Search
Create
Log in
Sign up
Log in
Sign up
Algebra 2 Regents Review 3
STUDY
Flashcards
Learn
Write
Spell
Test
PLAY
Match
Gravity
Terms in this set (45)
Explicit Arithmetic
An=a1+d(n-1)
d=an-a(n-1)
Explicit Geometric
An=a1*r^(n-1)
r=an/a(n-1)
Recursive Arithmetic
An=A(n-1)+d
A1=
Recursive Geometric
An=A(n-1)*r
A1=
Series Arithmetic
Sn-n/2*(A1+An)
Series Geometric
Sn=a1(1-r^n)/1-r
Sn=a1-a1*r^n/1-r
f(kx)=
horizontal compression, vertical stretch
f(1/kx)=
horizontal stretch, vertical compression
f(-x)=
reflection over x axis
-f(x)=
reflection over y axis
f(x)+k=
vertical shift up
f(x)-k
vertical shift down
f(x+k)=
horizontal shift left
f(x-k)
horizontal shift right
csc(x)=
1/sin
sec(x)=
1/cos
cot(x)=
1/tan
sin graph starts at the
midline
cos graph starts at the
max/min
(Asin(Bx)+C) |A|=
amplitude, how much to multiply the function by
(max-min y value)/2
(Asin(Bx)+C) B=
# of cycles from 0-2π
(Asin(Bx)+C) C=
midline
BP=
2π
P=
Period (2π/B)
B=
Frequency (B/2π)
On unit circle, sin=
y
On unit circle, cos=
x
Compounded Quarterly
A(t)=P(1+r/n)^nt n=times compounded yearly, ex.4 for quarterly r=rate in decimal form P=principal
Compounded Continuously
A(t)=Pe^rt P=Principal r=rate in decimal form
logb(x)=y
b^y=x
3
Σ=i(i+1)
i=1
20
turning point=
x=-b/2a
Distance Formula
√(y1-y2)^2+(x1-x2)^2
Whats the sin, and cos values of 210 on unit circle
sin=-1/2 cos=-root3/2
P(A|B)
P(A and B)/P(B)
Test for indep P(A|B)
P(A|B)=P(A) OR P(A|B)=P(B) if equal, it's indep
Test for indep P(A and B)
P(A and B)=P(A)*P(B) if they're equal, it's indep
For normally distributed population what percentage lies within one standard deviation?
68%
5% cut-off rule
when you find a probability that is less than 5%, this means we should not accept p to be the true pop proportion. The true pop proportion is closer to the pHAT value. When you have a probability more than 5% we accept p to be the true pop proportion
standard deviation for sample proportions
√p(1-p)/n
Conclusions for Differences in Sample Means
a difference of 0 between sample means is the mean or center of a distribution. This represents that there is no difference in variability for what is being tested between samples. If the observed difference is less than 5 this means that the variability is due to treatment, if its more than 5 variability is due to natural or sampling variability
standard dev for sample means
SD/√n
Margin of error
2SD
Confidence Interval
sample statistic +or- ME
P(A or B)=
P(A)+P(B)-P(A and B)
;