Not Given Flashcards
Equation of a Straight Line
y-y₁ = m(x-x₁)
Line Length
√(x₂-x₁)²+(y₂-y₁)²
Midpoint from 2 Coords
(x₁+x₂)/2, (y₁+y₂)/2
Circle Equation
(x-a)²+(y-b)² = r²
Magnitude of a vector
|a| = √x²+y²
cot^2 x =
cosec^2 x -1
tan^2 x =
sec^2 x - 1
cos2θ =
cos²θ-sin²θ
2cos²θ-1
1-2sin²θ
sin2θ =
2sinθcosθ
1 + tan2θ =
sec2θ
cot2θ + 1 =
cosec2θ
Arc length (radians)
length=rθ
Area of a circle sector (radians)
a=1/2 x r²θ
∫ eˣ dx =
eˣ + c
∫ 1/x dx =
ln(x) + c
P(B|A) =
P(B n A) / P(A)
P(A n B) =
P(A) x P(B|A)
y=f(x) + a
translation (0, a)
y=f(x) - a
translation (0, -a)
y=f(x - a)
translation (a, 0)
y=f(x + a)
translation (-a, 0)
y= -f(x)
reflection in x axis
y=f(-x)
reflection in y axis
y= af(x)
stretch sf a - y axis
y=f(ax)
stretch sf 1/a - x axis
(Independant) P(B|A) =
P(B)
(Independant) P(A|B) =
P(A)
(Independant) P(A n B) =
P(A) x P(B)
(Non-Mutual) P(A u B)
P(A) + P(B) - P(A n B)
(Mutual) P(A u B)
P(A) + P(B)
Population
Whole set of items that we’re interested in
Census
A collection of every data point in the population
Sample
A subset of the population intended to represent it
Parameter
A number that describes the entire population
Statistic
A number taken from a single sample
Sampling Frame
A list of people/items forming a population from which a sample has been taken
