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edjones answered: 7568 problems
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Polynomials-and-rational-expressions/456556: We are working on rational expression and equations this week and I am completely lost with the following problem. 1. Divide and simplify b+3/b-9 / 9b+27/b-4 2. Solve the equation and check your answer. q+6/7 + q-2/2=8/7 3. Add. 6/z+3 + 9/7z 4. Subtract. Simplify, if possible. g/s+g - g/s-g These are the last ones I need help with, thank you very much for the help. 1 solutions Answer 313335 by edjones(7569)   on 2011-06-02 01:06:10 (Show Source): You can put this solution on YOUR website! 4) g/s+g - g/s-g g(s-g)-g(s+g)/(s+g)(s-g) (gs-g^2-gs-g^2)/(s^2-g^2) =-2g^2/(s^2-g^2) or 2g^2/(g^2-s^2) . Ed

Radicals/456581: 2 √25 + 3 √25 1 solutions Answer 313332 by edjones(7569)   on 2011-06-02 00:54:38 (Show Source): You can put this solution on YOUR website! 2 √25 + 3 √25 =5sqrt(25) =25 . Ed

Radicals/456587: what is 32 squared divided by 2 squared? 1 solutions Answer 313331 by edjones(7569)   on 2011-06-02 00:53:02 (Show Source): You can put this solution on YOUR website! 32^2/2^2 =1024/4 =256 . Ed

Polynomials-and-rational-expressions/456589: i need to factor this out the problem is 6a^2+7a-3 and im just getting stuck 1 solutions Answer 313330 by edjones(7569)   on 2011-06-02 00:51:11 (Show Source): You can put this solution on YOUR website! 6a^2+7a-3 6*-3=-18. Two factors of -18 whose sum is 7 are +9 and -2. 6a^2+9a-2a-3 =3a(2a+3)-(2a+3) =(3a-1)(2a+3) . Ed

Permutations/456585: There are 15 teams in the Eastern Conference of the National Hockey League for 2006-2007 season, divided into 3 divisions of 5 teams each. Eight of these teams will participate in the playoff. The division winner from each division goes to the playoff; in addition the next 5 ranked teams in the conference, based on regular season records will participate in the playoffs. How many different collections of eight teams from the Eastern Conference could go to the playoffs? 1 solutions Answer 313328 by edjones(7569)   on 2011-06-02 00:45:22 (Show Source): You can put this solution on YOUR website! 5^3=125 possible combinations of division winners. 12C5=792 Next 5 ranked teams in the conference. . 792+125=917 possible combinations (with the Boston Bruins winning it all this year) . Ed

Probability-and-statistics/456565: why cant you calculate median for nominal level data? 1 solutions Answer 313327 by edjones(7569)   on 2011-06-02 00:35:21 (Show Source): You can put this solution on YOUR website! Since nominal data such as a list of names has no numerical value then an average name or the median name have no meaning. The list does have a mode however, the commonest name in the list. . Ed

Permutations/456579: An advertising firm based in Boston has 12 advertising agents. Next week, agents must meet with 3 prospective clients in Orlando, Chicago, and Seattle. The firm will send 3 agents to Orlando, 4 to Chicago, and 3 to Seattle. Assuming no agent will travel to more than one destination, how many different arrangements of agents are possible to meet with 3 prospective clients? 1 solutions Answer 313318 by edjones(7569)   on 2011-06-01 23:57:35 (Show Source): You can put this solution on YOUR website! 10C3 * 7C4 * 3C3 =120*35 =4200 . Ed

Geometry_Word_Problems/456561: The volume of a box is 192 cubic inches. the hight is 4 inches the width is 2 inches more than the length. Find the missing dimensions. 1 solutions Answer 313317 by edjones(7569)   on 2011-06-01 23:54:03 (Show Source): You can put this solution on YOUR website! 4*2=8 192/8=24 the missing dimension. . Ed

