The position of an object moving along an x axis is given by x = 3.12 t - 4.08 t² + 1.10 t³, where x is in meters and t in seconds. Find the position of the object at the following values of t: (a) 1 s, (b) 2 s, (c) 3 s, and (d) 4 s. (e) What is the object's displacement between t = 0 and t = 4 s? (f) What is its average velocity from t = 2 s to t = 4 s?

Which of the following is a correct illustration of the balanced equation for  of H₃PO₄(s)?

3. The number of misprints on 200 selected pages from the 2018 editions of the Earth News, a quality newspaper, were recorded. The table below summarizes the result.

Perform the ?2 − test at ? = 0.05 to test the claim that a suitable model for these data is Poisson with a mean of 4.

For each of the following octahedral complexes:

a) determine the number of 'd' electrons on the metal atom.

b) determine the number of unpaired electrons on the metal atom.

c) calculate the magnetic moment (spin only value) in units of Bohr magnetons.

d) calculate the ligand field stabilization energy, LFSE, in units of delta0

1)[Mn(H2O)6]2+

2)[CrCl6]4-

3)[NiF6]3-

4)[Co(CN)6]4-

5)[Mn(CO)6]+

Use the following activities and their three duration estimates (in days) to do the following

1. Calculate the probability that the project will take at least 19 days - use 2 decimals when determining the duration

1. determining the duration

Let the joint pmf of X and Y be defined by f (x, y) = c(x + y), x =0, 1, 2, y = 0, 1, with y ≤ x.

1. Are X and Y independent or dependent? Why or why not?

2. Find g(x | y) and draw a figure depicting the conditional pmfs for y =0 and 1.

3. Find h(y | x) and draw a figure depicting the conditional pmfs for x = 0, 1 and2.

4. Find P(0 < X <2 |Y = 0), P(X ≤ 2 |Y = 1), and P(X = 1 |Y = 1).

5. Find E(Y |X = 1) and Var(Y |X = 1).

Chapter 13, Question 18. To address whether carotenoids influence immune system function, researchers gave ten individual finches supplemental carotenoids in their diet, and had 10 individuals that did not. All 20 birds were then measured using an assay that measures cell-mediated immunocompetence (PHA) as well as an assay that measures humoral immunity (SRBC). The data are given below. The researchers had independent reasons to believe that neither assay score would be normally distributed, so they preferred a nonparametric test.

Does PHA differ on average between the birds that received supplemental carotenoids and those that did not?

H0: No difference in median between groups.

HA: There is a difference in median between groups.

To begin, what is the value of U1 (assuming CAROT is group 1)?

What is the P-value?

You have a 5 year investment holding horizon, would like to earn a 4% annual compound return each year, you have a choice between two bonds. Whatever money you have to invest will be invested in one type of bond or another. Find the Duration and Modified Duration for each bond (show your work and answer the questions below)

• Bond 1 has a 4% annual coupon rate, $1000 maturity value, n = 5 years, YTM = 4% (pays a $40 annual coupon at the end of each year for each of the 5 years and $1,000 maturity payment at the end of year 5). • Bond 2 is a zero coupon bond with a $1000 maturity value, and n = 5 years; YTM= 4%. (pays no coupons; only a $1,000 maturity payment at the end of year 5)

a. Price Bond 1 ______________ Price Bond 2 _____________

b. Duration Bond 1 ______________ Duration Bond 2 ____________

c. Modified Duration Bond 1 ______ _ Modified Duration Bond 2 ____________ (Be sure to show your work for the bond price and duration calculations for credit).

d. Which of the two bonds should you choose for your 5-year investment horizon to duration match to ensure your desired 4% annual compound return if you hold the bond for 5 years to maturity? Explain why. (assume the same default risk for each bond). __________________________________________

e. If interest rates go up by 1%, what will be the % Change in the market value for each Bond’s Price? (Hint Change in Price % = - Modified Duration x Change in Rate (expressed as a fraction, i.e. .01). % Change in Price for Bond 1 ________% Change in Price for Bond 2 ____________

f. Which of the 2 bonds has more price risk and which has more reinvestment risk? Explain why.____________________________________________ 2.

