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# Recent problems solved by 'ewatrrr'

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 Probability-and-statistics/621464: Interpret a 99% confidence interval of (5.355, 5.445) for a population mean. A nursing school wants to estimate the true mean annual income of its alumni. It randomly samples 200 of its alumni. The mean annual income was \$55,200 with a standard deviation of \$1,500. Find a 95% confidence interval for the true mean annual income of the nursing school alumni. Write a statement about the confidence level and the interval you find. An auditor wants to estimate what proportion of a bank's commercial loan files are incomplete. The auditor randomly samples 80 files and finds 12 are incomplete. Using a 95% confidence interval, estimate the true proportion of incomplete files for ALL the bank's commercial loans. Write a statement about the confidence level and the interval you find. 1 solutions Answer 390761 by ewatrrr(10682)   on 2012-06-17 14:35:28 (Show Source): You can put this solution on YOUR website! ``` Hi, 5.355< < 5.445 ||Note:(.445-.355)/2 = .045= ME 5.4 -.045< < 5.4 + .045 re: n = 200, m = 55200 and SD = 1500 Find a 95% confidence interval for the true mean annual income of the nursing school alumni. ME = 1.96(1500/sqrt(200))}}} = \$207.89 55200 - ME < < 55200 + ME ```
 Probability-and-statistics/621465: The area under a normal curve with mu = 15 and sigma = 2 is 0 1 2 none of these If Mary gets a 90 on a physics test where the mean is 85 and the standard deviation is 4.59, where does she stand in relation to her classmates? She is in the top 15%. She is in the bottom 15%. She is in the top 5%. She is in the bottom 5%. In a normal distribution with mu = 25 and sigma = 9, what number corresponds to z = -2? 21 16 7 none of these 1 solutions Answer 390758 by ewatrrr(10682)   on 2012-06-17 13:32:16 (Show Source): You can put this solution on YOUR website! ``` Hi, Note: Bell shaped Curve showing placement of z = 0, z = ±1, 2, 3 Left or Right of z = 0 being 50% of the area under the standard normal curve... The area under a normal curve = 1 As to: A set of data is normally distributed with a mean of 85 and SD of 4.59 x = 90 z = (90-85)/4.59 = 1.089 Exel function NORMSDIST(1.089) = .862 , 86.2% to the left and 13.8% to the right As:a normal distribution with mu = 25 and sigma = 9, if z = -2, then z = (x -25)/9 = -2, and x = -18 + 25 = 7 ```
 Circles/621381: Which of the following lines is equidistant fro the points (3,8) and (9,6)? A)x=1/3 B)y=3 C)y=x/3 D)y=-x/3 E)y=3x+81 solutions Answer 390756 by ewatrrr(10682)   on 2012-06-17 13:12:35 (Show Source): You can put this solution on YOUR website! ``` Hi, Which of the following lines is equidistant fro the points (3,8) and (9,6) m = 2/-6 = -1/3 and y = (-1/3)x + 9 any line parallel to above line would be equidistant from these points. D. y = (-1/3)x would be, same slopes m = (-1/3) ```
 Polynomials-and-rational-expressions/621456: 7x + 12 > 6x - 15 i dont remeber what section this is under can you help me solve it1 solutions Answer 390753 by ewatrrr(10682)   on 2012-06-17 12:29:52 (Show Source): You can put this solution on YOUR website! ``` Hi, 7x + 12 > 6x - 15 solving for x: x > -27 x can be any real number to the right of x = -27 on the number Line ```
