Johanna and Ryan Younan 1.Johanna and Ryan Younan just put their two boys (grades 6 and 2) on their respective school buses for the first day of school and realized that they are growing up fast. As their financial planner, Johanna and Ryan called you and stated that they wanted to save, starting today, at the beginning of every month for the next six years (until the older child goes to college) to pay for one-half of school expenses for both children. You know that tuition, room, and board this year cost $18,000 at their selected school, and you expect 5 percent effective annual inflation for education expenses. Johanna and Ryan also said that they know the children’s grandparents are going to make a gift of $48,000 toward this cause in exactly three years. Assume that both children attend the same college for four years each. Also assume that the annual tuition bill is due at the beginning of each academic year, and the first payment is exactly seventy two months away. How much money will Johanna and Ryan need to invest on a monthly basis to meet their education goal assuming a required effective annual rate of 10.471 percent (10 percent APR with monthly compounding)?

Your code needs to do the following:

1. Create a function called pigLatin that accepts a string of English words in the parameter sentence and returns a string of those words translated into Pig Latin. English is translated to Pig Latin by taking the first letter of every word, moving it to the end of the word and adding ‘ay’. For example the sentence “The quick brown fox” becomes “hetay uickqay rownbay oxfay”. You may assume the words in the parameter sentence are separated by a space.
2. Print the original sentence.
3. Print the Pig Latin sentence
4. Use the computeScrabbleScore function, developed earlier, to produce a list of tuples of the Pig Latin words and their associated Scrabble scores.
5. Print the list of Pig Latin tuples.

def pigLatin(sentence):
# Write your code below
return

# Use the variable below to test
sentence = 'The quick brown fox jumps over the lazy dog'
# write your code below

Boys of a certain age in the nation have an average weight of 85 with a variance of 114.49 lb. A complaint is made that boys are overfed in a municipal children's home. As evidence, a sample of 21 boys of the given age is taken from the children's home with an average weight of 92.5 lb. What can be concluded with α = 0.05?

a) What is the appropriate test statistic?
---Select--- na z-test One-Sample t-test Independent-Samples t-test Related-Samples t-test

b)
Population:
---Select--- feeding method children's home weight boys from the home boys in the nation
Sample:
---Select--- feeding method children's home weight boys from the home boys in the nation

c) Compute the appropriate test statistic(s) to make a decision about H₀.
(Hint: Make sure to write down the null and alternative hypotheses to help solve the problem.)
critical value =  ; test statistic =  
Decision:  ---Select--- Reject H0 Fail to reject H0

d) If appropriate, compute the CI. If not appropriate, input "na" for both spaces below.
[  ,  ]

e) Compute the corresponding effect size(s) and indicate magnitude(s).
If not appropriate, input and select "na" below.
d =  ;   ---Select--- na trivial effect small effect medium effect large effect
r² =  ;   ---Select--- na trivial effect small effect medium effect large effect

f) Make an interpretation based on the results.

The average weight of boys in the municipal children's home was significantly higher than the average weight of boys in the nation.The average weight of boys in the municipal children's home was significantly lower than the average weight of boys in the nation.    The average weight of boys in the municipal children's home was not significantly different than the average weight of boys in the nation.

Suppose that demand for carpet-cleaning services in Dirtville is described by P = 200 - 4Q. There are currently 9 identical firms that clean carpet in the area. The unit-cost of cleaning a carpet is constant and equal to $20. Firms in this industry compete in quantities.

a) Show that in the Cournot-Nash equilibrium the profit of each firm is 81.

b) Suppose that one of the carpet-cleaning firms is contemplating merging with another firm. This merged firm would compete on all equal footing with non-merged firms. Show that the profit earned by the merged firm would be insufficient to compensate all the shareholders/owners who owned the original firms and earned profits from them in the pre-merger game.

c) Now suppose that eight of the nine firms have agreed to engage in pairwise mergers (e.g., firm 1 mergers with firm 2, firm 3 merges with firm 4, etc.), reducing the number of firms in the market from nine to five. Would this arrangement be profitable for the merged firms? Which firm benefits the most from this action?

1. According to the empirical rule, for a distribution that is symmetric and bell-shaped, approximately _______ of the data values will lie within 3 standard deviations on each side of the mean.

