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# Recent problems solved by 'ewatrrr'

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 Probability-and-statistics/628563: If a bad contains 2 red marbles, 3 white marbles and 3 blue marbles what is the probability that the first drawn marble is blue and the second one drawn is red?1 solutions Answer 395727 by ewatrrr(10682)   on 2012-07-15 10:08:13 (Show Source): You can put this solution on YOUR website! ``` Hi If a bag contains 2 red marbles, 3 white marbles and 3 blue marbles. Total with replacement P(1st is blue and 2nd is red) = without replacement P(1st is blue and 2nd is red) = ```
 Surface-area/628556: A field is the form of a circle. The cost of ploughing the field at Rs. 1.50 per m^2 is Rs.5775. The cost of fencing the field at Rs.8.50 per metre is.1 solutions Answer 395726 by ewatrrr(10682)   on 2012-07-15 10:05:07 (Show Source): You can put this solution on YOUR website! ``` Hi, Re TY, note typo A field is the form of a circle. The cost of ploughing the field at Rs. 1.50 per m^2 is Rs.5775. \$1.50· A(in m^2) = Rs.5775 or and r = C = 2pi*r = cost of fencing the field at Rs.8.50 per metre = 8.50· C = 8.50· Using Calculator: Using the keyboard or 8.50·= Rounded to nearest whole number. ```
 Numbers_Word_Problems/628560: A five-digit perfect square in the form of 4a bc9 has a thousand digit a, hundred digit b, and tens digit c. if a > b > c, then find the value of a+b+c.1 solutions Answer 395725 by ewatrrr(10682)   on 2012-07-15 09:52:23 (Show Source): You can put this solution on YOUR website! ``` Hi, perfect square in the form of 4abc9 is among 203^2 thru 223^2 223 , 49729 |a > b > c and a + b + c = 18 203 , 41209 207 , 42849 213 , 45369 217 , 47089 223 , 49729 ```
 Numbers_Word_Problems/628558: The smaller of two numbers is 4 less than the larger. If the sum of their squares is 58, find the numbers.1 solutions Answer 395723 by ewatrrr(10682)   on 2012-07-15 09:28:53 (Show Source): You can put this solution on YOUR website!``` Hi, The smaller of two numbers is 4 less than the larger. Question states*** sum of their squares is 58 x^2 + (x-4)^2 = 58 x^2 + x^2 - 8x + 16 = 58 2x^2 -8x -42 = 0 x^2 - 4x - 21 = 0 solve by factoring: ```
 Linear_Equations_And_Systems_Word_Problems/628549: The cost of renting a certain type of car is \$36 per day plus \$0.11 per 21) mile. A linear function that expresses the cost C of renting a car for one day as a function of the number of miles driven x is C(x) = 0.11x + 36. What is the rental cost for one day if 200 miles are driven?1 solutions Answer 395722 by ewatrrr(10682)   on 2012-07-15 09:21:51 (Show Source): You can put this solution on YOUR website!``` Hi, cost C of renting a car for one day as a function of the number of miles driven x is C(x) = 0.11x + 36. What is the rental cost for one day if 200 miles are driven? C = .11(200) + 36 ```
 Linear_Equations_And_Systems_Word_Problems/628550: The cost of renting a certain type of car is \$50 per day plus \$0.07 per 22) mile. A linear function that expresses the cost C of renting a car for one day as a function of the number of miles driven x is C(x) = 0.07x + 50. How many miles were driven if the rental cost for one day is \$75.90?1 solutions Answer 395718 by ewatrrr(10682)   on 2012-07-15 09:10:37 (Show Source): You can put this solution on YOUR website!``` Hi, cost C of renting a car for one day as a function of the number of miles driven x is C(x) = 0.07x + 50. How many miles were driven if the rental cost for one day is \$75.90? \$75.90 = .07x + 50 25.90/.07 = x, miles driven ```
