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 Probability-and-statistics/490296: can you please help me? show all work, a disk jockey has 9 songs to play. 5 are slow, and 4 are fast. each song is to be played only once. in how many ways can the disc jockey play the 9 songs if: -the songs can be played in any order - the first two songs must be fast 1 solutions Answer 333972 by stanbon(57962)   on 2011-09-02 13:25:06 (Show Source): You can put this solution on YOUR website!a disk jockey has 9 songs to play. 5 are slow, and 4 are fast. each song is to be played only once. ------------------------------ In how many ways can the disc jockey play the 9 songs if: -the songs can be played in any order Ans: 9! = 362,880 ways =================================== - the first two songs must be fast 4C2 = 6 ways to select 2 fast songs 2 ways to order the 2 fast songs selected 7! ways to arrange the remaining 7 songs Ans: 6*2*7! = 60,480 ways =================================== Cheers, Stan H.
 Probability-and-statistics/490245: I was asked to create a research question from which you will formulate a research hypothesis that will test two or more populations. This is what I came up with: H0: the mean # of houses with 5 br & 2 baths=the mean # of houses with 5 br and more than 2 baths ( My data:2 baths Mean=231.26667 Median=236.4 Mode=209.7,236.4,247.7) H1: the mean # of houses with 5 br & 2 baths ≠ the mean # of houses with 5 br and more than 2 baths (My data: More than 2 baths Mean= 233.3 Median= (207.5+269.2)/2 = 238.35 Mode= 186.7,188.3,207.5,269.2,269.9,278.2) Am I correct? Another question. I also have to perform the 5 step hypothesis test on this data. How do I do that? 1 solutions Answer 333958 by stanbon(57962)   on 2011-09-02 11:30:49 (Show Source): You can put this solution on YOUR website!To compare the populations means you need a sample mean, standard deviation, and sample size from each population. ------------------- Please use Google to see examples; search "hypothesis testing two means" ================ Cheers, Stan H.
 decimal-numbers/490250: solve for M..... 7.8-3.4M =10.1 1 solutions Answer 333954 by stanbon(57962)   on 2011-09-02 11:01:57 (Show Source): You can put this solution on YOUR website!7.8-3.4M =10.1 ------------ Multiply thru by 10 to get: 78 - 34M = 101 --- 34M = 78-101 34M = -23 M = -23/34 = -0.6765 ================= Cheers, Stan H.
 Linear-equations/490248: Solve the problem. Please show all of your work. A college has a stairway in the business wing that has steps that are 8 inches high and 9.2 inches across. What is the slope of the stairs?1 solutions Answer 333953 by stanbon(57962)   on 2011-09-02 10:58:19 (Show Source): You can put this solution on YOUR website!A college has a stairway in the business wing that has steps that are 8 inches high and 9.2 inches across. What is the slope of the stairs? ---- slope = rise/run = 8/9.2 = 0.8696 ================================= Cheers, Stan H.
 Rational-functions/490215: x^1/2 + 3x^1/4 - 10=01 solutions Answer 333942 by stanbon(57962)   on 2011-09-02 09:43:58 (Show Source): You can put this solution on YOUR website!x^1/2 + 3x^1/4 - 10=0 --- Quadratic form with w = x^(1/4) --- w^2 + 3w - 10 = 0 Factor: (w+5)(w-2) = 0 w = 2 or w = -5 --- Solve for "x": w = x^(1/4) = 2 or w = x^(1/4) = (-5) w = 2^4 or w = (-5)^4 w = 16 or w = 625 ====================== Cheers, Stan H. ======================
 Inequalities/490220: Hi, Please help me with this Algebra problem. Thank you in advance. Solve using the multiplication principle. Also don't forget to check. a/4=131 solutions Answer 333941 by stanbon(57962)   on 2011-09-02 09:37:51 (Show Source): You can put this solution on YOUR website!a/4=13 --- Multiply both sides by 4 to get: a = 4*13 a = 52 ---- Check: a/4 = 13 52/4 = 13 13 = 13 ============ Cheers, Stan H. ============
 Inequalities/490222: Hi, will you please help me with this Algebra problem? If you can Thank you in advance. Please Solve using the Addition and Multiplication principles. 2>9- x/51 solutions Answer 333939 by stanbon(57962)   on 2011-09-02 09:35:43 (Show Source): You can put this solution on YOUR website!2>9- x/5 --- Multiply thru by 5 to get 10 > 45 - x --- x+10 > 45 x > 35 =========== Cheers, Stan H.
