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Recent problems solved by 'stanbon'

stanbon answered: 57264 problems
Jump to solutions: 0..29 , 30..59 , 60..89 , 90..119 , 120..149 , 150..179 , 180..209 , 210..239 , 240..269 , 270..299 , 300..329 , 330..359 , 360..389 , 390..419 , 420..449 , 450..479 , 480..509 , 510..539 , 540..569 , 570..599 , 600..629 , 630..659 , 660..689 , 690..719 , 720..749 , 750..779 , 780..809 , 810..839 , 840..869 , 870..899 , 900..929 , 930..959 , 960..989 , 990..1019 , 1020..1049 , 1050..1079 , 1080..1109 , 1110..1139 , 1140..1169 , 1170..1199 , 1200..1229 , 1230..1259 , 1260..1289 , 1290..1319 , 1320..1349 , 1350..1379 , 1380..1409 , 1410..1439 , 1440..1469 , 1470..1499 , 1500..1529 , 1530..1559 , 1560..1589 , 1590..1619 , 1620..1649 , 1650..1679 , 1680..1709 , 1710..1739 , 1740..1769 , 1770..1799 , 1800..1829 , 1830..1859 , 1860..1889 , 1890..1919 , 1920..1949 , 1950..1979 , 1980..2009 , 2010..2039 , 2040..2069 , 2070..2099 , 2100..2129 , 2130..2159 , 2160..2189 , 2190..2219 , 2220..2249 , 2250..2279 , 2280..2309 , 2310..2339 , 2340..2369 , 2370..2399 , 2400..2429 , 2430..2459 , 2460..2489 , 2490..2519 , 2520..2549 , 2550..2579 , 2580..2609 , 2610..2639 , 2640..2669 , 2670..2699 , 2700..2729 , 2730..2759 , 2760..2789 , 2790..2819 , 2820..2849 , 2850..2879 , 2880..2909 , 2910..2939 , 2940..2969 , 2970..2999 , 3000..3029 , 3030..3059 , 3060..3089 , 3090..3119 , 3120..3149 , 3150..3179 , 3180..3209 , 3210..3239 , 3240..3269 , 3270..3299 , 3300..3329 , 3330..3359 , 3360..3389 , 3390..3419 , 3420..3449 , 3450..3479 , 3480..3509 , 3510..3539 , 3540..3569 , 3570..3599 , 3600..3629 , 3630..3659 , 3660..3689 , 3690..3719 , 3720..3749 , 3750..3779 , 3780..3809 , 3810..3839 , 3840..3869 , 3870..3899 , 3900..3929 , 3930..3959 , 3960..3989 , 3990..4019 , 4020..4049 , 4050..4079 , 4080..4109 , 4110..4139 , 4140..4169 , 4170..4199 , 4200..4229 , 4230..4259 , 4260..4289 , 4290..4319 , 4320..4349 , 4350..4379 , 4380..4409 , 4410..4439 , 4440..4469 , 4470..4499 , 4500..4529 , 4530..4559 , 4560..4589 , 4590..4619 , 4620..4649 , 4650..4679 , 4680..4709 , 4710..4739 , 4740..4769 , 4770..4799 , 4800..4829 , 4830..4859 , 4860..4889 , 4890..4919 , 4920..4949 , 4950..4979 , 4980..5009 , 5010..5039 , 5040..5069 , 5070..5099 , 5100..5129 , 5130..5159 , 5160..5189 , 5190..5219 , 5220..5249 , 5250..5279 , 5280..5309 , 5310..5339 , 5340..5369 , 5370..5399 , 5400..5429 , 5430..5459 , 5460..5489 , 5490..5519 , 5520..5549 , 5550..5579 , 5580..5609 , 5610..5639 , 5640..5669 , 5670..5699 , 5700..5729 , 5730..5759 , 5760..5789 , 5790..5819 , 5820..5849 , 5850..5879 , 5880..5909 , 5910..5939 , 5940..5969 , 5970..5999 , 6000..6029 , 6030..6059 , 6060..6089 , 6090..6119 , 6120..6149 , 6150..6179 , 6180..6209 , 6210..6239 , 6240..6269 , 6270..6299 , 6300..6329 , 6330..6359 , 6360..6389 , 6390..6419 , 6420..6449 , 6450..6479 , 6480..6509 , 6510..6539 , 6540..6569 , 6570..6599 , 6600..6629 , 6630..6659 , 6660..6689 , 6690..6719 , 6720..6749 , 6750..6779 , 6780..6809 , 6810..6839 , 6840..6869 , 6870..6899 , 6900..6929 , 6930..6959 , 6960..6989 , 6990..7019 , 7020..7049 , 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56970..56999 , 57000..57029 , 57030..57059 , 57060..57089 , 57090..57119 , 57120..57149 , 57150..57179 , 57180..57209 , 57210..57239 , 57240..57269, >>Next

