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# Recent problems solved by 'ewatrrr'

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 Linear-equations/670055: find the slope and y intercept of the given equation 2y=2/3x+31 solutions Answer 416744 by ewatrrr(10682)   on 2012-10-22 11:32:39 (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. m = 1/3 and y-intercept is 3/2 ```
 Probability-and-statistics/670048: please help!!!! Using the 36 possibilities in the product table for rolling two fair dice, find the odds of rolling each sum: odds of not a sum of 6. 1 solutions Answer 416742 by ewatrrr(10682)   on 2012-10-22 11:29:56 (Show Source): You can put this solution on YOUR website! ``` Hi, P(not a sum of 6) = 31/36 Odds of not a sum of 6 are 31:5 ___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 ```
 Polynomials-and-rational-expressions/670046: I'm having difficulty with solving the following problems. I would be greatful if someone could walk me through all the steps in order to solve. Find the product: (1/4x^2 - 2/7)(-1/2x - 1/2) Thank you!1 solutions Answer 416732 by ewatrrr(10682)   on 2012-10-22 11:18:41 (Show Source): You can put this solution on YOUR website! ``` Hi, Find the product: (1/4x^2 - 2/7)(-1/2x - 1/2) using FOIL F First terms -1/8 x^3 = O Outside terms -1/8 x^2 = I Inside terms 2/14 x = L Last terms 2/14 = ```
 Probability-and-statistics/670035: A firm will promote two employees out of a group of six men and three women. List the chances of this experiment if there is particular concern about gender equity. Which concept of probability would you use to estimate these probabilities? 1 solutions Answer 416731 by ewatrrr(10682)   on 2012-10-22 11:14:00 (Show Source): You can put this solution on YOUR website! ``` Hi, A firm will promote two employees out of a group of six men and three women. process of random selection...demonstrates that the probability of randomly selecting 2 women... is less than the probability of randomly selecting 2 men or 1 of each. P(2 women) = P(2 men) = P(1 each) = ```
 Square-cubic-other-roots/670004: 16. Amelia hikes 12 miles due east and then 5 miles due north. What is the shortest distance in miles back to where she began? (1 point) 13 11 6 41 solutions Answer 416710 by ewatrrr(10682)   on 2012-10-22 09:43:06 (Show Source): You can put this solution on YOUR website! ``` Hi, Amelia hikes 12 miles due east and then 5 miles due north. What is the shortest distance in miles back to where she began? using the Pythagorean Theorem: ```
 Permutations/670010: how many ways can a group of 5 female employees and 7 male employees be selected from 7 female and 10 male employees?1 solutions Answer 416708 by ewatrrr(10682)   on 2012-10-22 09:40:08 (Show Source): You can put this solution on YOUR website! ``` Hi, how many ways can a group of 5 female employees and 7 male employees be selected from 7 female and 10 male employees? ```
 Polynomials-and-rational-expressions/670005: A pipe can fill a tank in 10 hours. If a second pipe is opened, the two pipes together can fill the tank in 6 hours. How long would it take the second pipe alone to fill the tank?1 solutions Answer 416706 by ewatrrr(10682)   on 2012-10-22 09:36:24 (Show Source): You can put this solution on YOUR website! ``` Hi, A pipe can fill a tank in 10 hours. If a second pipe is opened, the two pipes together can fill the tank in 6 hours. How long would it take the second pipe alone to fill the tank? Translate into an equation: PER hr KEY |Multiplying thru by 60x so as all denominators = 1 6x + 60 = 10x 60 = 4x 15hr = x ```
 Linear-systems/669971: If a line passes through the points (2.5,2.5) and (4.5,6.5), the equation of the line is y - 6.5 = 2(x - ___).1 solutions Answer 416705 by ewatrrr(10682)   on 2012-10-22 09:31:38 (Show Source): You can put this solution on YOUR website! ``` Hi, If a line passes through the points (2.5,2.5) and (4.5,6.5) m = -4/-2 = 2 the equation of the line is y - 6.5 = 2(x - 4.5). ```
 Rectangles/669977: Rectangle is 7ft the perimeter is 42 ft what is my width gonna be1 solutions Answer 416701 by ewatrrr(10682)   on 2012-10-22 09:10:00 (Show Source): You can put this solution on YOUR website! ``` Hi, P = 2L + 2W = 42' L + W = 21' ||| L = 7' ⇒ W = 14' ```
