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 Sequences-and-series/339881: in the american version of roulette, a ball is spun around a wheel and has an equal chance of landing in any one of 38 slots numbered 0,00, 1,2....,36 shown in the figure is a standard betting layout for roulette, where the color of the oval corresponds to the color of the slot on the wheel. find the probability that the ball lands in A) in a black slot and B) in a black slot twice in succession1 solutions Answer 243531 by edjones(7569)   on 2010-09-07 13:12:27 (Show Source): You can put this solution on YOUR website!A) 18/38 = 9/19 B) (18/38)^2 = 81/361 . Ed
 Probability-and-statistics/339776: For a particular peculiar pair of dice, the probabilities of rolling 1, 2, 3, 4, 5 and 6 on each die are in the ratio 1:2:3:4:5:6. What is the probability of rolling a total of 7 on the two dice?1 solutions Answer 243465 by edjones(7569)   on 2010-09-07 09:52:14 (Show Source): You can put this solution on YOUR website!6 1 and 1 6 : 1/21 * 6/21 * 2 = .0272 5 2 and 2 5 : 2/21 * 5/21 * 2 = .0454 4 3 and 3 4 : 3/21 * 4/21 * 2 = .0544 .0272+.0454+.0544=.1270 . Ed
 Equations/339783: A side of beef lost 35 percent of its weight in processing. If the side of beef weighed 546 pounds after processing, how many pounds did it weigh before processing? (A) 191 (B) 355 (C) 737 (D) 840 (E) 1560 Could you please explain the above problem. Thanks1 solutions Answer 243455 by edjones(7569)   on 2010-09-07 09:37:09 (Show Source): You can put this solution on YOUR website!Let w be the weight before processing. w-.35w=546 .65w=546 w=840 lbs . Ed
 Age_Word_Problems/339802: Half of Henry's age added to 1/3 of Daisy's age is 11 years. Six years from now, the sum of their ages will be 40 years. How old is each?1 solutions Answer 243454 by edjones(7569)   on 2010-09-07 09:31:44 (Show Source): You can put this solution on YOUR website!Let h=henry's age and d=daisy's h/2 + d/3 = 11 3h+2d=66 multiply each side by 6. . h+6+d+6=40 h+d=28 h=28-d . 3(28-d)+2d=66 84-3d+2d=66 -d=-18 d=18 h=10
 Equations/339787: Could someone please help me solve the following? Solve for X: 9x-2>3x+22 Thank you!1 solutions Answer 243446 by edjones(7569)   on 2010-09-07 09:20:21 (Show Source): You can put this solution on YOUR website!9x-2>3x+22 6x>24 x>4 . Ed
 Probability-and-statistics/339786: A mini license plate for a toy car must consist of a one digit odd number followed by two letters.? Each letter must be a J or Q. 1. Use the counting principle to determine the number of points in the sample. 2. Construct a tree diagram to represent this situation 3. List the sample space. 4. Determine the exact probability of creating a mini license plate with a J. Give solution in reduced fraction form. I really need help on this one. Im not quite grasping the concept of the problem. Thank you1 solutions Answer 243443 by edjones(7569)   on 2010-09-07 09:18:38 (Show Source): You can put this solution on YOUR website!4. Since the 2 letters can only be x or j the possibilities are qq, qj, jq, jj. 3/4 the exact probability of creating a mini license plate with a J. . Ed
 Probability-and-statistics/339766: Suppose there are 500 applicants for five equivalent positions at a factory. Company is able to narrow the field to 30 equally qualified applicants. 7 of the finalists are minority candidates.Assume that 5 who are chosen are selected randomly from final group of 30. question: 1. what is the probability that none of the minority is hired? 2. what is the probability that no more than 1 minority candidate is hired? 1 solutions Answer 243428 by edjones(7569)   on 2010-09-07 09:03:53 (Show Source): You can put this solution on YOUR website!Combination of n things taken r at a time: nCr=n!/((n-r)!r!) . 23C5/30C5=33649/142506=.2361 the probability that none of the minority is hired. . ((23C4*7C1)+23C5)/30C5=95634/142506=.6711 the probability that no more than 1 minority candidate is hired. . Ed
 Angles/339761: Angle A and angle B are complementary. Find measure angle A and measure angle B. Measure of angle A =3x-7. Measure of angle B = 11x-1.1 solutions Answer 243405 by edjones(7569)   on 2010-09-07 08:20:09 (Show Source): You can put this solution on YOUR website!a=3x-7, b=11x-1 3x-7+11x-1=90 14x-8=90 14x=98 x=7 angle a=14 deg, angle b=76 deg . Ed