 Money_Word_Problems/490231: i get paid \$10.00 a hr. and i worked 7.5 hrs. for 10 days,how much should i gross 1 solutions Answer 333937 by stanbon(57962)   on 2011-09-02 09:32:35 (Show Source): You can put this solution on YOUR website!i get paid \$10.00 a hr. and i worked 7.5 hrs. for 10 days,how much should i gross --- gross pay = 10*10*7.5 = 100*7.5 = \$750.00 ======= Cheers, Stan H.
 Age_Word_Problems/490224: 2 years from now, i shall be twice as old as i was 5 years ago said the young girl ... who can tell me her current age pray tell? 1 solutions Answer 333936 by stanbon(57962)   on 2011-09-02 09:30:30 (Show Source): You can put this solution on YOUR website!2 years from now, i shall be twice as old as i was 5 years ago said the young girl ---------- Let her age now be "x": Equation: (x+2) = 2(x-5) x+2 = 2x-10 x = 12 (her age now) ====================== Cheers, Stan H.
 Inequalities/490228: Please help me with this Algebra problem. Thank you in advance. 2x^3+x^2-6(x^2+7x^3)1 solutions Answer 333935 by stanbon(57962)   on 2011-09-02 09:28:13 (Show Source): You can put this solution on YOUR website!2x^3+x^2-6(x^2+7x^3) ---- 2x^3 + x^2 -6x^2 -42x^3 ---- = -40x^3 -5x^2 =================== Cheers, Stan H.
 Quadratic_Equations/490229: solve for x 5x^2=-14x-8 Do I have to subtract 5x^2 from both sides giving me 0=-5x^2-14x-8? Then what do I do?1 solutions Answer 333932 by stanbon(57962)   on 2011-09-02 09:26:11 (Show Source): You can put this solution on YOUR website!5x^2=-14x-8 --- 5x^2+14x+8 = 0 Factor: 5x^2+10x+4x+8 = 0 5x(x+2)+4(x+2) = 0 (x+2)(5x+4) = 0 --- x = -2 or x = -4/5 ====================== Cheers, Stan H. ===================
 Quadratic_Equations/490126: I am having trouble solving the following: Please help me understand Height , h metres of a model rocket above ground, t = seconds after launching is given by the equation h=4t(50-t). Sketch the graph show the co-ordinates of all intercepts and turning point. I need to find the greatest height the rocket reaches, after how long does the rocket reach its greatest height and how long does the rockets flight last. I have not come across a quadratic equation in this form before and it is confusing me. Any help you can give me would be most appreciated. Thank you. 1 solutions Answer 333868 by stanbon(57962)   on 2011-09-01 22:32:15 (Show Source): You can put this solution on YOUR website!Height , h metres of a model rocket above ground, t = seconds after launching is given by the equation h(t) = 4t(50-t). Sketch the graph show the co-ordinates of all intercepts and turning point. h(t) = -4t^2+200t ---- Vertical intercept: (0,0) Horizontal intercept: (0,0)(50,0) -------------------------------------------------------- I need to find the greatest height the rocket reaches, after how long does the rocket reach its greatest height and how long does the rockets flight last. --- Max occurs when t = -b/(2a) = -200/(2*-4) = 25 seconds ---- Max height: h(25) = 4*25(25) = 2500 ft ---- length of flight: 50 seconds ------- Cheers, Stan H. ==================
 Equations/490130: Two less than 2 times a number is 64 plus the same number. What is 3 times the number?1 solutions Answer 333865 by stanbon(57962)   on 2011-09-01 22:19:04 (Show Source): You can put this solution on YOUR website!Two less than 2 times a number is 64 plus the same number. --- 2x-2 = 64+x x = 66 ---- What is 3 times the number? 3*66 = 198 =============== Cheers, Stan H.