 Probability-and-statistics/621422: Construct the indicated confidence interval for the population mean u using a t-distribution. c=0.98, x=114, s=10, n=271 solutions Answer 390751 by ewatrrr(10682)   on 2012-06-17 12:23:21 (Show Source): You can put this solution on YOUR website! ``` Hi, Construct the indicated 98% confidence interval for the population mean u using a t-distribution. c=0.98, x=114, s=10, n=27, Degrees of Freedom = (n-1)= 26, See Below: ME = 2.78(10/sqrt(27)) X = 114 114 - ME < < 114 + ME DOF Probability, p 0.1 0.05 0.01 0.001 1 6.31 12.71 63.66 636.62 2 2.92 4.3 9.93 31.6 3 2.35 3.18 5.84 12.92 4 2.13 2.78 4.6 8.61 5 2.02 2.57 4.03 6.87 6 1.94 2.45 3.71 5.96 7 1.89 2.37 3.5 5.41 8 1.86 2.31 3.36 5.04 9 1.83 2.26 3.25 4.78 10 1.81 2.23 3.17 4.59 11 1.8 2.2 3.11 4.44 12 1.78 2.18 3.06 4.32 13 1.77 2.16 3.01 4.22 14 1.76 2.14 2.98 4.14 15 1.75 2.13 2.95 4.07 16 1.75 2.12 2.92 4.02 17 1.74 2.11 2.9 3.97 18 1.73 2.1 2.88 3.92 19 1.73 2.09 2.86 3.88 20 1.72 2.09 2.85 3.85 21 1.72 2.08 2.83 3.82 22 1.72 2.07 2.82 3.79 23 1.71 2.07 2.82 3.77 24 1.71 2.06 2.8 3.75 25 1.71 2.06 2.79 3.73 26 1.71 2.06 3.71 27 1.7 2.05 2.77 3.69 28 1.7 2.05 2.76 3.67 29 1.7 2.05 2.76 3.66 30 1.7 2.04 2.75 3.65 ```
 Probability-and-statistics/621423: Find the critical value tc for the confidence level c=0.99 and sample size n=261 solutions Answer 390750 by ewatrrr(10682)   on 2012-06-17 12:15:32 (Show Source): You can put this solution on YOUR website! ``` Hi, Find the critical value tc for the confidence level c=0.99 and sample size n=26 Note: Degrees of Freedom = (n-1) = 25, You may find Below table useful in Your studies DOF Probability, p 0.1 0.05 0.01 0.001 1 6.31 12.71 63.66 636.62 2 2.92 4.3 9.93 31.6 3 2.35 3.18 5.84 12.92 4 2.13 2.78 4.6 8.61 5 2.02 2.57 4.03 6.87 6 1.94 2.45 3.71 5.96 7 1.89 2.37 3.5 5.41 8 1.86 2.31 3.36 5.04 9 1.83 2.26 3.25 4.78 10 1.81 2.23 3.17 4.59 11 1.8 2.2 3.11 4.44 12 1.78 2.18 3.06 4.32 13 1.77 2.16 3.01 4.22 14 1.76 2.14 2.98 4.14 15 1.75 2.13 2.95 4.07 16 1.75 2.12 2.92 4.02 17 1.74 2.11 2.9 3.97 18 1.73 2.1 2.88 3.92 19 1.73 2.09 2.86 3.88 20 1.72 2.09 2.85 3.85 21 1.72 2.08 2.83 3.82 22 1.72 2.07 2.82 3.79 23 1.71 2.07 2.82 3.77 24 1.71 2.06 2.8 3.75 1.71 2.06 2.79 3.73 26 1.71 2.06 2.78 3.71 27 1.7 2.05 2.77 3.69 28 1.7 2.05 2.76 3.67 29 1.7 2.05 2.76 3.66 30 1.7 2.04 2.75 3.65 ```
 �t�e�s�t/621443: I need help please... Assume that the population of heights of male college students is approximately normally distributed with mean m of 70 inches and standard deviation s of 4.00 inches. Show all work. (A) Find the proportion of male college students whose height is greater than 68 inches. (B) Find the proportion of male college students whose height is no more than 68 inches. 1 solutions Answer 390749 by ewatrrr(10682)   on 2012-06-17 12:00:04 (Show Source): You can put this solution on YOUR website! ``` Hi, Note: Bell shaped Curve showing placement of z = 0, z = ±1, 2, 3 Left or Right of z = 0 being 50% of the area under the standard normal curve... As to A set of data is normally distributed with a mean of 70 and SD of 4. X = 68 z = (68-70)/4 = Exel function NORMSDIST(-.5) = .3085 , 30.85% to the left and 69.15% to the right ```
 Miscellaneous_Word_Problems/621444: I am not understanding... A set of data is normally distributed with a mean of 100 and standard deviation of 15. · What would be the standard score for a score of 90? · What percentage of scores is between 100 and 90? · What would be the percentile rank for a score of 90?1 solutions Answer 390747 by ewatrrr(10682)   on 2012-06-17 11:53:40 (Show Source): You can put this solution on YOUR website! ``` Hi, Note: Bell shaped Curve showing placement of z = 0, z = ±1, 2, 3 Left or Right of z = 0 being 50% of the area under the standard normal curve... As to A set of data is normally distributed with a mean of 100 and SD of 15. X = 90 z = (90-100)/15 = Exel function NORMSDIST(-.6667) = .25 , 25% to the left and 75% to the right What percentage of scores is between 100 and 90? 25% · What would be the percentile rank for a score of 90? 25% ```
