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Quadratic_Equations/411127: Completing the square?
Can someone show me the steps to completing the square for this please?
- 1/5x^2 - 1/2x + 2 = 0
1 solutions
Answer 289000 by edjones(7569)   on 2011-02-18 15:59:19 (Show Source):
You can put this solution on YOUR website!- 1/5x^2 - 1/2x + 2 = 0
x^2 + 5x/2 - 10 = 0 multiply each side by -5.
x^2 + 5x/2 + 25/16 = 10 + 25/16
(x+ 5/4)^2=185/16
x + 5/4 = +-sqrt(185)/4
x=(-5+-sqrt(185))/4
x=(-5+sqrt(185))/4, x=(-5-sqrt(185))/4
.
Ed
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Miscellaneous_Word_Problems/411029: The lengths of the sides of a quadrilateral (four sided shape) are unknown. The sides are marked 3x, 5x, 7x and 10x. Its perimeter is 50 inches. Determine the length of each side. Show all of your work. Check your answer. Write a statement identifying the lengths.
1 solutions
Answer 288993 by edjones(7569) on 2011-02-18 15:34:55 (Show Source):
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Probability-and-statistics/411030: On average, 17% of all items produced are defective. The inspector misclassifies an item 9% of the time. What proportion of the items will be "classified as good"? What is the probability than an item is defective given that it was classified as good?
1 solutions
Answer 288991 by edjones(7569) on 2011-02-18 15:32:01 (Show Source):
You can put this solution on YOUR website!What proportion of the items will be "classified as good"?
1-.17=.83 are good and .17 are defective.
.83*.09=.0747 misclassified defective
.83-.0747=.7553 called good that are good.
.17*.09=.0153 misclassified good
.7553+.0153=.7706 Answer.
.
What is the probability than an item is defective given that it was classified as good?
.0153/.7706=.0199
.
Ed
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Probability-and-statistics/411070: *Show work
From a survey of 82 students was found that:
34 like playing basketball
28 like playing football
32 like playing soccer
14 like playing both basketball and football
10 like playing both footbal and soccer
9 like playing both basketball and scoccer
6 like playing all three sports
Find: a)how many students play only one sport?
b) how many students do not like to play these sports?
c) how many students play basketball and football but not soccer?
1 solutions
Answer 288984 by edjones(7569) on 2011-02-18 15:11:13 (Show Source):
You can put this solution on YOUR website!Did you make the 3 circle Venn diagram? If you don't you will get lost and flunk!
.
a)17+10+19=46
.
b)82-46-15-6=15
.
c)17+10+8=35
.
Ed
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Probability-and-statistics/411073: Let U ={a,b,c,d,e,f,g,h,i} be the universal set and A = {a,b,c,e}, B={c,e,d,f}, and C= {g,h,i}. Find
a) A U B and A ∩ B
b) B U C and B ∩ C
c) Ac and Ac U C
*c= compliment
*Show work
1 solutions
Answer 288983 by edjones(7569) on 2011-02-18 14:59:34 (Show Source):
You can put this solution on YOUR website!a)
A U B = {a,b,c,d,e,f}
A n B = {c,e}
.
b)
B U C = {c,d,e,f,g,h,i}
B n C = {}
.
c)
Ac = {d,f,g,h,i,}
Ac U C = {d,f,g,h,i,}
.
Ed
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Functions/411084: Suppose you are paying your cell phone bill. The function C(m) represents the Cost (C) of your monthly bill with (m) representing minutes. Given the equation:
C(m)=0.25(m) Please find C(894) and C(1526). Hint: 894 and 1526 are the inputs. Place the value into the equation and solve.
1 solutions
Answer 288982 by edjones(7569) on 2011-02-18 14:43:14 (Show Source):
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Probability-and-statistics/411097: Based on available data from previous years, it is known that approximately 15% of the entire Clifton community (those with medical record addresses that indicate residence in Clifton, NJ) is hospitalized at least once during a year. If 15 people in this community are randomly interviewed, what is the probability that:
All have been hospitalized at least once during the year.
1 solutions
Answer 288979 by edjones(7569) on 2011-02-18 14:37:13 (Show Source):
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test/411101: could you please help me with this word problem dealing with probability?
a family owns 2 cars, a 12 yr old geo and a 1 yr old prizm. on any given morning, the probabilities that the cars will start are 0.98 and 0.84 for the geo and prism, respectfully. if the probability at least one car will start Is 0.9968, what is the probability that both will start.
thank you so much for your time and help!
