If G = (V, E) is a simple graph (no loops or multi-edges) with |V] = n > 3 vertices, and each pair of vertices a, b eV with a, b distinct and non-adjacent satisfies deg(a) + deg(b) >n, then G has a Hamilton cycle. (a) Using this fact, or otherwise, prove or disprove: Every connected undirected graph having degree sequence 2, 2, 4, 4, 6 has a Hamilton cycle. (b) The statement: Every connected undirected graph having degree sequence 2, 2, 4, 4,6 has a Hamilton cycle is A. True B. False.

Answers

Answer 1

The statement "Every connected undirected graph having degree sequence 2, 2, 4, 4, 6 has a Hamilton cycle" is false.

How to find that a connected undirected graph with degree sequence 2, 2, 4, 4, 6 always has a Hamilton cycle, is it true or not?

The statement "Every connected undirected graph having degree sequence 2, 2, 4, 4, 6 has a Hamilton cycle" is false.

To determine if a graph has a Hamilton cycle, we need to analyze the given degree sequence and the connectivity of the graph.

In this case, the degree sequence 2, 2, 4, 4, 6 implies that there are five vertices in the graph, each having a specific number of edges connected to them.

However, the degree sequence alone does not guarantee the existence of a Hamilton cycle.

To disprove the statement, we can provide a counterexample by constructing a connected undirected graph with the given degree sequence (2, 2, 4, 4, 6) that does not have a Hamilton cycle.

By carefully arranging the edges between the vertices, it is possible to create a graph where a Hamilton cycle cannot be formed.

Therefore, the statement claiming that every connected undirected graph with degree sequence 2, 2, 4, 4, 6 has a Hamilton cycle is false.

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Related Questions

what can be said about the situation in a cohort study reporting an adjusted risk ratio of 2.5, with a 95% confidence interval of (0.8. 3.8)

Answers

The most appropriate answer would be option a) "Confounding is likely to be a problem in the interpretation of these results."

Now, let's consider the 95% confidence interval (CI) provided as (0.8, 3.8). A confidence interval is a range of values within which the true population parameter (in this case, the risk ratio) is likely to fall. The lower and upper bounds of the confidence interval in this case are 0.8 and 3.8, respectively.

Confounding refers to the presence of an extraneous factor that is associated with both the exposure and the outcome and can distort the observed association.

In this situation, since the confidence interval includes the null value of 1 (i.e., 1 is within the range), it suggests that the observed association may not be statistically significant.

A statistically significant result means that the observed association is unlikely to have occurred due to chance alone.

Therefore, option a) "Confounding is likely to be a problem in the interpretation of these results" is a reasonable conclusion.

Hence the correct option is (a).

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Complete Question:

What can be said about the situation in a cohort study reporting an adjusted risk ratio of 2.5, with a 95% confidence interval of (0.8, 3.8)

a) Confounding is likely to be a problem in the interpretation of these results,

b) This estimate had a P value that was at or below 0.05.

c) There is a clear and strong association between the exposure and the health outcome understudy.

d) None of the above.

In interval estimation, as the sample size becomes larger, the interval estimate.

Answers

The interval estimate becomes narrower.

An interval estimate is the use of sample data to calculate an interval of possible (or probable) values ​​of an unknown population parameter, as opposed to a point estimate, which is a single number.

Estimation is a method of drawing conclusions about an unknown population parameter from a sample. An estimate is a statistic that is used to calculate the value of a parameter that is not defined. Intervals are statistical estimation approaches that use survey data to generate ranges of values ​​that are likely to contain the population value of interest. Point estimates, on the other hand, are single-valued estimates of the population value. Confidence intervals are the most familiar of the various forms of statistical intervals. Certain types of analysis and scenarios, on the other hand, require the use of different scopes that provide different details.

Hence in interval estimation, as the sample size becomes larger, the interval estimate becomes narrower.

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a poll shows that of all voters approve of the mayor's work. on three separate occasions a pollster selects a voter at random. what is the probability that on exactly one of these three occasions the voter approves of the mayor's work?

Answers

The probability that on exactly 3 of these occasions the voters approve the Mayor's work is 0.089 .

Given that 70% of all voters approve of the mayor's work, then 30% of all voters disapprove of the mayor's work

The number of successes in a large number of observations n drawn under replacement from a single population of size n is frequently simulated using the binomial distribution.

