Praxis 5161 Flashcards
Surface Area and Volume of a Sphere
Volume = 4/3 pi r^3
Surface area= 4 pi r^2
What is the probability of selecting x item?
= # of selecting x / total x of items
S 1/x dx =
ln|x|+C
cos^2x-sin^2x =
cos 2x
f(x) = sin x
f’(x)=
f’(x) = cos x
f(x) = cos x
f’(x) =
f’(x)= -sinx
What is an Isosceles Triangle?
A triangle that has two sides of equal lengths.
S cos x dx =
sin x + C
What are supplementary angles?
add up to be 180 degrees
a+b = 180 or 2x+3+x-5 = 180
What are complementary angles?
Two angles are called complementary if their measures add to 90 degrees.
If two triangles are similar triangles, what should we set up to determine the height/base of the triangle?
Set up a proportion
ex: 4/8 =x/6
Area of a sector is given by:
*Sector is always a circle
A= pi r^2 x O/360
If A & B are __ events, the P(AnB)=0. Thus, the addition law becomes :
If A and B are mutually exclusive events, then P(AnB) =0.
Thus, the addition law becomes P(AuB) = P(A) + P(B)
i^0 = i^1 = i^2 = i^3 = i^4 =
i^0 = 1 i^1 = i i^2 = -1 i^3 = -i i^4 = 1
What are complex numbers?
numbers with real parts, imaginary numbers
ex: 1-7i or 1+7i
What are integers?
negative, positive, and zero
ex: -1, 0, 1
What are rationals?
negative, positive, 0, plus mins fractions, decimals
ex: -1/2, 1/2, 0.33, -1, 0, 1
What are real numbers?
(mom)
ex: -1, 0, 1, 1/2, -1/2, pi, e, square root for 2
everything that is not imaginary
What are irrationals?
pi, sqrt 2, e, -sqrt 5
cannot write into fraction, BUT does NOT include i
sin = cos= tan = csc = sec = cot =
sin = O/H cos = A/H tan = O/A csc = H/O sec = H/A cot = A/O
The Binomial Expansion:
(x+y)^2
(x+y)^2= x^2+2xy+y^2
If point A(x1,y1) is the initial point and point B(x2,y2) is the terminal point, a vector, AB, is defined as:
AB=
Robust in statistics:
A test is robust if it still provides in sight into a problem despite having its assumptions altered or violated.
* Range, mean, and standard deviation are very sensitive to outliers.
Since the median is the middle value of an ordered dataset, it is ROBUST to outliers.
The area of a triangle with vertices (a,b), (c,d), and (e,f) is given by:
plus/mins 1/2 |a b 1|
|c d 1|
|e f 1|