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Let A be a set, and there is a empty set.(a) Prove that empty set is a relation on A.(b) Is empty set a reflexive relation? Prove or disprove.(c) Is empty set a symmetric relation? Prove or disprove.(d) Is empty set a transitive relation? Prove or disprove.
Change this to the average probability of tossing heads by putting the average number of heads in a fraction over the number of coins you used in your tosses.
If f is a reimann integrable function on [a,b], and if [c,d] is a subset of [a,b], prove that f is reimann integrable on [c,d] hint: if P is any partition of [c,d], P can be extended to a partition P* of [a,b] with ||P*||
For IEEE 754 single precision floating point, write the hexadecimal representation for -1.0
To prove that the minimal spanning tree in graph is unique and Decide whether you think the claim is true or false and give a proof of either the claim or its negation.
What is the probability of getting an A on the paper? What is the probability of getting an A on the exam?
Find which two variables have the weakest strength of relationship?
Prove Let D be a nontrivial connected digraph. Then D is Eulerian if and only if od(v)=id(v) for every vertex v of D. Od means the outdegree of a vertex v of a digraph D. (is the number of vertices of D that are adjacent from v.
The volume of a rectangular prism is given by the formula V = lwh. What are the general dimensions of the prism if the volume is 6x3 +9x2 - 6x? You will not have an exact dimension but rather an expression that represents them.
James borrows $12,000 for equipment so that he could do some of his personal training work in his garage. He agreed to repay $13,200 after 300 days. Find the amount of interest and the interest rate.
If the annual proportion of erroneous income tax returns filed with the IRS can be looked upon as a random variable having a beta distribution with α= 2 and β = 9,
Find the average rate of change from x=2 to x=5. Find the derivative f'(x) from first principles, by setting up the difference quotient, (f(x+h)-f(x))/(h) and finding lim h->0 (f(x+h)-f(x))/(h)
State Euler's Circuit Theorem. Explain why this theorem should be true and explain Cantor's Diagonalization Argument. Give examples and explain what this argument was used for.
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