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edjones answered: 7568 problems
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Probability-and-statistics/376713: If 29 tickets are sold and 2 prizes are to awarded, find the probability that one person will win 2 prizes if that person buys 2 tickets. Enter your answer as a fraction or as a number rounded to three decimal places.
1 solutions

Answer 267994 by edjones(7569) About Me  on 2010-11-27 23:02:39 (Show Source):
You can put this solution on YOUR website!
2/29 * 1/28 = 1/406
.
Ed


Geometry_Word_Problems/376526: How do I properly solve this FOILING problem?
-6rs^2(3r-2s-3)

1 solutions

Answer 267890 by edjones(7569) About Me  on 2010-11-27 14:05:59 (Show Source):
You can put this solution on YOUR website!
This is not a FOIL problem.
Multiply -6rs^2 times each number individually.


Linear-equations/376541: Hi Need help solving this problem!!
x – 2y = –9 x + 3y = 16
1 solutions

Answer 267888 by edjones(7569) About Me  on 2010-11-27 14:00:46 (Show Source):
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do you want to solve for x or y?


Radicals/376531: √5x-1 = 10
1 solutions

Answer 267887 by edjones(7569) About Me  on 2010-11-27 13:58:59 (Show Source):
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sqrt(5x-1)=10
5x-1=100 square each side.
5x=101
x=101/5
.
Ed


Equations/376540: Which of the following systems has (5,2) as a solution?
I.) 3x + y = 1
2x + 3y = -11
II.) 4x + 3y = 26
3x + 7y = 29


1 solutions

Answer 267885 by edjones(7569) About Me  on 2010-11-27 13:54:23 (Show Source):
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replace x with 5 and y with 2 to find which gives the correct answer.
.
Ed


Probability-and-statistics/376507: * A lot of 75 washers contains five in which the variability in thickness around the circumference of the washer is unacceptable. A sample of 10 washers is selected at random, without replacement.
i) What is the probability that at least one unacceptable washer is in the sample?
ii) What is the probability that at most one unacceptable washer is in the sample?

1 solutions

Answer 267850 by edjones(7569) About Me  on 2010-11-27 12:27:13 (Show Source):
You can put this solution on YOUR website!
This is a hypergeometric distrribution.
i)
1-(70C10/75C10)
=1-.4786
=0.5214
.
ii)
(70C10 + (70C9 * 5C1))/75C10
=.8708
.
Ed


Probability-and-statistics/376335: 1. an ice chest contains 3 cans of apple juice, 5 cans of grape juice, 8 cans of orange juice and 2 cans of pineapple juice. You randomly select 3 cans succession. find the probability of selecting no grape juice?
2. the winner of a raffle will receive a new car. If 10,000 raffle tickets were sold and you purchased 25 tickets, what are the odds against your winning the car?
3. If you are given odds 3 to 7 in favor of winning a bet, what is the probability of winning the car?

1 solutions

Answer 267759 by edjones(7569) About Me  on 2010-11-26 20:17:23 (Show Source):
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3.
7+3=10
3/10
.
Ed


Quadratic_Equations/376338: how do i write a quadratic expression from the answer, the answer being; - sqrt(5), 6 sqrt(5) ??
please demonstrate so i can learn this.
1 solutions

Answer 267755 by edjones(7569) About Me  on 2010-11-26 20:11:38 (Show Source):
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x=-sqrt(5), x=6sqrt(5)
(x+sqrt(5))(x-6sqrt(5))=0
f(x)=x^2-5sqrt(5)x-30 FOIL


Probability-and-statistics/376332: if you are dealt 5 cards from a deck of 52 cards, find the probability that all 5 cards are picture cards
1 solutions

Answer 267753 by edjones(7569) About Me  on 2010-11-26 20:05:54 (Show Source):
You can put this solution on YOUR website!
nCr=Cobination of n things taken r at a time=n!/((n-r)!r!)
There are 12 picture cards in a deck.
12C5/52C5
=792/2598960
=.0003047


decimal-numbers/376204: like how do you round the numbers and then get x and 0 and things?
1 solutions

Answer 267749 by edjones(7569) About Me  on 2010-11-26 19:56:48 (Show Source):
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Submit problems you are having trouble with and we will answer them.


