MATH 1111
REVIEW UNIT 3
Instructor: S. Weltlich
Section 3.1, 3.2, 3.5, 3.6, 4.1
Provide the missing information.
1) Given f (x) = a(x - h)2 + k (a
0), the vertex of the parabola is the point
2) Given f (x) = a(x - h)2 + k, if a < 0, then the parabola open
Selamawit Bekele
Mrs. michelle kassora
English 1102
April 21, 16
Ethnicity
Ethnicity is when a group of people whose members identify with each other on their
common nationality or shared cultural traditions. Instead they used race card. Race is when
they
1.
Who were the Belligerents, what did they do, why did
they do it, and when?
2.
Key player historical figures/country?
3.
Why did the US fight in the war?
4.
What was the Atlantic Charter?
5.
What was the Natt Socialist German Workers Party?
6.
What did
Selamawit Bekele
Mrs. michelle kassora
English 1102
April 21, 16
Ethnicity
Ethnicity is when a group of people whose members identify with each other on their
common nationality or shared cultural traditions. Instead they used race card. Race is when
they
Selamawit Bekele
Mrs. Michelle kassorla
English 1102
April 20, 16
Papago
Throughout the story, "Only Approved Indians Can short story Made In the USA," we
See Papago Indians. Papago is a group of Native Americans who grow up primarily in
The Sonoran Deser
Spring 2016 2nd Half
The Legal Environment of Business BUSA 2106
Georgia State University - Perimeter College
Course Syllabus
Assistant Professor Leslie Ann L. Dunn, MBA, J.D.
Faculty email:
LeslieAnn.Dunn@gpc.edu
770-235-1247 business cell; texts welcome
SOCI 1101/Introduction to Sociology
Sections: 205; 207
CRNs: 33162; 33252
Perimeter College @ Georgia State University
Dunwoody Campus/Dunwoody, Georgia
instructor:
semester:
office:
campus phone:
e-mail:
Course Syllabus
Dr. Joseph A. Cannon, Jr.
Spring 2
Functions and Relations
Section 2.3
Determine Whether a Relation is a Function
Definition of a Relation:
A set of ordered pairs (x, y) is called a relation in x and y.
The set of x values in the ordered pairs is called the domain of the relation.
The set
3 Instructor: S. Weltlich
Section 3.1, 3.2, 3.5, 3.6, 4.1
Provide the missing information.
1) Givenf(x) = a(.r - 11)": + k (a 9% 0), the vertex of the parabola is the point
2) Given f (x) = (:(x #1)2 + k, if a < 0, then the parabola opens
3) The graph off
Quadratic Functions and Applications
Section 3.1
2
The graph of the quadratic function f ( x ) = ax + bx + c (a 0) is a parabola.
The parabola opens upward for a > 0 and opens downward for a < 0
The function may be written in vertex form as f ( x ) = a (
Linear Equations in Two Variables and Functions
Section 2.4
Graph Linear Equations in two Variables
Standard form of the equation of line: Ax + By = C where A and B are real numbers and A and B are not both zero.
Graph the equation and identify the x- and
(b) There is a positive probability that on any given year, the professor will receive
the highest ranking, namely 1/m. Therefore, state m is accessible from every other
state. The only state accessible from state m is state m itself. Therefore, m is the
is independent from K and that X is uniformly distributed. Indeed, conditioned on
the event K = k, we know that there was a single arrival in the interval [k, k + 1].
Conditioned on the latter information, the arrival time is uniformly distributed in the
CHAPTER 7
Solution to Problem 7.1. We construct a Markov chain with state space S =
cfw_0, 1, 2, 3. We let Xn = 0 if an arrival occurs at time n. Also, we let Xn = i if the
last arrival up to time n occurred at time n i, for i = 1, 2, 3. Given that Xn = 0
We have E[stay of 2nd student] = 30, and, using the memorylessness property of the
exponential distribution,
E[stay of 1st | stay of 1st 5] = 5 + E[stay of 1st] = 35.
Also
P(1st student stays no more than 5 minutes) = 1 e5/30 ,
P(1st student stays more th
Thus if you are faced with the choice of playing for given fee f or not playing at all,
and your objective is to make the choice that maximizes your expected net gain, you
would be willing to pay any value of f . However, this is in strong disagreement wi
whether we start with a US or a foreign car. Thus, the desired probability is 2/
which coincides with our earlier answer.
20
10
,
Solution to Problem 1.55. We count the number of ways in which we can safely
place 8 distinguishable rooks, and then divide t