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# Recent problems solved by 'ewatrrr'

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 Polynomials-and-rational-expressions/417384: Solve by factoring (w-13)^2=16 1 solutions Answer 292205 by ewatrrr(10682)   on 2011-03-04 08:04:50 (Show Source): You can put this solution on YOUR website! ``` Hi Solve by factoring |Note use of ^ (uppercase 6 on Your keyboard) w^2 - 26x + 169 = 16 w^2 -26x + 153 (w-9)(w-17) = 0 (w-9)= 0 w = 9 (w-17)= 0 w = 17 CHECKING our Answer*** w-13 = ± 4 w = 13 ± 4 ```
 test/417370: find the vertex, the line of symmetry, the maximum/minimum value of the quadric function and graph the function f(x)3x^2-18+11 what is vertex what is equation of the line of symmetry x= what the maximum/minimum 1 solutions Answer 292204 by ewatrrr(10682)   on 2011-03-04 07:57:08 (Show Source): You can put this solution on YOUR website! ``` Hi Using the vertex form of a parabola, where(h,k) is the vertex f(x) = 3x^2-18x+11 |completing the square to put into vertex form f(x) = 3(x^2-6)+11 f(x) = 3[(x-3)^2 - 9]+11 f(x) = 3(x-3)^2 - 16 Vertex is Pt(3,-16), minimum at this Pt ( a>) Line of symmetry is x = 3 ```
 Exponential-and-logarithmic-functions/417397: Hi there :) If I wanted to cancel out a sqrt sighn with a small 3 in the upper left hand corner how would I do this? Thanks!1 solutions Answer 292203 by ewatrrr(10682)   on 2011-03-04 07:49:10 (Show Source): You can put this solution on YOUR website! ``` Hi Recommend re-posting with an example so as we as Tutors can best assist You. ```
 Word_Problems_With_Coins/417295: Sue had 6 times as many quarters as Jim. Ben has twice as many quarters as Jim. Together they had \$9. How much money did each person have?1 solutions Answer 292202 by ewatrrr(10682)   on 2011-03-04 07:41:33 (Show Source): You can put this solution on YOUR website! ``` Hi Let x, 6x, 2x represent Jim's, Sues's and Ben's quarters respectively Question states***CENTS makes sense 25*9x = 900 Solving for x x = 4, number of quarters Jim had. Sue 24 and Ben 8 CHECKING our Answer*** 25*(4+24+8) = 25*36 = 900 or \$9.00 ```
 Word_Problems_With_Coins/417331: A donation box contains 49 coins consisting of nickels, dimes, and quarters. The number of quarters is two more than twice the number of dimes. The total value of the coins is \$3.30. Find the number of nickles, dimes, and quarters. 1 solutions Answer 292201 by ewatrrr(10682)   on 2011-03-04 07:35:43 (Show Source): You can put this solution on YOUR website! ``` Hi 49 coins. The number of quarters is two more than twice the number of dimes Let x , (2x+2), [49 -(3x+2)] represent the number of dimes, quarters and nickels Question states***CENTS makes sense 10x + 25(2x+2) + 5[49-(3x+2)] = 330 Solving for x 10x + 50x+ 50 + 245 -15x - 10 = 330 45x = 45 x = 1, the number of dimes, 4 Quarters and 44 Nickels CHECKING our Answer*** 10*1 + 25*4 + 5*44 = 110 + 220 = 330 or \$3.30 ```
 Word_Problems_With_Coins/417391: If you have 60 coins that equal \$4.45 in nickels and dimes. How many nickels and dimes do you have?1 solutions Answer 292200 by ewatrrr(10682)   on 2011-03-04 07:23:37 (Show Source): You can put this solution on YOUR website! ``` Hi 60 coins Let x and (60-x)represent the dimes and nickels respectively Question states***CENTS makes sense 10x + 5(60-x) = 445 Solving for x 5x = 145 x = 29, number of dimes. 31 Nickels (60-29) CHECKING our Answer*** 10*29 + 5*31 = 290 + 155 = 445 or \$4.45 ```
