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Show that if 7 integers are selected from the first 10 positive integers there must be at least 2 pairs of these integers with the sum 11
Is the conclusion true if 6 integers are selected instead of 7
How many numbers must be selected from the set {1,3,5,7,9,11,13,15} to guarantee that at least one pair of these numbers add up to 16.
How would I solve the characteristic equation for B and show that the eigenvalues are 0, 2 and 4? For each eigenvalue, how would I find a corresponding eigenvector?
Probabilities, A survey of MBA students obtained the following data on "student's first reason for application to the school in which they matriculated".
For this module you will design some simple digital circuits based on Boolean expressions. Draw circuits that implement the following Boolean expressions using some combination of AND, OR, NOT, NAND, and NOR gates.
At the first tri-city meeting, there were 8 people from town A, 7 people from town B, and 5 people from town C
Application of differential calculus in economics: Profit, Cost and Revenue function - What production level maximizes profit?
Construct the green's function that satisfies xG''-(2x+1)G'+(x+1)G= ?(x-s), G(0,s)=G(1,s)=0
Systems of equations can be solved by graphing or by using substitution or elimination. What are the pros and cons of each method? What circumstances would cause you to use a different method?
Confidence interval for population proportion of drug test.
A bag contains 10 red, 12 green, and 8 yellow marbles. Assuming that all marbles are equally likely to be picked from the bag
Please solve the following system of equations using both of these methods (solve once using substitution and once using elimination):
Important information about Probability and Statistics Find the probability distribution of the value x. mean , variance and standard derivation
What three variables are negatively related to competence
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