diagonals of the kite, intersecting at point E. Then triangle ABE and triangle CDE are the two triangles formed by the diagonals.

The area of a triangle can be found using the formula: Area = (base x height) / 2

For triangle ABE, the base is AB and the height is the distance from E to the line containing AB. Similarly, for triangle CDE, the base is CD and the height is the distance from E to the line containing CD.

Since the diagonals of a kite are perpendicular and bisect each other, the distance from E to the line containing AB is the same as the distance from E to the line containing CD.

Therefore, the heights of the two triangles are equal.

So, we can find the area of ABCD as follows:

Area of ABCD = Area of triangle ABE + Area of triangle CDE

= (AB x height)/2 + (CD x height)/2

= (AB + CD) x height / 2

Therefore, the area of kite ABCD is equal to half the product of the sum of its diagonals and the height between them.

Learn more about area of the kite

brainly.com/question/15640807

#SPJ11

Answer:

56cm²

Step-by-step explanation:

Because this is an irregular shape, you have to split it into two shapes and find the area of each one. Then you can add those two areas together to find the total area of the figure. There are many ways you can split it but the way I did it left me with the equation (12·3)+(4·5). Then all you have to do is multiply and add which will give you a total of 56cm².

Answer:

Brand A costs approximately $0.21 per ounce

Brand B costs approximately $0.18 per ounce

Step-by-step explanation:

the rate can be regarded as the change in one entity with respect to the other

From the question, we know brand A

$ 2.55 for 12 ounces of juice, to Know the cost of single once of the juice is

($ 2.55/12ounce)

=$ 0.2125

But the conversation rate for dollar to cent is (1 dollar = 100 cents)

Then to convert $ 0.2125 to cent, we can say

1 dollar = 100 cents

$ 0.2125 =X cent , if we cross multiply we have

= 21.25 cents

Which is approximately 21 cents.

From the question, Brand B cost $ 1.45 for 8 ounces of juice.

to Know the cost of single once of the juice is ( $ 1.45/8 ounce)

=$ 0.18125

We can convert to cent like we did above

1 dollar = 100 cents

$ 0.18125 =X cents, if we cross multiply, we have

= 18.125 cents

which is approximately: 18 cents

Therefore, the true statement about the unit rate are"Brand A costs approximately $0.21 per ounce

Brand B costs approximately $0.18 per ounce"

Answer:

Area = 1,344 cm²

Step-by-step explanation:

First, find the value of x and the numerical side length of all sides of the triangle before finding the area.

Thus:

Perimeter of a triangle = sum of all its side

Therefore,

(6x - 44) + (2x - 20) + (3x + 24) = 224

Solve for x

6x - 44 + 2x - 20 + 3x + 24 = 224

Add like terms

11x - 40 = 224

Add 40 to both sides

11x = 224 + 40

11x = 264

Divide both sides by 11

x = 24

Find the measurement of each side length by plugging in the value of x:

Hypotenuse = 6x - 44 = 6(24) - 44 = 100 cm

Height = 2x - 20 = 2(24) - 20 = 28 cm

Base = 3x + 24 = 3(24) + 24 = 96 cm

Find the area:

Area = ½×base×height

Plug in the values

= ½×96×28

Area = 1,344 cm²

Answer:

1.24

Step-by-step explanation:

start by multiplying each term by the LCM which is 5

then you ahead and simply the equation

The correct option is:D. 120This amount satisfies Roberto's requirement of leaving a tip of at least 15% but no more than 18% and includes the meal cost, tip, and taxes.

To determine the total amount that Roberto will pay, including the tip and taxes, we need to calculate the tip and add it to the pre-tax cost of the meal.

Given that the meal cost is $96.50 before the 7% tax is added, the tax amount can be calculated as follows:

Tax amount = 0.07 * $96.50 = $6.755 (rounded to two decimal places)

Next, let's calculate the minimum and maximum tip amounts based on Roberto's requirement of at least 15% but no more than 18% of the pre-tax cost of the meal:

Minimum tip amount = 0.15 * $96.50 = $14.48 (rounded to two decimal places)

Maximum tip amount = 0.18 * $96.50 = $17.37 (rounded to two decimal places)

Now, let's calculate the total amount including the tip and taxes:

Minimum total amount = $96.50 + $6.755 + $14.48 = $117.735 (rounded to two decimal places)

Maximum total amount = $96.50 + $6.755 + $17.37 = $120.625 (rounded to two decimal places)

Among the given options, the total amount of $117 is not possible since it falls below the minimum total amount. Therefore, the correct option is:

D. 120

This amount satisfies Roberto's requirement of leaving a tip of at least 15% but no more than 18% and includes the meal cost, tip, and taxes.

