Pareto distribution

Lemma: If p > 3 is prime, then either p = 1 (mod 6) or p = 5 (mod 6). Proof: The residue classes modulo 6 partition Z, so any z in Z satisfies a congruence z = n (mod 6) where n is in {0,1,...,5}. z is divisible by 6 if n = 0, 2 if n = 2, 3 if n = 3, and 2 if n = 4. These cases cover the primes z = 2 and z = 3; if z > 3 is prime, it follows that n = 1 or n = 5, i.e., z = 1 (mod 6) or z = 5 (mod 6). Now suppose there are only finitely many primes congruent to 5 modulo 6, say p_1, ...,…

Wow! It is already time to blog. Man, my time seems to be finite in high school, because it feels like I just blogged last week. I finished Forbes Greatest Technology Stories last week which was about 350 pages worth of great insight on being a successful inventor and entrepreneur. I started a new book called American Lightning, by Howard Blum. I'm 170 pages in, and I can say the story is quite intriguing. As of now, I have half the book read and will finish it up this week to meet my reading…

The two terms income and wealth have mistakenly become identical in American culture. While the two concepts often go hand in hand, using the terms interchangeably can be misleading individuals. Conley differentiated these two terms on chapter 7. According to Conley, individuals think of the term income, when they consider economic status. Income is defined as the amount of money received by an individual for work, from transfers such as inheritances, gifts, or government assistance programs. In…

Chapters 3 Test MULTIPLE CHOICE Select the answer that best completes the statement or that correctly answers the question. 1. Which of the following is the correct scientific notation for the value 5,545.98? a. 55.4598 x 102 b. 55.4598 x 10-2 c. 5.54598 x 103 d. 5.54598 x 105 2. Which of the following is the correct scientific notation for the value 0.0001023? a. 102.3 x 106 b. 1.023 x 10-3 c. 102.3 x 10-6 d. 1.023 x 10-4 3. The atomic mass of Hydrogen is 1.00797 amu. How many significant…

Reflection 30: Unexcused Absences ANOVA Methods An analysis of variance (ANOVA) test is used to evaluate statistically significant differences between two or more samples (Creighton, 2007). For this assignment, I tested the hypothesis stating there is a difference between the number of unexcused absences for ninth through twelfth grade students at North Panola High School (NPHS). To conduct my ANOVA test, I first obtained monthly absence data for ninth, tenth, eleventh, and twelfth grade…

Summary and Response to Oxfam Media Briefing: The Cost of Inequality: How Wealth and Income Extremes Hurt Us All It is widely accepted that economic inequality has reached unacceptable levels and that something must be done to eradicate such extreme inequality (Oxfam, 2013). There is ongoing debate, however, as to how best to tackle this issue. The OECD, IMF and World Bank argue that economic growth is the answer. Granted, they appear to have abandoned the…

Introduction: This Memo provides price and efficiency variances for Specialty Scientific’s manufactured product, the Magellan XS GPS device. Additionally, there is a brief overview of the company’s actions and suggestions for Specialty Scientific. The table below pertains to the Magellan XS. Information about the calculations for these numbers is provided in attachments. TABLE 1 Direct material/Direct Labor Navigation System Polarized Glass Plastic Casing Manufacturing Labor Hours Direct…

Living In Dubuque Iowa My cousin is moving to Dubuque this weekend from Chicago but she doesn’t believe that it is the right thing for her to do. But little do she know their are a lot of good things about this town. Such as all the good history that this town holds. Also there is a lot of fun things to do here as far as going snowboarding at sundown in the winter time. Or even going out enjoying the national parks like going to the Minds Of Spain or the Aubroritom. Dubuque has a lot of great…

Everybody wants to become rich; in fact, not everyone is rich. Some people are born under a rich family, but some are not. The one of the economic problems that America has is that there is a huge the difference between the average income of the top 1% of the population and the average income of the rest of the population. What can be done to minimize the gap between two groups? The solution is the rich people; they should not hold on to their wealth, but they should contribute part of their…

1. (a) I would observe the rent of all tenants in 4 areas and then compare the results. (b) I would use the mean value to determine the average amount of rent in all areas. (c) The mean values are: Area A: μ=1005.5; Area B: μ=887.0; Area C: μ=881.0; Area D: μ=945.5. 2. (a) I would use the column chart because we are comparing continuous data. (b) Average Monthly Rent (c) It appears that the monthly rent in Area A is higher than the…