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Let I be an ideal of R and let S be a subring of R. prove that I(intersection)S is an ideal of S. ALSO, show by some example that not every ideal of a subring S of a ring R need be of the form I(interesction)S for some ideal I of R.
Independent flips of a coin that lands on heads with probability p are made. What is the probability that the first four outcomes are
Sketch the Graph of y = cosx in the range -Pi
Prepare a research paper on two independent variables
A legislative committee consists of 8 Democrats, 6 Republicans, and 1 Independent. A delegation of 3 is selected to visit a small Pacific island republic-
Rational root theorem and synthetic division - Use the rational roots theorem and synthetic division to find the years the country " broke even" (dept = surplus = 0) from 1990 to 2000.
Calculate the odds ratio.
The points on a plane: A(-3;2) and B(1.5;-3) are included in a parallel right to another one which crosses point at P(-2;-4). The equation of this last right
A feasible solution to an LP problem
Describe the cost C(x), in millions of dollars to inoculate x % of the Canadian population against a particularly virulent strain of flu
Probability that a player's pick wins the grand prize. In a certain lottery, k balls are chosen at random and without replacement from a bin containing N balls numbered 1 through N
Let A be an n × n matrix with eigen values 1, 2, · · · , n. Prove there are (2 n )n! Different matrix S with the property that the length of each column vector of S is 2 such that (S -1 )AS is diagonal.
A random variable defined on all real numbers has a probability density proportional to: c/ X2 + 1. What is c? What is the probability that the random variable lies between 0 and 1?
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