-T*g rnffit 1\O -)Vt 2.olZ
I
Instructor: mtlccourses
Student:
mtlccourses
Assignment: Practice Test
3
Course: Math 110 MWF Coordinator Spring
2012
Book: Lial: Finite Mathematics, 9e
iDate:
!fime:
**ffi
Sc,-^.-f.fnq.,
2.
Decide whether the following statement is compound.
+*e**'tt n
r
Slc}-tv*t-l
Jerry's wife loves soup and she especially loves sandwiches.
@
Is the statement a compound statement?
,'
3.
_.:
.1s$shis
Ctrn \ O-.\c[ ',
No
Form the negation of the statement.
It is below zero outside.
Choose the correct answer below.
fu,
\---z
is not berow zero outside.
-
It is never below zero outside.
It is hot outside.
4.
Give a negation of the inequality.
k<13
The negation of the statement is k
ffi
13.
Page
I
Instructor: mtlccourses mtlccourses
Student:
Date:
Assignment: Practice Test 3
Course: Math 110 MWF Coordinator Spring
2412
Book Lial: Finite Mathematics,9e
Time:
Consider the statements.
5.
p: The vest is brown.
p
bco"r^.\r $"s\0" ir "T tito.,"
$HT\Krl.til',"s
Rewri€ the siatement pv-q in English.
What is the English version of the statement pv-q?
i
,'rA. If the vest is brown, then the shoe is not tan.
' ,8 The vest is not brown or the shoe is not tan.
h.
vest is brown or the shoe is not tan
\1]le
D The vest is brown and the shoe is not tan.
i
:
6.
Let p and q represent the following simple statements.
p: I get an A.
,"
(tuofiiitTiTl\**r*9\t$ns',r
'$
Write the symbolic statement
-(qtp)
-(qvp)
0r
-.<
a,^, o$o1rw
in words.
words.
Choose the correct sentence below.
It is nor true thar this is an octopus and I get an A.
a
G,-u4e).i*:e
' l*t^.
\':
\
htil h90't\1AW
ffi;"ffi;;:'-'^ \'*,&il.,ii\1*1n
rhisisnoranocropusorrgetanA
7.
Let p represent a true statement, and let q
atru@valueot-@-
represent
compound statement.
Tv;T=Tv
F: T
pv-q
Is the compound statement true or false?
,r.,',
false
Page2
\W-st:$Tfnt
l$[$ht*"
I C-[* f *-q
--------=
fort*"toti.,f""o.rrr"r'.,t..o*r",
Student:
Date:
AssignmentPracticeTest3
Cource: Math 110 MWF Coordinator Spring
2A12
Time:
Bookl Lial: Finite Mathematics, 9e
8.
Let@,letorepresesta
false
statenent. and let r represent a true statement.
+
Find the truth value of the eiveEcompound
;T: :::i1::
G
ilr :
(r v r)v r
Is the comnound statement tme or false?
,
9.
false
=rv F =O
-
Determine the truth value for the statement whegg!g.,1fr5,_q is false,
-(p.,q),.-(pnr)ir-
*d:it frl*q-
(Tvf)[^",w)i*TfiruF
Choose the correct answer below.
10.
Let p represent the statement 4 > 7 andlet q
represent the statement 2 5 4' Find the futh value
the given compound statement.
q^-piTAoF=TnT
(G\
\-_--l
Is the compound statement true or false?
p:\>l
of
=O
false
Page 3
t1
e€\ =F
=T
? FAT
A
=\U
i
Instructor: mtlccourses
Student:
lD"t"t
mtlccourses
Assignment: Practice Test 3
Course: Math 110 MWF Coordinator Spring
20t2
1fime:
Book: Lial: Finite Mathematics, 9e
I
ll.
Let p and q represent the following statements.
p:8+6:13EF
q:2x3:12
F
=,
t
Determine the truth value for thE statement ^.p^^q.
=
Choose the correct truth value below.
i
F
A*F
A
TAT
=O
-, T^^q is true.
-p^^q is false.
t2.
r"t p ,"pr9r"1fi ,tut"*",rt z.
z, tr, ,
,.p."r$frJ*"rn"r* : = * :, and let
*$*t n. ,*r"*
T",T:'Iil ; uffij= ,-ltr " t, AFI= *Lr ^FL
false?
I
nr
Is the statement true or
,.
13.
i
False
Let p and q denote the following statements.
n is "The taxes are hish."
qir"IS@'
Write the comnound statements in their svmbolic form.
(")
P'
Etu*d. *
v
rvQs
il.
PV^\
hig! or itAnolt}?nt: to sleep.
The symbolic form
ir
(U) The taxeS_efe hig[and it is not time to sleep.
ragel$
F
=U
I
Instructor: mtlccourses mtlccourses
Student:
Assignment: Practice Test
3
Course: Math 110 MWF Coordinator Spring
lDate:
2012
lTime:
Book Lial: Fiaite Mathematics,
9e
Give the number of rows in the truth table for-thq,compoun{statement'
14.
3 e3
I a
(-q n *w) v (w vt)
The number of rows in the truth table is
15.