 Miscellaneous_Word_Problems/621441: I am not understanding how to work this problem. All help is much appreciated... Find the area under the standard normal curve: I. to the right of z = 0.09 II. to the left of z = 0.091 solutions Answer 390744 by ewatrrr(10682)   on 2012-06-17 11:25:12 (Show Source): You can put this solution on YOUR website! ``` Hi, Note: Bell shaped Curve showing placement of z = 0, z = ±1, 2, 3 Left or Right of z = 0 being 50% of the area under the standard normal curve... As to z = .09, is placed slightly right of center on the standard normal curve.. Exel function NORMSDIST(.09) = .5359 , 54% to the left and 46% to the right ```
 Equations/621446: Please help with this problem: Find the x- and y- intercepts and graph the equation plotting the intercepts. -2x+7y=-7 Show all work and graph Thank you, Janice 1 solutions Answer 390741 by ewatrrr(10682)   on 2012-06-17 11:04:58 (Show Source): You can put this solution on YOUR website! ``` Hi, -2x+7y=-7 or y = (2/7)x - 1 Plot (0,-1) & (3.5,0) and connect with Line ```
 Probability-and-statistics/621434: In a survey of 9000 women, 6431 sy they change their nail polish once a week. Construct a 90% confidence interval for the population proportion of women who change their nail polish once a week.1 solutions Answer 390740 by ewatrrr(10682)   on 2012-06-17 11:00:17 (Show Source): You can put this solution on YOUR website! ``` Hi, In a survey of 9000 women, 6431 sy they change their nail polish once a week. Construct a 90% confidence interval for the population proportion of women who change their nail polish once a week. p = 6431/9000 = .715 and q = .285 ME = 1.645 X = 6431 6431 - ME < < 6431 + ME ```
 Numeric_Fractions/621440: Answer for 4/3 + 2/3x = 31/12 + 5/4x + 3/41 solutions Answer 390736 by ewatrrr(10682)   on 2012-06-17 10:48:53 (Show Source): You can put this solution on YOUR website! ``` Hi, 4/3 + 2/3x = 31/12 + 5/4x + 3/4 use a common Denominator of 12 and then solve for x x = ```
 Coordinate-system/621436: I need help solving this problem x-2y=-8 (ordered pairs and how to graph it)1 solutions Answer 390735 by ewatrrr(10682)   on 2012-06-17 10:36:30 (Show Source): You can put this solution on YOUR website! ``` Hi, x -2y = -8 or y = (1/2)x + 4 Finding the y-intercept when x = 0 (, _) -2y = -8 y = 4 || the y-intercept (, 4) Finding the x-intercept when y = 0 ( _, ) x -2· = -8 x = -8 || the x-intercept is (-8 , ) Plot (0,4) and (-8,0) and connect with a Line ```
 Expressions-with-variables/621385: If p = 2(L+B),make b the subject of the formula1 solutions Answer 390734 by ewatrrr(10682)   on 2012-06-17 10:30:55 (Show Source): You can put this solution on YOUR website! ``` Hi, If p = 2(L+B)... p/2 = L + B ```
 Probability-and-statistics/621433: Find the minimum sample size n needed to estimate u for the given values of c, s, and E. c=0.98, s=8.4, and E=2 Assume the preliminary sample has at leaast 30 members1 solutions Answer 390732 by ewatrrr(10682)   on 2012-06-17 10:24:22 (Show Source): You can put this solution on YOUR website! ``` Hi, Find the minimum sample size n needed to estimate u for the given values of c, s, and E. c=0.98, s=8.4, and E=2 n = 95, the minimum sample size needed ```