 Probability-and-statistics/628484: How many people would need to be surveyed on health care to estimate the mean of an entire population to within 2 units if the standard deviation was 12 and we wanted a 92% confidence level? Thank you1 solutions Answer 395716 by ewatrrr(10682)   on 2012-07-15 08:58:38 (Show Source): You can put this solution on YOUR website! ``` Hi, Re TY, Yes! Good work! Two-tailed. How many people would need to be surveyed on health care to estimate the mean of an entire population to within 2 units if the standard deviation was 12 and we wanted a 92% confidence level? 92% confidence level ⇒ z = ME = a a/2 crtical regions 80% 0.2 10% z <-1.28155 z >+1.28155 90% 0.1 5% z <-1.645 z >+1.645 92% 0.8 4% z <-1.751 z >+1.751 95% 0.05 2.50% z <-1.96 z >+1.96 98% 0.02 1% z <-2.326 z >+2.326 99% 0.01 0.50% z<-2.576 z >+2.576 ```
 Permutations/628548: It has been estimated that only about 30% of California residents have adequate earthquake supplies. Suppose you randomly survey 11 California residents. We are interested in the number who have adequate earthquake supplies. d. What is the probability that at least 8 have adequate earthquake supplies? e. Is it more likely that none or that all of the residents surveyed will have adequate earthquake supplies? Why? I tried to do this question by using Binomial Probability Distribution. I took my p as 0.3 and n=11. But it says at least 8 so the probability was P(x>=8) and when i calcualated i got some weird result . If anyone can and have time to do it i would appriciate thank you!1 solutions Answer 395714 by ewatrrr(10682)   on 2012-07-15 08:50:48 (Show Source): You can put this solution on YOUR website! ``` Hi, 30% of California residents have adequate earthquake supplies...survey 11 of them P(x ≥ 8) = 11C8(.3)^8(.7)^3 + 11C9(.3)^9(.7)^2 + 11C10(.3)^10(.7)^1 + 11C11(.3)^11 Stattrek.com Bionomial Calculator gives P(x ≥ 8) = .0043 e. Is it more likely that none or that all of the residents surveyed will have adequate earthquakesupplies? Why? None (only 30% have them)and ... P(0)= .02 > P(11)= .0000018 ```
 Probability-and-statistics/628488: The odds against Lounging Larry winning the horse race are 5:12. Determine the probability that Lounging Larry wins the horse race. 5/12 12/5 17/5 5/17 12/171 solutions Answer 395706 by ewatrrr(10682)   on 2012-07-15 08:28:47 (Show Source): You can put this solution on YOUR website! ``` Hi, The odds against Lounging Larry winning the horse race are 5:12. (5 Ls for every 12 Ws) P(W) = 12/17 ```
 Probability-and-statistics/628485: Determine the probability that the spinner lands on yellow: In a pie chart there are 2 yellow slices, 2 green slices, 4 red slices, * 0.5 * 0.25 * 0.33 * 1.5 * 0.671 solutions Answer 395705 by ewatrrr(10682)   on 2012-07-15 08:14:55 (Show Source): You can put this solution on YOUR website! ``` Hi, In a pie chart there are 2 yellow slices, 2 green slices, 4 red slices: Total P(yellow) = 2/8 = 1/4 ```
 Probability-and-statistics/628489: A person spins the pointer and is awarded the amount indicated by the pointer. In a pie chart there is half of the pie at \$2, the other half is split in two one being \$10 and the other being \$15, It costs \$8 to play the game. Determine: The expectation of a person who plays the game. The fair price to play the game Show work for full credit1 solutions Answer 395704 by ewatrrr(10682)   on 2012-07-15 08:09:22 (Show Source): You can put this solution on YOUR website! ``` Hi, half of the pie at \$2, 1/4 at \$10 and 1/4 at \$15... It costs \$8 to play the game Expected "winnings" = = -.75˘ The fair price to play the game: = 0 = 0 |Multiplying thru by 4 so as all denominators = 1 4 - 2x + 10 - x + 15 - x = 0 29 = 4x x = 29/4 = \$7.25 ```