Probability-and-statistics/376250: In an urn there are several color marbles, 8blue, 11white, 6yellow, 6red. You are to choose 5 marbles randomly. What is the probability that 4 or more are white marbles? (Please note step by step)
1 solutions

Answer 267742 by edjones(7569) About Me  on 2010-11-26 19:44:01 (Show Source):
You can put this solution on YOUR website!
8+11+6+6=31 marbles total.
nCr=Combination of n things taken r at a time=n!/((n-r)!r!)
.
(11C4*20C1 + 11C5)/31C5
=((330*20)+462)/169911
=(6600+462)/169911
=7062/169911
=0.0416
.
Ed


Probability-and-statistics/376285: The probability that a given tourist goes to amusement park is 0.47, and the probability that she goes to the water park 0.58. if the probabitiy that she goes to either the water park or the amusement park is 0.95, what is the probability that she visit both of the parks on vacation
1 solutions

Answer 267734 by edjones(7569) About Me  on 2010-11-26 19:25:09 (Show Source):
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A + W - (A n W) = A U W
.47+.58-x=.95
x=.10 the probability that she visit both of the parks on vacation.
.
Ed


Probability-and-statistics/376318: if you draw 2 clubs on 2 consecutive draws from a standard deck of cards you win $23 otherwise you pay me $3 cards drawn without replacement enter the expected value of proposition
1 solutions

Answer 267727 by edjones(7569) About Me  on 2010-11-26 19:09:42 (Show Source):
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13/52 * 12/51 = 1/17
16*-3=-48
23*1 =23
----------add
=====>-$25. expected value of proposition.
.
Ed


Probability-and-statistics/376288: Cable Television In 2006, 86% of U.S. households had
cable TV. Choose 3 households at random. Find the
probability that
a. None of the 3 households had cable TV
b. All 3 households had cable TV
c. At least 1 of the 3 households had cable TV
1 solutions

Answer 267725 by edjones(7569) About Me  on 2010-11-26 19:03:00 (Show Source):
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Let x=.86, y=.14
(x+y)^3 Binomial expansion.
.
a) y^3=.0027
.
b) x^3=.6361
.
c)1-y^3=1-.0027=.9973
.
Ed


Probability-and-statistics/376315: The senate in a certain state is compromised of 54 republicans, 44 democrats, and 2 independents? How many commities can be formed if there has to be 5 republicans and 2 democrats?
1 solutions

Answer 267723 by edjones(7569) About Me  on 2010-11-26 18:55:58 (Show Source):
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54C5 * 44C2 * 2C0
=3162510*946
=2,991,734,460
.
Ed


Probability-and-statistics/375906: Elaine is 65 years old, and has the probability that she will be alive in 10 years is 76%. John is 35, and the probability that he will be alive in 10 years is 90%. What is the brobability they will be both alive in 10 years?
1 solutions

Answer 267454 by edjones(7569) About Me  on 2010-11-25 08:14:00 (Show Source):
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.76 * .90 = .684
.
Ed


Probability-and-statistics/375910: in a school,45% of the students are boys and 55% are girls. in this school, 12% of the boys are left handed and 9% of the girls are left handed. a student is to be chosen at random using a tree diagram
a) calculate the probability that the student is not left handed
Given that the student chosen is left handed,
b)calculate, to 3 significant figures,the probabillity that the student is a girl
1 solutions

Answer 267453 by edjones(7569) About Me  on 2010-11-25 08:11:03 (Show Source):
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We can't do tree diagrams on this site.
.
a) (.45*.88)+(.55*.91)=.8965
.
b)
.45*.12=.0540 LHB
.55*.09=.0495 LHG
----------------
=======>.1035 Total LH
.
.0495/.1035 = .478 Given that the student chosen is left handed, the probabillity that the student is a girl.
.
Ed


Probability-and-statistics/375961: in a online survey for talbots of 1095 women ages 35 yr and older the participants were asked what article of clothing women most want to fit perfectly a summary of the results of thesurvey follows
article of clothing responedents
jeans 470
black pantsuit 307
cocktail dress 230
white shirt 22
gown 11
other 55
if a women who participated in the survey is chosen at random what is the probabality that she most wants A) jeans to fit perfectly or b) a black paintsuit,or cocktail dress to fit perfectly


1 solutions

Answer 267451 by edjones(7569) About Me  on 2010-11-25 07:46:13 (Show Source):
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jeans 470
black pantsuit 307
cocktail dress 230
white shirt 22
gown 11
other 55
----------add
====> 1,095 Total
.
a) 470/1095 = 94/219
.
b)
(307+230)/1095
=179/365
.
Ed


