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# Recent problems solved by 'ewatrrr'

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 Probability-and-statistics/397419: A) The following data lists the average monthly snowfall for January in 15 cities around the US. I need to find the mean, variance, and standard deviation. 36 12 6 18 7 36 31 4 12 23 27 14 3 25 47 B)A math test has a mean of 49 and standard deviation of 6.0. I need to the the corresponding z scores for: a test score of 36 and a test score of 78. 1 solutions Answer 281663 by ewatrrr(10682)   on 2011-01-20 14:50:32 (Show Source): You can put this solution on YOUR website! ``` Hi A) entering data in an Excel column and using the data analysis tool mean = 20.0667 , varience = 180.2095, standard deviation = 13.4242 B) z = (36-49) /6 and z = (78-49)/ 6 ```
 Linear-equations/397360: If the line y=A+B(x-3) is perpendicular to the line y=2x and it contains the point (5,15) , what are the values of A and B? 1 solutions Answer 281650 by ewatrrr(10682)   on 2011-01-20 13:42:14 (Show Source): You can put this solution on YOUR website! ``` Hi Using the standard slope-intercept form for an equation of a line y = mx + b where m is the slope and b the y-intercept. y = A+B(x-3) y = Bx - 3B + A | ⊥ to y = 2x, therefore it's slope will be m = -1/2 B = -1/2 y = (-1/2)x +3/2 + A |using ordered pair pt(5,15) to solve for A 15 = -5/2 + 3/2 + A 16 = A CHECKING our Answer y = 16 -(1/2)(x-3) 15 = 16 -(1/2)(5-3) 15 = 16 - 1 ```
 Travel_Word_Problems/397361: if h=0 what is the answer to h=-16t^2+6251 solutions Answer 281648 by ewatrrr(10682)   on 2011-01-20 13:34:06 (Show Source): You can put this solution on YOUR website! ``` Hi if h=0 what is the answer to h=-16t^2+625 -16t^2 + 625 = 0 |multiplying thru by -1 16t^2 - 625 = 0 16t^2 = 625 t^2 = 625/16 t = ± 25/4 ```
 Travel_Word_Problems/397357: Dan hiked up a mountain trail and camped overnight at the top. The next day he returned down the same trail. His average rate traveling uphill was 1.6 kilometers per hour and his average rate downhill was 2.4 kilometers per hour. If he spent a total of 11 hours hiking, how long was the trail? 1 solutions Answer 281647 by ewatrrr(10682)   on 2011-01-20 13:29:49 (Show Source): You can put this solution on YOUR website! ``` Hi S = r*t or D/r = t Question states*** D/1.6kmph + D/2.4kmph = 11hrs |multiplying thru by 4.8 3D + 2D = 11*4.8 5D = 52.8 D = 10.56 km ```
 Travel_Word_Problems/397356: Dan hiked up a mountain trail and camped overnight at the top. The next day he returned down the same trail. His average rate traveling uphill was kilometers per hour and his average rate downhill was kilometers per hour. If he spent a total of hours hiking, how long was the trail? 1 solutions Answer 281646 by ewatrrr(10682)   on 2011-01-20 13:24:59 (Show Source): You can put this solution on YOUR website! ``` Hi See the repost with the rates given. will address that question. ```
 Trigonometry-basics/397346: In a triangle abc,|ac|=16cm,|bc|=10cm, ∠bac=30 degrees. If ∠abc = 90 degrees, find |ab| If you can help, thank you. 1 solutions Answer 281643 by ewatrrr(10682)   on 2011-01-20 13:17:26 (Show Source): You can put this solution on YOUR website! ``` Hi Note using < for angle does not work in the translation for this site. |ac| has another meaning than for side lengths of triangles, might recommend just using 'ac' In a triangle abc,|ac|=16cm,|bc|=10cm, ∠bac=30 degrees. If ∠abc = 90 degrees, find |ab| ac is across from the right angle and therefore length 16cm is the hypotenuse Pythagorean Theorem applies: ac = sqrt(16cm^2 - 10cm^2) = 12.49cm ```
 Linear-equations/397345: I am trying to decide wether each pair of lines is Perpendicular, parallel, or neither. 2x-y=5, 2x+y=3 I have worked out: 2x-y=5 2x-y-5=5-5 2x-y-5=0 2x-y+y-5=0+y 2x-5=y I plugged 2 in for x 2(2)-5=y 4-5=y -1=y 2x+y=3 2x+3=y Plugged in 2 for x again 2(2)+3=y 4+3=y 7=y In my book it says that the answer is neither Perpendicular or parallel but I don't understand why that is. I thought if you were solving for y the coefficient of x is the slope so wouldn't the slope on both be 2?1 solutions Answer 281639 by ewatrrr(10682)   on 2011-01-20 12:59:39 (Show Source): You can put this solution on YOUR website! ``` Hi 2x-y = 5 OR y = 2x - 5 |good work! 2x+y=3 OR y = -2x + 3 |note subtracting 2x from both sides of the equation Yes!! solving for y, the coefficient of x is the slope to be parallel, line must have same slope to be ⊥, lines must have slopes that are negative 'reciprocals' of one another Neither is the case, therefore the lines are neither parallel or perpendicular. However, Yes!, they do intersect at Pt (2,-1)...have that point in common ```
