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q give basic diffrence between integers and rational numbersansintegersthe integers are positive and negative whole numbersthe integers are closed
q what are whole numbersthe set of whole numbers is the set of natural numbers with the zero thrown in01234hint some people remember that the whole
q define natural numbersansthe natural numbers also called the counting numbers are the numbers that you naturally use for counting1234the set of
q scaling and translation for equationsansif you have an equation in the form y fx if youre not familiar with functions that just means having y on
q how to left shifts and right shifts a graphanswhen youre translating shifting a graph its easy to get subtracting and adding mixed up it seems
explain angle pairs adjacent angle pairstwo angles are adjacent if they1 have the same vertex2 share a common side 3 have no interior points in
prove the subsequent boolean expressionxory and xory and xorz xandzans in the following expression lhs is equal to xoryandxor yandx or z
give the proofs in mathematics 1 two-column deductive proofproofstatements
what is converse inverse and contrapositivein geometry many declarations are written in conditional form if then for example if two angles are right
let r be the relation on the set of ordered pairs of positive integers such that a b c d isin r if and only if ad bc determine whether r is an
q how to collecting and interpreting dataanscollecting and interpreting data is the most important job of a statistician there are many types of
what is deductive reasoning geometry is based on a deductive structure -- a system of thought in which conclusions are justified by means of
prove that if x is a real number then 2x x x frac12 ans let us consider x be any real number it comprises two parts integer and fraction with no
what are the basic elements of reasoning there are four basic elements used in geometry if we say studying geometry is like building a house then
assume e is the event that a randomly generated bit string of length 4 starts with a 1 and f is the event that this bit string consists of an even
give the definition of logarithms a logarithm to the base a of a number x is the power to which a is raised to get xin equation formatif x ay then
q illustrate exponential distributionansthese are two examples of events that have an exponential distributionthe length of time you wait at a bus
q explain binomial distributionansthe binomial distribution occurs when you are considering the probability function of a binomial experimentbinomial
evaluating a functionyou evaluate a function by plugging in a numberfor example to evaluate the function fx 3x2 x -5at x 10 you plug in a 10
what is a function anyway domain rangenext time youre at a fast-food restaurant take a look at the price list it may look something like this
solving a system of 2 equations using the additionsubtraction methodto solve a system of linear equations using the additionsubtraction method both
what is nucleus it is the type of an atom where whole mass of the atom is supposes to be
how is energy transformed in windmillsessentially what occurs is that as the energy from the wind rotates the vanes of the mill coils of wire move
describe the system with 3 variables this is an example of solving a system of equations using the substitution method warning you will not
how to solve systems of equations theres a simple method that you can use to solve most of the systems of equations youll encounter in calculus its