Not Given Flashcards
(36 cards)
1
Q
Equation of a Straight Line
A
y-y₁ = m(x-x₁)
2
Q
Line Length
A
√(x₂-x₁)²+(y₂-y₁)²
3
Q
Midpoint from 2 Coords
A
(x₁+x₂)/2, (y₁+y₂)/2
4
Q
Circle Equation
A
(x-a)²+(y-b)² = r²
5
Q
Magnitude of a vector
A
|a| = √x²+y²
6
Q
cot^2 x =
A
cosec^2 x -1
7
Q
tan^2 x =
A
sec^2 x - 1
8
Q
cos2θ =
A
cos²θ-sin²θ
2cos²θ-1
1-2sin²θ
9
Q
sin2θ =
A
2sinθcosθ
10
Q
1 + tan2θ =
A
sec2θ
11
Q
cot2θ + 1 =
A
cosec2θ
12
Q
Arc length (radians)
A
length=rθ
13
Q
Area of a circle sector (radians)
A
a=1/2 x r²θ
14
Q
∫ eˣ dx =
A
eˣ + c
15
Q
∫ 1/x dx =
A
ln(x) + c
16
Q
P(B|A) =
A
P(B n A) / P(A)
17
Q
P(A n B) =
A
P(A) x P(B|A)
18
Q
y=f(x) + a
A
translation (0, a)
19
Q
y=f(x) - a
A
translation (0, -a)
20
Q
y=f(x - a)
A
translation (a, 0)
21
Q
y=f(x + a)
A
translation (-a, 0)
22
Q
y= -f(x)
A
reflection in x axis
23
Q
y=f(-x)
A
reflection in y axis
24
Q
y= af(x)
A
stretch sf a - y axis
25
y=f(ax)
stretch sf 1/a - x axis
26
(Independant) P(B|A) =
P(B)
27
(Independant) P(A|B) =
P(A)
28
(Independant) P(A n B) =
P(A) x P(B)
29
(Non-Mutual) P(A u B)
P(A) + P(B) - P(A n B)
30
(Mutual) P(A u B)
P(A) + P(B)
31
Population
Whole set of items that we're interested in
32
Census
A collection of every data point in the population
33
Sample
A subset of the population intended to represent it
34
Parameter
A number that describes the entire population
35
Statistic
A number taken from a single sample
36
Sampling Frame
A list of people/items forming a population from which a sample has been taken