Triangles/300684: the area of a right triangular rug is 12 squar feet. the length of the rug is 2 feet more then the width of the rug. what is the width od the right triangular rug? 1 solutions Answer 215696 by stanbon(57337)   on 2010-05-04 22:06:48 (Show Source): You can put this solution on YOUR website! The area of a right triangular rug is 12 square feet. the length of the rug is 2 feet more then the width of the rug. what is the width of the right triangular rug? --- Let the width be "x". Then the length is "x+2". --- Equation: Area = (1/2)*width*length --- 12 = (1/2)x(x+2) 24 = x^2 + 2x x^2 + 2x - 24 = 0 Factor: (x+6)(x-4) = 0 Positive solution: x = 4 ft. (width) x+2 = 6 ft. (length) ========================= Cheers, Stan H. =========================

Probability-and-statistics/300632: If a single fair coin (head/tail) is tossed, find the probability it will l and heads up. Also is this empirical or theoretical probability. 1 solutions Answer 215694 by stanbon(57337)   on 2010-05-04 22:00:25 (Show Source): You can put this solution on YOUR website! Essential words/numbers are missing from your post. Cheers, Stan H.

Linear_Equations_And_Systems_Word_Problems/300669: As a business owner I have to make many decisions on a daily basis to ensure that my company reaches the highest production levels possible with my products. Starting today my company has 34 hours and $350 available per day to produce my Model A and B type bicycles and before they start I need to know how many of each model can be made in a day in production. • Model A takes 2 hours to assemble and cost $25 per bike to make • Model B takes 3 hours to assemble and cost $30 per bike to make (Solve the equations for the different bicycle models that can be made daily with the desired technique learned (graphing, substitution, elimination, and matrix). Explain how to check your solution for both equations). I have been stuck on this for 2 days, I am so lost. 1 solutions Answer 215689 by stanbon(57337)   on 2010-05-04 21:52:33 (Show Source): You can put this solution on YOUR website! Starting today my company has 34 hours and $350 available per day to produce my Model A and B type bicycles and before they start I need to know how many of each model can be made in a day in production. • Model A takes 2 hours to assemble and cost $25 per bike to make • Model B takes 3 hours to assemble and cost $30 per bike to make --- Equation: Assembly time Eq:: 2A + 3B = 34 Value Equation:: 25A +30B = 350 (Solve the equations for the different bicycle models that can be made daily with the desired technique learned (graphing, substitution, elimination, and matrix). --- Modify the 1st equation to set it up for elimination of the "B" terms: 20A + 30B = 340 --- Substract that from the Value Equation and solve for "A"; 5A = 10 A = 2 (# of Model A bikes to make) --- Solve for "B": 2(2) + 3B = 34 3B = 30 B = 10 (# of Model B bikes to make) ============================================ Explain how to check your solution for both equations). Check your A,B numbers in the time and Value equations. ========================================================== Cheers, Stan H.

Probability-and-statistics/300667: there are 7 girls in a class and 3 boys. two students are to be chosen for a special porject. What is the probability both students will be girls? 1 solutions Answer 215682 by stanbon(57337)   on 2010-05-04 21:34:05 (Show Source): You can put this solution on YOUR website! there are 7 girls in a class and 3 boys. two students are to be chosen for a special porject. What is the probability both students will be girls? --- Ans: 7C2/10C2 = 21/45 = 7/15 --------------------------- Cheers, Stan H. -----------------------

Evaluation_Word_Problems/300656: I need to write a system of 2 equations in 2 unknowns for the problem. At Gwen's garage sale all books were one price, and all magazines were another price. Harriet bouth 4 books and 3 magazines for $1.45, and June bought 2 books and 5 magazines for $1.25. What was the price of a book and what was the price of a magazine? 1 solutions Answer 215679 by stanbon(57337)   on 2010-05-04 21:15:33 (Show Source): You can put this solution on YOUR website! write a system of 2 equations in 2 unknowns for the problem. At Gwen's garage sale all books were one price, and all magazines were another price. ---------------------- Harriet bought 4 books and 3 magazines for $1.45, June bought 2 books and 5 magazines for $1.25. ---------------------- What was the price of a book and what was the price of a magazine? --- Equations: 4b + 3m = 145 cents 2b + 5m = 125 cents ====================== Cheers, Stan H.

