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# Recent problems solved by 'ewatrrr'

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 Permutations/626537: An employer interviews 8 people for 4 technical support positions in a company, and 3 of the 8 people are men. If all 8 are qualified, in how many ways can the employer fill the technical support positions if exactly 2 are men1 solutions Answer 394270 by ewatrrr(10682)   on 2012-07-07 17:45:05 (Show Source): You can put this solution on YOUR website! ``` Hi, An employer interviews 8 people for 4 technical support positions in a company, and 3 of the 8 people are men. If all 8 are qualified, in how many ways can the employer fill the technical support positions if exactly 2 are men 3C2*5C2= 3*10 = 30 ways ```
 Numeric_Fractions/626535: A ladder leans agains a building forming an angle of 58 degrees with the ground. The bae of the ladder is 3 feet from the building. Usethe cosine determine the lenght of the ladder. a. 3.54 ft b 4.8 ft c 6.01 ft d. 5.66 ft1 solutions Answer 394269 by ewatrrr(10682)   on 2012-07-07 17:40:14 (Show Source): You can put this solution on YOUR website! ``` Hi, A ladder leans agains a building forming an angle of 58 degrees with the ground. The bae of the ladder is 3 feet from the building. Usethe cosine determine the length of the ladder. Let h represent the length of the ladder. cos(58) = adj/hyp = 3/h h = 3ft/cos(58) = 5.66ft ```
 Money_Word_Problems/626526: A bank loaned out \$17,000, part of it at 6% per year, and the rest at 16% per year. If the interest received in one year totaled \$1500, how much was loaned out at 6%? How much of the \$17000 did the bank loan out at 6%?1 solutions Answer 394266 by ewatrrr(10682)   on 2012-07-07 17:22:39 (Show Source): You can put this solution on YOUR website! ``` Hi, A bank loaned out \$17,000, part of it at 6% per year, and the rest at 16% per year. If the interest received in one year totaled \$1500, how much was loaned out at 6%? Question states*** .06(17000-x) + .16x = \$1500 .10x = 1500-1020 x = \$4800, amount loaned at 16%. \$12,200 at 6% and... CHECKING our Answer*** ```
 Numeric_Fractions/626529: The diameter of a bicycle wheel is 26 inches . How many times did the wheel revolve when the bicycle travels one mile? Round your answer to the nearest unit. ( hint) one mile equals 5,280 ft) a 776 times b 1552 tims c 65 times d 82 times1 solutions Answer 394263 by ewatrrr(10682)   on 2012-07-07 17:11:29 (Show Source): You can put this solution on YOUR website! ``` Hi, The diameter of a bicycle wheel is 26 inches . How many times did the wheel revolve when the bicycle travels one mile? ```
 Probability-and-statistics/626447: Mrs. Jones Algebra 2 class scored very well on yesterday’s quiz. With one exception, everyone received an A. Within how many standard deviations from the mean do all the quiz grades fall? 91, 92, 94, 88, 96, 99, 91, 93, 94, 97, 95, 97 A. 2 B. 1 C. 3 D. 4 1 solutions Answer 394262 by ewatrrr(10682)   on 2012-07-07 17:04:55 (Show Source): You can put this solution on YOUR website! ``` Hi, Mrs. Jones Algebra 2 class scored very well on yesterday’s quiz: 91, 92, 94, 88, 96, 99, 91, 93, 94, 97, 95, 97 With one exception, everyone received an A. Within how many standard deviations from the mean do all the quiz grades fall? Mean = 93.9 , SD = 3.12 (Using Excel Data Analysis Tool) (99-93.9)/3.12 = 1.6 (88 - 93.9)/3.12 = -1.89 all the quiz grades fall within 2 SD from the mean. Important to Understand z -values as they relate to the Standard Normal curve: Below: z = 0, z = ± 1, z= ±2 , z= ±3 are plotted. Note: z = 0 (x value the mean) 50% of the area under the curve is to the left and 50% to the right ```
 Graphs/626527: solve the system x+y=1 and y=2x+13 by graphing1 solutions Answer 394260 by ewatrrr(10682)   on 2012-07-07 16:55:40 (Show Source): You can put this solution on YOUR website! ``` Hi, finding two ordered pairs (x,y) for each line: x+y=1 ⇒ (0,1) and (1,0) on this line (green) y=2x+13 ⇒ (0,13) and (-13/2,0) on this line (blue) plot points and connect with their respective lines Intersect at (-4,5), the ordered pair that is the solution for this system ```
 Rectangles/626430: a rectangle length is 40cm and its diagonals is 41 cm.then what its area?1 solutions Answer 394257 by ewatrrr(10682)   on 2012-07-07 16:46:32 (Show Source): You can put this solution on YOUR website! ``` Hi, Re: TY, Please repost with more detail. Thanks. a rectangle length is 40cm and its diagonals is 41 cm. w = ```