Quadratic_Equations/456575: I have been working on a problem and I cannot figure out how to get an approximated answer to three decimals. Can you show me how to get this. This is what I have so far. In the right trianle, find the length of the side not given. Give an exact answer and an approximation to 3 decimal places. a = 13 b = 13 a+b=c 13^2+13^2=c^2 169+169=c^2 169+169=338 338=c^2 This is what I have so far. Take the square root of both sides c=338. The exact value of c is the sqrt of 338. The value approximated to three decimals is ? Am I doing this problem correctly? If I am I do not know how to get the value appoximated to three decimals. Can you help me please? 1 solutions Answer 313315 by edjones(7569)   on 2011-06-01 23:42:37 (Show Source): You can put this solution on YOUR website! sqrt(338)=18.385 Get a scientific calculator.

Radicals/456574: 11√7 - 3√7 1 solutions Answer 313314 by edjones(7569)   on 2011-06-01 23:36:16 (Show Source): You can put this solution on YOUR website! 11√7 - 3√7 =8sqrt(7)

Radicals/456568: sqrt( 15 )- sqrt ( 3/5 ) 1 solutions Answer 313313 by edjones(7569)   on 2011-06-01 23:34:36 (Show Source): You can put this solution on YOUR website! sqrt( 15 )- sqrt ( 3/5 ) =sqrt(15)-sqrt(3)/sqrt(5) =(sqrt(75)-sqrt(3))/sqrt(5) =(5sqrt(3)-sqrt(3))/sqrt(5) =4sqrt(3)/sqrt(5) =4sqrt(3)/sqrt(5) * sqrt(5)/sqrt(5) =4sqrt(15)/5 . Ed

Permutations/456559: In how many ways can the letters in the word “DIFFERENCE” be arranged? 1 solutions Answer 313312 by edjones(7569)   on 2011-06-01 23:26:47 (Show Source): You can put this solution on YOUR website! There are 10 letters. There are 3 Es, 2 Fs 10!/(3!*2!)=302400 . Ed

Functions/456480: Find the domain and range of: f(x)=sqrt(x-2) 1 solutions Answer 313292 by edjones(7569)   on 2011-06-01 21:23:44 (Show Source): You can put this solution on YOUR website! The domain is x[2, infinity) square root of a negative number is not allowed. The range is y[0, infinity) . Ed .

Number-Line/456450: 1. What integer is one-third of the distance from 4 to 2 on the number line? 2. What integer is three-fourths of the distance from 5 to 19 on the number line? 1 solutions Answer 313253 by edjones(7569)   on 2011-06-01 18:49:34 (Show Source): You can put this solution on YOUR website! 1)4-2=2 2 * 1/3 = 2/3 2 2/3 not an integer. . 19-5=14 14 * 3/4 = 21/2 = 10 1/2 5 + 10 1/2 = 15 1/2 not an integer. . Ed

Radicals/456448: what's -3radical of 120 ? 1 solutions Answer 313248 by edjones(7569)   on 2011-06-01 18:43:54 (Show Source): You can put this solution on YOUR website! -3sqrt(120) =-3sqrt(4*30) =-6sqrt(30) . Ed

Radicals/456436: (3 radical 5+ 2 radical 3)(3 radical 5 -2 radical 3) 1 solutions Answer 313245 by edjones(7569)   on 2011-06-01 18:41:24 (Show Source): You can put this solution on YOUR website! Let sqrt(5)=f and sqrt(3)=t (3f+2t)(3f-2t) =9f^2-4t^2 =9*5-4*3 =45-12 =33 . Ed