test/300642: Please help me answer this. The problem asks "Find the difference quotient and simplify your answer." f(x)= x^3 + x, f(x+h)-f(x)/h, h=0 1 solutions Answer 215677 by stanbon(57337)   on 2010-05-04 21:11:38 (Show Source): You can put this solution on YOUR website! "Find the difference quotient and simplify your answer." f(x)= x^3 + x, [f(x+h)-f(x)]/h ------- f(x+h)= (x+h)^3+x f(x+h)= x^3+3x^2h+3xh^2+h^3 + (x+h) f(x) = x^3 + x ----- Subtract f(x) from f(x+h) to get: f(x+h)-f(x) = 3x^2h + 3xh^2 + h^3 + h ----- Divide by "h": [f(x+h)-f(x)]/h = 3x^2 + 3xh + h^2 + 1 ============================================ Cheers, Stan H. ==================

Polynomials-and-rational-expressions/300636: i am haveing trouble factoring this. can you please help me? 1 solutions Answer 215673 by stanbon(57337)   on 2010-05-04 20:59:39 (Show Source): You can put this solution on YOUR website! trouble factoring this. can you please help me? 21x^5-24x^2-6x^4 --- Rearrange: 21x^5-6x^4-24x^2 --- = 3x^2(7x^3 - 2x^2 - 8) =============== The quadratic does not factor neatly. =============== Cheers, Stan H.

Inequalities/300638: How would you write an inequality for a problem that says: In the triangle below what values of "m" in centimeters allows the perimeter of the triangle to be less than 100 cm.? The three sides of the triangle are: " (m+15)cm. " " (2m-5)cm. " " (3m+6)cm. " 1 solutions Answer 215672 by stanbon(57337)   on 2010-05-04 20:50:06 (Show Source): You can put this solution on YOUR website! write an inequality for a problem that says: In the triangle below what values of "m" in centimeters allows the perimeter of the triangle to be less than 100 cm.? The three sides of the triangle are: " (m+15)cm. " " (2m-5)cm. " " (3m+6)cm. " --------------------- sum < 100 --- m+15 + 2x-5 + 3m+6 < 100 ============================= Cheers, Stan H. =============================

logarithm/300365: log625(1/5)=x I get to the point of 625^x=-5 and I am confused. May I please ask for assistance. 1 solutions Answer 215552 by stanbon(57337)   on 2010-05-04 13:06:14 (Show Source): You can put this solution on YOUR website! log625(1/5)=x --- Write the equation in exponential form. ----------- 625^x = (1/5) Write the right side in exponential form. --- 625^x = 5^(-1) ---- Since the base is 5 on the right side, convert the left side to base 5: (5^4)^x = 5^(-1) 5^(4x) = 5^(-1) --- The bases are the same so equate the exponents. --- 4x = -1 x = -1/4 =========== Cheers, Stan H.

logarithm/300316: Use the formula N = Iekt, where N is the number of items in terms of the initial population I, at time t, and k is the growth constant equal to the percent of growth per unit of time. There are currently 63 million cars in a certain country, decreasing by 6.9% annually. How many years will it take for this country to have 33 million cars? Round to the nearest year. 1 solutions Answer 215526 by stanbon(57337)   on 2010-05-04 10:44:26 (Show Source): You can put this solution on YOUR website! Use the formula N = Iekt, where N is the number of items in terms of the initial population I, at time t, and k is the growth constant equal to the percent of growth per unit of time. There are currently 63 million cars in a certain country, decreasing by 6.9% annually. How many years will it take for this country to have 33 million cars? Round to the nearest year. --------------------------------- N = I*e^(kt) --- Solve for "t" if I = 63 million, N = 33x10^6 and k = -0.069 ----------- 33 = 63*e^(-0.069t) --- e^(-0.069t) = 11/21 --- Take the natural log of both sides to get: -0.069t = ln(11/21) t = 9.37 years ======================= Cheers, Stan H. =======================

Functions/300310: Does the equation y equals the square root of x plus 33[y=(x+33)^(1/2)] define y as a function of x? What are the steps to solving this problem? 1 solutions Answer 215523 by stanbon(57337)   on 2010-05-04 10:37:30 (Show Source): You can put this solution on YOUR website! [y=(x+33)^(1/2)] define y as a function of x? What are the steps to solving this problem? ----- Since is has two variables, you cannot "solve" it. You can find ordered pairs by substitutiing vales for x and solving for "y": ============================== Cheers, Stan H.