For more questions on Roberto's .

https://brainly.com/question/19313667

#SPJ8

Answer:

Radius of sphere is 3 units.

Step-by-step explanation:

Volume of sphere is given by \(4/3 \pi r^3\)

surface area of sphere is given by \(4 \pi r^2\)

where r is the radius of the sphere.

Given that

The number of cubic units in the volume of a sphere is equal to the number of square units in the surface area of the sphere.

we equate formula of Volume of sphere  and surface area of sphere

assuming r as the radius.

thus,

\(4/3 \pi r^3 = 4 \pi r^2\\\\4/3 \pi r^3/ 4 \pi r^2 = 1\\=>r/3 = 1\\=> r = 3\)

Thus, radius of sphere is 3 units.

Answer:

x = 0

Step-by-step explanation:

3(7x − 12) + 26 = 3x − 10

Distribute

21x - 36 +26 = 3x-10

21x -10 = 3x-10

Add 10 to each side

21x = 3x

Subtract 3x from each side

21x-3x = 0

18x =0

x =0

Answer:

yd^3

Step-by-step explanation:

Answer:

120yd^2

Step-by-step explanation:

A=BH

A= 15×8

A=120

symbol = yd^2

final answer= 120yd^2.

Answer:

148.9ft underwater

Step-by-step explanation:

Substract the ft the submarine dove minus the ft the submarine came up.

Ex. ft of dive-ft of coming up

Which would be 363.5-214.6=

148.9ft

There are some ways by which move the steps from sequence and series method like

Move the medium desk to the left peg. Move the small desk to the left peg. Move the large desk to the right peg. With the small disc to the middle peg. Move the middle desk to the right peg. With the small desk to the right peg.

According to the statement

we have to explain the moving steps to change the position of the given three disk from one peg to another.

So, for the solution of this problem

Firstly we know that the sequence and series

An itemized collection of elements in which repetitions of any sort are allowed is known as a sequence, whereas series is the sum of all elements.

we have to use the sequence and series method.

So, according to this method

Move the medium desk to the left peg. Move the small desk to the left peg. Move the large desk to the right peg. With the small disc to the middle peg. Move the middle desk to the right peg. With the small desk to the right peg.

So, there are some ways by which move the steps from sequence and series method like

Move the medium desk to the left peg. Move the small desk to the left peg. Move the large desk to the right peg. With the small disc to the middle peg. Move the middle desk to the right peg. With the small desk to the right peg.

Learn more about sequence and series method here

https://brainly.com/question/7882626

#SPJ1

Answer:

7) ∠EBD = 60°

87) ∠DBC = 72°

9) ∠EBC = 156°

10) ∠EBC = 138°

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

I believe at the point of (1,1)  there is a distinct sort of point where it looks like an edge or corner which means that it is not continuous.

Continuous means that there is no abrupt changes (google) and im sure you know this already (im just saying no offence to anyone's intelligence)

The given function is not continuous. The correct option is D.

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

A continuous function in mathematics is one that causes the value of the function to continuously vary as the input changes over time. This indicates that there aren't any discontinuities or sudden changes in value.

The point of (1,1)  there is a distinct sort of point where it looks like an edge or corner which means that it is not continuous. Continuous means that there are no abrupt changes.

It is shown in the graph that the function is reducing continuously at the point ( 1,-1) and after that, there is a sudden change in the function after that it becomes constant or parallel to the x-axis.

Because there is a sudden change in the function it will be termed a discontinuous function.

Hence, the function is not continuous, and the correct option is D.

To know more about continuous function follow

https://brainly.com/question/18102431

#SPJ5

The Fourier series of one period a(x) on \(-\pi\) to \(\pi\) is 23.096.

What is Fourier series ?

