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 Numeric_Fractions/445926: 26.414 is 28.1% of what number?1 solutions Answer 307087 by ewatrrr(10682)   on 2011-05-06 11:00:11 (Show Source): You can put this solution on YOUR website!``` Hi 26.414 is 28.1% of what number? Let x represent that number 28.1% = 28.1/100 = .281 .281*x = 26.414 x = 26.414/.281 x = 94 CHECKING our Answer*** .281*94 = 26.414 ```
 Numeric_Fractions/445925: What is 441% of 612?1 solutions Answer 307085 by ewatrrr(10682)   on 2011-05-06 10:56:02 (Show Source): You can put this solution on YOUR website!``` Hi Finding 441% of 612 441/100 = 4.41 4.41*612 = 2521.44 ```
 Numeric_Fractions/445923: Convert 22/125 to a percent. 1 solutions Answer 307084 by ewatrrr(10682)   on 2011-05-06 10:54:19 (Show Source): You can put this solution on YOUR website!``` Hi Convert 22/125 to a percent |cross multiplying to solve for x 125x = 22*100 x = 22*100/125 x = 2200/125 x = 17.6 = 17.6% ```
 Numeric_Fractions/445922: Convert 0.8% to a decimal.1 solutions Answer 307083 by ewatrrr(10682)   on 2011-05-06 10:50:33 (Show Source): You can put this solution on YOUR website!``` Hi Converting 0.8% to a decimal. .8% = .8/100 = .008 ```
 Linear-equations/445777: Given two points through which a line passes, write the equation of each line in slope-intercept form (-4,3) and (-2,1)1 solutions Answer 307082 by ewatrrr(10682)   on 2011-05-06 10:24:16 (Show Source): You can put this solution on YOUR website! ``` Hi, Using the point-slope formula, (-4,3) and (-2,1) m = 2/-2 = -1 Note: 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 = -x + b 1 = -1*-2 + b -1 = b y = -x -1 ```
 Linear-equations/445954: Find the slope of the line containing the pair of points. (5,7) and (8,1) thank you1 solutions Answer 307081 by ewatrrr(10682)   on 2011-05-06 10:21:27 (Show Source): You can put this solution on YOUR website! ``` Hi, Using the point-slope formula, (5,7) and (8,1) m = 6/-3 = -2 Note: 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 = -2x + b 1 = -2*8 + b 17 = b y = -2x + 17 ```
 Linear-equations/445780: Given two points through which a line passes, write the equation of each line in slope-intercept form. (2,7) and (5,3)1 solutions Answer 307080 by ewatrrr(10682)   on 2011-05-06 10:18:42 (Show Source): You can put this solution on YOUR website! ``` Hi, Using the point-slope formula, (2,7) and (5,3) m = 4/-3 = -4/3 Note: 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 = -(4/3)x + b 3 = -(4/3)*5 + b 29/3 = b y = -(4/3)x + 29/3 ```
 Linear-equations/445955: Find an equation of the line having the given slope and containing the given point. m=-2,(3,9) The equation of the line is Y=_______ thank you. 1 solutions Answer 307079 by ewatrrr(10682)   on 2011-05-06 10:14:37 (Show Source): You can put this solution on YOUR website! ``` Hi, 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 = -2 and line contains(3,9) y = -2x + b 9 = -2*3 + b 15 = b y = -2x + 15 ```
 Linear-equations/445958: I am having trouble with Graphs and Linear Equations. Please help me solve this problem x+4y=8 and tell me how to find the two points to be able to graph it.1 solutions Answer 307078 by ewatrrr(10682)   on 2011-05-06 10:10:27 (Show Source): You can put this solution on YOUR website! ``` Hi, finding two points: using.. x = 0 and x = 4 x + 4y=8 0 + 4* = 8 Pt(0,) on the line 4 + 4* = 8 Pt(4,) on the line Plotting points and connecting with a line: ```
 Quadratic-relations-and-conic-sections/445286: Identify the conic section section formed by 9x^2 - y^2 = 91 solutions Answer 307077 by ewatrrr(10682)   on 2011-05-06 09:57:01 (Show Source): You can put this solution on YOUR website! ``` Hi, Note: Standard Form of an Equation of an Hyperbola opening "right and left" is where Pt(h,k) is a center with vertices 'a' units right and left of center. 9x^2 - y^2 = 9 ```
