Match each sequence to a good candidate for a closed form. Note that for each of the given sequences, the initial value of the index n is given.

1. A. 1, 3, 7, 15, 31, 63, ... (n>=0)
2. B. 3, 8, 13, 18, 23, 28,... (n>=1)
3. C. 3, 8, 15, 24, 35, ... (n>=1)
4. D. 1, 1, 2, 3, 5, 8, 13, 21, ... (n>=1)
5. E. Corresponding sequence not listed.

selectABCDE	1. f(n)=5n−2
selectABCDE	2. f(n)=((1+5√)2)n−((1−5√)2)n5–√
selectABCDE	3. f(n)=2n+1−1
selectABCDE	4. f(n)=5n+3
selectABCDE	5. f(n)=2n−1
selectABCDE	6. f(n)=(n+1)2−1
selectABCDE	7. f(n)=n2−1

1.

Calculate Payroll

Breakin Away Company has three employees-a consultant, a computer programmer, and an administrator. The following payroll information is available for each employee:

	Consultant		Computer Programmer		Administrator
Regular earnings rate	$2,410 per week		$30 per hour		$48 per hour
Overtime earnings rate	Not applicable		1.5 times hourly rate		2 times hourly rate
Number of withholding allowances	3		2		1

For the current pay period, the computer programmer worked 60 hours and the administrator worked 50 hours. The federal income tax withheld for all three employees, who are single, can be determined by adding $356.90 to 28% of the difference between the employee's amount subject to withholding and $1,796.00. Assume further that the social security tax rate was 6%, the Medicare tax rate was 1.5%, and one withholding allowance is $70.

Determine the gross pay and the net pay for each of the three employees for the current pay period. Assume the normal working hours in a week are 40 hours. If required, round your answers to two decimal places.

	Consultant	Computer Programmer	Administrator
Gross pay	$	$	$
Net pay	$	$	$

2.

Summary Payroll Data

In the following summary of data for a payroll period, some amounts have been intentionally omitted:

Earnings:
	1. At regular rate	?
	2. At overtime rate	$64,700
	3. Total earnings	?
Deductions:
	4. Social security tax	25,920
	5. Medicare tax	6,480
	6. Income tax withheld	110,000
	7. Medical insurance	14,900
	8. Union dues	?
	9. Total deductions	160,000
	10. Net amount paid	272,000
Accounts debited:
	11. Factory Wages	229,000
	12. Sales Salaries	?
	13. Office Salaries	86,400

a. Calculate the amounts omitted in lines (1), (3), (8), and (12).

(1)	$
(3)	$
(8)	$
(12)	$

b. Journalize the entry to record the payroll accrual. If an amount box does not require an entry, leave it blank.

c. Journalize the entry to record the payment of the payroll.

3.

Quick Ratio

Gmeiner Co. had the following current assets and liabilities on December 31 of two recent years:

				Current Year		Previous Year
Current assets:
	Cash			$525,000		$571,000
	Accounts receivable			465,000		269,000
	Inventory			287,000		227,000
		Total current assets		$1,277,000		$1,067,000
Current liabilities:
	Current portion of long-term debt			$72,000		$63,000
	Accounts payable			144,000		126,000
	Accrued and other current liabilities			234,000		231,000
		Total current liabilities		$450,000		$420,000

a. Determine the quick ratio for December 31 of both years. If required, round your answers to one decimal place.

	Quick Ratio
Previous year:
Current year:

I put 2.2 & 2 and there was a decrease but that was incorrect. I am not sure exactly what I am doing wrong.

b. How did the quick ratio change between the two balance sheet dates?
Decreased

3. Write a function named "countNonAlpha" that accepts a string. It will return the number of non-alphabet characters (excluding blanks) in the string.
For example, if the string is "Hello, World!", it will return 2 for ',' and '!" in the string.

4. Write a function named "deleteZeros" that takes two arguments:
a. an array of integer values;
b. an integer for the number of elements in the array;
The function will return the number of zeros that it has deleted from the array
The function should shift the contents of each element in the array whenever a zero
element is deleted
For example, if the array is defined as
int numList[] = {10, 0, 20, 30, 40, 0, 50};
The function will return 2 and shift to make the array to contain
10 20 30 40 50

5. Write a function named "reverseCase" that takes only one argument of a C-string (an array of characters that terminates with a NULL ('\0') character).
The function will change all lower cases to upper case and vice versa in that given
C-string. If the character is not an alphabet, it will be unchanged.
The function will return the number of letters that it has changed.
For example, if the array is defined as
char greeting[] = " Hello, World! ";
It will return 10 and change the array to contain
hEELO, wORLD!