Drawings are not independent if sampling is done without replacement, hence a hypergeometric model rather than a binomial one is used as the generative model. Nevertheless, for N far bigger than n, the binomial distribution is still a reliable approximation and is frequently utilised.

using binomial distribution formula

\(^nCx\cdot P^x \cdot(1-P)^{n-x}\)

we find the number of ways only 1 person approves (nCx) of the mayor multiplied by the probability 1 person approves(\(P^x\)) and 2 people disapprove \((1-P)^{n-x}\).

Now we will use this binomial distribution to calculate the required probability.

Hence the number of ways only 1 person approve, x = 1

= \(^3C1\cdot (0.7)^1 \cdot(1-0.7)^{3-1}\\\)

= 0.089

Hence the required probability is 0.089

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in how many ways can a committee of three men and four women be formed from a group of 11 men and 11 women?

Answers

There are 54,450 ways to form a committee of three men and four women from a group of 11 men and 11 women.

To form a committee of three men and four women from a group of 11 men and 11 women, you can use the combination formula.

The formula for the number of ways to choose k items from a group of n items is: (n choose k) = n!/(k!(n-k)!)

We can use this formula to calculate the number of ways to choose 3 men and 4 women from the group of 11 men and 11 women.

(11 choose 3) * (11 choose 4) = 165 * 330 = 54,450

Thus, there are 54,450 total ways to form a committee of three men and four women from a group of 11 men and 11 women.

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in how many ways can a committee of three men and four women be formed from a group of 11 men and 11

The amount in Bethany’s savings account increases from $250 to $300 in one month. If the percent increase is the same each month, how much will be in bethany’s account after 3 months? *Hint: Use table to organize your calculations if needed.

Answers

Answer:

547

Step-by-step explanation:

I coculated it with a coculator

Teachers asking me this rn I need help plz ASAP ASAP ASAP !!!

Teachers asking me this rn I need help plz ASAP ASAP ASAP !!!

Answers

6-3 = 3

3+5 = 8

8 - 1³ = 7

UR ANSWER IS 7

hope it helps you ♥️

Answer:

Newton's second law is the real law of motion and the other two laws can be deduced from 2nd law.

The function (x, y) + (x - 3, y+5) is used to translate quadrilateral ABCD.The vertices of the quadrilateral are A(5,2), B(3,-1), C(-4,-2), andD(-1,6). Determine the distance the quadrilateral is translated.

The function (x, y) + (x - 3, y+5) is used to translate quadrilateral ABCD.The vertices of the quadrilateral

Answers

The distance between any two points (x1,y1) and (x2,y2) can be determined by sqrt((x2-x1)^2+(y2-y1)^2)

In this case, any vertex is translated 3 units to left, on x coordinate, and 5 units up, on y coordinate.

Therefore, the distance the quadrilateral is translated is: sqrt((-3)^2+5^2) = sqrt(34) = 5.83 units.

PLEASE ANSWER THE QUESTION CORRECTLY!!!!!!!!!!!!

PLEASE ANSWER THE QUESTION CORRECTLY!!!!!!!!!!!!

Answers

Answer: -2,2

Step-by-step explanation:

please help for 20 points !!

please help for 20 points !!

Answers

The \(4\frac{3}{8}-2\frac{1}{8}\) \(=2\frac{1}{8}\) This is the correct way to solve the equation it.

What sort of equation would that be?

The meaning of an equations in algebra is a logical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

Does equation imply issue?

When we say we're "solving" an equation, we truly mean we're "solving" the issue or "answering" the question since, in most circumstances, a formula reflects a problem (or query) of some type. A mathematical phrase with two equal sides and an equal sign is called an equation.

Given,

\(4\frac{3}{8}-2\frac{1}{8}\)

\(=2\frac{1}{8}\)

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Use the formula D= RT to solve the problem. Mrs. Warren traveled 1,069 miles from Vian, OK to Raleigh NC at an average rate of 65 mph. Approximately how many hours was she driving? Solve this equation. 1,069 = 65T

A. 14 hours
B. 16 hours
C. 18 hours
D. 20 hours

Answers

the answer is C!!!!!!!!!!!!!!!!!!

In a hypothesis test for population proportion, you calculated the p-value is 0.01 for the test statistic, which is a correct statement of the p-value?Group of answer choicesa)The p-value indicates that it is very rare to observe a test statistics equally or more extreme when the null hypothesis is true.b)The p-value indicates that it is very likely to observe a test statistics equally or more extreme when the null hypothesis is true.c)The p-value is calculated assuming the alternative is true.