 Linear_Equations_And_Systems_Word_Problems/397341: The sum of two integers is 30. Two times the larger integer is 10 less than five times the smaller integer. Find the integers.1 solutions Answer 281638 by ewatrrr(10682)   on 2011-01-20 12:49:06 (Show Source): You can put this solution on YOUR website! ``` Hi The sum of two integers is 30 Let x and (30-x) represent the smaller and larger number respectively Question states*** 2(30-x) = 5x -10 solving for x 60 - 2x = 5x-10 70 = 7x x = 10, the smaller number. The larger number is 20. (30-10) CHECKING our Answer*** 40 = 50 - 10 ```
 Money_Word_Problems/397337: A financial advisor has invested \$25,000 om twp accounts. If one account contains x dollars, express the amount in the second account in terms of x.1 solutions Answer 281637 by ewatrrr(10682)   on 2011-01-20 12:45:35 (Show Source): You can put this solution on YOUR website! ``` Hi invested a total sum of \$25,000 om two accounts x and (\$25,000-x) would represent the individual amounts in these two accounts ```
 test/397331: simplify the expression. 16 + (x + 4) (a) x + 12 (b) x + 20 (c) x + 4 (d) 4x + 16 simplify the expression. (8 * b) * 4 (a) b + 32 (b) 12b (c) 32b (d) 8b + 4 translate the verbal sentence into an equation and solve. the sum of a number and 16 is 31. (a) 16 + 31 = x,x = 47 (b) x + 16 = 31,x = 15 (c) x + 16 = 31,x = 47 (d) 16 + 31 = x,x = 15 translate the verbal sentence into an equation and solve. the difference of 22 and a number is 8. (a) y - 22 = 8,y = 30 (b) 22 - y = 8,y = 30 (c) y - 22 = 8,y = 14 (d) 22 - y = 8,y = 141 solutions Answer 281636 by ewatrrr(10682)   on 2011-01-20 12:42:19 (Show Source): You can put this solution on YOUR website! ``` Hi simplify the expression. 16 + (x + 4) = x + 20 simplify the expression. (8 * b) * 4 = 32b the sum of a number and 16 is 31. x + 16 = 31 |subtracting 16 from both sides of equation x = 15 | x is equal to 15 the difference of 22 and a number is 8. 22 - y = 8 |subtracting 8 and adding y to both sides of equation 14 = y | y is equal to 14 Note: when solving, we must isolate the variable on one side of the equation, so as, we can 'read' the solution ```
 Functions/397332: Find the intersection of the line through the points (7,10) and (4,2) with the line y=x. The point of intersection is (A,B) where A=? and B=?1 solutions Answer 281634 by ewatrrr(10682)   on 2011-01-20 12:33:34 (Show Source): You can put this solution on YOUR website! ``` Hi Using the point-slope formula, to find slope (7,10) and (4,2) m = 8/3, the slope of the line containg these points Using the standard slope-intercept form for an equation of a line y = mx + b where m is the slope and b the y-intercept. y = (8/3)x + b |using ordered pair Pt(4,2) to solve for b 2 = 32/3 + b -26/3 = b y = (8/3)x -20/3 Pt(5,5) is the point of intersection of these lines according to the graph CHECKING our Answer: x = (8/3)x -20/3, 3x = 8x - 20, 20 = 5x, x = 5 and y = 5 (y = x) ```
 Polynomials-and-rational-expressions/397312: Find the zeros of the function, state the multitplicity of multiple zeros: y=12x^3-12x.1 solutions Answer 281632 by ewatrrr(10682)   on 2011-01-20 12:22:08 (Show Source): You can put this solution on YOUR website! ``` Hi y = 12x^3-12x Finding the zeros of the function 12x^3 - 12x = 0 12x(x^2 - 1) = 0 12x(x+1)(x-1)= 0 12x = 0 x = 0 (x+1)=0 x = -1 (x-1)= 0 x = 1 ```
 Travel_Word_Problems/397326: If you are traveling at 65mph and it takes you 28 minutes to travel 23.5 miles, how long does it take to travel the same distance at 80mph?1 solutions Answer 281630 by ewatrrr(10682)   on 2011-01-20 12:16:50 (Show Source): You can put this solution on YOUR website! ``` Hi D = r*t or t = D/r t = 23.5mi/80mph = .29375 hours or 17.625min ```