 Human-and-algebraic-language/339762: a five foot stick is cut so that one part is 2/3 of the other. how long, in inches is the shorter segment?1 solutions Answer 243402 by edjones(7569)   on 2010-09-07 08:14:42 (Show Source): You can put this solution on YOUR website!Let the longer part be x inches long. x + 2x/3 = 5 3x+2x=15 5x=15 x=3 Shorter segment is 2" long. . Ed
 Signed-numbers/339752: Chirus owed his brother \$ 20. he later gaved his brother \$80. what positive or negative number represent chirus present finical balance1 solutions Answer 243401 by edjones(7569)   on 2010-09-07 08:08:24 (Show Source): You can put this solution on YOUR website!-\$60.00
 Problems-with-consecutive-odd-even-integers/339748: Find two integers whose product is 104 such that one of the integers is 3 less than twice the other integer. Thank you for showing me how to set this problem up.1 solutions Answer 243400 by edjones(7569)   on 2010-09-07 08:06:14 (Show Source): You can put this solution on YOUR website!x-3=2y x=2y+3 . xy=104 y(2y+3)=104 2y^2+3y-104=0 2*-104=-208. The 2 factors of -208 whose sum is 3 are -13 and 16. 2y^2+16y-13y-104=0 2y(y+8)-13(y+8)=0 Factoring by grouping. (2y-13)(y+8)=0 . y=-8 2y=13, y=13/2 not an integer. Did the question ask for two numbers or integers? . Ed
 Probability-and-statistics/339328: An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment. Compute the probability of each of the following events: Event : The sum is greater than 5 . Event : The sum is divisible by 6. Write your answers as exact fractions. 1 solutions Answer 243246 by edjones(7569)   on 2010-09-06 11:18:49 (Show Source): You can put this solution on YOUR website!sum>5 2:1/36 3:2/36 4:3/36 5:4/36 --------add ==10/36 1 - 10/36 = 26/36 = 13/18 . sum divisible by 6 6:5/36 12:1/36 --------add ==6/36=1/6 . Ed
 Probability-and-statistics/338960: How many diffrent ways are there for an admission officer to select a group of 7 college candidates from a group of 13 applications from a group of 13 applicants from an interview?1 solutions Answer 243021 by edjones(7569)   on 2010-09-05 05:18:40 (Show Source): You can put this solution on YOUR website!Since we are not interested in the arrangement of the students this is a combination problem. nCr=n!/(n-r)!r! =13!/(13-7)!7! =1,716 different ways. . Ed
 Probability-and-statistics/338959: In how many different ways can the top twelve new indie bands be ranked on a top twelve list? The top hit song for each of the tweleve bands will compete to recieve monetary awards of \$1000.00, \$500, \$250, and \$100, respectively. In how many ways can the awards be given? 1 solutions Answer 243019 by edjones(7569)   on 2010-09-05 04:55:42 (Show Source): You can put this solution on YOUR website!12!=479,001,600 ways . Permutation: nPr The number of arrangements of n things taken r at a time. 12P4=12!/(12-4)! =(12*11*10*9*8!)/8! =12*11*10*9 =11,880 ways the awards can be given. . Ed
 Travel_Word_Problems/338990: A parade 2 miles long and moving at the rate of 3 miles per hour passed completely a line of spectators in one hour and twenty minutes. How long was the line of spectators?1 solutions Answer 243017 by edjones(7569)   on 2010-09-05 04:40:53 (Show Source): You can put this solution on YOUR website!s=speed, t=time, d=distance st=d 3 * 4/3 = 4 mi. distance the parade traveled in the 1 1/3 hrs. 4-2(length of the parade)=2 mi Length of the line of spectators. . Ed
 Travel_Word_Problems/338992: The circumference of a front and rear wheels of a carriage are,respectively,2 and 4 feet. What distance will the carriage have passed over when the front wheel had made 8 more revolutions than the rear wheel?1 solutions Answer 243016 by edjones(7569)   on 2010-09-05 04:23:42 (Show Source): You can put this solution on YOUR website!For every 4 feet it makes 1 more revolution. 4*8=32feet . Ed
 Problems-with-consecutive-odd-even-integers/338996: Find three consecutive integers such that the sum of the squares of the second and third exceeds twice the square of the first by 41.1 solutions Answer 243015 by edjones(7569)   on 2010-09-05 04:16:19 (Show Source): You can put this solution on YOUR website!Let the numbers be x, x+1 and x+2 (x+1)^2 + (x+2)^2 = 2x^2+41 x^2+2x+1+x^2+4x+4=2x^2+41 6x=36 x=6 . Ed