Answers

a) The p-value indicates that it is very rare to observe a test statistics equally or more extreme when the null hypothesis is true.

What is null hypothesis?

A null hypothesis is a claim or presumption that there is no association between two observed variables or that observed differences between groups are the result of chance. It is frequently employed in statistical testing, and it is represented by the symbol "H0". The null hypothesis is often the inverse of the alternative hypothesis, which posits a link or difference between the variables. To reject the null hypothesis, the observed data must be statistically significant and unlikely to have occurred by chance. In scientific research, the null hypothesis is crucial because it enables researchers to assess the significance of their data and reach reliable conclusions.

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An ice machine makes 1 pounds of ice every hour. Which graph shows this
proportional relationship?
Pounds of Ice
s of Ice
6
54321
Total Ice Made
0 1 2 3 4 5 6
Number of Hours
6
Total Ice Made
Pounds of Ice
of Ice
65432
Total Ice Made
0 1 2 3 4 5 6
Number of Hours
65
Total Ice Made

Answers

The graph that represents the situation is required.

What is graph?

A graph is a structure that resembles a set of items in discrete mathematics, more especially in graph theory, in which certain pairs of the objects are conceptually "connected." The items are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.

Graphs are a popular tool for graphically illuminating data connections. A graph serves the objective of presenting facts that are either too many or complex to be fully expressed in the text while taking up less room.

Here the  X- axis denotes the number of hours and

Y- axis denotes the pounds of ice.

The given ordered pair is

\(\left(\frac{1}{2}, 1 \frac{1}{2}\right)=(0.5,1.5)\)

At zero hours the ice produced will be zero so, the third and fourth options are incorrect.

The only graph where the line passes through (0.5,1.5).

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How can someone's knowledge of math be applied to be more successful life?

Answers

1. Learning math is good for your brain
2. Math helps you tell time
3. Math helps you with your finances
4. Math makes you a better cook (or baker)
5. Math helps us have better problem-solving skills
6. Practically every career uses math in some way.
7. Math is all around us and helps us understand the world better
8. Math can help you shop for a good sale
9. Math is a universal language

Which is the larger value below?
A) 9.54 x 10-3
B) 6.54 x 10-4

Answers

Answer:

A

Step-by-step explanation:

a

10-3=7 , so,

9.54 * 7 = 92.4

b

10-4=6

6.54*10 = 61.4

Answer:

A

Step-by-step explanation:

because you need to do Multiplication after subtraction

If the diameter of a circle is 8. 4 in. , find the area and the circumference of the circle. Use 3. 14 for pi. Round your answers to the nearest hundredth

Answers

The circumference of the circle is 26.38 inches and the area of the circle is 55.39 square inches, both rounded to the nearest hundredth.

The diameter of a circle is the distance across the circle passing through its center. In this problem, the diameter of the circle is given as 8.4 inches. We can use the formula for the circumference and the area of a circle in terms of its diameter to find the solutions.

First, we can find the radius of the circle by dividing the diameter by 2. So, the radius is 8.4/2 = 4.2 inches.

To find the circumference of the circle, we can use the formula:

C = πd

where d is the diameter. Substituting the value of d = 8.4 inches and π = 3.14, we get:

C = 3.14 x 8.4 = 26.376

Therefore, the circumference of the circle is 26.38 inches (rounded to the nearest hundredth).

To find the area of the circle, we can use the formula:

A = πr²

where r is the radius. Substituting the value of r = 4.2 inches and π = 3.14, we get:

A = 3.14 x (4.2)² = 55.3896

Therefore, the area of the circle is 55.39 square inches (rounded to the nearest hundredth).

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HELP ASAP PLEASE
Which of the following properties could you use to solve 3/4t < 4 for t in one step? Select all that apply.

subtraction property of inequality
addition property of inequality
division property of inequality
multiplication property of inequality

Answers

Answer: t = 1.33333

Step-by-step explanation:

Answer: division property of inequality

Step-by-step explanation:

you would devide 3 by 4 which is 0.75 then add you varible. Thats 0.75t  that means that 0.75t  is less than 4

what is the solution of y=-2x+4

Answers

Answer:

2x+4=y

Step-by-step explanation:

Y equals 2*x+4/2x+4 so you figure out what x equals the multiply it by 2, then add 4 and the number you get is how much y is.