Probability-and-statistics/300280: ``For a fair game, what should be the charge to play if there is a .002 probability to win $1,000, .008 probability to win $100, and .99 probability of not winning anything? I am very pressed for time I have to hand in my assignment today at 2pm can someone please help me out? i really appreciate it.''. 1 solutions Answer 215521 by stanbon(57337)   on 2010-05-04 10:26:46 (Show Source): You can put this solution on YOUR website! ``For a fair game, what should be the charge to play if there is a .002 probability to win $1,000, .008 probability to win $100, and .99 probability of not winning anything? ------------ Let "x" be the price to play. Random # values: 1000-x, 100-x, 0-x Probabilities::: 0.002, 0.008, 0.99 -------------------------------------------- Equation: Note: "Even" means E(x) = 0 ----- E(x) = 0.002(1000-x) + 0.008(100-x) + 0.990(-x) ---- E(x) = [2000-2x + 800-8x - 990x]/1000 = 0 --- [2800 - 1000x] = 0 x = $2.80 ---- You should pay $2.80 to play the game. ======================================== Cheers, Stan H.

Rational-functions/300303: Evaluate the expression without using a calculator log9 1/sq root of 9 1 solutions Answer 215515 by stanbon(57337)   on 2010-05-04 10:04:52 (Show Source): You can put this solution on YOUR website! Evaluate the expression without using a calculator log9 1/sq root of 9 ------------------------ log9 (9^(-1/2)) --- = (-1/2)log9 (9) --- = (-1/2)*1 --- = -1/2 ============== Cheers, Stan H. ==============

logarithm/300300: 1. Simplify. log(4) 4^2 2. Express as a product. log(b) t^8 3. Express as a difference of logarithms. log(g) M/4 4. Rewrite as an equivalent exponential equation. Do not solve. log(10) 18=1.2553 1 solutions Answer 215512 by stanbon(57337)   on 2010-05-04 10:02:37 (Show Source): You can put this solution on YOUR website! 1. Simplify. log(4) 4^2 = 2 --------------------- 2. Express as a product. log(b) t^8 = 8*logb(t) --------------------------- 3. Express as a difference of logarithms. log(g) M/4 = logg(M) - logg(4) --------------------------- 4. Rewrite as an equivalent exponential equation. Do not solve. log(10) 18=1.2553 --- 10^1.2553 = 18 ================== Cheers, Stan H. ==================

Problems-with-consecutive-odd-even-integers/300275: x2 + 20x + 100 Factor completely. 1 solutions Answer 215496 by stanbon(57337)   on 2010-05-04 09:02:33 (Show Source): You can put this solution on YOUR website! x^2 + 20x + 100 Factor completely. ----------------- (x+10)^2 ==================== Cheers, Stan H.

Linear-equations/300284: I need to know how to solve y= -2x-5 and y= 4x-1 I am very confused on how to solve the problems I also need to categorize them. Thank you! 1 solutions Answer 215495 by stanbon(57337)   on 2010-05-04 09:00:59 (Show Source): You can put this solution on YOUR website! I need to know how to solve y= -2x-5 and y= 4x-1 ---- Solve: -2x-5 = 4x-1 6x = -4 x = -2/3 --- Since y = 4x-1 y = 4(-2/3)-1 y = -8/3 - 3/3 y = -11/3 ------------------- Categorize? The system is "consistent". ------------------- Cheers, Stan H.

Distributive-associative-commutative-properties/300282: 3x^2-11x=20 1 solutions Answer 215494 by stanbon(57337)   on 2010-05-04 08:57:28 (Show Source): You can put this solution on YOUR website! 3x^2-11x=20 --- 3x^2-11x-20 = 0 --- Factor: 3x^2-15x+4x-20 = 0 --- 3x(x-5)+4(x-5) = 0 (x-5)(3x+4) = 0 x = 5 or x = -4/3 ====================== cheers, Stan H.