1\
\ie\AJ 2l fornrs
n 23 = Kfg1$-
Give the number of rows irtthe (uthtable
-- statemgnt.
for$e cgmpound
r L r + k 9Sh*qrns.S(Prf,stc)
(*p"^*)v(mvc)
r$ __ t[ roNS
Thenumberofrows inthetruth
i i. J'
table is
Constnrct the tmth table for the following compound
statement *p v q.
What are the truth table values of
-p v q?
-
'V PV
T -r ^,TVT =- FVI=
Ir -T
F \,TVFEFVF=
.\rFvT ET vT
F
F F' "IFVF STVF
=
17.
Construct the truth table
(Type T for true and F for
the compound statement
-(p n
Complete the truth table.
-(p n q)
18.
T
T
T
F
F
T
F
F
i-OnF)=,,f
-*(FAT)EruF =Q
=$J
Construct a tnrth table for the given statement'
(qup)n*q
Fill in the truth table.
p)rc
VT:
TvF
FVF
(Type T for
Pts
A-T
:TA-l
A* F =TAF
n-T
FAT
r\fE =TAF
=
Construct a truth table for the given statement'
19.
(-pnq)v(qnp)
Fill in the truth table.
^,T ATE FT\T
'$TnF : F AF
csFAT:TAT
^FAF
(Type T for True and F for
(*?A )v( nP)
j"T/\T, \ (-r nr)=(Enn)vt
T
F\T
( rnrl
F = F\f
T F (.Nr v (rnr)
=CrAF)v
(rnAv F = TVF
^f) v
F T ('r AT)
= (rnf,vr = F VF
v nr)
=
F iF br AF\ ir
=
Construct the truth table for the compound
statement (p n ^.q) lr *r.
Fill in the empty values of the truth table.
T
I
TT
T
F
Tf
F
F
T T^vt)A-l'=trnflnF=
f4I
F
TA-I)A'\f = (r^a 4r
F
sn-il:Jitll}\tl:Iffi
(rtt"TYul=\
?
T fnprJn-r=(rnfnr-1ltg
TT
T
Fnr
--
-\
(rAF)Ar:FAT
F Gn"irpF=
FFT
fff
(Flit)t\T r$l
=
€
$ifrr),t-,f (rAr) I\T ; fAF :
(r ruF
rb,T
P"r
6
TTT
TT F
TF T
TF F
FT T
FT F
FFT
FF F
'F
F
F
T
F
F
F
F/
=
TAF
i
j
Instructor: mtlccourses mtlccourses
Student:
Assignment: Practice Test 3
Course: Math 110 MWF Coordinator Spring
2012
Book Lial: Finite Mathematics,9e
iDate;
Construct a truth table for the following compound statement.
2l-
(*q^-r)n(-st-q)
Fill in thetruth table for (- q
r) n (^-
s
r - q) line by line.
-o/\-rtnt-sv*
=.F
r =F
Vnt
Ars
n
ruTVI,
FNdT
Fv*
FAT:F
TN)
-T
=$A
Write the negarion of the following statement, applying De Mor
22.
X' *50"*"f0",,
n^1$t1
is hard
*o *"
**
F*;hE
What is the simplified negation of the statement?
,/-,. a T'L- l-..L-*L^ll ;. L--n
^- *L- +.^i- i. -^+ ,l^-^^-^,'.
tPAtl :,.1'Y
\-
L
The basketball is not hard or the train is not danserous.
-:C.
.,U
to
The basketball is not hard and the train is dangerous.
fffia
3T
r:T
illL
rr
h
| '--Ttl-bosKstbqil
\.:.-_
cn Tt-0"*cor" fs
R*r,$
The basketball is not hard and the train is not dangerous.
z-'t-
n"yAio."
i.,.r
i'.,
,,
-.i
She does not make the bed, or
If
I
do not make the bed,
she does not make the bed, then
She does not make the bed, and
She makes the bed, or
I
do not make the bed.
I do not make the bed.
I do not make the bed.
PageOJ
ffik$sb.H,
mtlccourses
i
Instructor: mtlccourses
iTime:
Course: Math 110 MWF Coordinator Spring
2012
student:
lDate:
24.
Big\ ljall Flntg Mathrcmaticl,
Assipmenfi
ee
*,I *A_t -. +PAt
ae/"rp,,.nLl,.l
Find the logic statement representing the following
r\ {.,PtJ
Practice Test 3
^\
\)
llr "Pvt
circuit.
Find the best solution.
i-",A pv(qn-p)
i 'e
q^Ov-q)
P
^(pv[,)
OT
,'-,C pn(qn-p)
",D. pn(qv-p)
25.
P
^(Xv-P)
Find the logic statement representing the circuit.
v (-\A0
r"\Af)
Find the best solution.
(pv^q)nr
p^(^qw)
pn(qnr)
eaget$
lnstructor: mtlccourses
jDate:
Itme:
;..,,.,.,.....
26.
Tell whether the conditional is true or false. Here T represents
assignment:
p*.ri". i.*, t
F-+(6>6i
7 F+ r-
Is the conditional true or false?
a true statement and F
/c\
statement.