Probability-and-statistics/376017: USA Today reports that about 25% of all prison parolees become repeat offenders. Alice is a social worker whose job is to counsel people on parole. Let us say success means a person does not become a repeat offender. Alice has been given a group of four parolees.
(a) Find the probability P(r) of r successes ranging from 0 to 4.
(b) What is the expected number of parolees in Alice's group who will not be repeat offenders? What is the standard deviation?
1 solutions

Answer 267449 by edjones(7569) About Me  on 2010-11-25 07:31:34 (Show Source):
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let x=.75 and y=.25
(x+y)^4 Binomial distribution.
.
a)
x^4=.3164 P(4)
4x^3y=.4219
6x^2y^2=.2109
4xy^3=.0469
y^4=.0039 P(0)
.
b)
mean=n*p=4*.75=3 the expected number of parolees in Alice's group who will not be repeat offenders.
Standard deviation=sqrt(np(1-p))
=sqrt(4*.75*.25)
=sqrt(.75)
=0.8660
.
Ed


Numeric_Fractions/376033: find a number such that nine added to two times the number is equal to the product of the number and the quantity of one added to the number
1 solutions

Answer 267441 by edjones(7569) About Me  on 2010-11-25 06:42:53 (Show Source):
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2x+9=x(x+1)
2x+9=x^2+x
x^2-x-9=0
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation ax%5E2%2Bbx%2Bc=0 (in our case 1x%5E2%2B-1x%2B-9+=+0) has the following solutons:

x%5B12%5D+=+%28b%2B-sqrt%28+b%5E2-4ac+%29%29%2F2%5Ca

For these solutions to exist, the discriminant b%5E2-4ac should not be a negative number.

First, we need to compute the discriminant b%5E2-4ac: b%5E2-4ac=%28-1%29%5E2-4%2A1%2A-9=37.

Discriminant d=37 is greater than zero. That means that there are two solutions: +x%5B12%5D+=+%28--1%2B-sqrt%28+37+%29%29%2F2%5Ca.

x%5B1%5D+=+%28-%28-1%29%2Bsqrt%28+37+%29%29%2F2%5C1+=+3.54138126514911
x%5B2%5D+=+%28-%28-1%29-sqrt%28+37+%29%29%2F2%5C1+=+-2.54138126514911

Quadratic expression 1x%5E2%2B-1x%2B-9 can be factored:
1x%5E2%2B-1x%2B-9+=+1%28x-3.54138126514911%29%2A%28x--2.54138126514911%29
Again, the answer is: 3.54138126514911, -2.54138126514911. Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+1%2Ax%5E2%2B-1%2Ax%2B-9+%29

.
Ed


Probability-and-statistics/375981: A dart is thrown randomly and stick on the circular dart board with 26 partitions. determine the probability that the dart lands on the area marked with a number greater than four and less than or equal to 13.
1 solutions

Answer 267399 by edjones(7569) About Me  on 2010-11-24 22:24:10 (Show Source):
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There are 9 numbers greater than four and less than or equal to 13.
9/26 Probability.


Permutations/376002: A& B are two players. They need to select one number from 1 to 25. If both the players select the
same numbers they will win the prize. What is the probability of not winning in a single trial?

1 solutions

Answer 267398 by edjones(7569) About Me  on 2010-11-24 22:19:53 (Show Source):


Probability-and-statistics/375582: The Sad State Lottery requires you to select a sequence of three different numbers from zero through 53. (Order is important.) You are a winner if your sequence agrees with that in the drawing, and you are a booby prize winner if your selection of numbers is correct, but in the wrong order. (Round all answers to three significant figures. Enter the answers in scientific notation.)
What is the probability of being a winner?
1
What is the probability of being a booby prize winner?
2
What is the probability that you are either a winner or a booby prize winner?
3
1 solutions

Answer 267168 by edjones(7569) About Me  on 2010-11-24 01:18:26 (Show Source):
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nPr=n!/(n-r)!
.
1)
nPr=n!/(n-r)!
1/(53!/(53-3)!)=1/140,556
.
2)
nCr=n!/((n-r)!r!)
1/(53!/(50!*3!))-(53!/(53-3)!)
=1/23,426 - 1/140556
=6/140556 - 1/140556
=5/140556
.
3)
5/140556 + 1/140,556
=6/140,556
.
Ed


Money_Word_Problems/375578: Suzy has a bag containing 2 red marbles, 2 green ones, 5 white ones, and 5 purple ones. She grabs 7 of them. Find the probability that she has all red ones. Express the answer as a fraction in lowest terms.
1Your answer is incorrect.
1 solutions

Answer 267166 by edjones(7569) About Me  on 2010-11-24 01:04:11 (Show Source):
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She can't possibly have all red ones. There are only 2 red ones and she took 7.