If you didnt understand I am very sorry. I am trying my best to explain.

1.what is the value of X

2. What is the value of the angle represented by(2x-10)?

1.what is the value of X2. What is the value of the angle represented by(2x-10)?

Answers

Answer:

2x - 10=65-x

2x+x=65+10

3x=75

x=75/3

x=25 (1.)

2x - 10

2*25-10

50-10

40 (2.)

Solve please I really need this answer so if you k ow it please solve it thank u

Solve please I really need this answer so if you k ow it please solve it thank u

Answers

Answer:

E

Step-by-step explanation:

2/3 times 1/2 is equal to 1/3 and 1/3 times 1/2 is equal to 1/6 yea I'm pretty smart

E. You just multiply the fractions inside the paranthesis times 1\2. 2/3 Times 1/2=1/3. 1/3 X 1/2 = 1/6

Which of the following represents the parameterization of a circle of radius r in the xy-plane, centered at (a,b), and traversed once in a clockwise fashion

Answers

The parameterization of a circle of radius r in the xy-plane, centered at (a, b), and traversed once in a clockwise fashion can be represented by the following equations:

\(\[ x = a + r \cos(t) \]\[ y = b - r \sin(t) \]\)

where:

- (a, b) represents the center of the circle,

- r represents the radius of the circle,

- t represents the parameter that ranges from 0 to 2π (or 0 to 360 degrees) to traverse the circle once in a clockwise fashion.

In the equation for x, the cosine function is used to determine the x-coordinate of points on the circle based on the angle t. Adding the center's x-coordinate, a, gives the correct position of the points on the circle in the x-axis.

In the equation for y, the sine function is used to determine the y-coordinate of points on the circle based on the angle t. Subtracting the center's y-coordinate, b, ensures that the points are correctly positioned on the y-axis.

Together, these equations form a parameterization that represents a circle of radius r, centered at (a, b), and traversed once in a clockwise fashion.

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cory ships two paperback books. one weighs 3/8 pound and the other weighs 3/4 pound. which weight is greater than 1/2 pound?

Answers

The book that weighs 3/4 pounds is greater than 1/2 pounds.

To compare the weights of the two books with 1/2 pound, we need to convert 1/2 pound into a fraction with a common denominator as the given weights. The common denominator of 8 and 4 is 8. So, we can convert 1/2 pound to 4/8 pound.

Now we can compare the weights of the two books with 4/8 pounds. The weight of the first book is 3/8 pounds, which is less than 4/8 pounds. The weight of the second book is 3/4 pounds, which is greater than 4/8 pounds.

Therefore, the book that weighs 3/4 pounds is greater than 1/2 pound.

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HELP ASAP! Will name brainliest!

HELP ASAP! Will name brainliest!

Answers

Answer:

The answer to your question is given in the attached photo.

Step-by-step explanation:

To determine the answer to the question,

First, we shall determine the value 3A.

This is obtained by multiplying matrix A by 3 as shown in the attached photo.

Next, we shall carry out the operation 3A – B as shown in the attached photo.

HELP ASAP! Will name brainliest!

A car coasts 62.2 meters along a hill that makes a 28.3° angle with the ground. if the car's mass is 1234 kg, then what is the change in potential energy?

Answers

The change in potential energy of the car coasts along the hill will be 662,292.459 Joule.

We have,

Length of coasts along the hill = 62.2 meters,

And,

The angle car make with the ground = 28.3°,

And,

The mass of the car = 1234 kg,

Now,

We know,

From the Work Energy Theorem that,

The change in Potential energy = The work done on the mass.

And,

Work done i.e. W = F × s × CosΘ

Here,

F = Force,

s = Distance car cover,

And,

Θ = Angle car make with the ground,

And,

We know that,

Force i.e. F = mass × acceleration due to gravity = m × g

And,

g= Acceleration of gravity = 9.8 m/s²

So,

Now,

Putting values,

i.e.

F = 1234 × 9.8 = 12093.2 Newton

Now,

Using the Formula of Work done,

i.e.

W = F × s × CosΘ,

Putting values,

i.e.

W = 12093.2 × 62.2 × Cos(28.3°)

On solving we get,

W = 662,292.459 Joule

So,

Chane in potential energy = 662,292.459 Joule

Hence we can say that the change in potential energy of the car coasts along the hill will be 662,292.459 Joule.