Probability-and-statistics/300279: how many ways can the 5 starting positions on a basketball team be filled 8 men who can play any of the positions? 1 solutions Answer 215493 by stanbon(57337)   on 2010-05-04 08:55:13 (Show Source): You can put this solution on YOUR website! how many ways can the 5 starting positions on a basketball team be filled 8 men who can play any of the positions? ---- 8C5 = 8C3 = (8*7*6)/(1*2*3) = 56 =========== Cheers, Stan H. ===========

Inequalities/300283: how do you graph 8xy = 7 1 solutions Answer 215492 by stanbon(57337)   on 2010-05-04 08:51:51 (Show Source): You can put this solution on YOUR website! how do you graph 8xy = 7 --------------- Solve for "y": --- y = 7/(8x) --- =============== Cheers, Stan H.

Probability-and-statistics/300281: ``At a college, 6 out of 8 students are sophomores. If 9 students are surveyed, find a) the mean b) the variance c)the standard deviation d) the probability that exactly 3 of the 9 are sophomores e) the probability that at most 3 are sophomores f) the probability that at least 5 are sophomores? I am very pressed for time I have to hand in my assignment today at 2pm can someone please help me out? i really appreciate it.''. 1 solutions Answer 215490 by stanbon(57337)   on 2010-05-04 08:49:46 (Show Source): You can put this solution on YOUR website! At a college, 6 out of 8 students are sophomores. P(soph) = 6/8 = 3/4 -------------------------------------- If 9 students are surveyed, find a) the mean = np = 9(3/4) = 27/4 ---------------------------- b) the variance = npq = (27/4)(1/4) = 27/16 ----------------------------- c)the standard deviation = sqrt(npq) = (3/4)sqrt(3) ---------------------------------------- d) the probability that exactly 3 of the 9 are sophomores binompdf(9,3/4,3) = 0.0087 --------------------- e) the probability that at most 3 are sophomores binomcdf(9,3/4,3) = 0.0100 --------------------- f) the probability that at least 5 are sophomores? 1 - binomcdf(9,3/4,4) = 0.9511 =============== Cheers, Stan H.

Probability-and-statistics/300186: The unemployment rate in a city is 12%. Find the probability that more than 2 out of 8 people from this city sampled at random are unemployed. Round your answer to four decimal places. 1 solutions Answer 215460 by stanbon(57337)   on 2010-05-03 23:05:37 (Show Source): You can put this solution on YOUR website! The unemployment rate in a city is 12%. Find the probability that more than 2 out of 8 people from this city sampled at random are unemployed. Round your answer to four decimal places. --------------------------------- Binomial Problem: n = 8 ; p = 0.12 ; 3<= x <=8 ------------------ Ans: 1 - binomcdf(8,0.12,2) --- = 1 - 0.9392 --- = 0.0608 =============== Cheers, Stan H. ===============

Percentage-and-ratio-word-problems/300188: Could you help me find out how much John has invested? John invests twice as much money at 6% as he does at 5%. If his investments earn a total of $680 in one year. How much does he have invested at each rate? 1 solutions Answer 215459 by stanbon(57337)   on 2010-05-03 22:55:21 (Show Source): You can put this solution on YOUR website! Could you help me find out how much John has invested? John invests twice as much money at 6% as he does at 5%. If his investments earn a total of $680 in one year. How much does he have invested at each rate? ----------------- Let amt invested at 5% be "x". Amt invested at 6% is "2x". ----------------------------- Equation: interest + interest = interest 0.05x + 0.06(2x) = 680 Multiply thru by 100 to get: 5x + 12x = 68000 17x = 68000 x = $4000 (amt. invested at 5%) 2x = 8000 (amt. invested at 6%) ================================= Cheers, Stan H. =================================

Linear-equations/300166: The width of a rectangular box is 20% of the length. If the perimeter is 192 cm, then what are the length and width of the box? 1 solutions Answer 215458 by stanbon(57337)   on 2010-05-03 22:42:00 (Show Source): You can put this solution on YOUR website! The width of a rectangular box is 20% of the length. If the perimeter is 192 cm, then what are the length and width of the box? --- Let length be "x". Then width = 0.2x ------------------- Equation: P = 2(L + W) 192 = 2(x+0.2x) --- 96 = 1.2x x = 80cm (length) 0.2x = 16cm (width) ==================== Cheers, Stan H. ====================