Probability-and-statistics/456318: QUESTIONS 1-5 ARE BASED ON THE FOLLOWING INFORMATION The fill in bottles of a wine is normally distributed with mean μ = 750 milliliters (ml) and standard deviation of σ = 9 ml. 1 For samples of size n = 64 bottles selected from this population, the mean of the sampling distribution of x̄ is _____ and the standard error of x̄ ______. a E(x̄) = 93.75 se(x̄) = 9 b E(x̄) = 750 se(x̄) = 9 c E(x̄) = 750 se(x̄) = 0.141 d E(x̄) = 750 se(x̄) = 1.125 2 "The probability that the mean of a sample of n = 64 bottles falls between 748 and 752 ml is, P(748 < x̄ < 752) = _____." a 0.9500 b 0.9250 c 0.8165 d 0.7154 3 The proportion of the means obtained from samples of size n = 64 bottles that fall within ±1 ml from the mean of the population of bottles is _____. a 0.6827 b 0.6266 c 0.5223 d 0.4039 4 The margin of error for the interval which contains 80% of all sample means is: MOE = _______. a 2.21 ml. b 1.85 ml. c 1.44 ml. d 1.29 ml. 5 To obtain a margin of error MOE = ± 1 ml for an interval that contains 95% of all sample means, the sample size is n = _____. a 312 b 217 c 159 d 122 1 solutions Answer 313234 by edjones(7569)   on 2011-06-01 18:26:49 (Show Source): You can put this solution on YOUR website! 1)s=9/sqrt(64)=9/8=1.125 m=750 . 2) z=2/1.125=1.78 area under curve for +-1.78=.9250 . 3) 1/1.125 = .89 area under curve for +-0.89=0.6266 . 4) For the area under the curve of 0.8 the z=+-1.28 1.28 * 9/8 = 1.44 ml . 5) For the area under the curve of 0.95 the z=+-1.96 1.96 * 9/sqrt(x)=1 ml sqrt(x)=1.96*9=17.64 x=311.17=312 always round up. . Ed

Pythagorean-theorem/456328: Please help me solve this equation: . 1 solutions Answer 313216 by edjones(7569)   on 2011-06-01 17:09:16 (Show Source): You can put this solution on YOUR website! x^2-2x-3= sqrt( 4 ) x^2-2x-3=2 x^2-2x =5 x^2-2x+1=5+1 completing the square. (x-1)^2=6 x-1=+-sqrt(6) x=1+sqrt(6), x=1-sqrt(6) . Ed

Exponential-and-logarithmic-functions/456330: log(7)x=2 1 solutions Answer 313214 by edjones(7569)   on 2011-06-01 17:03:23 (Show Source): You can put this solution on YOUR website! log[7](x)=2 7^log[7](x)=7^2 x=7^2 =49 . Ed

Triangles/456343: the ratio of the measures of the sides of a triangle is 2:5:6. If the length of the longest side is 48 inches, find the perimeter 1 solutions Answer 313213 by edjones(7569)   on 2011-06-01 17:00:09 (Show Source): You can put this solution on YOUR website! 48/6=8 8*2=16 8*5=40 p=48+40+16 =104" . Ed

Proportions/456365: 2:x = 10:35 1 solutions Answer 313204 by edjones(7569)   on 2011-06-01 16:17:23 (Show Source): You can put this solution on YOUR website! 2/x=10/35 2/x=2/7 x/2=7/2 x=7 . Ed

test/456353: k^2-k+2k^2-2k 1 solutions Answer 313203 by edjones(7569)   on 2011-06-01 16:15:07 (Show Source): You can put this solution on YOUR website! k^2-k+2k^2-2k =3k^2-3k

Probability-and-statistics/456360: At a picnic a cooler filled with ice there are 100 cans of soda. With a mixture of sodas. 30 cans of cola, 40 cans of orange, 20 cans of root beer and 10 cans of cream soda. What are the odds of, if you reach in and you select just ONE can, and that can is either a cola or a orange soda? This is what I have done so far. N= 100, r= 30 = 30/100 = 3/10 =0.3 n=100, r=40 = 40/100= 4/10 = 0.4 = 0.3 + 0.4 = 0.7 times chance of getting either a cola or a can of orange soda. ------------------------------------------------------------------------------- Please help me! 1 solutions Answer 313200 by edjones(7569)   on 2011-06-01 16:10:25 (Show Source): You can put this solution on YOUR website! P=70/100=7/10 probability of success. 3/10 probability of failure. Odds in favor of success are 7/10 to 3/10 or simply 7 to 3. . Ed