 Inverses/397323: wha tis the recipicle for 1/91 solutions Answer 281628 by ewatrrr(10682)   on 2011-01-20 12:11:22 (Show Source): You can put this solution on YOUR website! ``` Hi Note: the product of reciprocals = 1 the reciprocal of 1/9 is 9/1 (or 9) as ```
 Expressions-with-variables/397305: (25/4)+(12/3h)=201 solutions Answer 281627 by ewatrrr(10682)   on 2011-01-20 12:08:40 (Show Source): You can put this solution on YOUR website! ``` Hi |multiplyig each term by 12h so as all denominators = 1 75h + 48 = 240h 48 = 165h 48/165 = h .2909 = h ```
 Average/397307: if i got 21 questions wrong out of 80 whats my score1 solutions Answer 281626 by ewatrrr(10682)   on 2011-01-20 12:02:12 (Show Source): You can put this solution on YOUR website! ``` Hi 21 questions wrong out of 80, then 59 were answered correctly Percentage wise 59/80*100 = 73.75% were answered correctly ```
 Quadratic_Equations/397275: Use the quadratic formula to solve the equation. The solution set is{____}.1 solutions Answer 281592 by ewatrrr(10682)   on 2011-01-20 10:12:26 (Show Source): You can put this solution on YOUR website!``` Hi Using the quadratic formula to solve the equation. x^2 - 3x + 7 = 0 The solution set is , ```
 Graphs/397259: Find the vertex, the line of symmetry, and the maximum or minimum value of f(x). Graph the function. The vertex is ____. <--Type an ordered pair. The line of symmetry is x=____. The maximum/minimum value of f(x)=____. Is the value, f(-1)=5, a minimum or maximum. Graph.1 solutions Answer 281590 by ewatrrr(10682)   on 2011-01-20 10:06:10 (Show Source): You can put this solution on YOUR website! ``` Hi Using the vertex form of a parabola, where(h,k) is the vertex |1/4 = a > 0, parabola opens upward Vertex is Pt(-1,5)is minimum point and the Line of symmetry is x = -1 f(x) = 5 is the minimum value for the function ```
 Square-cubic-other-roots/397251: Simplify. Simplify your answer. Type a fraction or an integer. 1 solutions Answer 281588 by ewatrrr(10682)   on 2011-01-20 09:58:49 (Show Source): You can put this solution on YOUR website! ``` Hi Note: (-1/4)^5 = -1/1024 ```
 Square-cubic-other-roots/397257: Simplify by taking roots of the numerator and the denominator. Assume that all expressions under radicals represent positive numbers. Type an exact answer, using radicals as needed.1 solutions Answer 281585 by ewatrrr(10682)   on 2011-01-20 09:51:33 (Show Source): You can put this solution on YOUR website! ``` Hi ```
 Numbers_Word_Problems/397252: Three times a number increased by twice the number is greater than 125. What is the number?1 solutions Answer 281582 by ewatrrr(10682)   on 2011-01-20 09:41:28 (Show Source): You can put this solution on YOUR website! ``` Hi Let x represent the number Write as we Read*** 3x + 2x > 125 5x > 125 x > 25 |x being ALL real numberx greater than 25 ```
 Rectangles/397253: "The area of a square is 45 square centimeters. How long is the width?" I tried taking 45 and finding the square root but, that only lead to 6.74687654387357, or something like that, and the answers are A-22 sqrt( 5 ) cm, B-2 sqrt( 10 ) cm, C-20cm, D-10cm, E- 3 sqrt( 5 ) cm After i saw this i tried finding perfect square roots that divided equally into 45 i think 9 is the only one so would the answer be E?1 solutions Answer 281581 by ewatrrr(10682)   on 2011-01-20 09:39:08 (Show Source): You can put this solution on YOUR website! ``` Hi A = L*W = s*s for a square where s is the length of each side Question states*** s^2 = 45 cm^2 s = Tossing out negative solution for length s = s = |not uncommon for answers to be given in simplest radical form Note: 3 * = 6.7082 = sqrt(45)}}} ```
 Coordinate-system/397217: Find the image of A(-2, 3) in: i) x-axis ii) y-axis iii) y = x iv) y = -x v) x = 1 vi) y = -2 vii) y = -x + 5 :) =) 1 solutions Answer 281575 by ewatrrr(10682)   on 2011-01-20 08:43:36 (Show Source): You can put this solution on YOUR website! ``` Hi, have plotted respective images with a larger circle. The idea being if one were to fold along line referenced, points would 'match' up Hope this helps image of A(-2, 3) i) x-axis (-2,-3) ii) y-axis (2,3) image of A(-2, 3) iii) y = x (3,-2) iv) y = -x (-3,2) image of A(-2, 3) v) x = 1 (4,3) vi) y = -2 (-2,-7) image of A(-2, 3) vii) y = -x + 5 (2,7) ```
