Question

The domain for the first input variable to predicate T is a set of students at a university. The domain for the second input variable to predicate T is the set of Math classes offered at that university. The predicate T(x, y) indicates that student x has taken class y. Sam is a student at the university and Math 101 is one of the courses offered at the university.

Give a logical expression for each sentence. Please provide some explanation of how you got the answer

(a) Sam has taken Math 101.

(b) Every student has taken at least one math class.

(c) Every student has taken at least one class besides Math 101.

(d) There is a student who has taken every math class besides Math 101.

(e) Everyone besides Sam has taken at least two different math classes. (f) Sam has taken exactly two math classes.

Answer #1

(a) Sam has taken Math 101.

(b) Every student has taken at least one math class.

(c) Every student has taken at least one class besides Math 101.

(d) There is a student who has taken every math class besides Math 101.

(e) Everyone besides Sam has taken at least two different math classes.

(f) Sam has taken exactly two math classes.

**If you have any doubts reply in here i will
answer.Please rate the answer.Thank you**

Discrete Math
Most important is c) and e) and f)
Statements with nested quantifiers: variables with
different domains.
The domain for the first input variable to predicate T is a set
of students at a university. The domain for the second input
variable to predicate T is the set of Math classes offered at that
university. The predicate T(x, y) indicates that student x has
taken class y. Sam is a student at the university and Math 101 is
one...

Convert the following givens into formal predicate logic.
Define predicates as necessary. Then, negate the predicate
sentence. Push all negations to the closest terms
a) There are at least two people who everyone knows. Let the
domain be people.
b) Every student takes at least two classes. Let the domain be
people and classes.
c) Someone is left handed and someone is tall, but no one is
both. Let the domain be people
d) All students know each other. Let...

Convert the following givens into formal predicate logic. Define
predicates as necessary. Then, negate the predicate sentence. Push
all negations to the closest terms
a) There are at least two people who everyone knows. Let the
domain be people.
b) Every student takes at least two classes. Let the domain be
people and classes.
c) Someone is left handed and someone is tall, but no one is
both. Let the domain be people
d) All students know each other. Let...

Suppose the domain of the propositional function P ( x,
y ) consists of pairs x and
y, where x is a, b, c, or
d and y is e, f, or g.
Write out the following propositions using disjunctions,
conjunctions, and negations.
∃x P ( x, g )
∀y P ( b, y )
∃y ¬ P ( a, y )
∀x ¬ P ( x, e )
∃x ¬ P ( x, f )
Translate the following statements...

Let T be a continuous random variable denoting the time (in
minutes) that a students waits for the bus to get to school in the
morning. Suppose T has the following probability density
function:
f ( t ) = 1/10 ( 1 − t/30 ) 2 , 0 ≤ t ≤ 30.
(a) Let X = T/30 . What distribution does X follow? Specify the
name of the distribution and its parameter values.
(b) What is the expected time a...

In a sample of 100 students taken randomly from QU, 70 of them
have Twitter account, 80 have Facebook account, and 60 of them have
both accounts. If a student is randomly selected:
The probability that he/she has at least one account is
The probability that he/she has no Twitter account is
The probability that he/she has Twitter account only is
The probability that he/she has neither Twitter nor Facebook
account is
The probability that he/she has either Twitter or...

a gymnastic school with hundreds of students. It needs a
database to track all the different classes that are being offered,
who is assigned to teach each class, and which students attend each
class. Also, it is important to track the progress of each student
as they advance. Design a database for the following
requirements:
Students are given a student number when they join the school.
This is stored along with their name, date of birth, and the date
they...

Dr. Granger is hoping to encourage Coker students who are taking
math courses to visit the Center for Quantitative Literacy for math
tutoring. She decides to conduct a study to find out what types of
advertising or incentives might be effective.
a. What is the population for this study?
Select your answer from one of the following options.
a.
All students in MAT 203
b.
A random selection of 100 Coker students
c.
All Coker students who are taking math...

The accompanying data represent the number of days absent, x,
and the final exam score, y, for a sample of college students in a
general education course at a large state university. Complete
parts (a) through (e) below.
Absences and Final Exam Scores
No. of absences, x
0
1
2
3
4
5
6
7
8
9
Final exam score, y
89.6
87.3
83.4
81.2
78.7
74.3
64.5
71.1
66.4
65.6
Critical Values for Correlation Coefficient
n
3
0.997
4...

PLEASE READ THE ARTICLES ATTACHED AND ANSWER THE
FOLLOWING QUESTION. THE ARTICLES ARE BOTH LISTED
PLEASE PROVIDE DETAILED EXPLANATIONS.
PLEASE WRITE ONE REFLECTION COMBINING BOTH
ARTICLES.
The purpose of the Article Reflection is to deepen your
engagement with the topic of Epidemiology. It will give you the
opportunity to reflect on the current real-life epidemiological
issues at hand and help to bring meaning to them.
ARTICLE 1:
A group of students knew they had covid-19. They hosted
a party over...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 1 minute ago

asked 4 minutes ago

asked 12 minutes ago

asked 26 minutes ago

asked 29 minutes ago

asked 29 minutes ago

asked 41 minutes ago

asked 42 minutes ago

asked 43 minutes ago

asked 43 minutes ago

asked 1 hour ago

asked 1 hour ago