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Recent problems solved by 'ewatrrr'

ewatrrr answered: 22087 problems
 Finance/912920: Find an equation of the line with the given slope that passes through the given point. Write the equation in the form Ax+By=C m=-1/2,(-5,0) The equation of the line in the form Ax+By=C is 1 solutions Answer 554171 by ewatrrr(22107)   on 2014-10-14 12:22:32 (Show Source): You can put this solution on YOUR website! ***Using point-slope form, P(-5,0) y = (-1/2)(x+5) |Multiplying thru by 2 so as all denominators = 1 2y = -x -5 0r x + 2y = -5
 Age_Word_Problems/912915: Fahmida thought of a number,multiplied the number by three,then added 2.Her answer was 23.What was the number she first thought of? 1 solutions Answer 554170 by ewatrrr(22107)   on 2014-10-14 12:14:35 (Show Source): You can put this solution on YOUR website! 3n + 2 = 23 3n = 21 n = 7
 Probability-and-statistics/912914: A typical customer orders at Amazon.com, X( a random variable) is assumed to follow a continous normal distribution with population mean = \$16 and population variance = \$132. What is the probability that the next customer will order more than \$32 of a product(s 1 solutions Answer 554168 by ewatrrr(22107)   on 2014-10-14 12:13:46 (Show Source): You can put this solution on YOUR website! *Note: P(X >32) = 1 - P(x ≤ 32) = 1 - P( z < (32-16)/11.49) = 1 - P(z < 1.3926) = .0819 0r 8.19%
 Rational-functions/912879: Find the distance between the pair of points.Give an exact answer,and where appropriate,an approximation to three decimal places. (-1/4,2)and(-1/4,1/2) 1 solutions Answer 554167 by ewatrrr(22107)   on 2014-10-14 12:09:16 (Show Source): You can put this solution on YOUR website! D = D = = 3/2 0r 1.5
 Rate-of-work-word-problems/912912: Tom and Matt working together can weed the garden in four hours. Working alone, Matt takes four times as long as Tom. How long does it take tom to weed the garden alone? 1 solutions Answer 554166 by ewatrrr(22107)   on 2014-10-14 12:06:01 (Show Source): You can put this solution on YOUR website! x the time it takes tom to weed the garden alone |Multiplying thru by 4x so as all denominators = 1 4 + 1 = x 5 = x, time it takes tom to weed the garden alone
 Age_Word_Problems/912911: Michelle is 3 times my age.The sum of our ages our 36.How old am I? Let my age be x 1 solutions Answer 554165 by ewatrrr(22107)   on 2014-10-14 12:03:13 (Show Source): You can put this solution on YOUR website! x + 3x = 36 4x = 36 x = 9, your age
 Graphs/912907: Describe the transformation from the graph of f(x) = x + 3 to the graph of g(x) = x − 7. Options: The graph g(x) = x − 7 is the result of translating the graph of f(x) = x + 3 up 10 units. The graph g(x) = x − 7 is the result of translating the graph of f(x) = x + 3 down 4 units. The graph g(x) = x − 7 is the result of translating the graph of f(x) = x + 3 up 4 units. OR The graph g(x) = x − 7 is the result of translating the graph of f(x) = x + 3 down 10 units. 1 solutions Answer 554164 by ewatrrr(22107)   on 2014-10-14 12:02:32 (Show Source): You can put this solution on YOUR website! f(x) -10 = g(x) The graph g(x) = x − 7 is the result of translating the graph of f(x) = x + 3 down 10 units.
 Graphs/912909: Describe the transformation from the graph of f(x) = x + 3 to the graph of g(x) = x − 7. 1 solutions Answer 554163 by ewatrrr(22107)   on 2014-10-14 12:01:31 (Show Source): You can put this solution on YOUR website! f(x)-10 = g(x)
 Travel_Word_Problems/912910: Two ships are 900 miles apart and moving toward each other. one ships travels twice as fast as the other.IN 6 HOURS THE SHIPS PASS EACH OTHER. WHAT ARE THE RATE OF EACH SHIP 1 solutions Answer 554162 by ewatrrr(22107)   on 2014-10-14 12:00:08 (Show Source): You can put this solution on YOUR website! d/r = (900-d)/2r = 6 d = 6r (900-6r)/2r = 6 900 -6r = 12r 900 = 6r r = 150mph 150mph and 300mph are the RATEs OF the SHIPs
 Radicals/912908: √5+2√6 -√5-2√6 1 solutions Answer 554161 by ewatrrr(22107)   on 2014-10-14 11:51:00 (Show Source): You can put this solution on YOUR website! √5+2√6 -√5-2√6 = 0 Combining Like Terms
 Finance/912903: Find an equation of the line with the given slope that passes through the given point. Write the equation in the form Ax+By=C m=7,(8,8) The equation of the line in the form Ax+By=C is 1 solutions Answer 554160 by ewatrrr(22107)   on 2014-10-14 11:50:17 (Show Source): You can put this solution on YOUR website! ***Using point-slope form, (y-8)= 7(x-8) y = 7x - 56 + 8 y = 7x -48 0r 7x -y = 48
 Average/912905: Suppose a class has 20 students, who score an average of 80 points on a test. If five more students are added to the class, and the average test score decreases to 78 points, what is the average test score of the five new students? 1 solutions Answer 554159 by ewatrrr(22107)   on 2014-10-14 11:48:27 (Show Source): You can put this solution on YOUR website! (1600+5a)/25 = 78 avg = a =
 Travel_Word_Problems/912906: Melissa drive 260 miles in 12 gallons of gas. At this rate, how many gallons of gas would she need to drive 286 miles? 1 solutions Answer 554158 by ewatrrr(22107)   on 2014-10-14 11:46:25 (Show Source): You can put this solution on YOUR website! | Cross Multiplying to solve x =