 Numbers_Word_Problems/417029: the sum of two numbers is 54.the larger number is 6 less than four times the smaller number.find the numbers1 solutions Answer 292199 by ewatrrr(10682)   on 2011-03-04 07:12:52 (Show Source): You can put this solution on YOUR website! ``` Hi the larger number is 6 less than four times the smaller number Let x and ( 4x-6) represent the smaller and larger number respectively Question states*** x + (4x-6) = 54 Solving for x 5x = 60 x = 12 The two numbers are 12 and 42 (48-6) CHECKING our Answer*** 12 + 42 = 54 ```
 Numbers_Word_Problems/417292: Twice a number is the same as 10 less 3 times the number. 1 solutions Answer 292198 by ewatrrr(10682)   on 2011-03-04 07:10:09 (Show Source): You can put this solution on YOUR website! ``` Hi Let x represent the number Question states*** 2x = 3x-10 Solving for x 10 = x CHECKING our Answer*** 20 = 30 - 10 ```
 Numbers_Word_Problems/417383: divide 224 into two parts such that when the larger part is divided by the smaller part, the quotient is 2 and the remainder is half of the smaller part. find the larger part.1 solutions Answer 292197 by ewatrrr(10682)   on 2011-03-04 07:08:36 (Show Source): You can put this solution on YOUR website! ``` Hi divide 224 into two parts Let x and (224-x) represent the smaller and larger part respectively Question states*** Solving for x 2(224-x) = 4x + x^2 |Multiplying thru by 2x x^2 +6x -448 = 0 x = 18.3776 | Tossing out negative solution CHECKING our Answer*** 205.6224/18.3776 = 11.1888 = 2 + (1/2)18.3776 = 2 + 9.1888 ```
 Human-and-algebraic-language/416940: Two angles are complementry if the sum of their measures is 90*. The measure of the first angle is 6* less than 4 times the second angle. Find the measure of the first angle. Round to tenth of degree.1 solutions Answer 292049 by ewatrrr(10682)   on 2011-03-03 16:46:20 (Show Source): You can put this solution on YOUR website! ``` Hi The measure of the first angle is 6* less than 4 times the second angle Let x and (4x-6° )represent the second and first angle x + (4x-6°) = 90° 5x = 96° x = 19.2° The first angle is 70.8° (4*19.2° - 6°) ```
 Numbers_Word_Problems/416990: How do i work out a problem where you have two consecutive even integers, such that five times the first integer is equal to four times the second integer?1 solutions Answer 292046 by ewatrrr(10682)   on 2011-03-03 16:40:56 (Show Source): You can put this solution on YOUR website! ``` Hi two consecutive even integers Let x and (x+2)represent the smaller and larger respectively Question states*** 5x = 4(x+2) Solving for x x = 8 The two consecutive even integers are 8,10 CHECKING our Answer*** 5*8 = 4*10 = 40 ```
 Quadratic_Equations/416994: How do you solve x2=361 solutions Answer 292043 by ewatrrr(10682)   on 2011-03-03 16:38:23 (Show Source): You can put this solution on YOUR website! ``` Hi x = ± 6 ```
 Quadratic_Equations/417000: Shelly is 5 years older than Michele. Four years ago the sum of their ages was 65. Find the age of each person now. Shelly is ? years Michele is ? years1 solutions Answer 292042 by ewatrrr(10682)   on 2011-03-03 16:37:10 (Show Source): You can put this solution on YOUR website! ``` Hi Shelly is 5 years older than Michele Let x and (x+5) represent Michele's and Shelly's ages NOW respectively Question states*** 4 yrs ago... (x-4) + [(x-4) +5] = 65 Solving for x 2x = 68 x = 34, Michele's age now. Shelly is 39 CHECKING our Answer*** 35 + 30 = 65 ```
 Linear-systems/416996: I am having alot of trouble with this problem. plz help 3y+x=-1 x=-3y1 solutions Answer 292038 by ewatrrr(10682)   on 2011-03-03 16:31:47 (Show Source): You can put this solution on YOUR website! ``` Hi solving by substitution x = -3y 3y + x = -1 3y + (-3y) = -1 0 ≠ -1 there is NO solution ```