 Probability-and-statistics/626451: The probability that a dessert sold at a certain cafe contains chocolate is 86%. The probability that a dessert containing chocolate also contains nuts is 30%. Find the probability that a dessert chosen at random contains nuts given that it contains chocolate. Round to the nearest tenth of a percent. A. 36.6% B. 28.7% C. 34.9% D. 56.0% 1 solutions Answer 394255 by ewatrrr(10682)   on 2012-07-07 16:36:47 (Show Source): You can put this solution on YOUR website!``` Hi, Note: P(A|B) = P(A and B)/P(B) The probability that a dessert sold at a certain cafe contains chocolate is 86%. The probability that a dessert containing chocolate also contains nuts is 30%. Find the probability that a dessert chosen at random contains nuts given that it contains chocolate P(nuts given chocolate) = .30/.86 = .349 or 34.9% (rounded to the nearest tenth ```
 Probability-and-statistics/626509: For a normal distribution that has a mean of 100 and a standard deviation of 8. Determine the Z-score for each of the following X values: X=70 Z=-3.75 X=124 Z=3 Use the information in 1 to determine the area or probability of p(92 < x < 108) p(84 < x < 116) p(x < 84)1 solutions Answer 394250 by ewatrrr(10682)   on 2012-07-07 16:23:47 (Show Source): You can put this solution on YOUR website! ``` Hi, Important to Understand z -values as they relate to the Standard Normal curve: Below: z = 0, z = ± 1, z= ±2 , z= ±3 are plotted. Note: z = 0 (x value the mean) 50% of the area under the curve is to the left and %50 to the right For the normal distribution: one standard deviation from the mean accounts for about 68.2% of the set two standard deviations from the mean account for about 95.4% and three standard deviations from the mean account for about 99.7%. a normal distribution that has a mean of 100 and a standard deviation of 8. p(92 < x < 108)= .682 p(84 < x < 116) = .954 p(x < 84) = (1-.954)/2 ```
 Coordinate-system/626518: verify the area of a triangle abc a=-2,11 b=5,7 c=1,0 for some reason when i plug it in i get the wrong answer what is the area?1 solutions Answer 394246 by ewatrrr(10682)   on 2012-07-07 16:06:24 (Show Source): You can put this solution on YOUR website! ``` Hi, Line ab (-2,11) ( 5, 7) m = -4/7 line bc (5,7) (1,0) m = 7/4 triangle abc is a right triangle as ab is perpendicular to bc (-2,11) ( 5, 7) (5,7) (1,0) A = ```
 Graphs/624928: Solve the system of linear equations by graphing. 4x-y=0 2x-y=-21 solutions Answer 393183 by ewatrrr(10682)   on 2012-06-30 15:49:55 (Show Source): You can put this solution on YOUR website! ``` Hi, Solve the system of linear equations by graphing: I. finding two ordered pairs (x,y) for each 4x-y=0 If x = 0 ⇒ y = 0, Pt(0,0) and If x = 1 ⇒ y = 4, Pt(1,4) 2x-y=-2 If x = 0 ⇒ y = 2, Pt(0,2) and If y = 0 ⇒ x = -1, Pt(-1,0) II. Plotting the points and connecting with a line for each case. III. Intersect at (1,4) which is the ordered pair that is the solution for this System ```
 Radicals/624906: Nakim simplified 3 times the square root of 2x plus x times the square root of 8x minus 5 times the square root of 18x and got -10x times the square root of 2x for an answer. Part 1: Using complete sentences, explain what Nakim did wrong. Part 2: Show all your work to simplify the expression. (You can use "sqrt()" to show a square root. For example, 7 times the square root of a can be written as 7sqrt(a). )1 solutions Answer 393181 by ewatrrr(10682)   on 2012-06-30 15:34:59 (Show Source): You can put this solution on YOUR website! ``` Hi, Forgot about the x-coefficient of the middle term ```
 Average/624920: Find the largest of 2 consecutive integers whose sum is 2141 solutions Answer 393180 by ewatrrr(10682)   on 2012-06-30 15:07:02 (Show Source): You can put this solution on YOUR website! ``` Hi, Find the largest of 2 consecutive integersand whose sum is 214 x + (x+1) = 214 2x = 213 x = 106 1/2, there are NO 2 consecutive integers with a sum of 214 ```