2't.
mtlccourses
Course: Math 110 MWF Coordiaator Spring
2012
Book: Lial: Finite Mathematics,9e
='{,)
'tfr"ffi
ponles, and
represenlmey rars
represent 'tn"
tet tr represent'bg
represenilne ualns
kalgr pelueF,'
ano let
ler r represent
Let s represen,
sne O*'ubr,
nas a pet snaKe.
snake, 'let
monkeys.]ExpreSseachcompoundstatementinwords.<
J.
' x$ s\s\r.s f^ es 5h0u,$"-.'htd"t p\rT^u^
(W$-d0NF0tf,."
\l
(-1',,)
s-+
"
What are the words that express the condirional statemeni flOniQJ $f
\
ies or they raise monkeys.
;A If she does not hale
i :g If she has a pet snake, then he does not fain ponies or they raise monkeys.
C If she has a pet snake, then he trains ponies and they raise monkeys.
u
_
t
i
28.
t,
-',D.
If he does not ffain
ponies, then she has a pet snake and they raise naonkeys.
follo;ving statement in symbolic
Write the folloying
"v
;::l[:'T?li:'#finTffi::'J.:lKe
the surprise parry,ruill be a
rctp=
n:
success."
form.
form.
rr vou
-l
'o'ow
\
tre recrpe exactrv'
i:j
t'you follow the recipe
"the zurprise partv
ft)-'
q)
vr
:,, ;_3::
29.
^
n
Y
or )\d\\b$nddhu*'
{5.P
ihr..o{./h.
c]'"Jfi
CGkg 'lo.le^
Cr]6o
"Yo,Sb*k"adeliciouschocolatecake" {.ilc*}."Al(ifef t*"fi$l}
exactly"
success"
what is the statement in svmbolic rorm?
r=
@!
)'lw'--
wit
be a
(3+P)Vt
f efu\\
ln"ttrt0^rgr({\rL}0r
"ta,*.:jL .\r*fr\ \ ItoF,,
i'+cJ,*r.L.L6\il\(rla:'
Lr"ll,,Xltr,ns p'Xl
Let w represent'I wash my windows,'let f represent'it floods,' and let t represent
'the tennis match is postponed.'Write the compound statement in symbols.
-t-t\
The siatement is written symbolicall
Page
f
$
:
i
lort
Student:
lDats
lTime:
*
esig";.;tt r*.til"i"rt :
uatorr *,faaourra" *rfaao"oat
Course; Math I l0 MWF Coordinator Spring
2012
Book Lial: Finite Mathematics, 9e
t-
30.
Is the statement true or false?
31.
H:H.H::T;Ji:iffiT:*ITffi'fi::il"1, P2T,
::: ;::"":--T;i;^"il
3
\:T
IT
r + hnF)
=
=
r+F
Is the statement true or false?
i'i
32.
=
O
false
r is
f"t*
! g,
1-,iT'f;t,i='
-+(FrV/** F)
F)..\- Kp'
-[ (q -+ -r) -+ (, ' -q) ] ; *L(F {lv"-F).
-.7
Determine the truth value for t}te statement whengp is tnre, cI tr
FC *f
f
rhe
T
statementt'@
*[T '.+'
'TJ:
=
Page
lO
,
and
false.
O
s
Conshrct
33.
a truth table for the given statement.
[(q-+p),..*p]-+^q
Fill in the truth table.
(Type T for True and F for F
Is the statement a tautology?
T
T
F
f
T+t:
T
tF
l--5
T
I
T T+F
ff
)n*
F+F
(
!
b p)ru"p]+
f
tf*rf)nn"T= T AF =
fT
F F
^,
qu.
TT (r-r) A*T -+n"T =LrA
-rryF
TF +il)
=lrn
:F
+T :
f+T
FT
t€
=Fnrl-rr
Ye1 cta*,rbqr is A slCo^^,A
.UU
.
N
Ls aX,t^t"f
,.---fl- tr'q.
Po1" tt
s\-j
Write the statement
34.
as an equivalent statement that does not use the if...then
q.
'-r
p
-+ q is equivalent to -p v
If
she
o
A
plant& those flowers, then thev are tlger
lilies.
_a
Choose the esuivalent statement
i:.)B
i
p
ra
35.
below.
-
She did not plant those flowers or they are not tiger lilies.
-:C. Either
E,-?t
Ro,t^ot^h*^
she planted those flowers or they are not tiger lilies.
i'ff '$W'Sff l$"il{itrKfisjlffi
$r
qhq q".+tp^ .!.'}lu,,"
Write the negation of the conditional statement.
If it is pink, then it is not a carrot.
Choose the correct negation below.
l"t
^Lc-^d
t: c. c^cr'^o/t'{/
It is pink or it is a carrot.
If it is not pink, then it is a carrot.
It is not pink and it is a carrol
36.
Use truth tables to decide whether the pair
statements is equivalent.
of
T
p-+q; (qv*p)
'5t.
T
TrT
F
T V^,T-{TV
bF
F V-TA FVF
TV*F iIvJ
f,v^'F Z tvT
F T
F F
Yes
Yes
$O'trt9--
Construct a truth table to veri$ the following equivalence.
p^(p+q)=qn(q-+p)
First, complete the truth table below.