 Systems-of-equations/397215: Solve by elimination method 0.05x+0.25y=66 0.15x+0.05y=72 I have been trying to figure this out now for the past 3 days and no matter what I do I am coming up with the wrong numbers. 1 solutions Answer 281574 by ewatrrr(10682)   on 2011-01-20 08:35:04 (Show Source): You can put this solution on YOUR website! ``` Hi Solving by elimination method 0.05x+0.25y=66 0.15x+0.05y=72 -.15x -.75y = -198 |mulitplying 1st equation by -3 to eliminate x 0.15x +.05y = 72 -.70y = -126 y = 126/.70 y = 180 0.05x + 0.25y=66 x = (66-45)/.05 x = 420 CHECKING our Answer 0.15*420 + 0.05*180 = 63 + 9 = 72 ```
 Travel_Word_Problems/397197: Beth was required to make a cross-country flight in training for her pilot's license. When she flew from her home airport, a steady 30 miles per hour wind was behind her, and the trip took 5 hours. When she returned against the wind, the flight took 7 hours. Find the plane's speed in still air and the distance traveled each way.1 solutions Answer 281570 by ewatrrr(10682)   on 2011-01-20 08:24:56 (Show Source): You can put this solution on YOUR website! ``` Hi Let x represent the speed of the plane Questions states*** (D = r*t OR r = D/t x + 30 = D/5 x - 30 = D/7 2x = (12/35) D x = (6/35)D x + 30 = D /5 (6/35)D + 30 = D/5 30 = (1/35)D 30*35 = D 1050mi = D x = (6/35)1050 = 180mph CHECKING our Answer 150 = 1050/7 ```
 Expressions-with-variables/397209: what is the solution to this equation y=5x-21 solutions Answer 281566 by ewatrrr(10682)   on 2011-01-20 08:07:01 (Show Source): You can put this solution on YOUR website! ``` Hi y = 5x-2 is a function describing ordered pairs that form a line when graphed the standard slope-intercept form for an equation of a line is: y = mx + b where m is the slope and b the y-intercept. y = 5x-2 is a line with slope m = 5 and the y-intercept is Pt(0,-2) m = (5/1)as y increases/decreases by 5, x increases/decreases by 1 Note: Plotting Pt(0,-2) and using slope to find at least one more point, joining these points with a line completes the graphing ```
 Linear-equations/397212: the graph of the equation Ax+3y=-3 is a line that passes through (2,-5). what is the value of A?1 solutions Answer 281565 by ewatrrr(10682)   on 2011-01-20 07:59:14 (Show Source): You can put this solution on YOUR website! ``` Hi Ax + 3y = -3 |using ordered pair Pt(2,-5) to solve for A. (x= 2 and y= -5 ) A*2 + 3(-5) = -3 A*2 -15 = -3 2A = 12 A = 6 ```
 Travel_Word_Problems/397210: If a boat uses 15 gallons of gas to go 66 miles, how many miles can the boat travel on 60 gallons of gas? 1 solutions Answer 281563 by ewatrrr(10682)   on 2011-01-20 07:55:24 (Show Source): You can put this solution on YOUR website! ``` Hi Let x represent how miles can the boat travel on 60 gallons of gas Question Sets Up the Proportion | cross multiplying to solve for x 15x = 60gal*66mi x = 60*66/15gal x = 264mi CHECKING our Answer 4 times the gas, four times the miles that can be driven! ```
 Linear-equations/397211: how would I solve x/2 + x/3= 3/4 I know the least common denominator is 12 but I am having trouble working the problem out.1 solutions Answer 281562 by ewatrrr(10682)   on 2011-01-20 07:50:16 (Show Source): You can put this solution on YOUR website! ``` Hi solving x/2 + x/3= 3/4 |multiplying each term by 12 6x + 4x = 9 10x = 9 x = 9/10 ```
 Numbers_Word_Problems/397208: The sum of one-half, one-third and one-fourth of a number exceeds the number by 12. The number is1 solutions Answer 281560 by ewatrrr(10682)   on 2011-01-20 07:46:53 (Show Source): You can put this solution on YOUR website! ``` Hi Let x represent the number Write as we Read*** x/2 + x/3 + x/4 = x + 12 solving for x 6x +4x + 3x = 12x + 144 |multiplying each term by 12 x = 144 CHECKING our Answer 72 + 48 + 36 = 156 = 144 + 12 ```
 Complex_Numbers/397200: preform the operation and get your answer in reduced form of a+bi. (2+i)/(-3-4i) i is acting as the imaginary number1 solutions Answer 281559 by ewatrrr(10682)   on 2011-01-20 07:42:04 (Show Source): You can put this solution on YOUR website! ``` Hi ```