 Probability-and-statistics/669992: mean and standard deviation of a series is 100 & 5 respectively. if 20 is multiplied to each observation of the series, then calculate the mean and standard deviation of the new series?1 solutions Answer 416700 by ewatrrr(10682)   on 2012-10-22 09:05:54 (Show Source): You can put this solution on YOUR website! ``` Hi, μ = 100, σ = 5 20 is multiplied to each observation of the series, ⇒ μ = 2000, σ = 100 ```
 Equations/669990: x+3 is one factor of x to the power of 3 + x to the power of 2-14x-24 which of the following expressions is another factor? A. x-8 b. x+4 C. x-3 d. x+21 solutions Answer 416698 by ewatrrr(10682)   on 2012-10-22 08:59:26 (Show Source): You can put this solution on YOUR website! ``` Hi, x^3 + x^2 - 14x - 24 || (x+3)is one factor using Synthetic Divsion -3 1 1 -14 -24 -3 6 24 1 -2 -8 0 results in x^2 - 2x - 8 = 0 (x-4)(x+2) = 0 ```
 Equations/669989: solve for n a =a +dn-d n 1 (the n that is below the a is suppose to be a with the letter n slightly below the a and also the 1 is slightl below the a. Wasn't sure how else to right it. 1 solutions Answer 416697 by ewatrrr(10682)   on 2012-10-22 08:54:24 (Show Source): You can put this solution on YOUR website! ``` Hi, Solve for n ```
 Probability-and-statistics/669988: a bowl of fruit consists of five apples, seven oranges, four pears, and two plums. If a person randomly selects and eats one fruit per day for three days, what is the probability that an apple will be the fruit selected on all three days? (Assume that the selected fruit is not replaced during the three-day period.) a. 0.0123 b.0.0214 c.0.170 d.02781 solutions Answer 416696 by ewatrrr(10682)   on 2012-10-22 08:50:25 (Show Source): You can put this solution on YOUR website! ``` Hi, a bowl of fruit consists of five apples, seven oranges, four pears, and two plums person randomly selects and eats one fruit per day for three days.. P( 3 apples) = ```
 Trigonometry-basics/669984: (cos(t))^2=1/4 Solve the following equation in the interval [0, 2 ]. Note: Give the answer as a multiple of . Do not use decimal numbers. The answer should be a fraction or an integer. Note that is already included in the answer so you just have to enter the appropriate multiple. E.g. if the answer is 2 you should enter 1/2. If there is more than one answer enter them separated by commas. ANS: t = ___ pi1 solutions Answer 416695 by ewatrrr(10682)   on 2012-10-22 08:46:44 (Show Source): You can put this solution on YOUR website! ``` Hi, (cos(t))^2=1/4 cos(t)= ± 1/2 t = (1/3)pi, (5/3)pi, (2/3)pi, (4/3)pi Thought the following (cosx, sinx) summary would help You in Your studies ```
 Inequalities/669637: I suck at math... How do I used the elimination method to solve the system of equations. a+7b=16 a+3b=41 solutions Answer 416486 by ewatrrr(10682)   on 2012-10-21 15:54:56 (Show Source): You can put this solution on YOUR website! ``` Hi, a+7b=16 a+3b=4 ||First subtract 2nd EQ from te 1st EQ to eliminate a 4b = 12 b = 3 The solve for a using one of the EQ above , a = -5 Ordered pair(-5,3) is the solution for this system of equations ```
 Quadratic-relations-and-conic-sections/669617: What is the equation of the directrix for the conic section x^2=24y?1 solutions Answer 416482 by ewatrrr(10682)   on 2012-10-21 15:49:46 (Show Source): You can put this solution on YOUR website! ``` Hi, Standard forms for conics are a 'need to know' What is the equation of the directrix for the conic section x^2=24y? the vertex form of a Parabola opening up(a>0) or down(a<0)is where(h,k) is the vertex and x = h is the Line of Symmetry The standard form is , where the focus is (h,k + p) and y = -(k+p) is the directrix x^2=24y, V(0,0), focus is (0,6) AND DIRECTRIX IS y = -6 ```
 Equations/669633: 24/10+ m +1=24/10-m What would be the simplest way to solve this equation?1 solutions Answer 416481 by ewatrrr(10682)   on 2012-10-21 15:41:49 (Show Source): You can put this solution on YOUR website! ``` Hi, 24/10+ m +1=24/10-m What would be the simplest way to solve this equation? combine Like terms..Isolate the variable on one side of the EQ 24/10+ m +1=24/10-m ||Adding m and -24/10 and -1 to both sides of the EQ 2m = -1 m = -1/2 ```
