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
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
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
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 o
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 informa
(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 accessib
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 no
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 f
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
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 order
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
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 Nati
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 tra
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 wa
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 tra
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
Tuesday, November 11, 2014
9:58 AM
lec 17 Page 1
Tuesday, November 11, 2014
10:11 AM
lec 17 Page 2
Tuesday, November 11, 2014
10:21 AM
lec 17 Page 3
Tuesday, November 11, 2014
10:31 AM
lec 17 Page 4
T
Review for test 2
1. Solve following system of equations
a.)
b.)
5x y + z = 29
4x + 2y 3z = 28
x 3y + 2z = 5
3x + 3y + z = 6
x 3y + 2z = 5
8x 2y + 3z = 35
2. Graph following inequalities and write int
Thursday, November 13, 2014
10:06 AM
Lec 18 Page 1
Thursday, November 13, 2014
10:14 AM
Lec 18 Page 2
Thursday, November 13, 2014
10:21 AM
Lec 18 Page 3
Thursday, November 13, 2014
10:32 AM
Lec 18 Pag
Thursday, November 6, 2014
10:02 AM
lec 16 Page 1
Thursday, November 6, 2014
10:10 AM
lec 16 Page 2
Thursday, November 6, 2014
10:16 AM
lec 16 Page 3
Thursday, November 6, 2014
10:25 AM
lec 16 Page 4
Review for test 3
1. Simplify as much as possible and write in positive rational exponents:
p
3
5 2
7
( x3 y 5 )35
(x 8 x 2 ) 7
5
6
( 2ab
3c )
3
25
a3
37
b
3
x4
2
3
1
y2
2. Simplify as much as
Tuesday, October 14, 2014
10:42 AM
New Section 1 Page 1
Tuesday, October 14, 2014
10:49 AM
New Section 1 Page 2
Tuesday, October 14, 2014
10:57 AM
New Section 1 Page 3
Tuesday, October 14, 2014
11:05
Thursday, November 6, 2014
10:02 AM
lec 16 Page 1
Thursday, November 6, 2014
10:10 AM
lec 16 Page 2
Thursday, November 6, 2014
10:16 AM
lec 16 Page 3
Thursday, November 6, 2014
10:25 AM
lec 16 Page 4