 Average/416997: A Student has two test scores. The difference between the scores is 12 and the mean, or average of the scores is 80. what are the two scores? 1 solutions Answer 292037 by ewatrrr(10682)   on 2011-03-03 16:29:31 (Show Source): You can put this solution on YOUR website! ``` Hi difference between the scores is 12 Let x and (x-12) represent the two scores Question states*** [x + (x-12]/2 = 80 Solving for x [x + (x-12] = 160 2x = 172 x = 86 the two scores 74 and 86 CHECKING our Answer*** (74 + 86)/2 = 160/2 = 80 ```
 Problems-with-consecutive-odd-even-integers/416928: Find the area of a trapezoid with a height of 4 m and bases of 13 m and 22 m.can some one show me how to do this1 solutions Answer 292021 by ewatrrr(10682)   on 2011-03-03 15:35:40 (Show Source): You can put this solution on YOUR website! ``` Hi Find the area of a trapezoid with a height of 4 m and bases of 13 m and 22 m. Area (trapezoid) = A = (35m/2)*4 = 70 m^2 ```
 Probability-and-statistics/416946: A pet supplier has a stock of parakeets of which 30% are blue parakeets. A pet store orders 3 parakeets from this supplier. If the supplier selects the parakeets at random, what is the chance that the pet store gets exactly one blue parakeet? 1 solutions Answer 292013 by ewatrrr(10682)   on 2011-03-03 14:49:40 (Show Source): You can put this solution on YOUR website! ``` Hi Note: The probability of x successes in n trials is: P = nCx* where p and q are the probabilities of success and failure respectively. In this case p =.3 and q = .7 nCx = P(that the pet store gets exactly one blue parakeet) = 1-P(none) = 1 - (.7)^3 ```
 Parallelograms/416957: is having One pair of consecutive angles are congruent enough information to prove a quadrilateral is a parallelogram1 solutions Answer 292011 by ewatrrr(10682)   on 2011-03-03 14:45:59 (Show Source): You can put this solution on YOUR website! ``` Hi is having One pair of consecutive angles are congruent enough information to prove a quadrilateral is a parallelogram? NO, one of the following conditions must be shown to be true. 1) If a quadrilateral has one pair of sides that are both parallel and congruent, then the quadrilateral is a parallelogram. 2) If the opposite sides of a quadrilateral are congruent, then then quadrilateral is a parallelogram. 3) Opposites sides are parallel. 4) 'Opposite angles are congruent' 5) Diagonals bisect each other. ```
 Linear-equations/416944: Use this table to answer the following questions: x y 1 -1/4 2 -1/2 3 -3/4 4 ??? Between x and y, would the correlation be positive or negative? What is the missing value of y in the table? How would the values of this table be interpreted in terms of linear regression? If a "line of best fit" is placed among these points plotted on a coordinate system, would the slope of this line be positive or negative? 1 solutions Answer 292010 by ewatrrr(10682)   on 2011-03-03 14:38:55 (Show Source): You can put this solution on YOUR website! ``` Hi y = (-1/4)x negative correlation y = (-1/4)*4 = -1 y = (-1/4)x is a function representative of a line Slope of this line is = (-1/4) and is < 0 or negative ```