 Linear_Equations_And_Systems_Word_Problems/624905: I am totally stumped on these word problems: A one-cup serving of orange juice contains 3 mg less than four times the amount of vitamin C as a one-cup serving of pineapple juice. Servings of the two juices contain a total of 122 mg of vitamin C. How many milligrams of vitamin C are in a serving of each type of juice? So far my guess is 122=4X-3-X Also it possible where i can find out to do these so i won't have to ask for help for these type of problems in the future! Thank you!1 solutions Answer 393176 by ewatrrr(10682)   on 2012-06-30 15:02:02 (Show Source): You can put this solution on YOUR website! ``` Hi, A one-cup serving of orange juice contains 3 mg less than four times the amount of vitamin C as a one-cup serving of pineapple juice. Servings of the two juices contain a total of 122 mg of vitamin C. Yes! You have the idea of identifying the OJ and P...that is the KEY thing! Set Up is to add the two,however Question states*** OJ + P = 122mg 122mg = (4x-3mg) + x 125 = 5x x = 25mg, amount on P. OJ has 97mg ```
 Travel_Word_Problems/624902: Adam drove a boat for 3 hours against a 5mph current. He drove back in 1 hour. How fast would he be driving in still water. 1 solutions Answer 393153 by ewatrrr(10682)   on 2012-06-30 13:00:02 (Show Source): You can put this solution on YOUR website! ``` Hi, Adam drove a boat for 3 hours against a 5mph current. He drove back in 1 hour. How fast would he be driving in still water. Question states*** Note: D = rt and distance up and back the same. |solve for r in mph (2r = 18, r = 9mph) ```
 Human-and-algebraic-language/624878: In the 2008–2009 NBA regular season, the Boston Celtics won two more than three times as many games as they lost. The Celtics played 82 games. How many wins and losses did the team have? So far this how I set up the problem i am not sure if its right. 82=3x+21 solutions Answer 393144 by ewatrrr(10682)   on 2012-06-30 12:36:47 (Show Source): You can put this solution on YOUR website! ``` Hi, In the 2008–2009 NBA regular season, the Boston Celtics won two more than three times as many as the games lost. The Celtics played games. How many wins and losses did 82 = Wins + losses |Forgot to include games lost 82 = (x+2) + x 20 = x, games lost. games won is 62. ```
 Quadratic_Equations/624896: hi im so confused what happend if come across a problem like this (a+1)(a+2)=0 and a problem n^+3n-12=6 the ^ is 21 solutions Answer 393138 by ewatrrr(10682)   on 2012-06-30 12:25:29 (Show Source): You can put this solution on YOUR website! ``` Hi, If (a+1)(a+2) = 0 Then (a + 1) = 0 a = -1 or (a + 2) = 0 a = -2 If (a+1)(a+2) = 0, then a = -1 or a = -2 n^2 + 3n -12 = 6 n^2 + 3n -18 = 0 factoring: (n + 6)(n - 3) = 0 AND (n + 6) = 0 or (n - 3) = 0 n = -6 or n = 3 ```
 Probability-and-statistics/624883: according to police sources, a car with a certain protection system will be recovered 87% of the time. Find the probablity that 4 of 8 stolen cars will be recovered.1 solutions Answer 393135 by ewatrrr(10682)   on 2012-06-30 12:16:40 (Show Source): You can put this solution on YOUR website! ``` Hi,Re: TY, finish it Up and You get .011 according to police sources, a car with a certain protection system will be recovered 87% of the time. Find the probablity that 4 of 8 stolen cars will be recovered. 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 = .87 & q = .13 = nCx = P(4 will be recovered) = 8C4(.87)^4(.13^4) = ```
 Proportions/624869: 2 persons, A and B start running a certain distance at 8 and 10kmh respectively. gB reaches the destination 6 minutes earlier. The distace is:1 solutions Answer 393129 by ewatrrr(10682)   on 2012-06-30 11:15:30 (Show Source): You can put this solution on YOUR website! ``` Hi, 2 persons, A and B start running a certain distance at 8 and 10kmh respectively. B reaches the destination 6 minutes earlier than A's time Question states*** Note: each run the same distance and D = rt 1 = 2t t = 1/2 hr D = 4mi ```
 Travel_Word_Problems/624870: Trevor drove 4 hours at the rate of 50 miles per hour. How long the same distance take trevor if he drove at 40mph?1 solutions Answer 393127 by ewatrrr(10682)   on 2012-06-30 11:08:37 (Show Source): You can put this solution on YOUR website! ``` Hi, Note: D = rt or t = D/r Trevor drove 4 hours at the rate of 50 miles per hour. How long the same distance take trevor if he drove at 40mph? ```
 Sequences-and-series/624873: Sarah is twice as old as her youngest brother. If the difference between their ages is 15 years, how old is her youngest brother? 1 solutions Answer 393126 by ewatrrr(10682)   on 2012-06-30 11:06:02 (Show Source): You can put this solution on YOUR website! ``` Hi, Sarah is twice as old as her youngest brother's age If the between their ages is 15 years, how old is her youngest brother? Question states*** 2x - x = 15 x = 15 yr, age of the youngest brother ```
