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shannon math

AB
(Triangle w/ Right Angle) A^2 + B^2C^2
area of a squares 2
Area of a Triangle1/2*h*b
(a+b)(a-b)a^2-b^2
a^(1/2)sqrt(a)
a^(b/c)(c root(a))^b
IntegerAny whole number positive or negative including 0
ZeroIs neither negative or positive
Integer + Integer or Integer - IntegerInteger
Integer/IntegerMay or may not result in an integer
1/205% or .05
1/119(1/11)% or .09 repeating
10% or .11/10
1/911(1/9)% or .11 repeating
1/812(1/2)% or .125
1/616(2/3)% or .166 repeating
1/520% or .2
25% or .251/4
1/333(1/3)% or .33 repeating
1/250% or .5
3/1030% or .3
40% or .42/5
60% or .63/5
7/1070% or .7
4/580% or .8
9/1090% or .9
3/837(1/2)% or .375
5/862(1/2)% or .625
7/887(1/2)% or .875
2/366(2/3)% or .66 repeating
5/683(1/3)% or .833 repeating
What number n is x percent greater than yn=y+((x/100)*y)
What number n is x percent less than yn=y-((x/100)*y)
Percent Increase(Amount of increase/Original whole)*100%
Percent Decrease(Amount of decrease/Original whole)*100%
X% of y(x/100)*y
Final as percent of original(Final/Original)*100%
Percent Change(Difference/Original)*100%
x%x/100
MedianEven terms = average of 2 middle terms Odd terms middle value
ModeNumber that appears most frequently, you can have more than 1
RangePositive difference between the largest and smallest term
Standard Deviationsqrt((1/N)*((x1-mean)^2+ (x2-mean)^2+...+(xN-mean)^2))
Average of a set of consecutive integersequals its median
average of a series of consecutive or evenly spaced integersequals (first term + last term)/2
Sum of values (Consecutive integers)average value* number of values
Number of terms of consecutive integersLargest number - smalles number + 1
Even # * Any numberEven
Odd*OddOdd
Even^positive integerEven
Odd^positive integerOdd
Zero isEven
Same (Odd or Even)+/-SameEven
Different (Odd or Even)+/-DifferentOdd
Negative #^odd exponentNegative
Negative #^even exponentPositive
Possible ways to select a small subgroup from a larger group - UnorderedCombinations
Possible ways to select a small subgroup from a larger group - OrderedPermutations
Combination formula = nCk (n choose k)n!/(k!(n-k)!)
Permutation formula = nPkn!/(n-k)!
Number of possible arrangements from n itemsn!
ProbabilityNumber of desired outcomes/Total number of outcomes
Probability of 1 or anotheradd probabilities
Probability of one and another (both)multiply probabilities


Oak Park, IL

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