 Quadratic-relations-and-conic-sections/445873: Hyperbolas: Could someone please tell me how to determine if the following indicate the foci are on the x-axis or the y-axis? x^2/4 -y^2/16 = 1 x^2/49 - y^2/9 = 1 x^2/36 - y^2/16 = 1 1 solutions Answer 307076 by ewatrrr(10682)   on 2011-05-06 09:48:15 (Show Source): You can put this solution on YOUR website! ``` Hi, Note: Standard Form of an Equation of an Hyperbola opening "right and left" is where Pt(h,k) is a center with vertices 'a' units right and left of center. These all open right and left with Centers(0,0) and foci along the x-axis vertices (-2,0) and (2,0) foci sqrt(20) each side of center (((x^2/49 - y^2/9 = 1}}} vertices (-7,0) and (7,0) foci sqrt(58) each side of center vertices (-6,0) and (6,0) foci sqrt(52) each side of center Graph of ```
 Quadratic-relations-and-conic-sections/445932: x^2-18x-y^2+12y=19, find the center and vertices1 solutions Answer 307075 by ewatrrr(10682)   on 2011-05-06 09:35:42 (Show Source): You can put this solution on YOUR website! ``` Hi, Note: Standard Form of an Equation of an Hyperbola opening right and left is where Pt(h,k) is a center with vertices 'a' units right and left of center. x^2-18x-y^2+12y=19 (x-9)^2 -81 -[(y-6)^2-36] = 19 (x-9)^2 -81 -(y-6)^2+36 = 19 (x-9)^2 -(y-6)^2 = 64 C(9,6) with vertices V(1,6) and V(17,6) ```
 Probability-and-statistics/445494: Write equation in quadric form http://i1142.photobucket.com/albums/n608/nancylam67/Page37028.jpg http://i1142.photobucket.com/albums/n608/nancylam67/IMG.jpg I Appreciate to help my home work 1 solutions Answer 306882 by ewatrrr(10682)   on 2011-05-05 12:32:34 (Show Source): You can put this solution on YOUR website! ``` Hi 36x^2/3 + 18x^1/3 + 5 Let u = x^1/3 36u^2 + 18u + 5 ```
 Probability-and-statistics/445501: An object is accelerating at 50 feet second squared.How fast is it accelerating in meters per second squared?(page 394# 7) The key is: 15.24m/s^2 1 solutions Answer 306878 by ewatrrr(10682)   on 2011-05-05 12:26:28 (Show Source): You can put this solution on YOUR website! ``` Hi Note 1m = 3.2808ft = 15.24m/sec^2 ```
 Probability-and-statistics/445510: For a game,Patricia must roll a die and draw a card from a deck of 26 cards, with each one having a letter of the alphabet on it .What is the probability that Pateicia will roll an odd number and draw a letter in her name? .(page 401# 35) The key is: 3/261 solutions Answer 306875 by ewatrrr(10682)   on 2011-05-05 12:21:52 (Show Source): You can put this solution on YOUR website! ``` Hi For a game,Patricia must roll a die and draw a card from a deck of 26 cards, with each one having a letter of the alphabet on it 1,2,3,4,5,6 (3 evens out of six numbers) Patricia letters are a,c,i,p,r,t which are 6 out of the 26 letters P(odd number and a letter in her name) = ```
 Probability-and-statistics/445506: Each of the numbers 0 through 14 is written on a piece of paper and all of the pieces of paper are placed in a hat. One number is selected at random. Determine the probability that the number selected is even. *8/15 *1/2 *3/7 *6/151 solutions Answer 306870 by ewatrrr(10682)   on 2011-05-05 12:12:34 (Show Source): You can put this solution on YOUR website! ``` Hi Each of the numbers 0 through 14 is written on a piece of paper and all of the pieces of paper are placed in a hat. 15 Numbers in all. P(number selected is even) = (8 even numbers in all - zero an even number) ```
 Probability-and-statistics/445476: Which pair has equally likely outcomes? Check the 2 choices below which have equal probabilities of success. A standard deck of cards has 12 face cards and four aces. (Aces are not face cards). *Rolling a sum of 9 on two fair six sided dice. *Drawing the queen of diamonds out of a standard 52 card deck given it's a face card. *Rolling a sum of 11 on two fair six sided dice. *Drawing a king out of a standard 52 card deck given it's a face card. *Rolling a sum of 10 on two fair six sided dice.1 solutions Answer 306847 by ewatrrr(10682)   on 2011-05-05 11:01:29 (Show Source): You can put this solution on YOUR website!``` Hi P(A given B) = P(A|B) = P(A and B)/P(B) P(Rolling a sum of 9 on two fair six sided dice.) = 4/36 = 1/9 P(queen of diamonds|it's a face card) = = 1/12 P(Rolling a sum of 11 on two fair six sided dice) = 2/36 = 1/18 P( king |it's a face card) = = 4/12 = 1/3 P(Rolling a sum of 10 on two fair six sided dice) = 3/36 = 1/12 ___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 ```
