How many distinct permutations can be formed using the letters of the word DEGREE?

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 probability that more than 2 have used an online dating site? 

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 probability that at most 5 have used an online dating site? 

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.

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:

For the following 6th order equation    its characteristic equation          has solutions    

(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?

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