 Probability-and-statistics/621431: Find the margin of error for the given values of c, s, and n. c=0.95, s=3.1, n=491 solutions Answer 390731 by ewatrrr(10682)   on 2012-06-17 10:15:03 (Show Source): You can put this solution on YOUR website! ``` Hi, Find the margin of error for the given values of c, s, and n. c=0.95, s=3.1, n=49 ME = ```
 Probability-and-statistics/621432: Construct the confidence interval for the population mean u. c=0.90, x=15.5, s=7.0, and n=851 solutions Answer 390730 by ewatrrr(10682)   on 2012-06-17 10:11:27 (Show Source): You can put this solution on YOUR website! ``` Hi, Construct the 90% confidence interval for the population mean u. X = 15.5 s =7.0, and n=85 ME = 15.5 - ME < < 15.5 + ME ```
 Probability-and-statistics/621420: A student randomly guesses on a 10 question true/false exam. Minimum threshold for a B grade is 80%. Find the probablility the student gets at least a B on the exam. Thanks1 solutions Answer 390729 by ewatrrr(10682)   on 2012-06-17 09:56:27 (Show Source): You can put this solution on YOUR website! ``` Hi, A student randomly guesses on a 10 question true/false exam. Minimum threshold for a B grade is 80%. Find the probablility the student gets at least a B on the exam. 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 & q are = 1/2 or .5 nCx = P(x≥ 8) = P(8) + P(9) + P(10) P(8) = 10C8(.5)^8(.5)^2 = 45(.5)^8(.5)^2 = .044 P(9) = 10C9(.5)^9(.5)^1 =10(.5)^9(.5)^1 = .01 P(10) = 10C10(.5)^10(.5)^0 =1*(.5)^10(.5)^0 = .001 P(x≥ 8) = P(8) + P(9) + P(10) = .055 ```
 Polynomials-and-rational-expressions/621421: Simplify by removing factors of 1. (r^2-16)/((〖r+4)〗^2 )1 solutions Answer 390727 by ewatrrr(10682)   on 2012-06-17 09:36:12 (Show Source): You can put this solution on YOUR website! ``` Hi, ```
 Geometry_Word_Problems/621397: A square garden plot measures 180 square feet. A second square garden plot measures 405 square feet. How many more feet of fence will the second garden plot require over that required for the first garden plot. The answer is 12 square root of 5. But how did they get this???????1 solutions Answer 390726 by ewatrrr(10682)   on 2012-06-17 09:32:43 (Show Source): You can put this solution on YOUR website! ``` Hi, Note: A is area, s is length of the side and P is the Perimeter of each garden A square garden plot measures 180 square feet. , P = A second square garden plot measures 405 square feet. , P = ```
 Circles/621379: Machine A can print 20 posters in a minute and machine B can print 15 posters a minute. How long will it take both of machines to print 945 if they work together? A)23 B)27 C)29 D)31 E)331 solutions Answer 390721 by ewatrrr(10682)   on 2012-06-17 08:20:21 (Show Source): You can put this solution on YOUR website! ``` Hi, Machine A can print 20 posters in a minute and machine B can print 15 posters a minute. Note: together A and B can do 35 Posters/min How long will it take both of machines to print 945 if they work together? ```
 Rate-of-work-word-problems/621412: if five men can do a piece of job in twenty-five days, how many days will it take ten men to do the same job working at the same rate?1 solutions Answer 390719 by ewatrrr(10682)   on 2012-06-17 08:17:09 (Show Source): You can put this solution on YOUR website! ``` Hi, if five men can do a piece of job in twenty-five days, how many days will it take ten men to do the same job working at the same rate? ```