Using excel and the data in chapter 14 data set 2, complete the analysis and interpret the results. It is a 2 x 3 experiment: There are two levels of severity, where the Level 1 is severe and Level 2 is mild, and there are three levels of treatment, where Level 1 is Drug #1, Level 2 is Drug #2, and Level 3 is Placebo. This is an ANOVA with replication because each participant received all three levels of treatment, which are represented by the columns of data; severity is represented by the rows.

  
Severity 1  

6   6   2
   6   5   1
   7   4   3
   7   5   4
   7   4   5
   6   3   4
   5   3   3
   6   3   3
   7   4   3
   8   5   4
   7   5   5
   6   5   3
   5   6   1
   6   6   2
   7   7   4
   8   6   5
   9   5   3
   8   7   4
   7   6   2
7   8   3

Severity 2  

7   7   4
   8   5   5
   8   4   6
   9   3   5
   8   4   4
   7   5   4
   6   4   6
   6   4   5
   6   3   4
   7   3   2
   7   4   1
   6   5   3
   7   6   2
   8   7   2
   8   7   3
   8   6   4
   9   5   3
   0   4   2
   9   4   2
   8   5   1

Java program.

Need to create a class names gradesgraph which will represent the GradesGraphtest program.

Assignment

Create a class GradesGraph that represents a grade distribution for a given course. Write methods to perform the following tasks:

• Set the number of each of the letter grades A, B, C, D, and F.

• Read the number of each of the letter grades A, B, C, D, and F.

• Return the total number of grades.

• Return the percentage of each letter grade as a whole number between 0 and 100, inclusive.

• Draw a bar graph of the grade distribution.

The graph will have five bars, one per grade. Each bar can be a horizontal row of asterisks, such that the number of asterisks in a row is proportionate to the percentage of grades in each category. Let one asterisk represent 2 percent, so 50 asterisks correspond to 100 percent. Mark the horizontal axis at 10 percent increments from 0 to 100 percent, and label each line with its letter grade.

For example, if the grades are 1 A, 4 Bs, 6 Cs, 2 Ds, and 1 F, the total number of grades is 14, the percentage of As is 7, the percentage of Bs is 29, the percentage of Cs is 43, the percentage of Ds is 14, and the percentage of Fs is 7. The A row would contain 4 asterisks (7 percent of 50 rounded to the nearest integer), the B row 14, the C row 21, the D row 7, and the F row 4.

Test Program

public class GradesGraphTest

{

   public static void main(String[] args)

   {

int numberOfAs;

int numberOfBs;

int numberOfCs;

int numberOfDs;

int numberOfFs;

System.out.println();

System.out.println("Test case 1: readInput() and writeOutput()");

GradesGraph grades = new GradesGraph();

grades.readInput();

System.out.println();

grades.writeOutput();

System.out.println();

System.out.println("===============================");

System.out.println();

System.out.println();

System.out.println("Test case 2:");

System.out.println("set counts as a group: A=1, B=2, etc.");

grades.set(1, 2, 3, 4, 5);

System.out.println();

System.out.println("Verify results with writeOutput():");

grades.writeOutput();

System.out.println("===============================");

System.out.println();

System.out.println();

System.out.println("Test case 3:");

System.out.println("set counts individually");

System.out.println("A=10, B=9, etc.");

grades.setAcount(10);

grades.setBcount(9);

grades.setCcount(8);

grades.setDcount(7);

grades.setFcount(6);

System.out.println();

System.out.println("Verify results with writeOutput():");

grades.writeOutput();

System.out.println("===============================");

System.out.println();

System.out.println();

System.out.println("Test case 4:");

System.out.println("write (display) counts individually:");

System.out.println();

System.out.println("Verify A=10, B=9, etc.");

System.out.println();

grades.writeAcount();

grades.writeBcount();

grades.writeCcount();

grades.writeDcount();

grades.writeFcount();

System.out.println("===============================");

System.out.println();

System.out.println();

System.out.println("Test case 5:");

System.out.println("return counts individually:");

System.out.println();

System.out.println("Verify A=10, B=9, etc.");

System.out.println();

System.out.println("A count = " + grades.getAcount());

System.out.println("B count = " + grades.getBcount());

