Usually, Djikstra’s shortest-path algorithm is not used on graphs with negative-weight edges because it may fail and give us an incorrect answer. However, sometimes Djikstra’s will give us the correct answer even if the graph has negative edges.
You are given graph G with at least one negative edge, and a source s. Write an algorithm that tests whether Djikstra’s algorithm will give the correct shortest paths from s. If it does, return the shortest paths. If not, return ‘no.’ The time complexity should not be longer than that of Djiksta’s algorithm itself, which is Θ(|E| + |V | log |V |).
(Hint: First, use Djikstra’s algorithm to come up with candidate paths. Then, write an algorithm to verify whether they are in fact the shortest paths from s.)

Cincinnati Paint Company sells quality brands of paints through hardware stores throughout the United States. The company maintains a large sales force who call on existing customers and look for new business. The national sales manager is investigating the relationship between the number of sales calls made and the miles driven by the sales representative. Also, do the sales representatives who drive the most miles and make the most calls necessarily earn the most in sales commissions? To investigate, the vice president of sales selected a sample of 25 sales representatives and determined:

• The amount earned in commissions last month (y)
• The number of miles driven last month (x₁)
• The number of sales calls made last month (x₂)

The information is reported below.

  Click here for the Excel Data File

Develop a regression equation including an interaction term. (Negative amount should be indicated by a minus sign. Round your answers to 3 decimal places.)

Complete the following table. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.)

Compute the value of the test statistic corresponding to the interaction term. (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)

At the 0.05 significance level is there a significant interaction between the number of sales calls and the miles driven?

Cincinnati Paint Company sells quality brands of paints through hardware stores throughout the United States. The company maintains a large sales force who call on existing customers and look for new business. The national sales manager is investigating the relationship between the number of sales calls made and the miles driven by the sales representative. Also, do the sales representatives who drive the most miles and make the most calls necessarily earn the most in sales commissions? To investigate, the vice president of sales selected a sample of 25 sales representatives and determined:

• The amount earned in commissions last month (y)
• The number of miles driven last month (x₁)
• The number of sales calls made last month (x₂)

The information is reported below.

Develop a regression equation including an interaction term. (Negative amount should be indicated by a minus sign. Round your answers to 3 decimal places.)

Comissions= ______+_______ calls +__________ Miles +__________

Complete the following table. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.)

Compute the value of the test statistic corresponding to the interaction term. (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)

This question is more complicated than it seems. You would think that with more time, more leisure, and more luxuries, that compared to our ancestors, we would have more time. In ancient societies like among those in the Roman Empire, leisure time was generated because the slave class did their work. Even a few generations ago, your great-grandma scrubbed clothes on a scrubbing board, cooked on a coal or wood burning stove. Now, we are able to push washing machine buttons, use microwaves, and even have food delivered to us in minutes. So, you would think we would have more time to do what we want? But do we? It seems unlikely.

Philosopher Peter Kreeft of Boston College contends that "we want to complexity our lives. We don't have to, but we want to. We want to be harried, hassled, and busy. Unconsciously, we want the very thing we complain about. For if we had leisure, we would look at ourselves and listen to our hearts and see the gaping hole in our hearts and be terrified, because that hole is so big that nothing but God can fill it."

Kreeft claims:

"So run around like conscientious little bugs, scare rabbits, dancing attendance on our machines, our slaves, and making them our masters. We think we want peace and silence and freedom and leisure, but deep down we know that this is unendurable to us, like a dark empty room without distraction where we would be forced to confront ourselves, the one person...whom we fear the most, yet need the most, and the only person...whom we are constantly trying to escape, yet the only person who we can never escape, to all eternity."

Kreeft continues, "If you are typically modern, your life is like a rich mansion with a terrifying hole right in the middle of the living-room floor. So you paper over the hole with a very busy wallpaper pattern to distract yourself. You find a rhinoceros in the middle of your house. The rhinoceros is wretchedness and death. How in the world can you hid a rhinoceros? Easy: cover it with a million mice. Multiply diversions."

Pascal puts it this way:

"If our condition were truly happy we should not need to divert ourselves from thinking about it."

That is why Pascal famously stated:

“All of humanity's problems stem from man's inability to sit quietly in a room alone.”