 Linear-systems/490128: hi i want to know if you can please give me the step by step answear to this equation ive tried so many ways and i keep getting different answears [(-4+8)-(-2-3)^2]+[(-11+8-6)^2]1 solutions Answer 333864 by stanbon(57962)   on 2011-09-01 22:14:23 (Show Source): You can put this solution on YOUR website![(-4+8)-(-2-3)^2]+[(-11+8-6)^2] --------------- = [(4)-(-5)^2]+[(-9)^2] ---------------- = [4 - 25]+[81] -------------------------- = [-21] + [81] ------ = 60 ========== Cheers, Stan H.
 Linear_Equations_And_Systems_Word_Problems/490125: The sum of two numbers is 4 less than twice the larger. If the larger is decreased by three times the smaller, the result is -20. Find the numbers.1 solutions Answer 333863 by stanbon(57962)   on 2011-09-01 22:09:25 (Show Source): You can put this solution on YOUR website!The sum of two numbers is 4 less than twice the larger. If the larger is decreased by three times the smaller, the result is -20. Find the numbers. ----- Equations: x + y = 2x-4 x -3y = -20 ----- Rearrange: x - y = 4 x -3y =-20 -------------------- Subtract and solve for "y": 2y = 24 y = 12 --- Solve for "x": x - y = 4 x -12 = 4 x = 16 ================ Cheers, Stan H.
 Trigonometry-basics/490085: seven more than four times a number is the same as five less than eight times the number. what is the number?1 solutions Answer 333860 by stanbon(57962)   on 2011-09-01 21:29:17 (Show Source): You can put this solution on YOUR website! seven more than four times a number is the same as five less than eight times the number. what is the number? ------ Equation: 4x+7 = 8x-5 4x = 12 x = 3 ========== Cheers, Stan H. ==========
 Trigonometry-basics/490082: a 15-cm piece of wood is cut into two pieces. one piece is 7cm longer than the other. how long are the pieces?1 solutions Answer 333859 by stanbon(57962)   on 2011-09-01 21:24:05 (Show Source): You can put this solution on YOUR website!a 15-cm piece of wood is cut into two pieces. one piece is 7cm longer than the other. how long are the pieces? ------------ 1st piece: x 2nd piece: x+7 --- Equation: x + x+7 = 15 2x = 8 x = 4 ---- x+7 = 11 ================ Cheers, Stan H.
 Mixture_Word_Problems/490075: a parmasists wishes to mix a solution that is 7% minoxidil. she has on hand 80 ml of a 4% solution and wishes to add some 9% solution to obtain the desired 7% solution. how much 9% solution should she add?1 solutions Answer 333856 by stanbon(57962)   on 2011-09-01 21:17:38 (Show Source): You can put this solution on YOUR website!a pharmasist wishes to mix a solution that is 7% minoxidil. she has on hand 80 ml of a 4% solution and wishes to add some 9% solution to obtain the desired 7% solution. how much 9% solution should she add? ------ Equation: mino + mino = mino 0.04*80 + 0.09x = 0.07(80+x) ---- Multiply thru by 100 to get: 4*80 + 9x = 7*80 + 7x ---- 2x = 3*80 x = 120 ml (amt of 9% solution needed) ============================================ Cheers, Stan H. ===================
 Average/490076: what is the average of these numbers: 85 60 95 78 70 85 69 100 88 60 701 solutions Answer 333854 by stanbon(57962)   on 2011-09-01 21:09:22 (Show Source): You can put this solution on YOUR website!what is the average of these numbers: 85 60 95 78 70 85 69 100 88 60 70 --- Add up the numbers and divide by 11. Cheers, Stan H.
 real-numbers/490071: What are all the real irrational numbers? im doing a project based on real numbers for math. Thanks1 solutions Answer 333852 by stanbon(57962)   on 2011-09-01 21:07:59 (Show Source): You can put this solution on YOUR website!The set of Real Numbers is made up of the set of Rational Numbers and the set of Irrational Numbers. --- Use Google to get all the info on these number sets you would ever want to know. ---------- Cheers, Stan H.