System.out.println("C count = " + grades.getCcount());

System.out.println("D count = " + grades.getDcount());

System.out.println("F count = " + grades.getFcount());

System.out.println();

System.out.println("===============================");

System.out.println();

System.out.println();

System.out.println("Test case 6:");

System.out.println("return total number of grades");

System.out.println();

System.out.println("Verify total = 40");

System.out.println();

System.out.println("Total number of grades = "

+ grades.getTotalNumberOfGrades());

System.out.println();

System.out.println("===============================");

System.out.println();

System.out.println();

System.out.println("Test case 7:");

System.out.println("return percentages of each grade");

System.out.println();

System.out.println("Verify A=25, B=23, C=20, D=18, & F=15");

System.out.println();

System.out.println("A = " + grades.getPercentA());

System.out.println("B = " + grades.getPercentB());

System.out.println("C = " + grades.getPercentC());

System.out.println("D = " + grades.getPercentD());

System.out.println("F = " + grades.getPercentF());

System.out.println();

System.out.println("===============================");

System.out.println();

System.out.println();

System.out.println("Test case 8:");

System.out.println("Draw graph of grade percentages");

System.out.println();

System.out.println("Verify A=25, B=23, C=20, D=18, & F=15");

System.out.println();

grades.draw();

System.out.println();

System.out.println("Test case 9:");

System.out.println("Draw graph of grade percentages");

System.out.println();

System.out.println("Verify A=100%");

grades.set(1, 0, 0, 0, 0);

System.out.println();

grades.draw();

System.out.println();

System.out.println("Test case 10:");

System.out.println("Draw graph of grade percentages");

System.out.println();

System.out.println("Verify all 0%");

grades.set(0, 0, 0, 0, 0);

System.out.println();

grades.draw();

   }

}

  

The output will be:

Test case 1: readInput() and writeOutput()

How many A's?

5

How many B's?

9

How many C's?

5

How many D's?

6

How many F's?

2

Number of A's = 5

Number of B's = 9

Number of C's = 5

Number of D's = 6

Number of F's = 2

===============================

Test case 2:

set counts as a group: A=1, B=2, etc.

Verify results with writeOutput():

Number of A's = 1

Number of B's = 2

Number of C's = 3

Number of D's = 4

Number of F's = 5

===============================

Test case 3:

set counts individually

A=10, B=9, etc.

Verify results with writeOutput():

Number of A's = 10

Number of B's = 9

Number of C's = 8

Number of D's = 7

Number of F's = 6

===============================

Test case 4:

write (display) counts individually:

Verify A=10, B=9, etc.

Number of A's = 10

Number of B's = 9

Number of C's = 8

Number of D's = 7

Number of F's = 6

===============================

Test case 5:

return counts individually:

Verify A=10, B=9, etc.

A count = 10

B count = 9

C count = 8

D count = 7

F count = 6

===============================

Test case 6:

return total number of grades

Verify total = 40

Total number of grades = 40

===============================

Test case 7:

return percentages of each grade

Verify A=25, B=23, C=20, D=18, & F=15

A = 25

B = 23

C = 20

D = 18

F = 15

===============================

Test case 8:

Draw graph of grade percentages

Verify A=25, B=23, C=20, D=18, & F=15

2 10 20 30 40 50 60 70 80 90 100

| | | | | | | | | | |

**************************************************

************ A

*********** B

********** C

********* D

******* F

Test case 9:

Draw graph of grade percentages

Verify A=100%

2 10 20 30 40 50 60 70 80 90 100

| | | | | | | | | | |

**************************************************

************************************************** A

B

C

D

F

Test case 10:

Draw graph of grade percentages

Verify all 0%

2 10 20 30 40 50 60 70 80 90 100

| | | | | | | | | | |

**************************************************

A

B

C

D

F

1. Provide an appropriate response.
   
   A district administrator wants to determine the effect of truancy on academic achievement. She asks the dean at a high school to randomly select the records of 50 truant students and to randomly select the records of 50 nontruant students. Identify any problems that are likely to cause confounding.

   		the use of records from only one school
   		nothing (this is a well-designed retrospective study)
   		the use of one person to select the records for members of both groups
   		the number of records in each group (since, presumably, there are more nontruant students, there should be more members selected from that group)

2 points

Question 40

1. Identify which of these types of sampling is used: random, stratified, systematic, cluster, convenience.
   
   To avoid working late, a quality control analyst simply inspects the first 100 items produced in a day.

