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Problem:Note: | | is suppose to denote a matrix
If R =
|S S||0 S|
and A =
|0 S||0 0|
, S any ring, show that A is an ideal of R and describe the cosets in R/A
Draw a tree diagram that illustrates the following. Three-fifths of kindergarten children are bussed to school, while two-fifths of the first to fifth graders are bussed.
FInd the probability that exactly 2 will be defective
Suppose you are going to flip a coin once. What is the set of possible outcomes for this? Suppose you are going to flip a coin twice. What is the set of possible outcomes for this?
Poisson Kernel and Harmonic Function, Let P_r(t)=R((1+z)/(1-z)), z=re^it be the Poisson kernel for the unit disc |z|
An archer has probability 0.3 of hitting a certain target. What is the probability of hitting the target exactly two times in four attempts?
Construct an explicit deformation retraction of the torus with one point deleted onto a graph consisting of two circles intersecting in a point, namely, longitude and meridian circles of the torus.
Explain how you decide whether it is easier to solve a system by substitution or the elimination method. Response should be detailed and include an example
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
Transportation problem: Cost minimization, Three quarries produce lime which is then shipped to five warehouses
Using the quadratic equation x2 - 6x + 8 = 0, perform the following tasks: Graph the function using the equation in part a. Explain why it is not necessary to plot points to graph when using y = a (x - h) 2 + k.
In the game of bridge, each of 4 players is dealt 13 cards. If a certain player has no aces, find the probability that that person's partner has:
Probability of Defective Resistors: DeMoivre-Laplace Theorem, A manufacturer of electronic equipment buys 900 resistors for which the probability of any single resistor being defective is p = 0.01.
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