1 solutions
Answer 288978 by edjones(7569) on 2011-02-18 14:33:10 (Show Source):
You can put this solution on YOUR website!Let x=the intersection of each car starting on a Venn diagram i.e. the probability that they will both start.
.98+.84-x=.9968
-x=-.8232
x=.8232 the probability that both will start.
.
Ed
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Quadratic_Equations/411107: I am struggling to fufil my teacher's task. She asked me to right out all the steps to slove the following problems using the quadratic formula. The problems are x^2+20x+100=64 , 4x^2+4x+1=16, 36x^2+12x+1=18, 9x^2-12x+4=4, and 25x^2 - 30x+9=96. I know this is alot. I am seriously struggling in Algebra 2 and I am in great need of a tutor.
1 solutions
Answer 288972 by edjones(7569) on 2011-02-18 13:56:46 (Show Source):
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test/411104: I am having difficulties with this problem. could you please help me?
a factory needs 2 raw materials, say, E and F. the probability of not having an adequate supply of material E is 0.06, whereas the probability of not having an adequate supply of material F is 0.04. a study shows that the probability of a shortage of both E and F is 0.02. what is the probability of the factory being short of either material E or F?
thank you!!
1 solutions
Answer 288971 by edjones(7569) on 2011-02-18 13:50:48 (Show Source):
You can put this solution on YOUR website!Make a Venn diagram with an itersection of .02
.04+.02+.02=.08 the probability of the factory being short of either material E or F.
.
Ed
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Problems-with-consecutive-odd-even-integers/411010: A survey of 350 customers was taken at Regal Cinemas in Austin, Texas, regarding the type of movies customers liked. The following information was determined
* 196 liked dramas.
* 153 liked comedies.
* 88 liked science fiction.
* 59 liked dramas and comedies.
* 37 liked dramas and science fiction.
* 32 liked comedies and science fiction.
* 21 liked all three types of movies.
Of the customers surveyed, how many liked
* a) none of these types of movies?
* b) only dramas?
* c) exactly one of these types of movies?
* d) exactly two of these types of movies?
* e) dramas or comedies?
1 solutions
Answer 288939 by edjones(7569) on 2011-02-18 11:38:28 (Show Source):
You can put this solution on YOUR website!Did you make a 3 circle Venn diagram?
a)350-83-121-40-38-16-11-21=20
b)196-38-16-21=121
c)40+121+83=244
d)11+38+16=65
e)330-88=242
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Ed
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Miscellaneous_Word_Problems/411018: The probability that a man will live for 10 more years is 2/5 and the probability that his wife will live for ten more years is 4/7. What is the probability that both will be alive in ten years?
1 solutions
Answer 288932 by edjones(7569) on 2011-02-18 11:20:25 (Show Source):
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Functions/411037: A basketball team plays in an arena with a seating capacity of 10,000 spectators. With the ticket price set at $12, average student attendance at recent games has been 5,000 spectators. A market survey indicates that for each dollar the ticket price is lowered, the average attendance increases by 250. Write a function that expresses the revenue in terms of x, the number of dollar decreases in ticket price.
1 solutions
Answer 288930 by edjones(7569) on 2011-02-18 11:17:56 (Show Source):
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Quadratic_Equations/411036: A rectangular area borders on a stream. A farmer has 400 feet of fencing and intends to use it to fence in the other three sides. Express the area in terms of one of its sides, x.
1 solutions
Answer 288927 by edjones(7569) on 2011-02-18 11:02:09 (Show Source):
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Probability-and-statistics/411034: The 2009 standard Texas license plate design is of the form BB1B111 (2 letters followed by 1 number; then 1 letter followed by 3 numbers). Texas plates do NOT use vowels. You decide to select a plate at random under these conditions.
c) What is the probability that your plate contains your favorite consonant?
1 solutions
Answer 288922 by edjones(7569) on 2011-02-18 10:48:47 (Show Source):
You can put this solution on YOUR website!There are 5 traditional vowels in English.
26-5=21 consonants
There are 3 consonants on each plate.
The consonants are used with replacement so this is a binomial expansion problem.
Probability of you consonant in the first letter is 1/21
(20/21)^3=.8638 probability that none of the letters contain your favorite.
1-.8638=.1362 the probability that your plate contains your favorite consonant.
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Functions/411017: I need help, please!!!