 Probability-and-statistics/339006: 3 folders are picked from a lot of 100 folders in which 10 folders are defective. what is the probability of the event that all 3 folders are non-defective?1 solutions Answer 243014 by edjones(7569)   on 2010-09-05 04:04:17 (Show Source): You can put this solution on YOUR website!nCr=Combination of n things taken r at a time. P=90C3/100C3 =117,480/161,700 =.7265... . Ed
 Numbers_Word_Problems/339023: The ration of female to male students is 5 to 7. If there is a total of 16,200 student find the number of female students and male students. Thank you.1 solutions Answer 243013 by edjones(7569)   on 2010-09-05 03:52:49 (Show Source): You can put this solution on YOUR website!16200* 5/12=6,750 females 16200* 7/12=9,450 males . Ed
 Polynomials-and-rational-expressions/339024: 5y+5=601 solutions Answer 243012 by edjones(7569)   on 2010-09-05 03:48:51 (Show Source): You can put this solution on YOUR website!5y+5=60 5y=55 y=11 . Ed
 decimal-numbers/339028: i have a few questions. 1. if you round 0.95 to the nearest tenth whats the answer? 2. ok? the 2 after the first x is a small on at the top not normal 2!!!! x2+4x??????1 solutions Answer 243011 by edjones(7569)   on 2010-09-05 03:47:39 (Show Source): You can put this solution on YOUR website!1. 1 . 2. x^2+4x=x(x+4) . Ed
 Travel_Word_Problems/338460: two runners start running laps at the same time, from the same starting position. george runs a lap in 50 seconds, sue runs a lap in 30 seconds. when will the runners next be side by side?1 solutions Answer 242597 by edjones(7569)   on 2010-09-02 22:26:54 (Show Source): You can put this solution on YOUR website!Let s=speed, t=time, d=distance st=d sue's speed = 1/30 lap/sec, george's=1/50 the distance is in laps time is in secs. t=d/s The time of both of them will be equal when george is lapped. Let x=number of laps. . (x+1)/(1/30)=x/(1/50) (x+1)/50=x/30 3(x+1)=5x 3x+3=5x 2x=3 x=3/2 laps 50 * 3/2 = 75 sec. Next time they will be side by side. . Ed
 Square-cubic-other-roots/338433: 0 = square root of (x-2) -41 solutions Answer 242585 by edjones(7569)   on 2010-09-02 21:49:00 (Show Source): You can put this solution on YOUR website!sqrt(x-2)-4=0 sqrt(x-2)=4 x-2=16 x=18 . Ed
 Numbers_Word_Problems/338424: Find two consecutive integers such that 1/3 the smaller plus twice the larger equals 7 more than the sum of the two numbers. 1 solutions Answer 242582 by edjones(7569)   on 2010-09-02 21:45:36 (Show Source): You can put this solution on YOUR website!Let the numbers be x and x+1. x/3 + 2(x+1)=x+x+1+7 x/3 + 2x+2=2x+8 x/3=6 x=18 . Ed
 Equations/338413: A baseball display case is in the shape of a cube. what is the volume of the display case if the side length is 9.8 centemeters.1 solutions Answer 242579 by edjones(7569)   on 2010-09-02 21:40:17 (Show Source): You can put this solution on YOUR website!9.8^3=941.192 c.c.
 Expressions-with-variables/338405: 7x-3y=6;x=31 solutions Answer 242578 by edjones(7569)   on 2010-09-02 21:37:06 (Show Source): You can put this solution on YOUR website!7x-3y=6, x=3 7*3-3y=6 21-3y=6 -3y=15 y=-5 . Ed
 Equations/338374: y=5sqroot y1 solutions Answer 242576 by edjones(7569)   on 2010-09-02 21:32:22 (Show Source): You can put this solution on YOUR website!y=5sqrt(y) y^2=25y square each side. y^2-25y=0 y(y-25)=0 y=0, y=25 . Ed
 Expressions-with-variables/338373: What Is 2.50 Times x1 solutions Answer 242571 by edjones(7569)   on 2010-09-02 21:27:16 (Show Source): You can put this solution on YOUR website!2.50x
 absolute-value/338371: what is the answer to this equation: 3|2a+7|=3a+121 solutions Answer 242570 by edjones(7569)   on 2010-09-02 21:26:15 (Show Source): You can put this solution on YOUR website!3|2a+7|=3a+12 |2a+7|=a+4 . 2a+7=a+4 a=-3 . 2a+7=-(a+4) 2a+7=-a-4 3a=-11 a=-11/3 . Ed
 Numbers_Word_Problems/338366: 1. what is the number 10 less than the product of our largest two different digits? 2. What is the number with 4 in the tens place that is 2 less than a perfect square? 3. What is the two-digit prime number less than 60 with the sum of the digits equal to 1 more than half a dozen?1 solutions Answer 242569 by edjones(7569)   on 2010-09-02 21:20:23 (Show Source): You can put this solution on YOUR website!2. 47
 Polygons/338359: How many diagonal lines are there in a 25-sided polygon? ... How do I come up with this? 1 solutions Answer 242567 by edjones(7569)   on 2010-09-02 21:17:06 (Show Source): You can put this solution on YOUR website!n(n-3)/2 Number of diagonals in any convex polygon. n=number of sides. 25(25-3)/2 =25*22/2 =25*11 =275 . Ed