A fourier series is an expansion of a periodic function f(x) in terms of an infinite sum of sines and cosines. Fourier Series makes use of the orthogonality relationships of the sine and cosine functions. Expand the function f(x) = ex in the interval [ – π , π ] using Fourier series formula.

Have given,

a(x) on domain (\(-\pi ,\pi\))

Let ,

I = ∫\(\pi\) \(e^{x}\) dx

on integration

I = \([e^{x}]^{\pi }_{-\pi }\)

I = \(e^{\pi } - e^{-\pi }\)

I = 23.14 - 0.043

Thus, I = 23.096

The Fourier series of one period a(x) on \(-\pi\) to \(\pi\) is 23.096.

To learn more about Fourier series visit:

brainly.com/question/29672996

#SPJ4

Answer:

20 meters

Step-by-step explanation:

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

Answer:

\(10x - \frac{1}{x} = 3 \\ 10x = 3 + \frac{1}{x} \\ 10x = \frac{3x + 1}{x} \\ 10x \times x = 3x + 1 \\ 10 {x}^{2} = 3x + 1 \\ 10 {x}^{2} - 3x - 1 = 0 \\ 10 {x}^{2} - 5x + 2x - 1 = 0 \\ 5x(2x - 1) + 1(2x - 1) = 0 \\ (5x + 1)(2x - 1) = 0 \\ \\ 5x + 1 = 0 \\ 5x = - 1 \\ x = \frac{ - 1}{5} \\ \\ 2x - 1 = 0 \\ 2x = 1 \\ x = \frac{1}{2} \)

hope this helps you.

Have a nice day!

Approximately 6,570 tons of aluminum need to be recycled each year.

To calculate the number of tons of aluminum that need to be recycled each year, we can follow these steps:

Determine the number of soft drink cans consumed per person per year:

Since each person consumes one can every two days, they consume 365/2 = 182.5 cans per year.

Calculate the total number of cans consumed in the United States per year:

Multiply the number of cans consumed per person per year by the total population:

182.5 cans/year/person * 270 million people = 49,275 million cans/year.

Convert the weight of the cans to tons:

Since each can weighs 1/15 pound, we need to convert it to tons. There are 2000 pounds in a ton, so 1/15 pound is equivalent to (1/15) / 2000 = 0.00013333333333333333 tons.

Calculate the total weight of aluminum cans in tons:

Multiply the total number of cans by the weight of each can in tons:

49,275 million cans/year * 0.00013333333333333333 tons/can = 6,570 tons/year.

Therefore, approximately 6,570 tons of aluminum need to be recycled each year to account for the consumption of soft drink cans in the United States.

To more on Population:
https://brainly.com/question/29885712
#SPJ8

The value of cos E is \(\frac{24}{25}\). The correct option is A. \(\frac{24}{25}\)

From the question, we are to determine the value of cos E

From the given information, we have

\(sin \ D=\frac{24}{25}\)

By SOH CAH TOA

Opposite = 24

Hypotenuse = 25

Thus, considering the diagram

/EF/ = 24

and

/DE/ = 25

By SOH CAH TOA

\(cos \ E =\frac{/EF/}{/DE/}\)

∴ \(cos \ E =\frac{24}{25}\)

Hence, the value of cos E is \(\frac{24}{25}\). The correct option is A. \(\frac{24}{25}\)

Learn more on Trigonometry here: https://brainly.com/question/14337584

#SPJ1

Answer:

.72

Step-by-step explanation:

9 rounds up because 1-4 stay the same and 5-9 round up

Answer: 0.719 to the nearest hundredth is 0.72

Answer:

The answer is probably c

Step-by-step explanation:

its deducted by the x axis

Answer:

B

Step-by-step explanation:

The 95% confidence interval for the difference between the two population proportions is -0.022 < p₁ - p₂ < 0.222.

Given that,

In a survey, it was discovered that 68% of women and 78% of men preferred computer-assisted education to lectures, respectively. Each sample contained 100 people that were chosen at random.

We have to calculate the 95% confidence range for the difference between the two proportions.