Is
p-+q rn(p-rql q-+p r^(q-+p)
T
T
p
q
T
T
T
F
F
IE
T
tE.i
F
F
T
T
LE]
F
FJ
T
F
F
T
FI
T
EI
F.
n
pn(p*+q) equivalent to qn(
m
Fn (r*r):FAT
A(T'Q={AF
F
A(F+Q=FAT
TT
TF
A(T-tr)= TAT=
A (raP)=Tn F
FT F Aff+T)=FnT =
=
FF F
=
Pop
la
^(F+Pl:FAT
Draw a circdit repreienting the following statement.
38.
gnqr BARs
-p^(-q^r)
What is a circuit representing the statement?
,",A
r
*p -,e **dt
-':'8.
---t4
*
*7*a*?,
c."p
*\
*{*-:
*
L**{q *J -*<
-F
orthe
39.
statem
P*Ao
Sldt I +\
"nta"to*J
tr[goo!j!-*o'th*@
If it is nol ro-rn"r,Eo there-ls nost5n tn" pumpkin.
HrtrH{,'T*'S3ffiTfi$lf"fr:'ff'SlK
-:s. If it is still summer,
p
l:
i
a
i'-'in. It is still summer or there is frost
is not summer.
on the pumpkin'
The contraoositive of the siven statement is which
of
a.'$}e-
0
\\r+9*^ri5 no\{r"i
i.:rB. If there is frost on the pumpkin, then it
i
is not summer.
pumpkin.
-,:C. If it is still summer, then there is not frost on the
i::rD It is still summsr
40,
folfqvine?
pumpkin, then it is still summer'
If there is frost on the pumpkin, then it
+p P +
\"srrr*rur,--p+^,1
*
l,g$-"po''to^' \+
- r* it nqtshrn{b\rr
{the
rt ilstr-.lxr+, l'\o--\0^r-Ll ,.s $c.*
,n. tf t&re is not frost onte*
_i
or there is frost on the pumpkin.
Find the inverse and the contrapositive of the statement-
n-+-m
What is the inverse?
-N-S
What is the contrapositive?
ffi
*
E''nt"
I
-
then there is not frost on the pumpkin.
The inverse of the glyen Statement is which
P- -+ N Cl:l \\An
f
oF
Fl*pt^b\J'
i
il;;;t;
Student:
I
*rr"r"*r*rnti..ooo", lttig"t.nt:
Course; Math I l0 MWF Coordinator Spring
2012
Book: Lial: Finite Mathematics,9e
iDate:
tme:
ffi;
41.
Co$^r-r*:
Lnrr.qa$r i
What is the converse?
What is the contrapositive?
ffi*ffi^
42.
Practice Test 3
* (-n)-+
ruIrn,
=@
For the following statement, write the converse, the inverse, and the conkapositive.
Use De Morgan's laws to simplifu each.
-p-+ (rnq)
is the'conversE of
-
p
(f
:rn-q)-+-p
ntr)
(-r^-q)
p-+ (-rv-q)
p-+
What is
tnJ*GFof - p -+ (r n
(-rt-q)-+p
(rnq)-)-p
What is the conffaoositive of
r- (r
*.-$;Jy*
- n -+ (r n o)?
{')
" B? :-5
=
,:-., p-+ (-r^-q)
i',''
(- rn -
q) -+
-
t
u=-f t
[PvX)=*(7^-
-+ (r n q)?
p
rage
I
lV
( (_ft*)
r
Assignment: Practice Test 3
Student:
jDate;
lTlme:
Course: Math 110 MWF Coordinator Spring
2012
Book Lial: Finite Mathematics, 9e
Write the following statement in the form "if a... then b."
43.
"You can ride your bike when the sun is shining."
\\
The statement can be equivalentlv written in the form
{{ ' $t*S\r^is_+"il_:trb
"if
a... then b" as which of the followine?
)A\,*Sg.., niA\
,:
A
If the sun is not shining, their you can ride your bike.
i-,:
s.
If you can ride your bikq then the sun is shining.
-:c
If the sun is shining, then you can ride your bike.
IA^ Hkol'-
Write each statement in the form "if p . . . then q."
44.
No pain is sufficient for no gain.
\\--
Which statement below is a correct wording of the given statement in "if p . . . then q" form?
{+ $\'^r. is n, laa.bnrM q"^*
,i-',,A. If there is no pain. then there is sain.
LS ,ro {.c,^\.(,
0
-.i!- If there is pain, then tlere is gain.
45.
Write each statement in the form "if p . . . then q."
Being neither angelic nor evil is necessary for being a good person.
t't+ Which statement
below^ is a correct
wqrding of the given statement in "if p . . . then q" form?
Ir*iff **"m"r;h"m"ffi *T\^ o'-gil'ir "'o' euJ j'
:_,,4 If you
,,
are a good person, then you are neither angelic nor evi
--.c If you are neither angelic
:'-,D If you are a good person,
nor evil, then you are a good person.
then you are either angelic or evil.
Page
ll5
I
Course: Math 110 MWF Coordinator Spring
2012
Book Lial: Finite Matheoratics, 9e
_
i
46..'r{
*o
ettie";.otr Po.ri"" r.r, :
Instructor: mtlccourses mtlccourses
Student:
iDate:
Time:
Write the statement in the form'if p, then q.'