 Proportions/624868: John saves Nu. 2 in january, Nu. 6 in february, Nu. 18 in march and so on. The total saving in one year by John is how much?1 solutions Answer 393124 by ewatrrr(10682)   on 2012-06-30 11:01:29 (Show Source): You can put this solution on YOUR website! ``` Hi, John saves Nu. 2 in january, Nu. 6 in february, Nu. 18 in march and so on. , r = 3 ```
 Numbers_Word_Problems/624867: 3/4th of number exceeds its 1/3rd by 60. the number is1 solutions Answer 393120 by ewatrrr(10682)   on 2012-06-30 10:38:57 (Show Source): You can put this solution on YOUR website! ``` Hi, 3/4th of number exceeds its 1/3rd by 60. |Multiplying thru by 12 so as all denominators = 1 5x = 720 x = 144 and CHECKING our Answer*** ```
 Linear-equations/624846: there were some chocolates in a box. santosh gave one fourth of choclates to pinki and one third of the choclates to praja and 50 choclates to pujana . how many choclates were there in a box 1 solutions Answer 393117 by ewatrrr(10682)   on 2012-06-30 09:26:30 (Show Source): You can put this solution on YOUR website! ``` Hi, there were chocolates in a box. santosh gave one fourth of choclates to pinki and one third of the choclates to praja and 50 choclates to pujana x = x/4 + x/3 + 50 |Multiplying thru by 12 so as all denominators = 1 12x = 3x + 4x + 600 5x = 600 x = 120 chocolates in the box ```
 Systems-of-equations/624861: A carpenter is building a rectangular room with a fixed perimeter of 264 ft. What dimensions would yield the maximun area? What is the maximum area? The length that would yield the maximum area is ? ft. The width that would yield the maximum area is ? ft. The maximum area is ? sq.ft.1 solutions Answer 393115 by ewatrrr(10682)   on 2012-06-30 09:20:43 (Show Source): You can put this solution on YOUR website! ``` Hi, A carpenter is building a rectangular room with a fixed perimeter of 264 ft. What dimensions would yield the maximun area? 66' by 66' (a square) The length that would yield the maximum area is 66 ft. The width that would yield the maximum area is 66 ft. The maximum area is sq.ft. ```
 Age_Word_Problems/624848: the sides of a parallelogram are in the sides of 2 is to 3 Find the adjacent sides of parallelogram if the perimeter of the parallelogram is 20 cm1 solutions Answer 393114 by ewatrrr(10682)   on 2012-06-30 09:17:34 (Show Source): You can put this solution on YOUR website! ``` Hi, the sides of a parallelogram are in the sides of 2 is to 3 Find the adjacent sides of parallelogram if the perimeter of the parallelogram is 20 cm Let 2x and 3x represent the adjacent sides: P = 2x + 3x + 2x + 3x = 20cm 10x = 20cm x = 2cm the adjacent sides of parallelogram are 4cm and 6cm ```
 Geometry_Word_Problems/624820: if the perimeter of a pentagon is 60, its average size length is?1 solutions Answer 393111 by ewatrrr(10682)   on 2012-06-30 09:10:59 (Show Source): You can put this solution on YOUR website! ``` Hi, if the perimeter of a pentagon(5 sides) is 60, its average size length is? 60/5 ```
 Age_Word_Problems/624850: a number when subtracted from 25 equals to it's one-fourth.Find the number1 solutions Answer 393110 by ewatrrr(10682)   on 2012-06-30 09:08:36 (Show Source): You can put this solution on YOUR website! ``` Hi, a number when subtracted from 25 equals to it's one-fourth 20 = x ```
 Linear_Equations_And_Systems_Word_Problems/624860: If you add 13 to four times a certain number, the sum is less than 265. Let x represent the number. Write an inequality that can be solved to find the value of x. 1 solutions Answer 393109 by ewatrrr(10682)   on 2012-06-30 09:04:24 (Show Source): You can put this solution on YOUR website! ``` Hi, If you add 13 to four times a certain number, the sum is less than 265. Question states*** 4x + 13 < 265 ```
 Length-and-distance/624854: 55inches to 8feet1 solutions Answer 393108 by ewatrrr(10682)   on 2012-06-30 09:02:25 (Show Source): You can put this solution on YOUR website! ``` Hi, 55inches to 8feet is ```
 Radicals/624825: (16) ˝ describe how to simplify each expression?1 solutions Answer 393107 by ewatrrr(10682)   on 2012-06-30 09:00:28 (Show Source): You can put this solution on YOUR website! ``` Hi, 16^(1/2) = ```