Miscellaneous_Word_Problems/300181: A student ran out of time on a multiple choice exam and guessed the answers for two problems. Each problem had 4 answer choices - a,b,c,d- and only one correct answer. What is the probability that he answered both of the problems correctly? Write your answer as a fraction in lowest terms. 1 solutions Answer 215456 by stanbon(57337)   on 2010-05-03 22:33:53 (Show Source): You can put this solution on YOUR website! A student ran out of time on a multiple choice exam and guessed the answers for two problems. Each problem had 4 answer choices - a,b,c,d- and only one correct answer. What is the probability that he answered both of the problems correctly? Write your answer as a fraction in lowest terms. --- P(1st correct) = 1/4 P(2nd correct) = 1/4 --- P(both correct) = (1/4)^2 = 1/16 =================================== Cheers, Stan H. =========================

Probability-and-statistics/300090: 4. Chicken Delight claims that 90 percent of its orders are delivered within 10 minutes of the time the order is placed. A sample of 100 orders revealed that 82 were delivered within the promised timeframe. At the 0.10 significance level, can we conclude that less than 90 percent of the orders are delivered in 10 minutes or less? 1 solutions Answer 215442 by stanbon(57337)   on 2010-05-03 22:00:02 (Show Source): You can put this solution on YOUR website! Chicken Delight claims that 90 percent of its orders are delivered within 10 minutes of the time the order is placed. A sample of 100 orders revealed that 82 were delivered within the promised timeframe. At the 0.10 significance level, can we conclude that less than 90 percent of the orders are delivered in 10 minutes or less? -------------------- Ho: p = 0.90 (claim) Ha: p < 0.90 ----- sample proportion: 0.82 --- test statistic: z(0.82) = (0.82-0.90)/sqrt[0.9*0.1/100] = -2.667 ------------ critical values: z = +-1.645 ---- Conclusion: Since the ts is in the reject interval, reject Ho. =============================== Cheers, Stan H. ===============================

Probability-and-statistics/300136: How many different male-female committees can be formed from among 9 males and 10 females if each committee is to consist of 5 males and 6 females? 1 solutions Answer 215439 by stanbon(57337)   on 2010-05-03 21:49:26 (Show Source): You can put this solution on YOUR website! How many different male-female committees can be formed from among 9 males and 10 females if each committee is to consist of 5 males and 6 females? ---- # of groups of 5 males : 9C5 = 126 --- # of groups of 6 females: 10C6 = 210 ------------------------------------------ Total # of mixed groups: 126*210 = 26460 ============================================= Cheers, Stan H. =============================================

Probability-and-statistics/300158: Two dice are rolled. The probability that their sum equals 5 or more is _____. Enter your answer as a fraction using the "/". Do not include spaces in your answer. 1 solutions Answer 215437 by stanbon(57337)   on 2010-05-03 21:44:24 (Show Source): You can put this solution on YOUR website! Two dice are rolled. The probability that their sum equals 5 or more is _____. Enter your answer as a fraction using the "/". -------------------------------------- P(sum of 2): 1/36 P(sum of 3): 2/36 P(sum of 4): 3/36 --- P(sum of 5 or more) = 1 - [1/36 + 2/36 + 3/36] = 1 - 6/36 = 1 - 1/6 = 5/6 ================= Cheers, Stan H. =================

logarithm/300161: 5 3=125 logx5=-1 log 2 4divided2= 1 solutions Answer 215435 by stanbon(57337)   on 2010-05-03 21:39:39 (Show Source): You can put this solution on YOUR website! 5^3=125 ------------------------ logx(5) = -1 x^-1 = 5 x = 1/5 ---------------- log2(4) = 2 That is true. ==================== Cheers, Stan H.