 Circles/621378: Train A leaves the platform at 5 pm at a speed of 120 km/h and train B leaves the same platform on a parallel track in the same direction at 7 30 pm at 144 km/h. After how many hours will train B cross train A? A)12.5 B)15 C)17.5 D)18 E)201 solutions Answer 390718 by ewatrrr(10682)   on 2012-06-17 08:14:25 (Show Source): You can put this solution on YOUR website! ``` Hi, Train A leaves the platform at 5 pm at a speed of 120 km/h and train B leaves the same platform on a parallel track in the same direction at 7 30 pm at 144 km/h. After how many hours will train B cross train A? D = rt Distance = Distance solving for x x = ```
 Quadratic-relations-and-conic-sections/621143: Identify the conic section. If it is a parabola, give the vertex. If it is an ellipse or a hyperbola, give the center and the foci. 1 solutions Answer 390581 by ewatrrr(10682)   on 2012-06-15 13:41:10 (Show Source): You can put this solution on YOUR website! ``` Hi, Parbola opening to the Right V(5,-3) y = -3 line of symmetry ```
 expressions/621142: -7x^3-4x2-8x+1 when X=-4 I cannot solve the problem can you please help me my name is veronica1 solutions Answer 390579 by ewatrrr(10682)   on 2012-06-15 13:32:01 (Show Source): You can put this solution on YOUR website! ``` Hi, f(x) = -7x^3-4x^2-8x+1 f(-4) = (-7)(-64) - 4(16) -8(-4) + 1 = 417 ```
 Coordinate-system/621126: Give the coordinates of the vertex and graph the coordinates of the parabola? y=x^2+2x+4 I know the vertex is (-1,3) and I can easily plot that on the graph but what is the other point I have to plot in order to graph the parabola? I'm having a hard time with the graphing part. 1 solutions Answer 390576 by ewatrrr(10682)   on 2012-06-15 13:00:18 (Show Source): You can put this solution on YOUR website! ``` Hi, y=x^2+2x+4 Note: (0,4)is where Parabola crosses the y axis y = (x+1)^2 -1 + 4 V(-1,3) Yes! Important 1st Step For graphing: 2nd step: Which direction does the Parabola Open? y = a(x-h)^2 + k is the general form of a parabola opening Up or Down, a = 1 > 0, parabola opens Up 3rd Step: what is the Line of symmetry: x = -1 Plotting Vertex and y-intercept and putting in the line of symmetry, allows us to determine the graph ```
 Inequalities/620865: x^2<491 solutions Answer 390423 by ewatrrr(10682)   on 2012-06-14 12:14:44 (Show Source): You can put this solution on YOUR website! ``` Hi, -7 < x < 7 ```
 Equations/620873: Solve for n: n/(n-2) = 6/51 solutions Answer 390422 by ewatrrr(10682)   on 2012-06-14 12:12:10 (Show Source): You can put this solution on YOUR website! ``` Hi, ||Cross Multiplying to solve 5n = 6(n-2) 5n = 6n - 12) 12 = n ```
 Systems-of-equations/620866: convert 2x+y=12 to y-intercept form1 solutions Answer 390421 by ewatrrr(10682)   on 2012-06-14 12:10:15 (Show Source): You can put this solution on YOUR website! ``` Hi, convert 2x+y=12 to y-intercept form: y = mx + b 2x+y=12 ||solving for y y = -2x + 12 ```
 Equations/620872: Simplify: 3/[(1/a) + (1/b)] 1 solutions Answer 390420 by ewatrrr(10682)   on 2012-06-14 12:08:43 (Show Source): You can put this solution on YOUR website! ``` Hi, Re TY, As to demominator : Puting in terms of (Using a common denominator)allows us to work together with the numerator more easily ```
 Linear_Algebra/620867: when combining like terms and simplifying expression what is the answe to this problem or how do I work it out? -9(6m-3)+6(1+4m) 1 solutions Answer 390419 by ewatrrr(10682)   on 2012-06-14 12:06:21 (Show Source): You can put this solution on YOUR website! ``` Hi, -9(6m-3)+6(1+4m) ||Distributing the -9 and 6 -54m + 27 + 6 + 24m ||Combining Like terms -30m + 33 ```