Common math Formula's 2 Flashcards
what can you do if the signs are the same for an inequality
Add them shits to eliminate if the signs are the same
What do you do to an inequality if the you are multiplying or dividing by a negative number
FLIP THE SIGN YA BISH
how do you multiply fractions
(toptop)/(bottombottom)
how do divide fractions
multiply by the reciprocal AKA flip and multiply
Extreme tails (out liar numbers) affect what more: the mean or the median?
Mean
What are the two roots in quadratic Foilng/unfoiling
add to the first one, multiply to the second one
how do you calculate the probability of multiple events
multiply their respective probabilities
How do you calculate probability of more than one way to win
add up their probabilities
normal distribution - where are the mean and median?
mean and median are both in the middle
Normal distribution: What are the three ticks marks on either side of the mean/median
34, 13.5, 2.5
Third side rule for triangles
The legnth of any side of a triangle must be greater than the difference (subtraction) between the other two sides and less than the sum (addition) of the other two sides
Standard deviation: if you multiple all numbers in a set by X - what happens to Standard deviation
SD ALSO gets multiplied by X - [bc spacing between the numbers gets multiplied by X].
- also, mean gets multiplied by X
- add or subtracting does nothing to any of the information
If all numbers in a set are identical, then what is the Standard deviation? Why?
SD=0, bc SD is a measure of the distance between data points in a set
How does the following impact Standard Deviation: Lots of points close to mean vs lots of points far from the mean
Close to mean = small SD
Far from mean = large SD
SD: if you have only summary data (mean and SD) and you add new values - how do you calculate the SD?
you cannot calculate the SD
SD: Which two numbers added to an existing data set would decrease the Standard deviation the most?
Adding data points that are equal to the mean (as they are both zero away from the mean, as such decrease the SD the most)
(-#)^[even #] = what generally
(Negative number) ^ (Even number) = ALWAYS equals a positive number
(a/b)^[-c] can be written as:
(b/a)^[+c]
What makes a fraction “undefined”
a denominator of ZERO
formula for concentration
concentration:
[(amount of solute)/(total solution amount)]*100
Formula for total degrees of angles within a polygon
180(N-2), where N is number of sides
Probability ALWAYS has to be a measure between what range of digits?
ZERO and ONE
*therefore anything above one is always a greater number than the probability of a given event, even if it is 100% likely (bc that equals a probability of 1)
Combination formula and equivalent
nCr (n = total pool; C=”Choose”; R=number of people we are choosing)
nCr = nC(n-r)
when order doesn’t matter in a combination what do you do?
divide by R! (RE factorial)
Rr-1etc
the sum of any two sides of a triangle must be _____? than the third side.
the sum of any two sides of a triangle must be greater than the third side.
Slope equation
Rise/Run (Y/X)
rate formula
distance/time