Equations/456094: I am having trouble with solving for x in the following equation: So far I have tried the following steps to simplify: x+1=(x+2)(x-3) x+1= x+1= x+7= 2x+7= 2+7= 9= 9x= 9=x However, when I plug this solution for x into a calculator I end up with , which is not = to 9+2. I hope you can explain this to me! I've been trying for hours over the past couple of days and I'm just not understanding it. Thank you for taking the time to read this. 1 solutions Answer 313090 by edjones(7569)   on 2011-05-31 22:56:41 (Show Source): You can put this solution on YOUR website! (x+1)/(x-3)=x+2 x+1=(x-3)(x+2) x+1=x^2-x-6 x^2-2x-7=0 x=1-2sqrt(2), x=1+2sqrt(2) see below . Ed . Solved by pluggable solver: SOLVE quadratic equation with variable Quadratic equation (in our case ) has the following solutons: For these solutions to exist, the discriminant should not be a negative number. First, we need to compute the discriminant : . Discriminant d=32 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: 3.82842712474619, -1.82842712474619. Here's your graph:

test/456047: X2= 25 1 solutions Answer 313087 by edjones(7569)   on 2011-05-31 22:45:01 (Show Source): You can put this solution on YOUR website! x^2=25 x=5, x=-5 . Ed

Human-and-algebraic-language/456075: A bag contains 2 red marbles,4 green marbles, and 4 blue marbles. You choose one marble at random, put the marble back into the bag, then choose a second marble at random. what is the probability that you choose 2 red marbles? 1 solutions Answer 313086 by edjones(7569)   on 2011-05-31 22:42:51 (Show Source): You can put this solution on YOUR website! There are 10 marbles. Two are red. 2/10=1/5 (1/5)^2 =1/25 the probability that you choose 2 red marbles. . Ed

Permutations/456064: A true-false test contains 12 questions. In how many different ways can this be completed? 1 solutions Answer 313084 by edjones(7569)   on 2011-05-31 22:39:58 (Show Source): You can put this solution on YOUR website! 2^12=4096 ways

Average/456087: 24 is 2.5% of what number? 1 solutions Answer 313082 by edjones(7569)   on 2011-05-31 22:37:55 (Show Source): You can put this solution on YOUR website! .025x=24 x=960 . Ed

Probability-and-statistics/456085: If Fred makes every 4 out of 5 free throws in basketball that he attempts. What is the probability that Fred will make the next 2 free throws he attempts? 1 solutions Answer 313079 by edjones(7569)   on 2011-05-31 22:35:38 (Show Source): You can put this solution on YOUR website! (4/5)^2=16/25

Linear-systems/456037: how do you find the slope of 4x+20y=5? 1 solutions Answer 313045 by edjones(7569)   on 2011-05-31 20:22:52 (Show Source): You can put this solution on YOUR website! y=mx+b Slope-intercept form. The slope is m. 4x+20y=5 20y=5-4x y=5/20 - 4x/20 y=1/4 - x/5 The slope is -1/5. . Ed

Polynomials-and-rational-expressions/456022: How do you solve rational expression using Lowest Common Denominator and cross multiplying? 5/a^2= (-4/a) +1 5 over a squared = (negative 4 over a) plus 1 1 solutions Answer 313040 by edjones(7569)   on 2011-05-31 20:18:11 (Show Source): You can put this solution on YOUR website! 5/a^2= (-4/a) +1 5=-4a+a^2 Multiply each side by a^2. a^2-4a-5=0 (a-5)(a+1)=0 a=5, a=-1 . Ed