 Probability-and-statistics/445470: The average years of employee experience at a company with 10,000 employees is normally distributed, with a standard deviation of 12 years. If a sample of 50 employees indicates a mean age of 38, calculate 90 percent and 99 percent confidence intervals for the population mean.1 solutions Answer 306844 by ewatrrr(10682)   on 2011-05-05 10:52:09 (Show Source): You can put this solution on YOUR website!``` Hi The average years of employee experience at a company with 10,000 employees is normally distributed, with a standard deviation of 12 years. If a sample of 50 employees indicates a mean age of 38, calculate 90 percent confidence intervals for the population mean. ME = 1.645[38/sqrt(50)] = 8.8402 CI: 99 percent confidence intervals for the population mean. ME =2.575[38/sqrt(50)] = 13.8381 CI: a a/2 crtical regions 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 <-2.33 z >+2.33 99% 0.01 0.50% z<-2.575 z >+2.575 ```
 Probability-and-statistics/445449: If P(A) = 0.20, P(B) = 0.40 and P(A and B) = 0.08, then A and B are: A. dependent events B. independent events C. mutually exclusive events D. complementary events 1 solutions Answer 306839 by ewatrrr(10682)   on 2011-05-05 10:40:57 (Show Source): You can put this solution on YOUR website!``` Hi If P(A) = 0.20, P(B) = 0.40 and P(A ∩ B) = 0.08: Note: Two events A and B are independent if and only if Pr(A ∩ B) = Pr(A)Pr(B). therefore then A and B are Independent Events ```
 Probability-and-statistics/445458: The theoretical probability of undesirable side effects resulting from taking Grebex is 1 in 20. If 100 people take Grebex to lower their blood pressure, how many will encounter undesirable side effects?1 solutions Answer 306835 by ewatrrr(10682)   on 2011-05-05 10:25:56 (Show Source): You can put this solution on YOUR website! ``` Hi The theoretical P(of undesirable side effects resulting from taking Grebex) is 1 in 20. If 100 people take Grebex to lower their blood pressure how many will encounter undesirable side effects? One would expect that 5% would: Note: 1/20 = .05 people = 5 People ```
 Probability-and-statistics/445456: One thousand raffle tickets are sold for \$5.00 each. One grand prize of \$1000 and two consolation prizes of \$200 each will be awarded. Jeremy purchases one ticket. Find his expected value. Show your work for full credit.1 solutions Answer 306833 by ewatrrr(10682)   on 2011-05-05 10:19:43 (Show Source): You can put this solution on YOUR website! ``` Hi Note: in red: prize amount - the \$5 cost of the ticket One thousand raffle tickets are sold for \$5.00 each. One grand prize of \$1000 and two consolation prizes of \$200 each will be awarded. total prize money awarded = \$1000, \$200, 200 E(X)=∑X*P(X) = = .995 + .195 + .195 - 4.985 = -\$3.60 ```
 Probability-and-statistics/445454: A bag contains 7 lavender marbles, 11 turquoise marbles and 5 rainbow marbles. What is the chance of drawing a turquoise marble? If a turquoise marble is drawn then placed back into the bag, and a second marble is drawn, what is the probability of drawing a rainbow marble? Give solutions exactly in reduced fraction form, separated by a comma.1 solutions Answer 306831 by ewatrrr(10682)   on 2011-05-05 10:01:43 (Show Source): You can put this solution on YOUR website! ``` Hi 23 Marbles in all of which: 7 are lavender, 11 are turquoise and 5 are rainbow P(drawing a turquoise) = Turquoise replaced..back to 23 marbles in the bag P(drawing a rainbow) = ```
 Probability-and-statistics/445391: In one region, the september energy consumption levels for a single-family homes are found to be nomrally distributed with a mean of 1030kWh and a standard deviation of 22kWh. Find the probability that for 16 randomly selected homes, the average energy consumption in September is less than 1021kWh. A) 0.0505 B)03.409 C)0.6591 D)0.94951 solutions Answer 306827 by ewatrrr(10682)   on 2011-05-05 09:48:33 (Show Source): You can put this solution on YOUR website! ``` Hi september energy consumption levels for a single-family homes are found to be normally distributed of 1030kwph and a of 22kwh probability that for 16 randomly selected homes, the average energy consumption in September is less than 1021kWh *Note: z = P( z < -1.6364) = .0509 NORMSDIST(-1.6364)per Excel Point being not much probability of that happening ```