 Probability-and-statistics/416622: Hi I got a problem of solving this problem: Please help me I badly need it. 7. A random sample of 12 preschool pupils were rated by their teacher on their reading readiness based on a scale of 25 points at the start of the school year. The same pupils were rated by the same teacher at the end of the school year. The ratings are shown in the table below Pupil 1 2 3 4 5 6 7 8 9 10 11 12 Start 25 22 20 21 20 15 17 22 19 16 19 18 End 25 23 23 22 22 20 19 20 18 18 21 23 Is there significant difference in the reading readiness of the pupils at the start and at the end of the school year? Test at 0.05 level of significance. 1 solutions Answer 292007 by ewatrrr(10682)   on 2011-03-03 14:30:38 (Show Source): You can put this solution on YOUR website! ``` Hi Start 25 22 20 21 20 15 17 22 19 16 19 18 Mean[S]= 18.5833 SD[S] = 3.8720 End 25 23 23 22 22 20 19 20 18 18 21 23 mean[E] = 21.1667 SD[E} = 2.2088 t = t = -2.0075 P(t<-2.0075) = .02 (one-tailed) .04 (two-tailed) At the .05 level ofsignificance: .04 <.05 there is reason to believe there is a dfference in the reading readiness of the pupils at the start and at the end of the school year, however at a lower confidence interval there would not. ```
 Probability-and-statistics/416931: how do you work out probibility????1 solutions Answer 292005 by ewatrrr(10682)   on 2011-03-03 14:21:25 (Show Source): You can put this solution on YOUR website! ``` Hi Recommend posting a particular example so as we as Tutors can best be of assistance to You. ```
 Percentage-and-ratio-word-problems/416942: On Patrick's history test he answered 6 true/false uestions and 14 multiple choice uestions correctly, he missed 1 multiple choice and 4 true-false. Of the uestions Patrick answered correctly, what percent were true-false questions?1 solutions Answer 292003 by ewatrrr(10682)   on 2011-03-03 14:18:58 (Show Source): You can put this solution on YOUR website! ``` Hi true/false multiple choice total correctly 6 14 20 incorrectly 4 1 5 total 10 15 25 Of questons answered correctly (20)what % were T/F questions 6/20 = .30 or 30% ```
 Probability-and-statistics/416671: a card is chosen at random from a pack of 52 playing cards.find the probability that the card is king or a red card1 solutions Answer 291984 by ewatrrr(10682)   on 2011-03-03 11:46:00 (Show Source): You can put this solution on YOUR website! ``` Hi a card is chosen at random from a pack of 52 playing cards. P( king 'or' a red card)= P(king) + P(red) - P(both) = 4/52 + 26/52 - 2/52 ```
 Probability-and-statistics/416722: What is the probability that three tails come up on a throw of three dimes?1 solutions Answer 291983 by ewatrrr(10682)   on 2011-03-03 11:43:11 (Show Source): You can put this solution on YOUR website! ``` Hi What is the probability that three tails come up on a throw of three dimes? P(tails) = 1/2 P(3 tails on 3 throws) = (1/2)^3 = 1/8 ```
 Probability-and-statistics/416737: In the tests of a new pharmaceutical product, data were collected for use in the approval process required by the U.S. Food and Drug Administration (FDA). Some participants were given a placebo, an inert substance that looks like the drug; others were given the drug. The data are shown in the following table: Drug: No Help 22 Help 47 Placebo: No Help 31 Help 20 What is the probability that: a) the participants perceived that their “medication” helped if they received the drug? b) the participants perceived that their “medication” helped if they received the placebo? c) the participants perceived that their “medication” helped? I'm having a huge issue with this. Could you please show your work, or just explain how it's done so I can learn the method as well as understand what the answers are? Thanks so much!!!!1 solutions Answer 291982 by ewatrrr(10682)   on 2011-03-03 11:38:42 (Show Source): You can put this solution on YOUR website! ``` Hi No Help Help Total Drug: 22 47 69 Placebo: 31 20 51 Total 53 67 120 What is the probability that: a) the participants perceived that their “medication” helped if they received the drug? 47/69 b) the participants perceived that their “medication” helped if they received the placebo? 20/51 c) the participants perceived that their “medication” helped? 67/120 ```