   		Random
   		Convenience
   		Cluster
   		Stratified
   		Systematic

2 points

Question 41

1. Construct the requested table. Round relative frequencies to the nearest hundredth of a percent, unless otherwise indicated.
   
   The following data show the body temperatures (°F) of randomly selected subjects. Construct a relative frequency table with seven classes: 96.9 - 97.2, 97.3 - 97.6, 97.7 - 98.0, and so on.
   
   Round relative frequencies to the nearest tenth of a percent.

2 points

Question 42

1. Construct the requested table.
   
   The following data represent the total number of years of formal education for 40 employees of a bank.
   
   
   
   Create a frequency table for the number of years of education.

2 points

Question 43

1. Determine whether the evaluated group is a population or a sample.
   
   A researcher determines that 42.7% of all downtown office buildings have ventilation problems.

   		Population
   		Sample

2 points

Question 44

1. Determine whether the evaluated group is a population or a sample.
   
   A researcher examines the records of all the registered voters in one city and finds that 43% are registered Democrats.

   		Sample
   		Population

2 points

Question 45

1. Provide a written description of the complement of the given event.
   
   Of ten adults, at least one of them has high blood pressure.

   		None of the adults have high blood pressure.
   		At most one of the adults has high blood pressure.
   		All of the adults have high blood pressure.
   		Nine of the adults have high blood pressure.

2 points

Question 46

1. Provide a written description of the complement of the given event.
   
   When several textbooks are edited, none of them are found to be free of errors.

   		All of the textbooks are free of errors.
   		One of the textbooks is free of errors.
   		At least one of the textbooks is free of errors.
   		At most one of the textbooks is free of errors.

2 points

Question 47

1. Find the variance for the given data. Round your answer to one more decimal place than the original data. To get the best deal on a microwave oven, Jeremy called six appliance stores and asked the cost of a specific model. The prices he was quoted are listed below:
   

   $663

   $273

   $410

   $622

   $174

   $374

   		36,838.3 dollars2
   		1,207,582.7 dollars2
   		30,698.6 dollars2
   		36,838.2 dollars2

2 points

Question 48

1. Find the standard deviation for the given data. Round your answer to one more decimal place than the original data.
   
   The numbers listed below represent the amount of precipitation (in inches) last year in six different U.S. cities.

   17.2​

   16.6​

   30.8​

   28.6​

   20.3​

   18.4

   		6.15 in.
   		3088.7 in.
   		2899.6 in.
   		29.7 in.

2 points

Question 49

1. Determine if the outcome is unusual. Consider as unusual any result that differs from the mean by more than 2 standard deviations. That is, unusual values are either less than μ - 2σ or greater than μ + 2σ.
   
   A survey for brand recognition is done and it is determined that 68% of consumers have heard of Dull Computer Company. A survey of 800 randomly selected consumers is to be conducted. For such groups of 800, would it be unusual to get 504 consumers who recognize the Dull Computer Company name?

   		Yes
   		No

2 points

Question 50

1. Find the standard deviation, σ, for the binomial distribution which has the stated values of n and p. Round your answer to the nearest hundredth.
   
   n = 1617; p = 0.57

   		σ = 17.50
   		σ = 24.03
   		σ = 23.18
   		σ = 19.91

We wish to predict the salary for baseball players (y) using the variables RBI (x1) and HR (x2), then we use a regression equation of the form ˆy=b0+b1x1+b2x2.

• HR - Home runs - hits on which the batter successfully touched all four bases, without the contribution of a fielding error.
• RBI - Run batted in - number of runners who scored due to a batters' action, except when batter grounded into double play or reached on an error
• Salary is in millions of dollars.

The following is a chart of baseball players' salaries and statistics from 2016.