 Probability-and-statistics/445434: Assume that adults have IQ scores that are normally distributed with a mean of 105 and a standard deviation of 20. Find P(sub/small)14, which is the IQ score separating the bottom 14% from the top 86%. 1 solutions Answer 306825 by ewatrrr(10682)   on 2011-05-05 09:32:31 (Show Source): You can put this solution on YOUR website! ``` Hi IQ scores that are normally distributed with a of 105 and a of 20 Find *Note: lower 14% then z = -1.0803 NORMSINV(0.14) -1.0803 = (x - 105)/20 105 - 20*1.0803 = 83.394 top 86% then z = 1.0803 NORMSINV(0.86) 105 + .20*1.0803 = 126.606 126.6 - 83.4 = 43 IQ points separating the bottom 14% from the top 86%. ```
 Probability-and-statistics/445387: A student is successful 73% of the time when making random guesses on a multiple choice exam. For an exam that contains 50 questions, find the mean number of questions answered correctly. A) 31.791 B).39.639 C). 36.5 D). 38.8541 solutions Answer 306821 by ewatrrr(10682)   on 2011-05-05 09:12:17 (Show Source): You can put this solution on YOUR website! ``` Hi A student is successful 73% of the time when making random guesses on a multiple choice exam. For an exam that contains 50 questions... find the mean number of questions answered correctly. mean = np = 50*.73 = 36.5 ```
 Probability-and-statistics/445417: Consider the sample 2,4,7,8,9. Find the following: a. Range b. Variance s 2, using formula (2.6) c. Standard deviation, s 2 1 solutions Answer 306815 by ewatrrr(10682)   on 2011-05-05 08:44:59 (Show Source): You can put this solution on YOUR website! ``` Hi a. Range = 9-1 = 7 b. Variance = = = 8.5 c. Standard deviation = x m diff diff^2 2 6 -4 16 4 6 -2 4 7 6 1 1 8 6 2 4 9 6 3 9 30 34 ```
 Probability-and-statistics/445427: If a couple plans to have 9 children, what is the probability one will be at least one girl?1 solutions Answer 306814 by ewatrrr(10682)   on 2011-05-05 08:21:45 (Show Source): You can put this solution on YOUR website! ``` Hi If a couple plans to have 9 children P(at least one girl) = 1 - P(no girls) = = .998 ```
 Systems-of-equations/445422: Solve for y in the following system of equations. -2x - 2y = -12 2x - 2y = 28 1 solutions Answer 306812 by ewatrrr(10682)   on 2011-05-05 08:19:33 (Show Source): You can put this solution on YOUR website! ``` Hi Solving for y in the following system of equations. -2x - 2y = -12 2x - 2y = 28 - 4y = 16 y = CHECKING our Answer*** note: x = 10 x = (-12+2y)/-2 2x - 2y = 28 20 + -2*-4 = 28 ```
 Probability-and-statistics/445402: Please help me with this homework problem. The previous answer (.1057) was incorrect. Suppose the life of a certain brand of vacuum cleaner is normally distributed with a mean life of 12 years and a standard deviation of 4 years. A vacuum cleaner is randomly chosen. 7. Find the probability that it will last less than 10 years (4 digits after decimal point).1 solutions Answer 306808 by ewatrrr(10682)   on 2011-05-05 07:33:25 (Show Source): You can put this solution on YOUR website! ``` Hi z = (-12)/4 = .5 P(z< .5) = .3085 ```
 Surface-area/445407: This is calculus Find the area bounded by the curves y=x, y=1, x=2 and y=0. Thanks!1 solutions Answer 306807 by ewatrrr(10682)   on 2011-05-05 06:50:09 (Show Source): You can put this solution on YOUR website! ``` Hi Find the area bounded by the curves y=x, y=1, x=2 and y=0. Area(trapezoid) = ```
 Expressions-with-variables/445082: what is the solutions of these systems if any? 1) x+7y=62 and -x+2y=10 2) 3x+4y=12 and -3x+y=33 3)4x-8y=1 and 4x-8y=21 solutions Answer 306690 by ewatrrr(10682)   on 2011-05-04 17:05:29 (Show Source): You can put this solution on YOUR website!``` Hi 1) x+7y=62 and -x+2y=10 9y = 72, y = 8 and x = 6, (6,7) the solution 2) 3x+4y=12 and -3x+ y=33 5y = 45, y = 9 and x = -8 (12-4*9)/3 ) (-8,9) the solution 3)4x-8y=1 and 4x-8y=2 4x-8y= 1 -4x+8y= -2 |Multiplying 2nd Eq thru by -1 0 ≠ -1 there is NO solution ```