 Probability-and-statistics/628483: The attendance for a week at a local theatre is normally distributed, with a mean of 4000 and a standard deviation of 500. Draw the normal curve to represent the normally distributed attendance for the week. What percentage of the attendance would be less than 3500? What percentage of the attendance would be greater than 5000? What percentage of the attendance figures would be between 3700 and 4300 each week? Am I supposed to try and solve this from the graph or can it be calculated? Thank you for your help.1 solutions Answer 395701 by ewatrrr(10682)   on 2012-07-15 07:53:45 (Show Source): You can put this solution on YOUR website! ``` Hi, mean of 4000 and a standard deviation of 500 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 This curve alone does not give exact percentages with the exception of P(z=0) = .50 or 50% A Pictorial where 'some' of the % have been added for helps more... However, most often one needs to use a table, calculator, or an Excel function ect to find exact Percentage, after finding z: P(x < 3500) = P(z = (3500-4000)/500) = P(z = -1) = 1 - () = 1 - (.5 +.341) = 1-.841 = .159 or 15.9% |using above pictorial P(x > 4000) = P(z = 0) = .50 or 50 % |using above pictorial P(3700< x < 4300) = P( - z =) = P( - ) Using Calulator etc: Here, am using the Excel NORMSDIST function to find the Percenatges: P( - ) = .7257 - .2742 =.4515 or 45.15% ```
 Equations/628325: Determine whether (-2,3) is the solution of both the equations y-2x=7 and 2x+y=1.1 solutions Answer 395557 by ewatrrr(10682)   on 2012-07-14 09:30:42 (Show Source): You can put this solution on YOUR website! ``` Hi, Determine whether ordered pair(x,y): (-2,3) is the solution of both the equations y-2x=7 Sustituting x and y: - 2·=7 2x+y=1 Sustituting x and y: 2·+=1 ```
 Radicals/628226: I have a test that is coming up this Sunday and I need to know how to solve these type of Radical word problems. Can someone please help me with these questions and scenarios? Note: For any decimal answers, please round to two decimal places. The speed of a tsunami approaching land depends on the depth of the water the tsunami is in. So, the speed of the tsunami changes as is approaches the shore. The speed (in meters per second) of a tsunami in water that is d meters deep is given by s=3.13 square root d. PROBLEM SHOW YOUR SOLUTIONS HERE 1. Solve this equation for d 2. By looking at the equation, would you expect tsunamis to travel faster or slower as they get closer to the shore (in shallower water)? 3. Find the speed of a tsunami in a depth of 500 m 4. Find the speed of a tsunami in a depth of 100 m 5. Do the answers to problems 3 and 4 confirm your expectation from problem 2? Do Tsunami’s travel faster or slower in shallow water? 1 solutions Answer 395472 by ewatrrr(10682)   on 2012-07-13 16:39:39 (Show Source): You can put this solution on YOUR website! ``` Hi, 1. Solve this equation for d = 2. By looking at the equation , would you expect tsunamis to travel faster or slower as they get closer to the shore (in shallower water)? slower 3. Find the speed of a tsunami in a depth of 500 m 4. Find the speed of a tsunami in a depth of 100 m 5. Do the answers to problems 3 and 4 confirm your expectation from problem 2? Yes Do Tsunami’s travel faster or slower in shallow water? ```
 Trigonometry-basics/628220: Describe the pattern formed in the sequence 16,-8,4,-2,1... Find the next three terms.1 solutions Answer 395471 by ewatrrr(10682)   on 2012-07-13 16:30:37 (Show Source): You can put this solution on YOUR website! ``` Hi, Geometric Sequence: {16,-8,4,-2,1...} r = -1/2 ```
 Probability-and-statistics/628196: A normally distributed population of scores has μ = 100 and σ = 5. Based on this information, solve the following questions: a. If a sample consisting of n=36 scores is selected from this population, what is the probability that the sample will have M=98 or greater?1 solutions Answer 395470 by ewatrrr(10682)   on 2012-07-13 16:21:53 (Show Source): You can put this solution on YOUR website! ``` Hi, P(x ≥ 98) = 1 - P(x≤ 97.5) = 1-.0025 = .9975 |Using 97.5 as a lower limit *Note: P(x ≤ 97.5) = P(t = with df = 35, P( t ≤ -3) = .0025 (stattrek.com T Distribution Calculator) ```