"';;ffi'#'T#*,'*[$; "t ls rs!,,,/
All irrational numbers are real.
sentence in the specified form.
i
-
i
n. If a number
is real, then it is never irrational.
r'-,C If a number is irrational,
47.
then it is never real.
'Ts.s
-f
5-5ifandonlyif 13:9 + 4 =
^
Identi$r the statement as true or false.
T
Is the statement true or false?
48.
Identiff the following statement
as true or false.
"Purple is not a color if and only
a foot has
F<-->-T if
F
five toes."
Is the stateinent true or false?
False
ragc
f lb
mtlccourses
Student:
Instructor: mtlccourses
Date:
Course: Math 110 MWF Coordinator Spring
2012
1fime:
Assignment: Practice Test
ine which are
For the following statement, write the converse, the inverse, and the
49.
3
eouivalent.
;;;':;;
-
'f;
hou,",?* *" n"'3
rot orcash "
What is the converse of the statement?
ofcash.
i
-',
c
If we don't have a lot of cash, then we don't sell the house.
What is the contrapositive ofthe following statement?
(-t-l
r'-',A If we don't sell the housg then we don't have a lot of
Which statements are-equival
I
-:A.
If we have
we
a
lf
of cash
have
-;the-n
caBh.
. i1 e$!rv
q.
we self the hou-se.
. then we
+
p
t\t
0e *-t)
o t *ox
X
(^
n-f
-+
*a rs.
have a lot of cash- then we donl sell the house.
If we don't hav
f we have a lot of cash. then we sell the
f we don't sell the house, then we don't have a
Pagell?
&
t-t-t ^p)
*il
+^rP)
\
"-S}Y,IS-
stuM
Instructor: mtlccourses
Student:
rDate:
!
mtlccourses
Assignment: Practice Test 3
Course: Math 110 MWF Coordinator Spring
ifimer
1-
2012
Book Lial: Fiuite Mathematics,
Consider the foltolpng
statement.
\,)
9e
T
+
If vou attent the meetine and ask ouesiions. vou set promoted.
a. Use symbols to write this statement.
b. '$/rite
the contrapositive of this statement.
a. Write the statement using symbols. Choose the correct answer below.
r+(-pn^q)
(r -+ -p)
v ^q
(pvq)*rr
LtrSK (pn
f r- f +(*p vryt)
If you did not attend the meeting and did not ask questions, then you don't get prdmdted. ['
ite the contrapositive of the statement. choose the correct answerbelow
lf you do not
t\
get promoted or did not ask questions, then you did not attend the meeting.
If you do not get promoted, then you did not attend the meeting and did not ask questions.
vou do not set nromoted- then vou did not attend the meetins or did not ask questions.
f\tl y
51.
*P
Find the mean of the quiz scores in the table to the
right.
V
Value Frequency
o*o+o t s+s t\o+)o +l l+l\
IA
\r.I
g
0
J
5
2
10
J
11
2
,\r
\
Themeanr-@
(Round to the nearest tenth.)
52.
For the following set of numbers, find the median.
aatt
1
1, 13, 24, 9,24, 14, 10
The median
53.
i.
.-./-\,
i_jq,
For the following set of numbers, find the median.
CorJr^\$r:
: e. ro ir(i}Y z\ z+
@qi^on"fr.,\40o" $
O sftJl^ \
\
f.,, u/,&q\{S+#\d.o
Q\
-l
\\"t,*b'.r e^tu
i
Iustructor: mtlccourses mtlccourses Assignment: Practice Test 3
Course: Math I l0 MWF Coordinator Spring
Studen
iDate:
iTlme:
2012
Book: Lial: Finite Mathematics, 9e
For the following set of numbers, find the modc.
54.
rt
,_,
76. 78_ 76. 84.78. 73. 80
Select the correct choice below and,
if necessary, fill in tlre answer box to complete your choice.
(Use a comma to separate answers as needed.)
iljB
There is no mode.
The figure at right contains the salaries of the
employees at the Raggs, Ltd. Clothing Store. What
ian. and mode salary?
55.
**ffi
I
t. $t] . a1 1$o, lt9oo, ltQ
o,
The number of recognized blood types varies by
species, as indicated by the table on the right. Find
the mean, median, and mode of this data.
lril.Gi)
lType an inreger
orMi
rounded ro rwo decimal
places as needed.)
The median is
I
The mode is
(Use a comma to
T=E
19
Type
Owner
$27200
Salesperson
$r8900
Secretaty
Custodian
$15900
$12000
Salarv
araoc + ltluo+ lttoo+ Ktn* ltiou t lffoo
x=
rhemean
I
J
ThemE
56.
Number
q
answers as
r tt+ Sr lo +9 t1+ttb'*G+Y
t3
f
+Y
r =# = \0,3o1G1 : 10,31
ragellt
lo
I
Xloor
!&+l@)a
I
St
+ l5qoe*l5if,D
ool I slosri
Number of Blood Types
I
5
IstDtl2m
1or,
I Lottrr
Instructor: mtlccourses mtlccourses Assignment: Practice Test 3
Course: Math I l0 MIVF Coordinator Spring
20t2
Book Lial: Finik Mathematics,9e
stud€nt:
lDate:
lTime:
j
57.
