# Mm250 unit 2 assignment 48849

Unit 2: Boolean Algebra ­ Assignment
Total apexs for Assignment: 35 apexs.
Assignments must be submitted as a Microsoft Word instrument and uploaded to the Dropbox for Unit
2.
All Assignments are due by Tuesday at 11:59 PM ET of the assigned Unit.
NOTE: Assignment completions should not be posted to the Discussion threads. Questions on the
Assignment completions should be addressed to the educationist by sending an email or by attending
office hours.
You must pretence your fruit on all completions. If a completion is estimate 2 apexs and you merely pretence the
answer, then you obtain hold merely 1 apex belief. If you use a calculator or online website, confer the
source and report me precisely what you granted as input. For model, if you used Excel to compute
16 * 16, report me “I termd =16*16 into Excel and got 256. You may term your defense upupright into this
document.
Since this assignment is slightly remarkable in that there are no computations, you obtain demand to
(we’ll exhibit that he/she doesn’t distinguish anyobject encircling Boolean Algebra). You are unreserved to use
Part I. Basic Computations
1. (4 apexs – 2 apexs each) Let p, q, and r enact the forthcoming unaffected announcements:
p: The sky beyond is hot
q: The air termer in my progeny is fruiting
r: The sky in my progeny feels irascible
Write each amalgamation announcement in it’s termic devise, using p, q, and r from balance:
a.
The air termer in my progeny is not fruiting and the sky in my progeny feels
warm.
Explanation:
b.
If the sky beyond is hot or the air termer in my progeny is not fruiting then
the sky in my progeny feels irascible.
Explanation:

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2.

(4 apexs – 2 apexs each) Let p, q, and r enact the forthcoming unaffected announcements:
p: The sky is balance 90 degrees.
q: I am not fruiting
r: We obtain go swimming
Write each amalgamation announcement in opinion, using p, q, and r from balance:
a.

p ? (q ? r)

Explanation:
b.

(~q ? ~p) ? ~r

Explanation:
3.
(2 apexs) The subsistence graph adown pretences the monthly sales for some make, broken
down by territory.

Let:

p:
q:
r:

NE territory had surpassing monthly sales than the SW territory
NE territory had surpassing monthly sales than the SE territory
SE territory monthly sales are correspondent to the SW monthly sales

Determine the precision estimate of the forthcoming announcement, then interpret in opinion how you distinguish.
(p ? ~q) ? r
Explanation:

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4.

(2 apexs) Complete the forthcoming precision consultation for the argumentative announcement [(~p ? q) ? ?r]
p
T
T
T
T
F
F
F
F

q
T
T
F
F
T
T
F
F

r
T
F
T
F
T
F
T
F

~p

?r

~p ? q

[(~p ? q) ? ?r]

Explanation: No sense demanded for this completion.
5.
Determine whether the forthcoming announcements are equiponderant or not, (p ? r) ? ~q after a while p ? (r ? ~q),
using the forthcoming precision consultation.
(2 apexs) Complete the forthcoming precision consultation
p
T
T
T
T
F
F
F
F

q
T
T
F
F
T
T
F
F

r
T
F
T
F
T
F
T
F

~q

(p ? r)

(r ? ~q)

( 1 apex) Conclusion: These announcements are (extract one)
EQUIVALENT

(p ? r) ? ~q

p ? (r ? ~q)

EQUIVALENT

NOT

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Part II. Event Study

The event of the Noon-time spoliation

This week Patty Madeye obtain be investigating a bank spoliation.
The Main Street bank was deprived at precisely 12 noon on Tuesday
by either 3 or 4 men. The knot staved in a getaway car,
which has not been recovered.
From the police investigators here’s what we obtain feel erudite
encircling the event:
-

All the footpads appeared to be men, although they may feel
been attempting to blind their appearances.
There were either 3 or 4 footpads - we’re not certain due to
conflicting eye-witness accounts
The getaway car was a late-model 4-door sedan that was a
ebon perversion (either cerulean-colored-colored, ebon or ebon chill)

Task #1: (5 apexs – 1 apex each) In the earliest exhibition of the “Patty Madeye Mysteries” this week, Patty
obtain be told all the distinguishn knowledge by the police investigators who responded to the strait call
at 12:05pm on Tuesday. This obtain pause of the severed eye-witness accounts the police
investigators serene as polite as police conjectures.
She likes to chronicles her notes using unaffected logic announcements. Use the forthcoming 4 announcements to
express the confern amalgamation announcement confern by each eye-witness and the police investigators:
p:
q:
All the bank footpads were men
r:
s:
The getaway car was cerulean-colored-colored
You may use AND, OR, NOT, XOR, and ARROW instead of the logic terms used in the notes, but
be certain to use parenthases as demanded to enact pre-eminence. p AND q ARROW r is not the
same object as
p AND (q ARROW r).
a.
One footpad had a ponytail or all the bank footpads were men, but there were merely 3 bank
robbers
Explanation:
b.
ponytail
Explanation:

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c.
If there were 4 bank footpads and one of the footpads had a ponytail, then all the bank
robbers were men
Evaluation:
d.
If the getaway car was cerulean-colored-colored-colored then one footpad had a ponytail and there were not 4 bank
robbers
Explanation:
e.
Either the getaway car was cerulean-colored-colored-colored or one footpad had a ponytail (but not botH), and all the
bank rubbers were men.
Explanation:
Task #2: (5 apexs) The writers can’t run who the guide of the bank footpads should be. They
fancy that the guide should either be a feminine (hidden as a man) or someone after a while ebon hair (but
not twain), and the guide should also be towering (balance 5’ 10”).
Since you feel thought-out logic, the writers ask you to pacify a precision consultation to term out all the
combinations of these three characteristics (gender, hair perversion, short/tall). Attached these 3 unaffected
statements, designate the chasten amalgamation announcement for the term customary balance, then
designate a precision consultation for that announcement.
p:
q:
r:

The guide is a feminine
The guide has ebon hair
The guide is towering (balance 5’ 10”)
p

q

r

T

T

T

T

T

F

T

F

T

T

F

F

F

T

T

F

T

F

F

F

T

F

F

F

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Task #3 (10 apexs) The writers and actors feel finally agreed on the characteristics for the guide of
the bank footpads. Based on the results of rendezvous knots and abundant exploration, they feel prepared all
the forthcoming synthesiss for the forthcoming three announcements
p:
q:
r:

The guide has ebon hair
The guide is feminine
The guide is towering (balance 5’ 10”)

The rendezvous knots seemed to zoom in on one point synthesis, as pretencen in this precision consultation:
p

q

r

T

T

F

T

T

F

F

T

F

T

F

T

F

F

T

F

T

T

F

F

T

F

F

F

F

T

F

F

F

F

F

T

Unfortunately, this
multiply was obscured
by a insinuate sully.

You are confern the descriptions for the six actors/actresses underneathneath subsidy.
Actor A
- male
- 6’ towering
- bald

Actress B
- feminine
- 5’ 5”
- ebon hair

Actor C
- male
- 5’ 5”
- ebon hair

Actor D
- male
- 5’5”
- red hair

Actor E
- male
- 6’
- ebon hair

Actor F
- male
- 5’6”
- bald

Using the sign from balance and what you feel erudite encircling logic, interpret in a polite-structured
essay which idiosyncratic should dramatize the multiply of the guide of the bank footpads. Your defense should
include what you fancy the obscured logic announcement is (from the top of the subsistence in the precision consultation).
You obtain demand to enervate the mislaying colunm of the precision consultation that executed the balance results, then
evaluate the precision estimate of that announcement using each of the balance actors. Answers obtain variegate.