Kreeft goes on to say:

"Therefore the society or individual which has the most diversions and amusements is not the happiest but the unhappiest. Therefore our society is the unhappiest. All the social indicators bear out this conclusion: depression, divorce, suicide, drugs, violence--you name it. The point is simple: we never want to divert ourselves from happiness, only from unhappiness. If life felt like a holiday, we would not want holidays from it.

Later, Pascal puts it this way:

All our life passes in this way: we seek rest by struggling against certain obstacles, and once they are overcome, rest proves intolerable because of the boredom it produces. We must get away from it and crave excitement....Man is so unhappy that he would be bored even if he had no cause for boredom, by the very nature of his temperament, and he is so vain that, though he has a thousand and one basic reasons for being bored, the slightest thing, like pushing a ball with a billiard cue, will be enough to divert him."

Therefore, after reflecting upon these statements by Peter Kreeft and Blaise Pascal, do you think they are onto something? I mean, why are so occupied with business? Is it because, at some level, we are diverting ourselves from our state unhappiness? Is business a type of diversion from seeing how unhappy we actually are?

Is my writing for this email correct?

I mean academy and grammar. (you can edit and add any sentence)

Dear Prof. Joseph,

I hope you are doing well.

As you know that the circumstances of the Corona pandemic caused the borders to close and the suspension of international flights, which led to my delay in coming to my mission headquarters in Britain, in addition to that the University of Manchester has been largely closed to students since March 2020. I need a letter from you indicating that I am in constant contact with you during The Coronavirus pandemic with regard to research topics and that we have started albeit in a small way, to develop initial plans for a PhD research project because I am facing an obstacle and questions why I have not started the PhD program yet and this will really help me clarify that, in addition to speeding up the procedures for opening a new scholarship file by my sponsor and then Final financial guarantee application and submit it to the university.

I hope you will understand my situation and help me with that.

Best regards

Lama

Matt and Meg Comer are married. They do not have any children. Matt works as a history professor at a local university and earns a salary of $64,000. Meg works part-time at the same university. She earns $21,000 a year. The couple does not itemize deductions. Other than salary, the Comers’ only other source of income is from the disposition of various capital assets (mostly stocks). Assume they file a joint return. (Use the tax rate schedules.) (Round final answers to the nearest whole dollar amount.)

A. What is the Comers’ tax liability for 2017 if they report the following capital gains and losses for the year?

The average exam score for students enrolled in statistics classes at Indiana University Northwest is 80 and grades are normally distributed. A professor decides to select a random sample of 25 students from his CJ statistics class to see how CJ students compare to the student body in terms of exam performance. The average exam score of this sample is 78 with a variance equal to 100. Are the stats exam scores of the students in the CJ class significantly different when compared to the average university student at IUN?

a. Reach a statistical conclusion

b. Interpret your results

c. What would be your statistical conclusion and interpretation if the size of the selected sample would be 100?

2. Using the information provided at Q1, calculate the 95% confidence interval of the mean stats exam scores for the population of CJ students enrolled at IUN. [sample size = 25]

a. Interpret the 95%CI

b. Test the hypothesis that the CJ students’ population mean at stats exam is 80. Do you reject or fail to reject the null hypothesis? Justify your conclusion.

1. A quick history: When I was taking finance classes in the early 1990s, My finance professor, an intimidating guy from Rochester, NY, impressed upon us all that we'd have to be fools not to be earning 10% in the market. This was largely due to the times. Everyone made money in the early 90s. The way you measure your gains against everyone else is by using CAPM. Your text mentions some shortfalls of CAPM that have popped up over the years. If we assume the problems with CAPM were always there, how might the prevalent use of CAPM have led to irrational capital pricing decisions and how might that affect the value of a company?

3. What are the advantages/disadvantages of financing an expansion with debt rather than equity? Does this change if you are financing a replacement project?

Your U.S. based company has purchased equipment from a German manufacturer worth €10,000,000 that is payable in one year. The current spot rate S(EUR/USD) is $1.13 and the F₁₂(EUR/USD) is $1.1037. The US interest rate is 5 percent and the German interest rate is 7.5 percent. Additionally, a call to buy euros at a strike price $1.11 in 12 months has a premium of $0.0007 per euro and a put at the same strike price have a premium of $0.003. Show the actions you would take and the net cost of the purchase in USD at the time the obligation is due using:

a) the forward market

b) a money market hedge

c) an options contract if the S₁₂ (EUR/USD) is $1.19

d) an options contract if the S₁₂ (EUR/USD) is $1.09.