Find the median for the list of numbers.
t$\.r o* q\rrJtr'.n or/.1)
J- to', n@le,4J:{.
fr;y+i
_'.tA. 26
i.:.,8 12
rT;r
i--','C. 36
\_,
58.
Find the median for the list of numbers.
6,8,27,24,30,35
-+Ga
i,.1A 24
ffi-]}\
\---_ -"-7
i'^an
t.'w.
6a
\_.-.{
Gvr,rsqrlila
n^,AJS,o.
\nro
Zl
i'-':D. 21.5
59.
Find the mode or modes.
20,23,46,23,49,23,49
--
t.,:A. 49
i'-'iD No mode
60.
Find the mode or modes.
_
90,75,32,75,29,9A
-
,:'-,,A. 65.2
i-,re.94,75
i-:C.
90
r-:D. No
mode
Pagele
30 3.'
ry=+=e
Instructor: mtlccourses
Student:
Date:
mtlccourses
Assignment: Practiee Test 3
Course; Math 110 MWF Coordinator Spring
2012
Book Lial: Finite Mathematics, 9e
Find the range and standard deviation for the qet of nurnbers.
61.
ltl
Jv-'
111, 117, 135,145,153, 160,208
rherangeiril.
rhe standard
-41- Srn =
*",ffih$;y*
(Round to the
nearest-FmtHfi)
Lot-
9r-.e
\I
:).\s
I
=@
\ iqr. \N"
\^kl6uj-l fudu$*."
it\q,$J,
u
T
\^J"
0-9
4
10- 19
3
lq,5
20-29
30- 39
40-49
50- 59
6
zY,5
J
5
9
Y,S
*Xo"\*iu,q)
(r^r^l
(.
u"ft
JIrnr5;
$)
cr)
((,u*h tot,^.S)
^bt
iv,s ((1d"".]
*T(
*.rtS)
$,)
rlad.s,.'J
q9,5 (p,tqs
p",tqS'
t,t".U)
k 15t, *t
,D
s\,s G&Ar^q
P"*r^qt-f,rntil
^qt
qs
fi.bl{
$+
t:I
"or+r^anl
63.
64.
A medical laboratory tested 8 samples of human blood for acidity on the pH scale, with the results below.
What percentage of *re data is within I standard deviation of the mean? S}rq\ast'i
olkffi'rs#Jff
7'2
-'dil&*[db;t-"-{."4$,*
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tI
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;.TT
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I
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rs\r-^.*O^""o." 0. A.+^ o^*x\,,
*
^,,..,
_iN:.E.tllJltlq)
B'ffi#,.9)aHffi^:ffi"''
i
Instructor: mtlccourses
Student:
l
65.
Assignment: Practice Tsst
3
Find the range for the set of numbers.
$rvr
i
\*
\ <)1
120,
140, 6fr,
293
a-t-Srn;6{l-)'l.o @
I 20
-rA
420,
:SC-l
',,,8. 5 27
i',C. I 53
<---
tlry)
66.
mtlccourses
Course: Math 110 MWF Coordinator Spring
2At2
Book Lial: Finite Mathematics, 9e
iDate:
iTime:
Find the range for the set of numbers.
(r'" I-t
65, 149,-30, 118,
, A 84
193
-aq-Sr,ft: lg3 _3S
V
,.
67
-.',e
163
.,9
193
'',D
30
-J[3
Find the standard deviation for the set of numbers.
36, 25, 43, 37, 74, 76, 57, 53, 86
r ..
r
,.
68.
A
19.7
.,B
6.8
-.,c
22.3
t"9c^AN,
Find the standard deviation for the set of numbers.
13,
lg,
10,
i":A.
1.5
i-,8
4
L{s&$\{S*\,\
$\o!,rdo^r)
1
1, 10, 13,
U.:q$\J}q\\N',
20,9, 13,21
S^*\^.11or".sl
c"fr^L\"
Pagel
AL
Instructor; mtlccourses
Studentr
Date:
Time:
_
5*,9
50-59
6\t,5
60-69
)tl-5
70-79
t\.5
qt,5
mtlccourses
{s5ignment: Practice Test
3
Course: Math 110 MWF Coordinator Spring
2012
8&89
90-99
Lnk
t
(4^U^S\,S $,'q+',*O'-'"
g (.r^U^,.Gtt,s.{iqh}tiwJ ,- o
o Q.Sr..rVs O-lXtp'"s)
I
r ig*^ttt,Satroa^tind
(l"il\ns {"rt*,.t*U
'o
14'o
13.2
^
M$mkMSlI
-:-i
(s,&!^l.5,ri,r\s+itr.e$
11
(o"*h'|q.5 dla/ua^t',*nJ)
G^t^f
t.
S
$'+a!^t' r^11)
ffi'*;mio$J.tr,5
#d\)
(<A-^U.S s"o-t'vxl)
gr, rlz
2*
: s.5 r?_
b!
