Probability
What is conditional probability?
True or False: A relation is only a function when every x has exactly one y.
True
A system of two equations yields infinitely many solutions. What do you know about the lines?
They are coinciding. (same line)
What must be true in order to multiply two matrices?
Columns of the first must match rows of the second.
Cosecant is the reciprocal of which basic trig function?
Sine
The probability of choosing an S or vowel from the letters in the word 'CHRISTMAS"
4/9
Term that represent all possible x-values of a function
Term that represents all possible y-values of a function
Domain
Range
Name three methods that can be used to solve systems of equations.
Graphing, matrices, substitution, elimination
How do you know when a square matrix will have an inverse?
If the determinant is nonzero
Find the distance between the point (3,3) and (-1,-1).
4sqrt(2) or 5.7 units
The probability of rolling a dice two times and getting an even number and then and odd number.
3/6 * 3/6 = 9/36 = 1/4
List the transformations of the function:
f(x) = -3(x-5)2+1
Reflected over the x-axis
vertically stretched by 3
translated right 5
translated up 1
An electrician charges $15 for a house call plus $40 for every hour of service. Write an equation to represent this in slope-intercept form.
y = 40x + 15
Solve by factoring:
2x2+18x = 0
x = {0, -9)
The 60 degree angle is across from which side of the special right triangle?
xsqrt(3)
The probability of randomly selecting 'Tuesday' given that you know the chosen day starts with a 'T' or 'S'.
1/4
The domain and range of the given function:
f(x) = -x2+4
D: (-infinity, infinity)
R: (-infinity, 4]
Solve the system:
y = -2x +5
-3x + y = 5
(0,5)
Solve by any method:
x2+6x-17 = -1
x = {-8, 2}
Joe is looking up at the top of a building with a 42 degree angle of elevation. If he is standing 23ft from the base of the building, how tall is the building?
20.7 ft
Ms. Rogers has 33 students, 13 are athletes and 9 are in band. Three are an athlete and in band. What's the probability of choosing a student in band, given that they are NOT an athlete?
6/20 = 3/10
f(x) = x2 - 18 . f(x) = 7, find x.
x = {-5, 5}
There are 13 animals in the barn. Some are chickens and some are pigs. There are 40 legs in all. How many of each animal are there?
6 chickens and 7 pigs
A toy rocket is launched into the air and falls to the ground with the function(t=time, h=height in feet):
h(t)= -16t2+64t+80
How high did the rocket fly?
144ft
cosX= 8/17. Find cscX
CscX= 17/15