a. For the Zero Coupon Bond 2 above, what will be your annual compound yield for your 5 year holding period if the bond is held until maturity. (Hint: PV is the price you calculated for Bond 2 and FV is the bond’s maturity value of $1,000 and n is the 5 year holding period; solving for i) (see formulas below). Hint Recall: Annual Compound Yield = {[FV / PV] ^ 1/n} - 1 or In other words {[What you have at the end of 5 Years / What You Paid] ^1/n } - 1 n = your 5-year holding period. Annual Compound Yield for Bond 2 at End of Year 5 __________________

b. Suppose for the Coupon Bond 1 above, rates go down to 2% after you purchase the bond for the life of the bond. Thus, you have to invest each of your $40 coupon payments at a 2% rate, and hold the bond to maturity, receiving your $1,000 maturity value at the end of year 5. What will be your annual compound yield? Hint: Recall FV of Bond Coupons Reinvested for 5 years = Coupon Payment (FVIFA 2%, 5) ACY = { [(FV of Coupons +Maturity Value) / (Price of Bond)] ^1/n } - 1, where n = 5 years Annual Compound Yield for Bond 1 at the End of Year 5 ____________

c. Explain why you received your desired annual compound return for the 5 year holding period for Bond 2 in a., but didn’t receive your desired Annual Compound Return for Bond 1 for your 5 year holding period in b.? 3. Distinction Between Real and Nominal Interest Rates a. Distinguish between a nominal versus a real interest rate. b. If a bond gives you a 4% nominal annual interest rate and the inflation rate over the year is 2%, what is the real ex post rate of return you receive? Real Rate You Receive _______________ c. If an investor wants a real rate of return of 2% and expects inflation to be 2% next year, what nominal rate should the investor demand? Nominal Rate Investor Demands _______________

***Please show me how to calculate***

For Questions 1 and 2, include all Steps of Hypothesis Testing listed below in bold. For each problem, use the p-value

from SPSS to determine whether to reject or not reject the null hypothesis and don’t forget to

indicate your conclusion about whether there is a significant difference.

1)State your hypotheses: H0 and H1

2)Select the appropriate statistical test

3)Indicate whether test is directional or non-directional

4)Specify a, N, and df (if appropriate)

5)Do your calculations

6)Determine critical value(s) for test statistic

7)Make the appropriate decision based on Steps5 & 6 to reject or fail to reject your null hypothesis

8) State conclusion (interpret results) in words

1. An instructor believed that the students who earn a C or higher differ in the number of hours they

spend studying, compared to students who receive a D or F. She collected the following data on

two independent samples of students from a class of 150 students.

Course Grade

Hours Spent Studying

A, B, or C:

9, 5, 12, 4, 7, 5, 4, 6, 1, 8

D or F:

3, 3, 1, 4, 0, 2, 3, 1, 4, 3

Using SPSS and

alpha = .05, conduct an appropriate statistical test. There is no data file; you must

enter the data yourself. Submit all written steps and the actual SPSS output.

2. An investigator wishes to compare the effects of two different training methods on the

performance of a particular task. He recruits 16 participants and randomly assigns them to

Training Method 1 or Training Method 2. Assume that the following results are obtained, where

higher scores indicate better performance.

Training Method

Performance

Method 1:

7, 8, 10, 14, 12, 13, 15, 16

Method 2:

5, 3, 12, 10, 11, 10, 12, 12

Conduct an appropriate statistical test using SPSS and alpha = .05. There is no data file; you must enter the data yourself. Submit all written steps and the actual SPSS output.

In Java

In mathematics, factorial of a non-negative integer n, denoted by n! , is the product of all positive integers less than or equal to n. For example,

5! = 5 * 4 * 3 * 2* 1 = 120

3! = 3 * 2 * 1 = 6

2! = 2 * 1 = 2

The value of 0! is 1.

Write a program that asks user to enter an integer > 0; if a valid value is entered, it should calculate and display factorial of the number entered. If the user enters an integer <=0, display a message "Invalid entry - valid entry is an integer > 0" and have them re-enter the information.