=f ,ry =ls, lg)]=Ds, ry'11,5
Paeet &3
Instructor: mtlccourses
Student:
lnate:
tTime:
7t.
mtlccourses
Assignment: Practice Test
3
Course: Math 110 MWF Coordinator Spring
2012
Book Lial: Finite Mathematics,9e
Find the percentage of area under a normal curye betweeo th€ mean and the given number of standard
{r4i*iog. from the mean. This problem can be solved using technology or the table for the
normal curve from your text.
elcj< here to view page I of thel4bbelLck here to view page 2 of lhe talie.
sd&il
*
1.2
betrnreen the mean
and
-
r'2 standard deviations from the
:':;,*"
$*:j'F,trffi
Area under a normal curve to the left
ofz
(page 1)
Ndq'.
$^rtt"*q& p^il-Qh
G.*t
t**o^*^tN"*1,
[\t Ns^,'
S\"Y^.*\$ tl rs e
+"^dr*\ ^-.r*"-[ 5r^tln^
J.a; tu+ill^t (."*
<= :1,2
S., !^)c,^1,
Sc^\"^\
\^rorfrv
9\-o-f
f
"^S**t=u
=-)'Z G^J
\^tr{r*-R\
\*t,Q.' fi^"J
v!}"$
t
\Nq
#-*ry{4-?r r-W
,
Q.sctoo
0 JlBl
S'$..'"S'\
Q.]t\9
= ?tlJ'/":3X1"
=-r
1{5$^.).qs^s"J
\,/
ragellY
I
Instructor: mtlccourses
Student:
i
1a
mtlecourses
Assignment: Practice Test 3
Course: Math 110 MWF Coordinator Spring
2012
Book Lial: Finite Mathematics, 9e
lDate:
lTime;
Find the percent of the total area under the standard nonnal curve between the following z-scores. This
problem can be solved using technology or tle table for the standard normal curve from your text.
the table.
e liqkhere to yiew p4ge I of the tableClick here to viewffilf
z:0.7
wrdz:|.l
et.[)
The percent of the total area between z = 0.7 and z
(Round to the nearest whole percent as needed.)
: t. t is []
%.
Area under a normal curve to the left of z (page 1)
t:o;?
Jdky
&&V
t=.1.1
?=t.r --) o.t(+13
Sut+n"f
{:o..) -+j.lttt s*t'l*t
ffi=ro,t3q.*@
Page(D&S
Instructor: mtlccourses
mtlccours€s
Assignment: Practice Test
3
Course: Math 110 MWF Cmrdinator Spring
2012
Book: Lial: Finite Mathematics, 9e
73.
Find the percent of the total area under the stmdard normal curve between the following z-scores. This
problem can be solved using technology or the table for the standard normal curve from your text.
e UsLbeielavrerv lage I olthe tablq.Click hple to vlew page? oflhe tirble,
z= -
1.3
andz: *
0.65
z: - 0.65 isllK
(Round to rhe nearest whole percent as needed.)
y)
C
The percent of the total area betwesn z
=
-
|
.3
and
0
\7
Area under a normal curv€ to the left of z (page 1)
[:.lJ
.-D ,\-
c;t35l
r^na
A
t
Xot *, f
l:.Q,bf
= - 0,65
O.tSl[
->
: * l'3o
o'ot 6t S"tld
-\
0.
-
nageSLt
6
0 -l-f 6,lo%
jstudent:
Instructor: mtlccourses
iDate:
Course: Math 110 MWF Coordinator
jnme:
mtlccourses Arsignment:
Spring
Practice Test
3
i
I
I
74.
Find the z-score that best satisfies the conditiop. This pmblem can be solvsd using technology or the table
for the standard norrnal curve from yorr text.
Click here Lorriewpagd qlthe tableClick here tq view page 2 qflhc table.
33%
-
fffutal arf is to the left of z.
'=if\-oXt+\
(Round tolhe.nearesi.#rndreclth as needed.)
Area under a normal curve to the left of z (page 1)
Q\^^:l
{,q
\^}q c.^s* Jd
$w{;ff
S\ \^A \sq"I rb a".K d"."\'u"q$ b4 q hru
(iJ S^e- N,-")zr^.-Q,."+\ o.B (0" oi_SquoL_
"^J
-0.4
o.3446
-0.3
0.3821
*11rw5,
0.3409 0.33',72
0.3783 0.374s
0.3336
0.3264
0.3228
0.3192
0.3707
3669 0.3632
0.3-594
0-3557
?= -e.\y
Pagetl
f?
0.3156
0.3520
0.312r
0.3483
i
Instructor: mtlccourses
Student:
lDatet
rTime;
75.
mtlccoursss
Assignment: Practice Test
3
Course; Math 110 MWF Coordinator Spring
2012
Find the z-scoro that best satisfles the conditiqn. This problem can be solved using technology or the table
for the standard normal curve &om your text.
Click here lp view page I of lhe tablee Liqk hprs ts view pqgg 2 qf the table.
14% of pgtotalarea is to the right of z.
)
":ll[,ot
toM...t
(Round
hundredth as needed.)