We know that,

The 95% confidence interval for difference between two population proportions is given as follows :

\(((\bar p_{1} -\bar p_{2})\)±\(Z_{0.05/2}\sqrt{\frac{PQ}{n_{1} } +\frac{PQ}{n_{2} }} })\)

Here,

p₁ is 0.78

p₂ is 0.68

n₁ is 100

n₂ is 100

Z is 1.96

P is 0.73

Q is 0.27

So,

((0.78-0.68)±\(1.96\sqrt{\frac{(0.73)(0.27)}{100 } +\frac{(0.73)(0.27)}{100 }} })\)

(0.10±0.122)

(0.10-0.122,0.10+0.122)

(-0.022,0.222)

Therefore, The 95% confidence interval for the difference between the two population proportions is -0.022 < p₁ - p₂ < 0.222.

To learn more about interval visit: https://brainly.com/question/10850002

#SPJ4

Answer: 4.125

Step-by-step explanation: just divide it but 4 and thats how i got it

The p-value of the given hypothesis is; 0.9999

The formula for the z-score of proportions is;

z = (p^ - p)/√(p(1 - p)/n)

where;

p^ is sample proportion

p is population proportion

n is sample size

We are given;

p^ = 15% = 0.15

p = 20% = 0.2

n = 5000

Thus;

z = (0.15 - 0.2)/√(0.2(1 - 0.2)/5000)

z = -8.8388

From p-value from z-score calculator, we have;

P(Z < -8.8388) = 1 - 0.0001 = 0.9999

Read more about p-value at; https://brainly.com/question/4621112

#SPJ1

Answer:

  see attached

Step-by-step explanation:

The two inequalities you want to plot are ...

  x + y ≤ 75 . . . . . . . . the auditorium can hold no more than 75 people

  5x +7.5y ≥ 450 . . . a minimum of $450 revenue is needed to cover costs

__

These are probably most easily plotted by graphing their intercepts. The boundary line for the first inequality will have x- and y-intercepts of 75. Shading will be below the line.

The boundary line for the second inequality will have an x-intercept of 450/5 = 90, and a y-intercept of 450/7.5 = 60. Shading will be above the line.

On of the points in the potential solution area is shown in the attached graph:

  (x, y) = (25, 50) . . . . fills the theater, gives $500 revenue

The final value of 'z' is 0. The given code initializes 'z' as 0 and 'a' as 5. In the while loop, 'a' is decremented by 1 until it becomes 2. At that point, the 'continue' statement is executed, skipping the following line of code where 'z' would have been updated. Consequently, the value of 'z' remains unchanged at 0.

The code starts with initializing 'z' to 0 and 'a' to 5. The while loop is then executed as long as 'a' is greater than 0. Inside the loop, 'a' is decremented by 1 with the statement 'a = a - 1'. When 'a' becomes 2, the condition 'a == 2' is satisfied. In this case, the 'continue' statement is encountered, causing the execution to skip the remaining code within the loop and jump back to the loop condition.

As a result, the line of code that updates 'z' is never reached when 'a' is 2. Consequently, 'z' retains its initial value of 0 throughout the execution of the code. Hence, the ending value of 'z' is 0.

Learn more about code here:

https://brainly.com/question/30457923

#SPJ11

Using ratio and proportion, Louie is correct.

Ratio is defined as the relationship between two quantities. On the other hand, proportion is defined as the equality between two or more ratios.

From the given graph (see attached photo), the coordinates of Point F and Point G is (4, 8) and (-6, -7).

If the ratio of FP to PG is 4 to 1, then the ratio of the horizontal distance and vertical distance between the two endpoints is also 4 to 1.

FP : PG = 4 : 1

FP/PG = 4/1 = 4

x-coordinate of P

(4 - x)/(x - -6) = 4

(4 - x) = 4(x + 6)

4 - x = 4x + 24

-5x = 20

x = -4

y-coordinate of P

(8 - y)/(y - -7) = 4

(8 - y) = 4(y + 7)

8 - y = 4y + 28

-5y = 20

y = -4

Hence, the coordinates of Point P is (-4, -4).

Therefore, Louie is correct, while Nicky is mistaken probably while setting up the proportion and solving for the coordinates.

Learn more about ratio and proportion here: https://brainly.com/question/23431895

#SPJ4

Answer:

5 : 7

Step-by-step explanation:

groom's side: 40

bride's side: 56

ratio groom to bride = 40/56 = 20/28 = 10/14 = 5/7

Answer: 5 : 7