Suppose you are paying your cell phone bill. The function C(m) represents the cost C of your monthly cell phone bill with m representing the minutes. Given the equation: C(m)=0.25(m) What does the number 0.25 represent.
Find C(894).
C(1526)
1 solutions
Answer 288920 by edjones(7569) on 2011-02-18 10:29:09 (Show Source):
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Probability-and-statistics/411031: 55% of students have paid scholarships. If 4 students are selected at random, find the probability that none have assistantships. Find the probability that at least 1 has an assistantship.
1 solutions
Answer 288919 by edjones(7569) on 2011-02-18 10:23:57 (Show Source):
You can put this solution on YOUR website!assuming that a paid sholarship is an assistantship:
1-.45^4
=1-.041
=.959 the probability that at least 1 has an assistantship.
.
.041 the probability that none have assistantships
.
Ed
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Polynomials-and-rational-expressions/411026: Hi, I do not understand how to reduce or when to reduce the fraction within the quadratic equation. I came up with this answer. Would you please show me how to reduce for the final answer? Thanks.
-x^2+6x-21=0
(-1)-x^2+6x-21=0(-1)
x^2+6x-21=0
-6+-sqrt((6)^2-4(1)(-21))/2(1)
-6+-sqrt(36+84)/(2)
-6+-sqrt(120)/(2)
-6+-sqrt(6(20))/(2)
-6+-sqrt(6)/(2)
-6+- 20 sqrt(6)/(2)
-?+- sqrt(6)/(10) (thought we divide -6/20 then divide 2/20) leaves the 6
1 solutions
Answer 288918 by edjones(7569) on 2011-02-18 10:16:02 (Show Source):
You can put this solution on YOUR website!a=-1, b=6, c=-21
x=(-6+-sqrt(36-4*21))/-2 not /2 and not -4(1)(-21) should be -4(-1)(-21)
=(-6+-sqrt(-48))/-2
=(-6+-4sqrt(3)i)/-2
=3+-2sqrt(3)i
=3+2sqrt(3)i, =3-2sqrt(3)i
.
Ed
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Polynomials-and-rational-expressions/411024: I am having trouble reducing the fraction within the quadratic equation. Would you please check my process to see if I did it right and help me with the ending part?
(4x-3)^2=0
(4x-3)(4x-3)=0
16x^2-12x-12x-9=0
16x^2-24x-9=0
-24+- sqrt((24)^2-4(16)(-9))/(2(16))
-24+- sqrt(576+576)/(32)
-24+- sqrt(1152)/(32)
-24+- sqrt(8(144))/(32)
-24+- sqrt(4(2)(144))/(32)
-24+- 12(2) sqrt(2)/(32)
-24+- 24 sqrt(2)/(32)
-1+- sqrt(3(1)/(3)
1 solutions
Answer 288914 by edjones(7569) on 2011-02-18 09:59:08 (Show Source):
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Money_Word_Problems/410555: You are thinking about opening a copy center. your fixed costs are $6000 per month. You will charge customers 7cents(.07)per copy.The cost of materials is in addition to your fixed costs and is estimated at 2 cents(.02) per copy. How many copies must you make each month in order to break even?
1 solutions
Answer 288690 by edjones(7569) on 2011-02-17 10:47:51 (Show Source):
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Rate-of-work-word-problems/410571: Jane, Paul and Peter can finish painting the fence in 2 hours. If Jane does the job alone she can finish it in 5 hours. If Paul does the job alone he can finish it in 6 hours. How long will it take for Peter to finish the job alone?
1 solutions
Answer 288679 by edjones(7569) on 2011-02-17 10:21:46 (Show Source):
You can put this solution on YOUR website!In one hr jane doe 1/5 the job, paul does 1/6 and peter does 1/x and together they can do 1/2 the job in one hr.
1/5 + 1/6 + 1/x = 1/2
6x+5x+30=15x multiply each side by 30x LCM.
-4x=-30
x=15/2 hrs
.
Ed
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Problems-with-consecutive-odd-even-integers/410559: The Wildlife Federation surveyed 290 San Diego residents. The results are as follows:
44 had a membership to the Birch Aquarium
79 had a membership to the San Diego Zoo
28 had both
Construct a Venn diagram
Answer the following questions:
i. How many had only a zoo membership?
ii. How many had only an aquarium membership?
iii. How many belonged to either one or the other or both?
iv. How many belonged to neither?
please some one help me with this and walk me through it
1 solutions
Answer 288674 by edjones(7569) on 2011-02-17 10:02:11 (Show Source):
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