Area under a normal curve to the left of z (page 1)
:*** tb+.*$*
-fr"\\lSr- a-tt
l-.lY
q\"
btr*tro{$hilil**
tb}\'rt?t+. r- A"-\r'
Fr- currn i,s )., So 9\* c^.\S\
1-in[1
f"M* h.a-:
: .t6
SD. hs\.r \,.\ t\^'q \^*\" a^'ar. +b E[ {t1, 1oL
fl^.j**I
tr5\ c\s .x \* dt4"0^ri0\^s d?n^I.Qe-^u
up.; g\-o\,,*).{^taq\ ULq
^cj".xs
{o
O..6Lb\ c-^.1
0.00
0.01
0.02
0.M13
0.8438
0.8461
0.8643
0.8665
*J\*S
t
0.8686
S"- t "J_\
0.03
0.04
0.8531
0.8485
0.8708
0.05
0.8129
0.8149
= l.ut
Page
la$
[.!&
cssocadlA_
0.06 0.07
0.8554 0.85
0.8770 0.8790
t-\jCh\
0.8810
0.09
o.8621
0.8830
I
Instrurtorr mtlccourses
Student:
iDate:
mtlccowses
Assignment: Practice Test
3
lTime:
t
i
I
i
i
Course: Math 110 MWF Coordinator Spring
2012
Book: Lial: Finite Mathematics, 9e
_
i
I
l
i
i
;
brand The number of light bulbs that can be expected to
of nondefective light bulbs is normally distributed, lasg6e*drar-t21Q hr is
with amean lifeof 1200 hrand astandarddeviation
Suppose that the life expectancy of a certain
of
n $5 Y 6O) h,,
*',
\17
50hr.
If
50,000 of these bulbs are produced, how many
can be expected to last less than l270tr?
Use the following links to view the StandardNormal
Distribution table.
e1ict bere 1s viery page I s_f tlrc lab]e.
Click here to view oase 2 of the table.
#t;Jffi,#.;L$)",9,lr*)
z= +
X- N(t2oo,so) I
=
p(xz.rzro)=qCa-#")
F(z.R)
( (lLl-\)
k'm+J,r
llL
c3
=
(qr,qfA
\
5o o.qtiz
t\H--\$tr sdth,\..
t^r.N'H\ 6r\'
[hK
: @Q.'Ill
Cc-L s,rO".t*i*o los" $r"^ )Og\urnrJ
T\r^-
-L- Sc, cb-b
(s o .,ob) (.q I 1 L)
c^
Page*U
I
l-
Instructor: mtlc€ourses mtlccourses Assignment Practice Test 3
Student:
Course: Math 110 MWF Coordinaior Spring
2012
Book: Lial: Finite Mathematics,9e
iDate:
lTime:
i
with
a mean
gltl
life of 1300 hr and a standard deviation
of 150 hr.
If 60,000 of these bulbs are produced, how many
will last between 1105 hr and 1495 hr?
Use the following links to view the Standard Norrnal
Distribution table.
elck-here to vrew page
1
o{.let4ble,,
+-= K#
\*tv03b\lso); t=
F(t I o5
( xr. lvr) = P(u53ou LL. uT'3.j
:flh1,3
-T- Lz1 li)
'
|
uk"r\ ..ofio3l- -JL*V
t-;ffi;n$'^*
5c b,\0bv (to,[vgJ q n" b.Ats rAg$9)^;rcnJ;iu^
n-* a^* 6o,ocD t"tll-59
^
(6" ooq (.Bote) =Q\3$b*[ls
eG--Lqdr&d"J S eq*trRer^ llost lv{J }-,0'. r.
Paeell3$
lstudent
Instructor: mtlccourses
mtlccourses
Assignment: Practice Test
3
Course: Math 110 MWF Coordinator Spring
ln"t*t
lTime:
I
2Al2
Book Lial: Finite Matlematics,
9e
A company installs 5000 light bulbs, each with an average life of 500 hours, standard deviation of 100
78.
Y - 0.7 ^[ ho*r, and disnibution approximated by a normal curve. Find the apprqximate number of bulbs that can be
"
to tast the specified period ortime.
^X^* ( frO ,f OO)
ffiF"Wff"t
je
i;;(;i
: I - P(z
ry
$+N)
4ss -,'-pe.;1g) =l-0.11
'v
--
-
too@
t
i
a=d5s',-,,
79.
(sooo nu)(o.oo\z)
..'W
lN =0,q0t1
< +t t,^tb
A company installs 5000 light bulbs, each with an average life of 500 *To"uard deviation of 100
hourso and distribution approximated by a normal curve. Find the approximate number of bulbs that can be
X-
N
(soo,rot, ?=
\s=\!F
ruffi"louEltiiffi$,
.in ,,,fts"o =P(}Ltu%P) -_3(z-o
i,-:)8. 1000
;..'.iC. 2400
,..-.)D. 2500
80.
Gcxru
t^lt}
= C.Soob
(o" sos)
=3Ecp t*!"tr
A company installs 5000 light bulbs, each with an average life of 500 hours, standard deviation of 100
hours, and distribution approximated by a normal curve. Find the approximate number of bulbs that can be
t
&ffiSl$ffi';5ffiTi'v-rv(so,)^), =
i-
A 4700 P (rou
2256
4800
Csooo
.;
z-
6r
f)
--
?
3 x : soq
P(*** L+.
trT;39
-T Lt-LJs)
=f(o.
CL
oeser
I lo.k?
* o.Soos (,"t}"^t
tJt.r)(o.ys??)
:
t2i1.s r
rage'Oll
o,y'qg
&e
b'"lts