 Human-and-algebraic-language/490068: Ming sold a total of 36 red and blue ribbons. She sold 6 more red ribbons than blue ribbons. How many of each color did she sell? We need to know how to put this into an equation. Thank you very much for your time. Tanya1 solutions Answer 333850 by stanbon(57962)   on 2011-09-01 21:03:03 (Show Source): You can put this solution on YOUR website!Ming sold a total of 36 red and blue ribbons. She sold 6 more red ribbons than blue ribbons. How many of each color did she sell? --- Quantity Equation: r + b = 36 Quantity Equation: r = b + 6 --------------------------------- If you want a one-variable equation: (b+6)+b = 36 ======================================= Cheers, Stan H.
 Probability-and-statistics/490060: suppose you roll two dice find the probability of not rolling 101 solutions Answer 333848 by stanbon(57962)   on 2011-09-01 20:58:36 (Show Source): You can put this solution on YOUR website!suppose you roll two dice find the probability of not rolling 10 --- 10 combo's: 4/6;5/5;6/4 ---- P(sum of 10) = 3/36 = 1/12 ============================== Cheers, Stan H. ============
 Linear_Equations_And_Systems_Word_Problems/490029: Cruz decides that he would like to purchase some CD's. He knows that a new CD cost \$15 and a used CD cost \$8. If he bought 4 times as many used CD's as he did new CD's and used and spent a total of \$153, what are the equations?1 solutions Answer 333840 by stanbon(57962)   on 2011-09-01 20:19:00 (Show Source): You can put this solution on YOUR website!He knows that a new CD cost \$15 and a used CD cost \$8. If he bought 4 times as many used CD's as he did new CD's and used and spent a total of \$153, what are the equations? -------------------- Equations: Quantity Eq: used = 4*new Value Eq::: 15new+8used = 153 dollars ------- Cheers, Stan H.
 Travel_Word_Problems/490026: An old bus and a new bus left the same station heading in the same direction at 5:00 am. The old bus was traveling at 40 miles per hour, and the new bus was traveling at 50 miles per hour. If the busses keep going at those rates without stopping, how far apart will they be at 10:00 am?1 solutions Answer 333839 by stanbon(57962)   on 2011-09-01 20:10:50 (Show Source): You can put this solution on YOUR website!An old bus and a new bus left the same station heading in the same direction at 5:00 am. The old bus was traveling at 40 miles per hour, and the new bus was traveling at 50 miles per hour. If the busses keep going at those rates without stopping, how far apart will they be at 10:00 am? --------------- Old bus distance: dist = rate*time d = 40*5 = 200 miles --------------------- New bus distance: dist = rate*time d = 50*5 = 250 miles --------------------- Distance apart at 10AM: 250-200 = 50 miles ============================= Cheers, Stan H.
 Rectangles/490020: A contractor needs to cut a piece of glass to fit a square window. the area of the window is 12ft2. Find the length of the side of the window to the nearest tenth of a foot.1 solutions Answer 333837 by stanbon(57962)   on 2011-09-01 20:05:23 (Show Source): You can put this solution on YOUR website!A contractor needs to cut a piece of glass to fit a square window. the area of the window is 12ft2. Find the length of the side of the window to the nearest tenth of a foot. ---- Ans: 12 ft. ------------- Cheers, Stan H.
 Linear-equations/490022: Find the zero of f(x) for f(x)=32+1.6x1 solutions Answer 333835 by stanbon(57962)   on 2011-09-01 20:01:31 (Show Source): You can put this solution on YOUR website!Find the zero of f(x) for f(x)=32+1.6x --- Solve 32+1.6x = 0 1.6x = -32 x = -20s, ================== Cheers Stan H. ===========
 Expressions-with-variables/490019: Can you please help me solve this equation its simple algebra 1 ok so the problem is 4(y+1)=40 also please explain how you got it so I'll know for future reference how to solve problems like this thank you.1 solutions Answer 333834 by stanbon(57962)   on 2011-09-01 19:59:18 (Show Source): You can put this solution on YOUR website!4(y+1)=40 --- Divide both sides by 4 to get: y+1 = 10 ---- Subtract 1 from both sides to get: y = 9 =========== Cheers, Stan H.
