Question

Translate the compound statement into symbolic form.

No electric-powered car is a polluter.

*p*: A car is electric powered.

*q*: A car is a polluter.

*p* → *q*

*q* → ~*q*

*p* ∧ *q*

*p* → ~*q*

*p* ∧ ~*q*

Construct the truth table for the expression.

Answer #1

TRANSLATE THE ARGUMENT IN SYMBOLIC FORM. VERIFY ITS VALIDITY
USING THE TRUTH TABLE.
Justine is an educator or a bartender. If he is an educator then
he works in the school. Justine does not work in the school.
Therefore, he is a bartender.
P: Justine is an educator
Q: Justine is a bartender.
R: Justine works in the school
Premise 1:
Premise 2:
Premise 3:
Conclusion:
P
Q
R

Translate this argument into symbolic form. Then determine if
argument is valid or invalid with a truth table. Unless both Danica
goes and Vincent goes, the wedding will be a disaster. The wedding
will be a disaster. Therefore, both Danica and Vincent will not
go.

Translate the following statement to a symbolic representation.
Doc Brown was not killed by the terrorists Question 8 options: 1) p
∨ q 2) p ∧ q 3) p → q 4) ~p 5) p ↔ q

Let p, q, and r represent the following simple statements.
p:
It is snowing outside
q:
It is cold
r:
It is cloudy.
Write the following compound statement in its symbolic form.
If
it is snowing outside
then
it is cold
or
it is not cloudy

A new car that is a gas- and electric-powered hybrid has
recently hit the market. The distance travelled on 1 gallon of fuel
is normally distributed with a mean of 65 miles and a standard
deviation of 7 miles. Find the probability of the following
events:
A. The car travels more than 69 miles per gallon.
Probability =
B. The car travels less than 57 miles per gallon.
Probability =
C. The car travels between 60 and 69 miles per...

Using letters P, C, B, L for the component statements, translate
the following compound statements into symbolic notation.
P : the project is finished soon
C : the client will be happy B :
the bill will be paid L : the lights go out.
a. If the project is finished soon, then the client will be
happy and the bills will be paid.
b. If the bills are not paid, then the lights will go out.
c. The project...

5) The demand for the Tesla electric automobile is P = 200,000 –
2.1 Q, where P is in $/car and Q is the number of cars sold per
year. The supply of the Tesla in question 3 is P = 20,000 + Q, P is
in $/car and Q is the number of cars produced per year. What is
Total Surplus in the Tesla market, to the nearest million
dollars?
6) The demand for the Tesla electric automobile is...

Construct a truth table to determine whether the following
expression is a tautology, contradiction, or a contingency.
(r ʌ (p
® q)) ↔ (r ʌ ((r
® p) ®
q))
Use the Laws of Logic to prove the following statement:
r ʌ (p
® q) Û r
ʌ ((r ® p)
® q)
[Hint: Start from the RHS, and use substitution, De Morgan,
distributive & idempotent]
Based on (a) and/or (b), can the following statement be
true?
(p ®
q)...

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