Question

a. Show all the truth table for all the switching functions of two variables. Identify the ones that look familiar to you.

b. How many possible switching functions of one and three variables are there?

Answer #1

We are all too familiar with linear equations in two variables.
These systems may have no solution, one solution, or infinitely
many. Of course, we can interpret these solutions geometrically as
two parallel lines, two intersecting lines, or two identical lines
in the plane. How does this extend into linear equations in three
variables? If a linear equation in two variables describes a line,
what does a linear equation in three variables describe? Give a
geometric interpretation for the possible...

Given the function f = x(y + w'z) + wxz.
- Show a truth table for the functions.
- Draw a block diagram of a circuit.
- Simplify the circuit using Boolean Algebra or K-Map.
- Re-draw the simplified circuit diagram next to the original
circuit.
I NEED HELP WITH THIS ONE. THE IMPORTANT PART IS TRUTH TABLE. IF
YOU DON'T KNOW OR DON'T WANT TO DRAW A BLOCK DIAGRAM, IT'S FINE. I
NEED TRUTH TABLES FOR THE FUNCTION AND...

Use the FULL truth-table method to determine whether the
following argument form is valid or invalid. Show the complete
table (with a column of ‘T’s and ‘F’s under every operator); state
explicitly whether the argument form is valid or invalid; and
clearly identify counterexample rows, if there are any.
(p ⋅ q) ⊃ ~(q ∨ p), p ⊃ (p ⊃ q) /∴ q ≡ p
Use the FULL truth-table method to determine whether the
following argument form is valid or...

1. write a truth table using this symbol: -->
2. write the inputs for the truth table to the left of the
--> and write the outputs for the truth table to the right of
the -->
3. write the compliment, or NOT using '
As an example:
The truth table for AND is written this way:
A B --> A AND B
0 0 --> 0
0 1 --> 0
1 0 --> 0
1 1 --> 1
or...

are
they logically equivalent (show how) truth table or in word::
a) p —> ( q —> r ) and ( p -> q) —> r
b) p^ (q v r ) and ( p ^ q) v ( p ^ r )

A data table contains two variables. One is the 30-year fixed
mortgage rate; it is measured as the best rate offered by a
mortgage broker over the last 90 days. The second variable holds a
column of integers, 1-40, that identify different brokers. The 40
largest mortgage brokers are included in the data table. The data
will be used to understand lending practices of all mortgage
brokers in the U.S. Please use the correct answer from the brackets
for the...

Suppose you are conducting a test of independence for two
categorical variables in a contingency table
(cross-tabulation) consisting of three rows. If the critical value
at the 1% level of significance is 23.209.
How many columns were in the contingency table?

1) A bag contains two red marbles, two green ones, one lavender
one, three yellows, and three orange marbles. HINT [See Example
7.]
How many possible sets of four marbles are there?
2) A bag contains five red marbles, three green ones, one
lavender one, three yellows, and two orange marbles. HINT [See
Example 7.]
How many sets of four marbles include none of the red ones?
3) A bag contains three red marbles, three green ones, one
lavender one,...

2. Let A = {a,b} and B = {1,2,3}. (a) Write out all functions f
: A → B using two-line notation. How many diﬀerent functions are
there, and why does this number make sense? (You might want to
consider the multiplicative principle here). (b) How many of the
functions are injective? How many are surjective? Identify these
(circle/square the functions in your list). 3. Based on your work
above, and what you know about the multiplicative principle, how
many...

2. Let A = {a,b} and B = {1,2,3}.
(a) Write out all functions f : A → B using two-line notation.
How many diﬀerent functions are there, and why does this number
make sense? (You might want to consider the multiplicative
principle here).
(b) How many of the functions are injective? How many are
surjective? Identify these (circle/square the functions in your
list).
(c) Based on your work above, and what you know about the
multiplicative principle, how many...

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