 Quadratic-relations-and-conic-sections/912888: Please help me this: a solar collector for heating water is constructed with a sheet of stainless steel that is formed into the shape of a parabola. the water will flow through a pipe that is located at the focus of the parabola. At what distance from the vertex is the pipe? 1 solutions Answer 554156 by ewatrrr(22107)   on 2014-10-14 11:38:20 (Show Source): You can put this solution on YOUR website! V(h,k) F((h+p),k) , D = sqrt((p)^2) = p, where p = 1/4a
 Miscellaneous_Word_Problems/912895: The ABC Company charges \$75 a day plus \$0.05 a mile to rent a car. How many miles did Mrs. Kiley drive if she paid \$92.40 to rent a car for one day? 1 solutions Answer 554155 by ewatrrr(22107)   on 2014-10-14 11:30:06 (Show Source): You can put this solution on YOUR website! x the miles driven 75 + .05x = 92.40 x = 17.40/.05 = 348mi And.. checking \$75 + \$17.40 = \$92.40
 Money_Word_Problems/912896: a woman has money in two accounts. one account pays 6% annual interest, whereas the other pays 12% annual interest. if she has \$500 more invested at 12% than she does at 6% and her total interest for the year is \$186, how much does she have in each account? How do I set up this problem? 1 solutions Answer 554154 by ewatrrr(22107)   on 2014-10-14 11:27:01 (Show Source): You can put this solution on YOUR website! x amount at 12% (like to use the larger percent...in general, easier arithmetic) .12x + .06(x-500) = 186 .18x = 216 x = \$1200, amount at 12% . 700 at 6% And..checking \$144 + \$42 = \$186
 Geometry_Word_Problems/912901: Bill measured the widest distance across the top of a circular can to be 14 centimeters.what is the distance around the rim of the can 1 solutions Answer 554152 by ewatrrr(22107)   on 2014-10-14 11:22:43 (Show Source): You can put this solution on YOUR website! ``` Hi, C = pi(14cm) ```
 Travel_Word_Problems/912899: TWO PLANES LEAVE AN AIRPORT AT 12 NOON TRAVLING IN OPPOSITE DIRECTIONS. THE FIRST PLANE TRAVELS 400MPH. THE SECOND PLANE TRAVELS 900 MPH. AT WHAT TIME ARE THE PLANES AT 1950 MILES APART? 1 solutions Answer 554151 by ewatrrr(22107)   on 2014-10-14 11:21:15 (Show Source): You can put this solution on YOUR website! 400t + 900t = 1950 t = 1950/1300 = 1.5hr 1:30pm PLANES Are 1950 MILES APART
 Travel_Word_Problems/912891: a plane travels from city a to city b, a distance of 1500 miles, in 6 hrs. On the return trip, the plane encounters a headwind, and the trip takes 10 hrs. what is the speed of the headwind? 1 solutions Answer 554150 by ewatrrr(22107)   on 2014-10-14 11:19:03 (Show Source): You can put this solution on YOUR website! w/o a tail wind going: s(w/o wind) = 250mph returning 250 - w = 150 50mph = w ........ with a tail wind going s + w = 250 s - w = 150 2s = 400 s = 200mph w = 50mph
 Functions/912897: For the function f(x)=x^3-x find f(-2) 1 solutions Answer 554149 by ewatrrr(22107)   on 2014-10-14 11:13:24 (Show Source): You can put this solution on YOUR website! f(x)=x^3-x f(-2)= (-2)^3 -(-2) = -8 + 2 = -6 Note: (-3)(-3)(-3) = -8
 Word_Problems_With_Coins/912894: a man has a collection of dimes and nickles with a total value of \$1.70. if he has 8 more dimes than he has nickles, how many of each coin does he have? how do I set up this problem? 1 solutions Answer 554148 by ewatrrr(22107)   on 2014-10-14 11:12:24 (Show Source): You can put this solution on YOUR website! x the number of Nickels CENTS makes sense 10(x+8) + 5x = 170 15x = 90 x = 6,the number of Nickels. Dimes 14 And...checking 140 + 30 = 170cents 0r \$1.70
 Percentage-and-ratio-word-problems/912893: there are 38 students in a class. find the number of boys and girls in the class if the number of girls exceeds one half of the boys by 17 1 solutions Answer 554147 by ewatrrr(22107)   on 2014-10-14 11:09:49 (Show Source): You can put this solution on YOUR website! x the number of boys girls + boys = 38 |Multiplying thru by 2 so as all denominators = 1 x + 34 + 2x = 76 3x = 42 x = 14, the number of boys. Girls 24 And...checking sum = 38
 Rectangles/912892: the length of a rectangle is 5 cm less than 3 times the width. the perimeter is 150 cm. find the length and width. How do I set this up? 1 solutions Answer 554145 by ewatrrr(22107)   on 2014-10-14 11:05:53 (Show Source): You can put this solution on YOUR website! ``` Hi, . 2L + 2w = 150cm 0r L + w = 75cm (3w-5) + w = 75 4w = 80 w = 20cm and L = 55cm And...checking L + w = 75cm ```
 Probability-and-statistics/912887: A teenager receives an average of 5 calls each day on their mobile phone. What is the probability that a teenager will receive exactly 8 calls on his/her mobile phone over a 2- day period? Justify the suitability of the probability distribution used to answer this question. [Ensure that you (1) clearly denote the probability distribution and its parameter(s) and (2) state the formula] 1 solutions Answer 554144 by ewatrrr(22107)   on 2014-10-14 11:03:32 (Show Source): You can put this solution on YOUR website! μ = 10 P(x = 8) = poissonpdf(10,8) = P(x; μ) = (e^(-μ) (μ^x) / x!