Player Name	RBI's	HR's	Salary (in millions)
Miquel Cabrera	108	38	28.050
Yoenis Cespedes	86	31	27.500
Ryan Howard	59	25	25.000
Albert Pujols	119	31	25.000
Robinson Cano	103	39	24.050
Mark Teixeira	44	15	23.125
Joe Mauer	49	11	23.000
Hanley Ramirez	111	30	22.750
Justin Upton	87	31	22.125
Adrian Gonzalez	90	18	21.857
Jason Heyward	49	7	21.667
Jayson Werth	70	21	21.571
Matt Kemp	108	35	21.500
Jacoby Ellsbury	56	9	21.143
Chris Davis	84	38	21.119
Buster Posey	80	14	20.802
Shin-Soo Choo	17	7	20.000
Troy Tulowitzki	79	24	20.000
Ryan Braun	91	31	20.000
Joey Votto	97	29	20.000
Hunter Pence	57	13	18.500
Prince Fielder	44	8	18.000
Adrian Beltre	104	32	18.000
Victor Martinez	86	27	18.000
Carlos Gonzalez	100	25	17.454
Matt Holliday	62	20	17.000
Brian McCann	58	20	17.000
Mike Trout	100	29	16.083
David Ortiz	127	38	16.000
Adam Jones	83	29	16.000
Curtis Granderson	59	30	16.000
Colby Rasmus	54	15	15.800
Matt Wieters	66	17	15.800
J.D. Martinez	68	22	6.750
Brandon Crawford	84	12	6.000
Rajai Davis	48	12	5.950
Aaron Hill	38	10	12.000
Coco Crisp	55	13	11.000
Ben Zobrist	76	18	10.500
Justin Turner	90	27	5.100
Denard Span	53	11	5.000
Chris Iannetta	24	7	4.550
Leonys Martin	47	15	4.150
Justin Smoak	34	14	3.900
Jorge Soler	31	12	3.667
Evan Gattis	72	32	3.300
Logan Forsythe	52	20	2.750
Jean Segura	64	20	2.600

a) Use software to find the multiple linear regression equation. Enter the coefficients rounded to 4 decimal places.
ˆy= ______ + _____ x1 + ______ x2

b) Use the multiple linear regression equation to predict the salary for a baseball player with an RBI of 31 and HR of 20. Round your answer to 1 decimal place, do not convert numbers to dollars.
      ________ millions of dollars

c) Holding all other variables constant, what is the correct interpretation of the coefficient b1=0.111 in the multiple linear regression equation?

• For each HR, a baseball player's predicted salary increases by 0.111 million dollars.
• For each RBI, a baseball player's predicted salary increases by 0.111 million dollars.
• If the baseball player's salary increases by 0.111 million dollars, then the predicted RBI will increase by one.
• If the baseball player's salary increases by 0.111 million dollars, then the predicted RBI will increase by 0.0371.

d) Holding all other variables constant, what is the correct interpretation of the coefficient b2=0.0371 in the multiple linear regression equation?

• If the baseball player's salary increases by 0.0371 million dollars, then the predicted HR will increase by one.
• If the baseball player's salary increases by 0.0371 million dollars, then the predicted HR will increase by 0.111.
• For each RBI, a baseball player's predicted salary increases by 0.0371 million dollars.
• For each HR, a baseball player's predicted salary increases by 0.0371 million dollars.

A steady two-dimensional laminar fully-developed flow downward between

two fixed parallel plates inclined at 50" with horizontal is shown in figure. The

pressure gradient in the direction of the flow is -3935 N/m' per m. Note the

space between parallel plates is 5mm.Use the Navier-Stokes equation in the

flow direction to determine:

a-Velocity distribution of the flow between two plates.

b-Shear stress distribution of the low between two plates.

c- The average velocity of the flow

d- Maxinmum velocity

e-Mininmum shear stress.

f-The shear stress on the two plate

g-What will be the slope of the plate required to produce zero shear stress at the lower plate

Viscosity=0.02

Density=900

​Beryl's Iced Tea currently rents a bottling machine for $ 53,000 per​ year, including all maintenance expenses. It is considering purchasing a machine instead and is comparing two​ options: a. Purchase the machine it is currently renting for $ 165,000. This machine will require $ 23,000 per year in ongoing maintenance expenses. b. Purchase a​ new, more advanced machine for $ 260,000. This machine will require $ 17,000 per year in ongoing maintenance expenses and will lower bottling costs by $ 13,000 per year.​ Also, $ 35,000 will be spent up front to train the new operators of the machine. Suppose the appropriate discount rate is 8 % per year and the machine is purchased today. Maintenance and bottling costs are paid at the end of each​ year, as is the cost of the rental machine. Assume also that the machines will be depreciated via the​ straight-line method over seven years and that they have a​ 10-year life with a negligible salvage value. The marginal corporate tax rate is 40 %. Should​ Beryl's Iced Tea continue to​ rent, purchase its current​ machine, or purchase the advanced​ machine? To make this​ decision, calculate the NPV of the FCF associated with each alternative.