According to a Pew Research Center survey, 30% of American adults have used an online dating site. Six American adults are randomly selected and asked if they have used an online dating site. What is the standard deviation of the number who have used an online dating site for random samples of six American adults? 

A client asks his auditor to ignore a mistake which understated Cost of Goods Sold and overstated Net Income in the fiscal year ended December 31, 2024; assume the misstatement was a material amount.  Using the Kohlberg stage-sequence model, describe the auditor’s behavior at each level (not stage). Level 1:   Level 2:   Level 3:

Discuss examples from Crossing the Line, Miss Sloane or The Big Short that represent a clear demonstration by the individual of one of the ethical theories we have studied.  Use 3 examples and 3 different theories (deontology, justice, virtue, rights, act-utilitarianism or rule-utilitarianism theories; you may use one of the egoism theories) to complete this question.    1.     2.    3.

Marianne Jennings identified “Seven Signs of Ethical Collapse”—common ethical signs of moral meltdowns in companies that experienced ethical collapse.  Jennings described them as the common threads that made good people at those companies do really dumb things.  Select 3 of the 7 signs, and for each of the three signs selected:  Name the sign and briefly describe it, and Provide an example of the sign from an assigned movie, Helios case, class lecture, or class reading.

For the following 5th order equation    its characteristic equation          has solutions     Which of the following is the general solution of the given equation? 

(6 points for the correct answer; 2 bonus points if you have correctly answered 8 questions among questions 1 through 8 and question 10.)  Find two values of such that

For the following 5th order equation    its characteristic equation          has solutions     Which of the following is a fundamental set of solutions of the given equation?

(6 points for the correct answer; 2 bonus points if you have correctly answered 7 questions among questions 1 through 9.)  Consider the differential equation

10-A (10 points) Consider the initial value problem            

Determine a lower bound for the radius of convergence of series solutions about  for the differential equation