 Rectangles/912885: a garden is made up of a rectangular patch of grass and two semi-circular vegetable patches.if the length and width of the rectangular patch are 16 and 8m respectively, calculate: a) the perimeter of the garden b)the total area of the garden 1 solutions Answer 554143 by ewatrrr(22107)   on 2014-10-14 10:58:14 (Show Source): You can put this solution on YOUR website! ``` Hi, . P = 2(16m ) + 2(8m) + 8pi(m) A = (16m)(18m) + pi(4m)^2 ```
 Probability-and-statistics/912886: A recent survey found that 56% of mobile phone users, between the ages of 18 to 34, had a smartphone. Suppose a random sample of 20 mobile phone users were selected. What is the probability that less than 5 of them have a smartphone? [Ensure that you (1) clearly denote the probability distribution and its parameter(s) and (2) state the formula] 1 solutions Answer 554142 by ewatrrr(22107)   on 2014-10-14 10:53:44 (Show Source): You can put this solution on YOUR website! p(smart pome) = .56, n = 20 P(x < 5) = binomcdf(20, .56, 4)= P(0) + P(1) + P(2) + P(3) + P(4) Where p and q are the probabilities of success and failure respectively. In this case p = .56 and q = .44, n = 20
 Probability-and-statistics/912882: The arrival times between cars at an on-ramp can be modeled by a exponential distribution with a mean arrival time of 0.5 minutes. What is the probability of seeing 2 cars in line? 5? 1 solutions Answer 554141 by ewatrrr(22107)   on 2014-10-14 10:46:24 (Show Source): You can put this solution on YOUR website! Poisson Distribution P(x = 2) = poissonpdf(.5,2) P(x = 5) = poissonpdf(.5,5)
 Probability-and-statistics/912884: Given a chi-squared distribution with degrees of freedom = 25, you want to bound a middle portion of the distribution symmetrically; e.g. you want the same amount of probability above and below the middle portion. What are those upper and lower bounds if the middle portion is 90%? 95%? 1 solutions Answer 554139 by ewatrrr(22107)   on 2014-10-14 10:44:31 (Show Source): You can put this solution on YOUR website! the middle portion is 90%...upper and lower bounds: 5% where invNorm(.05) = -invNorm(.95) the middle portion is 95%...upper and lower bounds: .025%
 Probability-and-statistics/912878: Use a normal approximation to find the probability of the indicated number of voters. In this case, assume that 182 eligible voters aged 18-24 are randomly selected. Suppose a previous study showed that among eligible voters aged 18-24, 22% of them voted. Probability fewer than 45 voted. The probability that fewer than 45 of 182 eligible voters voted is ______ (round 4 decimal places) SHOW ALL WORK. 1 solutions Answer 554138 by ewatrrr(22107)   on 2014-10-14 10:40:12 (Show Source): You can put this solution on YOUR website! p(voted) = .22 , n = 182 P(x < 45) = binomcdf(182, .22, 44)
 Probability-and-statistics/912850: It is reported that 19% of Caribbean children experience psychological maltreatment. A researcher randomly selected 130 children across the Caribbean. (a) Describe the sampling distribution for the sample proportion. (b) What is the probability that more than 25% of the children experienced psychological maltreatment? 1 solutions Answer 554137 by ewatrrr(22107)   on 2014-10-14 10:35:09 (Show Source): You can put this solution on YOUR website! P(x > .25) = 1 - P(x ≤ .25) = 1 - P( z < 1.7438) = 1 -.9594 = .0406 = 4.06% with z = (.25-.19)/sqrt(.19*.81/130) = 1.7438