 Average/490014: The yearly changes in the population of a city for three consecutive years are respectively, 20% increase, 30% increase, and 20% decrease. What is the total percent change from the beginning to the end of the third year?1 solutions Answer 333833 by stanbon(57962)   on 2011-09-01 19:56:43 (Show Source): You can put this solution on YOUR website!duplicate
 Percentage-and-ratio-word-problems/490007: The yearly changes in the population of a city for three consecutive years are, respectively, 20% increase, 30% increase, and 20% decrease. What is the total percent change from beginning to the end of the third year?1 solutions Answer 333831 by stanbon(57962)   on 2011-09-01 19:52:15 (Show Source): You can put this solution on YOUR website!The yearly changes in the population of a city for three consecutive years are, respectively, 20% increase, 30% increase, and 20% decrease. What is the total percent change from beginning to the end of the third year? --- Start: x End of 1st: 1.2x End of 2nd: 1.3(1.2x) End of 3rd: 0.8[1.3(1.2x)] = 1.248x --- Total change is an increase of 24.8% ================================== Cheers, Stan H. ===================
 Sequences-and-series/489968: I'm a high school student in Algebra 2. I have a couple questions, 1. what are the formulas to find the nth term of an arithmetic and geometric sequence? here is a problem im having trouble with.. write a formula for the nth term of an arithmetic sequence, then a25. d=2 a12=18 an=_____ a25=_____ I'm not really confident on how to find the answer :( Another question I have is how to find the sum.. ex. find the sum of the first n terms when n=20. arithmetic series: 40+37++34+31+.... then im supposed to find n for Sn=195, how do i do that?? thanks for the help!1 solutions Answer 333828 by stanbon(57962)   on 2011-09-01 19:35:57 (Show Source): You can put this solution on YOUR website!1. what are the formulas to find the nth term of an arithmetic and geometric sequence? here is a problem im having trouble with.. write a formula for the nth term of an arithmetic sequence a(n) , then a25. when d=2 and a(12) = 18 Ans: an=a(1)+(n-1)d ---- Since a(12) = a(1)+11*2 = 18 a(1) = 18 - 22 = -4 -------------------------- Ans: a25= a(1)+24d a(25) = -4+24*2 a(25) = 44 =================== Another question I have is how to find the sum.. ex. find the sum of the first n terms when n=20. arithmetic series: 40+37+34+31+.... -- S(n) = (n/2)[(a(1)+a(n)] a(1) = 40 d = -3 a(n) = a(20) = 40+(19)*-3 = -17 ---- S(20) = (20/2)[40-17] = 10[23] = 230 ======================================== then im supposed to find n for S(n)=195, how do i do that?? a(n) = 40 + (n-1)(-3) = 40-3n+3 = 43-3n Solve: (n/2)(40 + 43-3n) = 195 (n/2)(83-3n) = 195 n(83-3n) = 390 -3n^2 + 82n - 390 = 0 --- Solve for "n": Use the quadratic formula to get the whole number answer. Ans: n = 6 ================== Cheers, Stan H. ===============
 Linear-equations/489952: d+7+2(d+7)+3d+d+1=182 i was tryin to help my niece with her work but its been awhile since i took algebra so yea... the question goes like this. five friends have 182 dvds.. dan has the fewest. donna has 7 more than dan betty has twice as many as donna jerry has 3 times as many dan and kenesha has 6 less than donna..1 solutions Answer 333820 by stanbon(57962)   on 2011-09-01 18:55:10 (Show Source): You can put this solution on YOUR website!d+7+2(d+7)+3d+d+1=182 i was tryin to help my niece with her work but its been awhile since i took algebra so yea... the question goes like this. ----------------------------------------- five friends have 182 dvds.. dan has the fewest. donna has 7 more than dan betty has twice as many as donna jerry has 3 times as many dan and kenesha has 6 less than donna.. -------- Equations: da + do + be + je + ke = 182 do = da + 7 be = 2*do je = 3*da ke = do-6 ====================== Substitute to get: do-7 + do + (2do) + 3(do-7) + (do-6) = 182 --- 8do -7-21-6 = 182 8do - 34 = 182 donna = 27 ----- dan = do-7 = 20 betty = 2do = 54 jerry = 3*20 = 60 kenesha = do-6 = 21 ========================== Cheers, Stan H. ==========================