Math Formulas Flashcards
Area of circle
πr2
Area of a sphere
4Πr2
Area of a hollow cylinder
2πrh
Area of an Ellipse
πab
Area of triangle
(1/2)bxh
Area of a rhombus
bxh
Area of a rhombus.
(when given the diagonals)
(1/2)axb
Volume of a sphere
V= (4/3)πr3
Volume of a cylinder
Volume of a cylinder= πr2h
Distance
Distance= Velocity x Time
Time
Time= Distance/ Velocity
Average Velocity
Average Velocity= [total distance traveled]/[Total time elasped]
Rules of exponents
MID POINT FORMULAS
DISTANCE FORMULAS
Area of an equilateral triangle
standard deviation
The standard deviation is a measure of the amount of variation or dispersion of a set of values.
step 1: Calculate the mean.
step2: place each individidual value into the formula
Combination
and
Permutation
n= total number of objects
r=how many objects you are taking at a time .
!= multiply with reduces numbers till it reaches to 1.
5!=5x4x3x2x1
nPr
nCr
Variance
Logarithms laws
Binomial probability distribution
The probability that there will be exactly r outcomes out of n trials when the probability of success in each trial is uniformly.
Mutually Exclusive Event
If two events are mutually exclusive, it means that they cannot occur at the same time. For example, the two possible outcomes of a coin flip are mutually exclusive; when you flip a coin, it cannot land both heads and tails simultaneously.
A or B
Conditional Probability
In probability theory, conditional probability is a measure of the probability of an event occurring given that another event has occurred.
Percent(%) increase and Decrease
If X2>X1, THEN D% is positive, representing an increase.
If X21, then D% is negative, representing a decrease.
Combined Work Problems
The total time TTtotal it takes to complete a task is simultaneously being worked on by more than one agent. If, when working alone, the time it takes one agent to complete the task is t1, the time it takes another agent is t2, etc. Then the total time Ttotal is given by the following formula:
1/t1 + 1/t2 + 1/t3 = 1/ttotal
Area of a square
When given a diagonal =d2/2
A= s2
Compound Interest
Compound Interest, on the other hand, means that new interest is based on an amount equal to the principal plus the total are accumulated interest. The amount of interest earned therefore increases each interest period( usually measured by the year).
- Principal (P)= [initial investment, loan] Rate (r)= interest rate*
- time(t)= years A= FINAL AMOUNT OF MONEY*
A= P(1+ r/n)txn
Simple Interest
Simple interest is always based on the amount of the original principal. It thus remains constant for each interest period(usually measured by the year).
Interest= I
Principal= P
Rate= r
Time= t
I= Pxrxt
Pythagorean Triples
(3,4,5)
(5,12,13)
(7,24,25)
(8,15,17)