 Probability-and-statistics/416795: Assume the probability that an employee selling products is successful in a randomly selected sales call is 0.5. Assume sales calls are independent and the employee is doing 2 sales calls. What is the probability that at least one of the two sales calls is successful?1 solutions Answer 291977 by ewatrrr(10682)   on 2011-03-03 11:30:34 (Show Source): You can put this solution on YOUR website! ``` Hi Note: The probability of x successes in n trials is: P = nCx* where p and q are the probabilities of success and failure respectively. In this case p = .5 and q = .5 nCx = Assume sales calls are independent and the employee is doing 2 sales calls P(at least one of the two sales calls is successful) = 1-P(none)= 1 - (.5)^2 P(at least one of the two sales calls is successful) = .75 ```
 Probability-and-statistics/416884: What is your probability of not getting a spade from a deck of 52 cards?1 solutions Answer 291974 by ewatrrr(10682)   on 2011-03-03 11:25:52 (Show Source): You can put this solution on YOUR website! ``` Hi Total of 52 cards of which 13 are spades P(no spade) = 1 - P(spade) = 1 - 13/52 = 39/52 = 3/4 ```
 Probability-and-statistics/416724: What is the probability of getting a 2 or a 12 on two dice?1 solutions Answer 291972 by ewatrrr(10682)   on 2011-03-03 11:23:32 (Show Source): You can put this solution on YOUR website! ``` Hi P(getting a 2 'or' 12 on two dice ) = 1/36 + 1/36 = 2/36 = 1/18 ___1_2_3__4__5__6 1|_2_3_4__5__6__7 2|_3_4_5__6__7__8 3|_4_5_6__7__8__9 4|_5_6_7__8__9_10 5|_6_7_8__9_10_11 6|_7_8_9_10_11_12 ```
 Probability-and-statistics/416725: What is the probability of getting a 9 on two dice?1 solutions Answer 291970 by ewatrrr(10682)   on 2011-03-03 11:21:43 (Show Source): You can put this solution on YOUR website! ``` Hi P(getting a 9) = 4/36 = 1/9 ___1_2_3__4__5__6 1|_2_3_4__5__6__7 2|_3_4_5__6__7__8 3|_4_5_6__7__8__9 4|_5_6_7__8__9_10 5|_6_7_8__9_10_11 6|_7_8_9_10_11_12 ```
 Probability-and-statistics/416881: What is the probability of not getting a 9 on two dice?1 solutions Answer 291968 by ewatrrr(10682)   on 2011-03-03 11:20:35 (Show Source): You can put this solution on YOUR website! ``` Hi P(not getting a 9) = 1 - P(9) = 1 - 4/36 = 32/36 = 8/9 ___1_2_3__4__5__6 1|_2_3_4__5__6__7 2|_3_4_5__6__7__8 3|_4_5_6__7__8__9 4|_5_6_7__8__9_10 5|_6_7_8__9_10_11 6|_7_8_9_10_11_12 ```
 Rectangles/416861: Picture of a rectangle that represents a floor that is 20 x 15. Another rectangle inside that one representing an area rug. The rug and the floor are similar rectangles with perimeters in the ratio of 5 to 3. What is the area of the rug? I'm thinking I'm doing proportions but not sure how to do it. Thanks1 solutions Answer 291957 by ewatrrr(10682)   on 2011-03-03 10:32:22 (Show Source): You can put this solution on YOUR website! ``` Hi perimeters in the ratio of 5 to 3 floor that is 20 x 15: P =70 Let x represent the P of the rug |Cross Multiplying to solve for x 5x = 210 x = 42, the perimeter of the rug. (OR 21 the sum of its length and width) The rug and the floor are similar rectangles |Cross Multiplying to solve for x 20x = 15*(21-x) 35x = 15*21 x = 15*21/35 x = 9 the rug is 12 x 9. It's area is 108 CHECKING our Answer*** 20/15 = 12/9 = 4/3 ```