 Probability-and-statistics/628192: use the standard normal distribution to find P (-2.251 solutions Answer 395456 by ewatrrr(10682)   on 2012-07-13 15:07:46 (Show Source): You can put this solution on YOUR website! ``` Hi, re TY the NORMDIST function can be accessed in an excel worksheet: 1. click on a Cell(Space) 2. Click "Insert"(up at the top) (function) 3. chose Statistical /NORMSDIST 4. type in z -value 5. Hit OK using Excel NORMSDIST function: P (-2.25 < z <1.25) = NORMSDIST(1.25) - NORMSDIST(-2.25) = .8944 - .0122 = .8822 ```
 Quadratic-relations-and-conic-sections/628200: x^2/49-y^2/64=1 find the foci1 solutions Answer 395454 by ewatrrr(10682)   on 2012-07-13 14:58:05 (Show Source): You can put this solution on YOUR website! ``` Hi, Standard Form of an Equation of an Ellipse is where Pt(h,k) is the center. (a variable positioned to correspond with major axis) a and b are the respective vertices distances from center and ±are the foci distances from center: a > b C(0,0) and foci are (0, ±) ```
 �t�e�s�t/628189: the length of pregnancies of humans are normally distributed with a mean of 268 days and a standard deviation of 15 days. find the probabilty of a pregnancy lasting less than 250 days. the answer should be 0.1151. but i dont know how she got it.1 solutions Answer 395453 by ewatrrr(10682)   on 2012-07-13 14:51:42 (Show Source): You can put this solution on YOUR website! ``` Hi, Re TY, sry on the typo, NORMSDIST(-1.2) = .1151, NORMSDIST is the Excel fucntion used here to detemine the Probability. ONe may use a Calculator or z - table to find the Accumulative Probabilities to the left of a particular z-score the length of pregnancies of humans are normally distributed with a = 268 days and = 15 days. *Note: P (x < 250) = P ( = -1.2) Excel function: NORMSDIST(-1.2) = .1151 ```
 Probability-and-statistics/628169: Find the correlation coefficient between X and Y. Is there a weak or strong, positive or negative linear correlation between X and Y? X -5,-3,4,1,-1,-2,0,2,3,-4 Y -10,8,9,1,-2,-6,-1,3,6,-81 solutions Answer 395451 by ewatrrr(10682)   on 2012-07-13 14:33:35 (Show Source): You can put this solution on YOUR website! ``` Hi, Using Excel function CORREL, r = .7264, strong positive correlation ```
 Probability-and-statistics/628167: A manager wishes to determine the relationship between the number of miles (in hundreds of miles) the manager's sales representatives travel per month and the amount of sales (in thousands of dollars) per month. Find the equation of the regression line for the given data. Predict the value of sales when the sales representative travel 8 miles. Predict the value of sales when tthe sales representative traveled 11 miles. Miles Traveled, x 2,3,10,7,8,15,3,1,11 Sales, y 31,33,78,62,65,61,48,55,120 1 solutions Answer 395443 by ewatrrr(10682)   on 2012-07-13 13:52:24 (Show Source): You can put this solution on YOUR website! ``` Hi, Miles Traveled, x: 2, 3,10,7, 8, 15,3, 1, 11 mean = 6.67 Sales, y: 31,33,78,62,65,61,48,55,120 mean = 61.4 Re: www.alcula.com/calculators/statistics/linear-regression/ Regression line equation: a = and y = 3.53x + 37.9 when x = 8 ⇒ y = 66.15 when x = 11 ⇒ y = 76.74 ```
 Probability-and-statistics/628166: The data below are the final exam scores of 10 randomly selected statistics students and the number of hours they studied for the exam. Find the equation of the regression line for the given data. Predict the final exam score when a student studied for 4 hours. Predict the final exam score when a student studied for 6 hours. Hours,x 3,5,2,8,2,4,4,5,6,3 scores,y 65,80,60,88,66,78,85,90,711 solutions Answer 395424 by ewatrrr(10682)   on 2012-07-13 12:27:09 (Show Source): You can put this solution on YOUR website! ``` Hi, only 9 test scores listed ```