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Yummy Cookies just opened a brand new cookie bakery. The baker wants to increase the number of cookies he makes and sells each month. So far, the carrot cake cookie has been the best seller. In January, the baker made 14 of these cookies. In February, the baker doubled the January order, and took 5 cookies home to his family. The baker left the rest of the carrot cake cookies at the bakery to be sold. Every cookie left at the bakery sold. If this pattern continues, how many cookies will the baker sell in March and April?

Answers

Answer:

Number of cookies sold in March= 46

Number of cookies sold in April= 92

Step-by-step explanation:

Number of cookies made in Feb= 2×14= 28

Number of cookies sold in Feb= 28-5= 23

Number of cookies sold in March= 2× number of cookies sold in Feb

Number of cookies sold in March= 2× 23= 46

Number of cookies sold in April= 46×2= 92

32 workers can complete a work in 30 days working 6 hours per day. How many days are required to complete the
same work by 16 workers working 8 hours per day?

Answers

Answer:

45 days

Step-by-step explanation:

Total man hours:

32*30*6 = 5760

Required days:

5760/(16*8) = 45

please help asap!!!!

please help asap!!!!

Answers

Answer:

142 cm

Step-by-step explanation:

7*5 + 7*5 + 3*5 + 3*5 + 7*3 + 7*3

=> 35 + 35 + 15 + 15 + 21 + 21

=> 70 + 30 + 42

=> 100 + 42

=> 142

solve, correct people get brainliest

solve, correct people get brainliest

Answers

Solution:

Note that:

5t - 8 + 68 = 180

Use the equation above to solve for t.

5t - 8 + 68 = 180=> 5t + 60 = 180=> 5t = 180 - 60=> 5t = 120=> t = 120/5 = 24

The value of t is 24.

Answer:

t=24

Step-by-step explanation:

180=68+5t-8

180=60+5t

180-60=60-60+5t

120=5t

120/5=5t/5

24=t

Tensor decompositions for learning latent variable models A Anandkumar, R Ge, D Hsu, SM Kakade, M Telgarsky arXiv preprint arXiv:1210.7559 64, 70-72

Answers

The paper you mentioned, "Tensor decompositions for learning latent variable models" by A. Anandkumar, R. Ge, D. Hsu, SM. Kakade, and M. Telgarsky, is available as an arXiv preprint with the identifier arXiv:1210.7559.

In this paper, the authors explore the use of tensor decompositions for learning latent variable models. Tensor decompositions are mathematical techniques that can be used to analyze and extract meaningful information from high-dimensional data.

The authors propose a method that combines tensor decompositions with probabilistic graphical models to learn latent variable models. Latent variable models are statistical models that can capture hidden structures or factors in the data.

By leveraging tensor decompositions, the authors aim to provide a principled and efficient approach for learning latent variable models. The paper likely presents theoretical results, algorithms, and experimental evaluations to support their approach.

If you are interested in learning more about this topic, I recommend reading the paper in detail. It should provide a comprehensive explanation of the proposed method and its applications in learning latent variable models.

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Need the answer for the function as stated in the photo

Need the answer for the function as stated in the photo

Answers

The average rate of change of \(f\) over an interval \([a,b]\) is the difference quotient

\(\dfrac{f(b) - f(a)}{b - a}\)

Over the interval \(3\le x\le5\), we have

\(\dfrac{f(5) - f(3)}{5 - 3} = \dfrac{27 - 3}{5 - 3} = \dfrac{24}2 = \boxed{12}\)

Nayeli is proofreading a 757575 page manuscript. Filémon is line editing a 404040 page manuscript. Since proofreading is faster, Nayeli completes 111111 pages an hour, but Filémon only completes 444 pages an hour. When Nayeli and Filémon have the same number of pages left, how many pages will that be? pages

Answers

Answer: 20

Step-by-step explanation:

I did it on Khan

The required pages left are 20 pages after 5 hours.

Given that,
Nayeli is proofreading a 75-page manuscript. Filémon is line editing a 40-page manuscript. Since proofreading is faster, Nayeli completes 11 pages an hour, but Filémon only completes 4 pages an hour. When Nayeli and Filémon have the same number of pages left, how many pages will that be is to be determined.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
According to the question,
Let the time be x,
75 - 11x = 40 - 4x
35 = 7x
x = 5

Now,
Number of pages = 40 - 4x = 40 - 20 = 20

Thus, the required pages left are 20 pages after 5 hours.

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