Alg/Geom
Stat and Prob
Vocab
Trig
Random
100
Question: What is the formula for the area of a circle?
A=πr2
100
What is the probability of rolling an even number on a fair six-sided die?
3/6 = 1/2
100
What is cardinality?
The number of elements in a set.
100
This is the longest side of a right triangle.
Hypotenuse
100
Whos the greatest superhero ever???
200
What is the quadratic formula?
x=(−b±sqrt(b^2−4ac))/ (2a)
200
If P(A)=0.72, find P(A')
P(A')=.28
200
What symbol means “is congruent to”?
≅
200
What does trigonometry study?
Relationships between sides and angles of triangles
200
Is this statement always, sometimes, or never true?
Squaring a number makes it larger.
Sometimes!
3^2 = 9 > 3
but (1/2)^2 = 1/4 < 1/2
300
list 5 digits of pi
3.1415926535 8979323846 2643383279
300
The data set is 5, 6, 6, 7, 21.
Which measure of center would best represent the data?
Median, because 21 is an outlier.
300
This is the set of all possible input values of a function, ___.
This is the set of all possible output values of a function, ___.
Domain and range
300
What does sin(theta), cos(theta), and tan(theta) equal to according to SOH-CAH-TOA?
sin(theta)= (opp)/(hyp)
cos(theta)= (adj)/(hyp)
tan(theta)= (opp)/(adj)
300
Line A has equation
y=−1/2x+7
What slope would a line perpendicular to Line A have?
Negative reciprocal:
2
400
Given
f(x)=2x+3
and
g(x)=x^2−1 ,
find
(f∘g)(2) .
f(g(x))=2(x^2−1)+3
=2x^2+1
Plugging in 2 gives us 9
400
A normal distribution has mean 100 and standard deviation 15. Between what two values would you expect about 68% of the data to lie?
85 to 115
400
What is the value that divides an ordered data set into two equal halves?
Median
400
Complete the exact value:
cos45∘=
sqrt(2) / 2
400
A line passes through (5,−1).
and (−3,7)
Find its equation.
First find the slope:
m=(-1-7)/(5-(-3))=-8/8=−1
Use:
y=mx+b
7=−(−3)+b
7=3+b
b=4
Therefore: y=−x+4
500
Evaluate:
8 +3{14-[2^3 +5(4-2)]} = ((36)/(2(5-2)) +(-3)^2
Answer: -1
500
Give me an example of a independent and dependent events.
....
500
What does it mean for two events, P(A) and P(B), to be mutually exclusive? (In symbols)
They can't happen at the same time.
P(A∩B)=0
500
Without a calculator, evaluate:
(sin60∘)/(cos60∘)(sin60∘)/(cos60∘)
((sqrt(3)/2)/(1/2))
=sqrt(3)
500
A rectangle has perimeter 50 units.
Its length is 5 units greater than its width.
Find its dimensions.
Let width =x.
Length:
x+5
Perimeter:
2x+2(x+5)=50
4x+10=50
4x=40
x=10
So:
Width=10, Length=15