Quadratic_Equations/300155: i don't understand some of the quadratic equation steps, like: * when to use the two different equations. *when do i know that there are no solutions *if i got a fraction for x do i turn it into a decimal? *if i don't have to turn it into decimal is there a chance that i can get a real big number? how can i work that out? *when i use the long equation(the one with the square root on it) im looking for the vertex in the parabola or what.. i don't understand? Please help me im doing kind of bad in Algebra because i don't understand this quadratic equations Maria Rivera 1 solutions Answer 215433 by stanbon(57337)   on 2010-05-03 21:35:35 (Show Source): You can put this solution on YOUR website! Quadratic Equation Form: y = ax^2 + bc + c --- Quadratic Formula: x = [-b +- sqrt(b^2-4ac)]/(2a) ====================================================== i dont understand some of the quadradic equation steps, like: * when to use the two different equations. I think you mean "two different solutions". Every quadratic has two solutions. --------- *when do i know that there are no solutions I think you mean "no Real Number solutions". If b^2-4ac is negative the equation has no Real Number solutions. ---------------- *if i got a fraction for X do i turn it into a decimanl? That is your choice. You may change it or you may leave it as a fraction. -------------------- *if i dont have to turn it into decimal is there a chance that i can get a real big number? how can i work that out? Yes, solutions may be big, or they may be small. ----------------------------------------------- *when i use the long equation(the one with the square root on it) im looking for the vertex in the parabola or what.. i dont understand? You are looking for the zeroes or roots of the equation. You are looking for the values of "x" which make ax^2+bx+c = 0 You are looking for the x-intercepts of the graph of the equation. ----------------------------------------------- Cheers, Stan H. ===================

Probability-and-statistics/300075: I'm lost here, my brain is on the blink today can somebody help me with this one. I would greatly appreciated any help on solving this problem. You are given the following data. Test the claim that there is a difference in the means of the two groups. Use = 0.05. Group A Group B = 10 = 2 = 1.0 = 0.1 = 99 = 52 •State the null and alternate hypotheses •Determine which test statistic applies, and calculate it •Determine the critical value(s). •State your decision: Should the null hypothesis be rejected? 1 solutions Answer 215420 by stanbon(57337)   on 2010-05-03 20:06:39 (Show Source): You can put this solution on YOUR website! Test the claim that there is a difference in the means of the two groups. Use = 0.05. Group A Group B = 10 = 2 = 1.0 = 0.1 = 99 = 52 ----- ua = (10+1+99)/3 = 110/3 36.67 sa^2 = 17.57^2 na = 3 --- ub = (2+0.1+52)/3 = 54.1/3 = 18.03 sb^2 = 7^2 nb = 3 ---------------------------------------- •State the null and alternate hypotheses Ho: ua-ub = 0 Ha: ua-ub is not equal to zero ------------------------------------------- •Determine which test statistic applies, and calculate it t = (36.67-18.03)/sqrt[(17.57^2/3 = 7^2/3] = 3.1313 ----- •Determine the critical value(s). invT(0.975,2) = +-4.3027 ------ •State your decision: Should the null hypothesis be rejected? The test stat is not in either reject interval. Fail to reject Ho. ============================= Cheers, Stan H. =============================

Linear_Equations_And_Systems_Word_Problems/300001: For each system of linear equations shown below, classify the system as "consistent dependent," "consistent independent," or "inconsistent." Then, answer the question about its solutions. First, L1:y= 2x-1 L2: -2x+y=-1 The system of equations is: inconsistent, consistent dependent, consistent independent This means: a unique solution ( , ) infinitely many solutions No solution Second, L1: y= 3/2x - 2 L2:y= 3/2 x The system of equations is: inconsistent, consistent dependent, consistent independent This means: a unique solution ( , ) infinitely many solutions No solution Third, L1:y= -1/2x-2 L2 y= x+1 The system of equations is: inconsistent, consistent dependent, consistent independent This means: a unique solution ( , ) infinitely many solutions No solution 1 solutions Answer 215387 by stanbon(57337)   on 2010-05-03 17:10:50 (Show Source): You can put this solution on YOUR website! For each system of linear equations shown below, classify the system as "consistent dependent," "consistent independent," or "inconsistent." Then, answer the question about its solutions. First, L1:y= 2x-1 L2: -2x+y=-1 --- Putting L2 in slope-intercept form you get: y = 2x-1 --- The two equations are the same so they are dependent. ----------------------------------------------------------- The system of equations is: inconsistent, consistent dependent, consistent independent This means: a unique solution ( , )----No infinitely many solutions--Yes No solution---No =========================================== Second, L1: y= 3/2x - 2 L2:y= 3/2 x The system of equations is: inconsistent, consistent dependent, consistent independent ------- Ans: Inconsistent ------- This means: a unique solution ( , ):::No infinitely many solutions:No No solution:::Yes ====================================== Third, L1:y= -1/2x-2 L2 y= x+1 The system of equations is: inconsistent, consistent dependent, consistent independent Ans: Consistent ----------------------------- This means: a unique solution ( , ):::Yes infinitely many solutions::No No solution:::No ======================================== Cheers, Stan H.