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Question about Groups : Isomorphism and HomomorphismNote:S4 means symmetric group of degree 4A4 means alternating group of degree 4e is the identity
Is there a group homomorphism $:S4 -> A4, withkernel $ = {e, (1 2)(3 4), (1 3)(2 4), (1 4)(2 3)}?
What is the probability that a randomly selected individual from this population earns less than $60,000 per year? If a randomly selected individual is observed to earn less than $60,000 per year, what is the probability that this person is a man?
What percentage change in the required sample size would this produce?
If the train were announced to be running thirteen minutes late, how many times would you predict the man next to you would check the time?
The table list data - Average Salaries of Athletes in 1991 and 2001. Use the data points to find a linear function that fits the data and then use the function to predict the average salary in 2005 and 2010.
Let n >= 0 be an integer, and for each 0 R be the function P(x) := the sum from i=0 to n of c_i x^i such a function is known as a polynomial of one variable
Integrating a differential equation given the initial values and exponentiate both sides of the equation for to solve for P(t)
Evaluate formulae for the coefficients -Hint: Use the linear transformation
Application of differentiation and integration on real world problem - Show the cost of running the car air conditioner vs. just rolling down the windows. Irecommend you investigate the google searches on Air conditions fuel efficiency car and Ai..
Timmy enjoys playing old-fashioned video games. He found 3 game systems on eBay and wants to purchase a Nintendo game system, an Atari game system, and a Sega arcade game system.
Only two pupils take all the four subjects. Draw a Venn diagram and use it to find how many pupils take neither Physics nor Chemistry.
Standard normal probabilities. According to an article in The New York Times, 19.3% of New York City adults smoked in 2003. Suppose that a survey is conducted this year.
Solving probability problems based on empirical rule
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