 logarithm/628159: Use the change-of-base formula to approximate the logarithm accurate to the nearest ten thousandth. log5(30) = ?1 solutions Answer 395423 by ewatrrr(10682)   on 2012-07-13 12:23:14 (Show Source): You can put this solution on YOUR website! ``` Hi, log5(30) = log (30)/log(5) = 2.1133 || Using Calculator. Note: log is base ten ```
 Probability-and-statistics/628151: 1)On average, 20 percent of the emergency room patients at Bedford hospital lack health insurance. In a random sample of 8 patients what is the probability that 2 will be uninsured? 2)On average, 20 percent of the emergency room patients at Bedford hospital lack health insurance. In a random sample of 8 patients what is the probability that 2 will be insured? 3On average, 20 percent of the emergency room patients at Bedford hospital lack health insurance. In a random sample of 8 patients what is the probability that no more than 1 patient is uninsured? 4) Consumers report on average 1.7 problems per vehicle with a popular make and model of a 2006 car. we randoly select a vehicle of the same make, model and year. what is the probability that it will have more than 3 problems 5. At an outpatient mental health clinic, appointment cancellations occur at a mean rate of 1.5 per day on a typical wednesday. What is the probability that less than 3 cancellations will occur on 2 wednesdays? 6 Thje pediatrics unit at Bedford hospital has 24 beds. The number of patients needing a bed at any point in time is normally distributed with a mean of 19.2 and standard deviation of 2.5. What is the probability that the number of patients needing a bed will exceed the pediatric unit bed capacity1 solutions Answer 395422 by ewatrrr(10682)   on 2012-07-13 12:16:19 (Show Source): You can put this solution on YOUR website! ``` Hi, 1- 3 Bionimal Distribution Problems 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 = .20(uninsured & q = .80(insured) nCx = 1. P(x= 2) = 8C2 (.20)^2(.80)^6 = .2936 2. P(x=6) = 8C6(.20)^6(.80)^2 = .0011 3. P(x<1) = P(x=0) + P(x=1) = .1678 + .3355 = .5033 Using Normal distribution for #4 with SD = 1, therefore z = 1.3 and P(>3) = 1 - P(z=1.3) find 1 - NORMSDIST(1.3) Using Poison Distribution for #5, Use stattrek.com Poison Distribution Calculator (WED and WED <3) = Using Normal distribution for #4 with mean of 19.2 and standard deviation of 2.5 P(x>24) = 1 - P(z = (24-19.2)/2.5) find 1 - NORMSDIST(1.92) ```
 Probability-and-statistics/628111: The odds against Lounging Larry winning the horse race are 5:12. Determine the probability that Lounging Larry wins the horse race.1 solutions Answer 395410 by ewatrrr(10682)   on 2012-07-13 09:47:11 (Show Source): You can put this solution on YOUR website! ``` Hi, odds against winning 5:12 |m:n odds against: event will not occur m times for every n times it does occur. P(winning) = 12/17 ```
 Probability-and-statistics/628128: spin the spinner in exercise 27-30, assume that the spinner cannot land on a line. Determine the probability that the spinner lands on (a)red, (b)green, (c)yellow,(d)blue. The picture of the circle is 1/2 green, 1/4 red, and 1/4 yellow.1 solutions Answer 395409 by ewatrrr(10682)   on 2012-07-13 09:38:04 (Show Source): You can put this solution on YOUR website! ``` Hi, circle is 1/2 green, 1/4 red, and 1/4 yellow. probability that the spinner lands on P(red) = 1/4 P(green)= 1/2 P(yellow) = 1/4 P(blue) = 0 ```
 Probability-and-statistics/628112: Mr. Doodle’s grade distribution over the past 3 years for a course in college algebra is shown in the chart below. Grade Number A 45 B 180 C 210 D 95 F 65 I 5 If Jane plans to take a college algebra course with Mr. Doodle, determine the empirical probability that she receives at least a B. 1 solutions Answer 395408 by ewatrrr(10682)   on 2012-07-13 09:33:55 (Show Source): You can put this solution on YOUR website! ``` Hi, A 45 B 180 C 210 D 95 F 65 I 5 595 P(at least a B)= 225/595 ```