2. Assuming that the heights of boys in a high-school basket- ball tournament are normally distributed with mean 70 inches and standard deviation 2.5 inches, how many boys in a group of 40 are expected to be taller than 75 inches?

3. Let x be a random variable that represents the length of time it takes a student to complete Dr. Gill’s chemistry lab project. From long experience, it is known that x has a normal distribution with mean μ = 3.6 hours and standard deviation σ = 0.5.

Convert each of the following x intervals to standard z intervals.

(a) x ≥ 4.5 4. (a) __________________________

(b) 3 ≤ x ≤ 4 (b) __________________________

(c) x ≤ 2.5 (c) __________________________

Convert each of the following z intervals to raw-score x intervals.

(d) z ≤ −1 (d) __________________________

(e) 1 ≤ z ≤ 2 (e) __________________________

(f) z ≥ 1.5 (f)_ __________________________

The Town of Oatsville is seeking fire service from Blackwell County for a fee. The new Blackwell Board of County Commissioners is interested in a potential contract with Oatsville as a way to generate additional revenue for the county. For seasoned county officials, Oatsville has been noted for its older housing stock and its high calls for fire and emergency medical services. Furthermore, the county has had it own financial challenges, which has precluded new hires. The new town mayor of Oatsville has been promoting a town wide home buyer program hat includes low interest loans to increase owner occupied housing, and, as such, he has argued that the program promotes more investment in the town’s neighborhoods and is increasing fire safety. Therefore, the mayor has argued that a possible contract with the county will not place an additional burden on limited county resources. The Blackwell county executive has asked you to look into this issue before any interest or commitments are made to the Town. You, in turn, have asked the Oatsville town manager to send you information on number of fires during the past year in all nine districts of the town. The information also includes average age of housing stock and percentage of owner occupied housing in those districts. Analyze the relation between number of fires and age of housing stock. Next, look at the relationship between these two variables while taking into consideration owner occupied housing. What do the results show about the mayor’s home buyer policy? What would you recommend to the county executive?

Develop a Entity-Relationship Diagram (ERD)

Many-to-Many

The city of Terra Haute, IN wants to maintain information about its extensive system of high schools, including its teachers and their university degrees, its students, administrators, and the subjects that it teaches.

Each school has a unique name, plus an address, telephone number, year built, and size in square feet. Students have a student number, name, home address, home telephone number, current grade, and age. Regarding a student’s school assignment, the school system is only interested in keeping track of which school a student currently attends. Each school has several administrators, such as the principal and assistant principals. Administrators are identified by an employee number and also have a name, telephone number, and office number.

Teachers are also identified by an employee number and each has a name, age, subject specialty such as English (assume only one per teacher), and the year that they entered the school system. Teachers tend to periodically move from school to school and the school system wants to keep track of the history of which schools the teacher has taught in, including the current school. Included will be the year in which the teacher entered the school and the highest pay rate that the teacher attained at the school. The school system wants to keep track of the universities that each teacher attended, including the degrees earned and the years in which they were earned. The school system wants to record each university’s name, address, year founded, and Internet URL (address.) Some teachers, as department heads, supervise other teachers. The school system wants to keep track of these supervisory relationships but only for teachers’ current supervisors.

The school system also wants to keep track of the subjects that it offers (e.g. French I, Algebra III, etc). Each subject has a unique subject number, a subject name, the grade level in which it is normally taught, and the year in which it was introduced in the school system. The school system wants to keep track of which teacher taught which student which subject, including the year this happened and the grade received.

what are the cultural forces working to reduce population growth in latin america? What forces keep population growth so high? What are the impacts of population growth on Latin American politics and economics.

In 1900 Chile’s income per capita was $1,950, which made it the second richest country in Latin America, after Argentina. Saul Bolaño, a reputed historian, explains Chile’s relative success on the fact that its elite class was “disciplined, progressive, and industrious” (Yeager, 1991). Imagine a journalist covering Latin America asks you for your opinion, as an expert on Latin American development, about Bolaño’s theory. What would you tell the journalist? ​

Analyze and Explain: The international marketing manager at the University of Colorado is convinced there is a market in Latin America for a cuddly CU Ralphie mascot plush toy. She has learned about your experience in the Doing Business in Latin America course and needs your advice. Based on the chapters in Robles and Lascu, please list and briefly discuss five (5) key aspects of Latin American consumers that CU should consider in the Raphie marketing plan.