 Probability-and-statistics/669607: The following are BMI scores measured in 12 patients who are free of diabetes and participating in a study of risk factors for obesity. BMI is measured as the ratio of weight in kilograms to height in meters squared. Generate a 95% confidence interval estimate of the true BMI. 25 27 31 33 26 28 38 41 24 32 35 401 solutions Answer 416480 by ewatrrr(10682)   on 2012-10-21 15:39:07 (Show Source): You can put this solution on YOUR website! ``` Hi, 25 27 31 33 26 28 38 41 24 32 35 40 , m = 31.6667 s = 5.8827, the sample of 12 standard deviation 95% confidence interval , z = 2.2 for a sample size of 12 (degree of freedom= 11) ME = 31.6667 - ME < < 31.6667 + ME ```
 Quadratic_Equations/669615: I am so confused on this. Graph each quadratic function, and state it's domain and range. y=-2x^2+3 The directions are as follows: •There are many ways to go about solving math problems. For this assignment you will be required to do some work that will not be included in the discussion. First, you need to graph your functions so you can clearly describe the graphs in your discussion. Your graph itself is not required in your post, although the discussion of the graph is required. Make sure you have at least five points for each equation to graph. Show all math work for finding the points. •Specifically mention any key points on the graphs, including intercepts, vertex, or start/end points. (Points with decimal values need not be listed, as they might be found in a square root function. Stick to integer value points.) •Discuss the general shape and location of each of your graphs. •State the domain and range for each of your equations. Write them in interval notation. •State whether each of the equations is a function or not giving your reasons for the answer. •Select one of your graphs and assume it has been shifted three units upward and four units to the left. Discuss how this transformation affects the equation by rewriting the equation to incorporate those numbers. •Incorporate the following five math vocabulary words into your discussion. Use bold font to emphasize the words in your writing (Do not write definitions for the words; use them appropriately in sentences describing the thought behind your math work.): ◦Function ◦Relation ◦Domain ◦Range ◦Transformation 31 solutions Answer 416471 by ewatrrr(10682)   on 2012-10-21 15:11:52 (Show Source): You can put this solution on YOUR website!``` Hi, standard forms are a 'need to know' the vertex form of a Parabola opening up(a>0) or down(a<0)is: where(h,k) is the vertex and x = h is the Line of Symmetry Pt(2,-5) on the curve y=-2x^2+3 V(0,3), -2< 0, opening downward, Line of Symmetry is x = 0 (y=axis) function(satisfies the vertical Line test) describes a parabola. domain: (−∞,∞) range: (−∞,3] Transformation(shifted three units upward and four units to the left) y = -2(x+4)^2 + 6 ```
 Probability-and-statistics/669602: BMI in children is approximately normally distributed with a mean of 24.5 and a standard deviation of 6.2. 1) a BMI between 25 and 30 is considered overweight, what proportion of children are overweight? 2) A a BMI of 30 or more is considered obese, what proportion of children are obese? 3) In a random sample of 10 children, what is the probability that their mean BMI exceeds 25?1 solutions Answer 416465 by ewatrrr(10682)   on 2012-10-21 14:51:31 (Show Source): You can put this solution on YOUR website! ``` Hi, μ = 24.5 σ = 6.2 P(25>x<30) = P() - P() P(x>30) = 1 - P() 3) In a random sample of 10 children... P(x >25) = 1 - P() ```
 Probability-and-statistics/669605: The Big Triple at the local racetrack consists of picking the correct order of finish of the first three horses in the ninth race. If there are 12 horses entered in today’s ninth race, how many Big Triple outcomes are possible? 1 solutions Answer 416445 by ewatrrr(10682)   on 2012-10-21 14:23:09 (Show Source): You can put this solution on YOUR website! ``` Hi, 12 horses entered,how many Big Triple outcomes are possible: 12P3 = 12!/9! = (order important) ```