Rate-of-work-word-problems/375331: a mason's helper requires 4 hours more to pave a concrete walk than it takes the mason. the two worked together for 3 hours when the mason war called away. the helper completed the job in 2 hours. how long would it take each to do the same job working alone?
1 solutions

Answer 267034 by edjones(7569) About Me  on 2010-11-23 15:09:23 (Show Source):
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Mason does job in m hours. Helper does job in m+4 hours.
t=time in hrs
1/m + 1/(m+4)=(2m+4)/(m^2+4m) = 1/t
3 * (2m+4)/(m^2+4m) = (6m+12)/(m^2+4m) = 3/t
1 - (6m+12)/(m^2+4m) time remaining [1 - 3/t]
2 * 1/(m+4)= 1 - (6m+12)/(m^2+4m)
2/(m+4)=1 - (6m+12)/(m(m+4))
2m=m^2+4m-6m-12
m^2-4m-12=0
(m-6)(x+2)=0
m=6 hr
m+4=10 hr
.
Ed


Probability-and-statistics/375313: Question1.In a college class of 100 students,54 studied mathmatics,69 studied history,and 35 studied both mathmatics and history.if one of these students is selected at random,find the probability that.
a.the student takes mathmatics or history
b.the student does not take either of these subjects
c.the student takes history but not mathmatics
1 solutions

Answer 267001 by edjones(7569) About Me  on 2010-11-23 13:17:37 (Show Source):
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Make a Venn Diagram so you understand this!
M=math, H=history, M'=non math, U=union, n=intersection
.
a) M U H = (19+35+34)/100 = 88/100 = 22/25
.
b) M' n H' = (100-88)/100 = 12/100 = 3/25
.
c) H n M' = 34/100 = 17/50
.
Ed


Equations/375339: a) {x + 3y = 42
{ x = 4y
_________________
b) { x + 16y = 24
{2x - 16y = 12
_________________
c) {4x + y = 10
{5x - 3y = 9
_________________
d) {3x + 5y = 1
{6x + 3y = 2
_________________
e) { 4p - 3q = 9
{ -3p + 2q = -5
_________________
f) {3c + 12d = 4
{2c + 8d = -3
_________________
g) {5x + 4 (y - 5) = x + 8
(x = 2 (y+1) - 4
_________________
h) {y = 2x + y
{ y = -3x + 1
1 solutions

Answer 266989 by edjones(7569) About Me  on 2010-11-23 12:31:32 (Show Source):
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x + 3y = 42
x = 4y
4y+3y=42
7y=42
y=6
x=24
.
Ed


test/375369: Equations.
4a-(3-a)=17.
2=5(5z-2)-9(3z-2)
1 solutions

Answer 266985 by edjones(7569) About Me  on 2010-11-23 12:26:28 (Show Source):
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5(5z-2)-9(3z-2)=2
25z-10-27z+18=2
-2z=-6
z=3
.
Ed


test/375371: 4a-(3-a)=17
2=5(5z-2)-9(3z-2)
1 solutions

Answer 266982 by edjones(7569) About Me  on 2010-11-23 12:22:21 (Show Source):
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4a-(3-a)=17
4a-3+a=17
5a=20
a=4
.
Ed


Distributive-associative-commutative-properties/375392: what is b+0=b identity communitive associative distributive or zero property
1 solutions

Answer 266981 by edjones(7569) About Me  on 2010-11-23 12:19:40 (Show Source):
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zero property


Polynomials-and-rational-expressions/375396: (√c-√d)/(√c+√d)
Rationalize the denominator. Assume that all expressions under radicals represent positive numbers. Help?
1 solutions

Answer 266978 by edjones(7569) About Me  on 2010-11-23 12:17:30 (Show Source):
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(√c-√d)/(√c+√d)
(sqrt(c)-sqrt(d))/sqrt(c)+sqrt(d) * (sqrt(c)-sqrt(d))/(sqrt(c)-sqrt(d))
=(x-2sqrt(x)sqrt(y)+y)/(x-y)
.
Ed