 Probability-and-statistics/628092: Billie wishes to test the hypothesis that overweight individuals tend to eat faster than normal-weight individuals. To test this hypothesis, she has two assistants sit in a McDonald’s restaurant and identify individuals who order the Big Mac special for lunch. The Big Mackers as they become known are then classified by the assistants as overweight, normal weight, or neither overweight nor normal weight. The assistants identify 10 overweight and 10 normal weight Big Mackers. The assistants record the amount of time it takes them to eight the Big Mac special. 1.0 585.0 1.0 540.0 1.0 660.0 1.0 571.0 1.0 584.0 1.0 653.0 1.0 574.0 1.0 569.0 1.0 619.0 1.0 535.0 2.0 697.0 2.0 782.0 2.0 587.0 2.0 675.0 2.0 635.0 2.0 672.0 2.0 606.0 2.0 789.0 2.0 806.0 2.0 600.0 a)Compute an independent-samples t-test on these data. Report the t-value and the p values. Where the results significant? (Do the same thing you did for the t-test above, only this type when you go to compare means, click on independent samples t-test. When you enter group variable into grouping variable area, it will ask you to define the variables. Click define groups and place the number 1 into 1 and the number 2 into 2)?? b)What is the difference between the mean of the two groups? What is the difference is standard deviation? c)What is the null and alternative hypothesis? Do the data results lead you to reject or fail to reject the null hypothesis? d)What do the results tell you? There seem to be a lot of typos. I copied the questions exactly as they are in the homework. I have been racking my brain and trying to figure these problems out using the text book but I am running out of time and need help understanding how to answer these questions. Thank you. 1 solutions Answer 395406 by ewatrrr(10682)   on 2012-07-13 09:23:39 (Show Source): You can put this solution on YOUR website! ``` Hi, I. find Mean and SD for each sample. Sample 1: m = 589, SD = 42.615 Sample 2: m = 684.9, SD = 82.225 II. Find the t-value t = Which is significant at the 99% Level(degree of Freedom 18): 3.2745 > 2.88 DF 0.1 0.05 0.01 0.001 18 1.73 2.1 3.92 b)What is the difference between the mean of the two groups? 684.9-589 What is the difference is standard deviation? 82.25-42.615 c)What is the null and alternative hypothesis? : m for over weight people ≤ 589 : m for over weight people > 589 As 3.2745 > 2.88, we reject the null hypothesis overweight people do eat faster according to this study Note: www.chem.uoa.gr is an interesting site ```
 logarithm/628058: Evaluate the expression: log[3](log[5](125))1 solutions Answer 395340 by ewatrrr(10682)   on 2012-07-12 20:53:12 (Show Source): You can put this solution on YOUR website! ``` Hi, Note: | | ```
 Polynomials-and-rational-expressions/628065: Factor each expression completely: 70p^4q^3-35p^4q^2+49p^5q^2 i have so far as the GCF: 7p^2q^2 is this correct? also have this so far: 7p^2q^2(10p^2q-5p^2+7p^3) am i going in the right direction?1 solutions Answer 395339 by ewatrrr(10682)   on 2012-07-12 20:45:42 (Show Source): You can put this solution on YOUR website! ``` Hi || Keep going...More common factors of "p" ```
 test/628004: Find the complex zeros of the polynomial function. Write f in factored form. f(x)=x^3-5x^2+9x-5 Use the complex zeros to write f in factored form. f(x)= reduce fractions and simplify roots.1 solutions Answer 395336 by ewatrrr(10682)   on 2012-07-12 20:39:43 (Show Source): You can put this solution on YOUR website! ``` Hi f(x)=x^3-5x^2+9x-5 | x = 1 is a solution Using synthetic division 1 1 -5 9 -5 1 -4 5 1 -4 5 0 f(x) = (x-1)(x^2 - 4x + 5} x^2 - 4x + 5 ```