 Graphs/669603: Compute the exact value of distance between (6,0) and (0,-6)1 solutions Answer 416443 by ewatrrr(10682)   on 2012-10-21 14:18:05 (Show Source): You can put this solution on YOUR website! ``` Hi, Re TY, Good Luck on Your endeavors! Compute the exact value of distance between (6,0) and (0,-6) D = ```
 Expressions-with-variables/669566: 18n^2+15n-71 solutions Answer 416441 by ewatrrr(10682)   on 2012-10-21 14:15:06 (Show Source): You can put this solution on YOUR website! ``` Hi, 18n^2+15n-7 factoring (6n +7)(3n-1) check factoring using FOIL F First terms O Outside terms I Inside terms L Last terms ```
 Graphs/669592: Solve the equation fo the given domain Graph th solution set. y=2x-1 for x{-3,-1, 1,2,31 solutions Answer 416440 by ewatrrr(10682)   on 2012-10-21 14:09:05 (Show Source): You can put this solution on YOUR website! ``` Hi, x y=2x-1 (x,y) -3 -7 (-3,-7) -1 -3 (-1,-5) 1 1 (1,1) 2 3 (2,3) 3 5 (3,5) Plot (x,y) points ```
 Circles/669587: Find the center of the circle described by the following equation- 2(x+10)^+2(y-10)^2=181 solutions Answer 416439 by ewatrrr(10682)   on 2012-10-21 14:02:29 (Show Source): You can put this solution on YOUR website! ``` Hi, 2(x+10)^+2(y-10)^2=18 (x+10)^+(y-10)^2=9 C(-10,10) Standard Form of an Equation of a Circle is where Pt(h,k) is the center and r is the radius ```
 Money_Word_Problems/669590: M is the midpoint of segment PQ. Find PQ if PM = 5x+3 and MQ = 2x+12 I am not sure how to start this problem please help me? Also I am sorry if I am posting this in the wrong section I am not sure what this would go under and thank you for help in advanced! 1 solutions Answer 416438 by ewatrrr(10682)   on 2012-10-21 14:00:46 (Show Source): You can put this solution on YOUR website! ``` Hi, M is the midpoint of segment PQ. PM = 5x+3 and MQ = 2x+12 Therefore... PM + MQ = PQ = 5x + 3 + 2x + 12 = 7x + 15 ```
 real-numbers/669556: 18. Which set represent a Pythagorean triple? (1 point) 60, 70, 100 18, 24, 30 10, 14, 17 10, 20, 301 solutions Answer 416437 by ewatrrr(10682)   on 2012-10-21 13:54:11 (Show Source): You can put this solution on YOUR website! ``` Hi, ```
 Rational-functions/669540: Hi! I need help finding the x-intercept of this equation I found the y-intercept by setting x=0 but I can't figure out how to solve it when I set y=o. I thought I had figured it out when I factored the numerator as (x-1)(x-2)(x-3) and found that the intercepts should be (0,2) and (0,3) but the graph doesn't show any intercepts at all. So clearly I'm doing something wrong. I hope you can help! Thanks1 solutions Answer 416428 by ewatrrr(10682)   on 2012-10-21 12:16:33 (Show Source): You can put this solution on YOUR website! ``` Hi, yes. Good work. grapH does cross at x = 2 and x = 3 (a little down and back up going on) Note: x = 1 is a vertical symptote (x= 1 makes the denominator ZERO) ```
 Travel_Word_Problems/669522: A boat takes 2hours to go 4 miles upstream. It can go 8 miles downstream in the same amount of time. Find the rate of the current and the rate of the boat in still water. (Because the current pushes the boat when it is going downstream, the rate of the boat downstream is the sum of the rate of the boat and the rate of the current. The current slows down the boat when it's going upstream so the rate of the boat upstream is the difference of the rate of the boat and the rate of the current. I need to know the rate of the current and the rate of the boat in still water in MPH.1 solutions Answer 416422 by ewatrrr(10682)   on 2012-10-21 11:36:41 (Show Source): You can put this solution on YOUR website! ``` Hi, A boat takes 2hours to go 4 miles upstream. It can go 8 miles downstream in the same amount of time of 2hrs. r - c = 4/2 = 2mph r + c = 8/2 = 4mph ||Adding EQs together to elminate c 2r = 6mph r = 3mph and c = 1mph ```
 test/669525: Order least to greatest 10 to the 5 power 10 to the -3 power 10 to the 0 10 to the -1 10 to the11 solutions Answer 416421 by ewatrrr(10682)   on 2012-10-21 11:29:02 (Show Source): You can put this solution on YOUR website! ``` Hi, will Let You put them inorder from least to greatest ```
 Exponents/669489: 2^5/2 - 2^3/21 solutions Answer 416420 by ewatrrr(10682)   on 2012-10-21 11:25:24 (Show Source): You can put this solution on YOUR website! ``` Hi, 2^5/2 - 2^3/2 = ```