Use SPSS Do not exceed more than 2 pages of output.

You were again promoted by the mayor for getting her good information about lead levels in dogs. She has appointed you the new senior health officer of the city of Sarasota. Your first task is to check the results of a report that the previous health officer completed. The mayor thinks there might be some calculation errors in the data presented. You need to determine the mean, median, mode, range, standard deviation and variance of the following data. Produce a graph that allows the mayor to determine if the data are normally distributed.

It should be a minimum of 450 words or else do not answer the question.

Do not plagiarize or paste any other answer from chegg!!

1. Reflect on the concept of polynomial and rational functions.

2. What concepts (only the names) did you need to accommodate these concepts in your mind?

3. What are the simplest polynomial and rational function you can imagine?

4. In your day to day, is there any occurring fact that can be interpreted as polynomial and rational functions?

5. What strategy are you using to get the graph of polynomial and rational functions?

Please note that for all problems in this course, the standard cut-off (alpha) for a test of significance will be .05, and you always report the exact power unless SPSS output states p=.000 (you’d report p<.001). Also, remember that we divide the p value in half when reporting one-tailed tests with 1 – 2 groups.

12. Paste the relevant SPSS output, including post hocs if necessary. (2 pts)

13. Create the most appropriate graph for this data given the results. (2 pts)

14. Write an APA-style Results section based on your analysis. All homework “Results sections” should follow the examples provided in the presentations and textbooks. They should include the statistical statement within a complete sentence that mentions the type of test conducted, whether the test was significant, and if relevant, effect size and/or post hoc analyses. Don’t forget to include a decision about the null hypothesis. (4 pts)

"linear programming". Find out a little more about the history of how and when this method was developed and in what kinds of settings it is used. Remember to cite your sources.

For each problem (A and B),

- Seek power series solutions of the given differential equation about the given point x₀ and find the recurrence relation.

- Find the first four terms in each of two solutions y₁ and y₂ (unless the series terminates sooner).

- By evaluating the Wronskian W(y₁, y₂)(x₀), show that y₁ and y₂ form a fundamental set of solutions.

- If possible, find the general term in each solution.

A) (1 - x)y" + y = 0; x₀ = 0

B) xy" + y' + xy = 0; x₀ = 1

Considering the transition matrix below, what is the probability that a bond initially rated B will be in default (rating D) at the end of two years? Show how you derived your answer.                     

Consider the statement, “For all natural numbers n,n, if nn is prime, then nn is solitary.” You do not need to know what solitary means for this problem, just that it is a property that some numbers have and others do not.

1. Write the converse and the contrapositive of the statement, saying which is which. Note: the original statement claims that an implication is true for all n,n, and it is that implication that we are taking the converse and contrapositive of.

2. Write the negation of the original statement. What would you need to show to prove that the statement is false?

3. Even though you don't know whether 10 is solitary (in fact, nobody knows this), is the statement “if 10 is prime, then 10 is solitary” true or false? Explain.

4. It turns out that 8 is solitary. Does this tell you anything about the truth or falsity of the original statement, its converse or its contrapositive? Explain.

5. Assuming that the original statement is true, what can you say about the relationship between the set PP of prime numbers and the set SS of solitary numbers. Explain.

Address the situation as a system of two equations in two variables. Be sure to state clearly the meaning of your x- and y-variables. Solve the system by row-reducing the corresponding augmented matrix. State your final answer in terms of the original question.

A corn and soybean commodities speculator invested $27,000 yesterday with twice as much in soybean futures as in corn futures. How much did she invest in each?

x=________ invested in corn futures

y=________ invested in soybean futures

In the world of professional sports (football, baseball, basketball), teams which have an operating profit often have a worse win-loss record compared to teams with lower operating profits or an operating loss (teams with the best players win, and the best players cost money). (a) Would you consider a professional sports team to be a profit maximizer? Please explain.

(b) If your answer to (a) is no, then what financial reason is there for anyone to own a professional sports team? Please explain.

Suppose we use the ElGamal signature scheme with p = 65539, ? = 2, ? = 33384. We send signed messages (m, r, s): (809, 18357, 1042) = hi and (22505, 18357, 26272) = bye. (a). Show that the same value of k was used for each signature. (b). Use this fact to find this value of k and to find the value of “a” such that ? ≡ ?? (??? ?).

Sketch base pieces to illustrate each computation for questions 1 – 4. Provide a brief description of the process taking place, regrouping, etc. (5 points each)

1)14_fivex4

2) 48 / 4 * using base 10 pieces, illustrating long division

3)18 / 3 * using the Sharing (partitive) concept

4) 24 / 6*using the Measurement (subtractive) concept

Compute the product using the given method. Describe an advantage of the method. (6 points)

5) 248 x 367 * solve using lattice multiplication

A periodic function f(t) of period T=2π is defined as f(t)=2t ^2 over the period -π<t<π

i) Sketch the function over the interval -3π<t<3π

ii) Find the circular frequency w(omega) and the symmetry of the function (odd, even or neither).

iii) Determine the trigonometric Fourier coefficients for the function f(t)

iv) Write down its Fourier series for n=0, 1, 2, 3 where n is the harmonic number.

v) Determine the Fourier series for the function g(t)=2t^ 2 -1 over the period -π<t<π and write down its Fourier series for n=0, 1, 2, 3

Find an upper bound for the error occured for the approximation calculated by Divided Differences Method for f(x)=exp(2x)-x with x0=1, x1=1.25, and x2=1.6.

Find a third-degree-polynomial model of salinity  as a function of time . Use the general form of a polynomial in the box on page 114 of our textbook. Hint: proceed much as you did for the quadratic model, and look ahead to the next paragraph.

Explain why it’s possible to find more than one third-degree-polynomial model that fits the data perfectly.

Use your third-degree-polynomial model to predict the salinity at .

Make a large graph of your third-degree-polynomial model, at least through .

Use your third-degree-polynomial model to predict the long-term trend of salinity.

​Recently, More Money 4U offered an annuity that pays 6.0 % compounded monthly. If $1,828 is deposited into this annuity every​ month, how much is in the account after 11 ​years? How much of this is​ interest?

Type the amount in the​ account: ​(Round to the nearest​ dollar.)

Type the amount of interest​ earned: ​(Round to the nearest​ dollar.)