SALES DIGESTS (2013 2014)
G.R. 124791
ATTY. RAY PAOLO SANTIAGO
properties for the aggregate amount of P1,8000,000 with the following
conditions:
CARCELLER vs. COURT OF APPEALS and SIHI
February 10, 19
Neuroevolution in Mario Kart
February 7, 2017
Completed by
Magd Bayoumi
James Boyd
Vivian Kirby
North Carolina School of Science and Math
We have neither given nor received unauthorized assistance on
The Art Gallery
Magd Bayoumi, James Boyd, Rohan Reddy
October 6, 2016
Summary
The curator of a watercolor exhibit has 50 paintings that theyd like to showcase in
their gallery. The challenge is changi
MATH355 Discrete Math / Quiz 6 / 2 Mar 2015
Name KE. 2 12 points
1. Base b numeration systems. Convert (2035),ight to base ten. Show work.
2.33+ o-gzv 392W 5.2 s was + o -+ m + 5 = 6053)
2. Integer di
MATH355 Discrete Math / Quiz 8 / 1 Apr 2015
Name K E"? 12 points Box
This is a take-home quiz.
0 It is due at the beginning of class on Monday, April 6.
oYou'may use your own class-notes, textbook, ot
MATH355 Discrete Math / Quiz 41/ 11 Feb 2015
Name - K5 Y 12 points Box
1. (7 points) Congruence modulo m
a. List three positive integers and three negative integers that are congruent to 5 modulo 8.
w
MATH355 Discrete Math / Quiz 1 / 12 Jan 2015
Name x_< g 2 12 points
1. (4 points) Write the converse and contrapositive of the following conditional proposition:
If n2 is even, then H is even.
convers
MATH355 Discrete Math / Quiz 9 / 13 Apr 2015
Name K E 2 12 points
1. (8 points) Complete the denitions, where A and B are sets.
a.Afunctionf:A > Bis one-to-one ifand only if. . V15) e A) 430g) :5?th A
MATH355 Discrete Math / Quiz 3 / 28 Jan 2015
Name 5 E z 12 points Box
1. (3 points) Write the negation of each proposition.
a.p>q P A?-
b. All prime integers are odd. meal/e 15 at. Prime ~Hmi [5 even
MATH355 Discrete Math / Quiz 7 f/ 25 Mar 2015
Name K as; 12 points Box
1. Complete the denitions, where A and B are sets.
a. A is a subset of B, denoted A 5 8 , if and only if . . .
For sevw-y %, iva/
#2#
MATH355 Discrete Math / Quiz 2 / 14 Jan 2015
Name &5 z 12 points
1. (2 points) Write the contrapositive of the following conditional proposition:
If a matrix A is invertible, then det(A) = 1.
Di ,
Proofs
1. Choose Method
a. Let x be a element with a certain property something is true.
2. Direct
a. Assume p then q.
3. Contraposition
a. We will use the contrapos
Cardinality
Finite: If there are exactly n distinct elements in S where n is non negative
Same cardinality: one to one corr
Countable: finite or same cardinality
Div & Mod
Divides (Divisor): Let a&b be integers where a=/= 0. We say a divides b iff b=ak for
some integer k.
Modulo: Let a&b be integers and let m be a posi
Worksheet # 1: Review
1. (MA 113 Exam 1, Problem 1, Spring 2007). Find the equation of the line that passes through (1, 2) and is parallel to the line 4x + 2y = 11. Put your answer in y = mx + b form.
CHAPTER 2: METHODS OF PROOF Section 2.1: BASIC PROOFS WITH QUANTIFIERS Existence Proofs Our first goal is to prove a statement of the form (x) P (x). There are two types of existence proofs: Construct
Question 1
4 out of 4 points
Five
measurements are
taken and are:
59.5", 61.33",
60.55", 61.00",
59.8". Find the
likely size of the
chance error in a
single
measurement.
Answer
Selected Answer:
0.694
die is tossed 5 times. Find the probability that none of the rolls show 4 or more spots.
Answer
Selected Answer:
a.
1/32
Correct Answer:
a.
1/32
Question 2
4 out of 4 points
Find the chance
that if
a certain town, there are 40,000 registered voters, of whom 15,000 are Republicans. A survey
organization is about to take a simple random sample of 1,200 registered voters. Find the
expected value f
Math 170 Test #2 Review
DIRECTIONS: Show all steps leading to your answers, including any intermediate results obtained
using a graphing utility.
f ( x + h) f ( x )
1) Use the definition of a derivati