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q probability of independent eventsansconsider these two events my name is shirleythe rain is fallingare these events related to each
prove that a simple graph is connected if and only if it has a ning tree ans first assume that a simple graph g has a ning tree
how to multiplying rational expressions to multiply fractions or rational expressions you must multiply the numerators and then multiply the
explain adding rational expressions with different denominatorswhen you add or subtract fractions or rational expressions that have different
states the negation of the statement forallx existy xy 1 so that no negation precedes a quantifierans the negation of the following statement is
adding rational expressions with common denominatorsto add or subtract fractions or rational expressions with common denominators all you do is add
about zeros in the denominator of rational expressionsone thing that you must be careful about when working with rational expressions is that the
how to solve inequalities now that you have learned so much about solving equations youre ready to solve inequalitiesyou might think that since an
give an equations with the variable on both sides many equations that you encounter will have variables on both sides some of these equations will
what is identities and contradictions look at this equationx 1 1 xit happens to be true always no matter what the value of x try it out what if
define symmetric asymmetric and antisymmetric relations anssymmetric relationa relation r illustrated on a set a is said to be a symmetric
prove that the digraph of a partial order has no cycle of length greater than 1assume that there exists a cycle of length n ge 2 in the digraph of a
finding the equation of a line given a slope and a point find the equation of a line with slope m 2 which passes through the point -1 -3solution use
q find the number of ways three letter words can be chosen from the alphabet if none of the letters can be repeatedsolution there are 26 ways of
how many ways can 4 dvds be arranged on a shelfsolutionthere are 4 ways to choose the first dvd 3 ways to choose the second 2 ways to choose the
q what is factoriala factorial is a number with a factorial sign after it5 is read five factorial3 is read three factorialthe factorial of a natural
a speaks truth in 80 of the cases and b speaks truth in 60 of the cases find out the probability of the cases of which they are possible to
how to dealing with exponents on negative bases exponents work just the same way on negative bases as they do on positive ones-20 1 any number
explain how to distribute simplifying expressionsthe distributive law states that for all numbers a b and cab c ab acwhat does this mean in plain
example suppose your football team has 10 returning athletes and 4 new members how many ways can the coach choose one old player and one new
what is order of operations simplifying expressionskevin gives don directions to his house go left 3 blocks and then go right 2 blocks don wasnt
write prims algorithm ans prims algorithm to find out a minimum ning tree from a weighted graph in step by step form is given below let
prove that a tree with n vertices has n - 1 edges ans from the definition of a tree a root comprise indegree zero and all other nodes
find out the number of ways in which 5 prizes can be distributed among 5 students such that a each student may get a prizeb there is
what is equivalence relation prove that relation congruence modulo equivmod m is an equivalence relation ans a relation r illustrated