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Recent problems solved by 'stanbon'

stanbon answered: 57222 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 , 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56970..56999 , 57000..57029 , 57030..57059 , 57060..57089 , 57090..57119 , 57120..57149 , 57150..57179 , 57180..57209 , 57210..57239, >>Next

Sequences-and-series/131603: Good Evening, I could use a little help with how to solve for a and b. Please help with the following problem: Suppose you are offered two jobs. One pays $30,000 the first year with annual raises of $2000 each year. The second offers a starting salary of $27,000 and raises 8% each year. At the end of ten years, what would your yearly salary be from (a) first job? (b) second job? Thank you so very much Denise 1 solutions Answer 96061 by stanbon(57290)   on 2008-03-11 19:43:14 (Show Source): You can put this solution on YOUR website! Suppose you are offered two jobs. One pays $30,000 the first year with annual raises of $2000 each year. The second offers a starting salary of $27,000 and raises 8% each year. At the end of ten years, what would your yearly salary be from (a) first job? EQUATION: salary = 30000 + 2000x, where x is the number of years after the 1st> s(9) = 30,000 = 2000*9 = $48,000 --------------------------------------- (b) second job? EQUATION: salary = 27000*(1+0.08)^x where x is the number of years of work. s(10) = 27000(1.08)^9 = $53,973.12 ---------------------------------------- Cheers, Stan H.

Inequalities/131583: Why does the inequality sign change when both sides are divided and multiplied by a negative number? Does this happen with equations? 1 solutions Answer 96053 by stanbon(57290)   on 2008-03-11 18:59:55 (Show Source): You can put this solution on YOUR website! Why does the inequality sign change when both sides are divided and multiplied by a negative number? Does this happen with equations? ---------------- Try it with numbers and you will see what happens: Start: -6 < 18 Multiply both sides by -2 End: 12 > -36 The inequality switched and each of the sides changed sign. ----------------------------- Start -6 < 18 Divide both sides by -2 End: 3 > -9 Again, the inequality switch and each of the sides changed sign. ================================= Cheers, Stan H.

Quadratic_Equations/131581: how do you factor 4x^2-13x-12? 1 solutions Answer 96051 by stanbon(57290)   on 2008-03-11 18:51:25 (Show Source): You can put this solution on YOUR website! factor 4x^2-13x-12 = 4x^2 -16x+3x-12 = 4x(x-4)+3(x-4) = (x-4)(4x+3) ================== Cheers, Stan H.

Probability-and-statistics/130699: This question is from textbook Applied Statistics in Business and Economics A coin was flipped 60 times and came up heads 38 times. (a) At the .10 level of significance, is the coin biased toward heads? Show your decision rule and calculations. (b) Calculate a p-value and interpret it. 1 solutions Answer 96049 by stanbon(57290)   on 2008-03-11 18:45:23 (Show Source): You can put this solution on YOUR website! answered Cheers, Stan H.

Probability-and-statistics/130725: Please help me. I need your help with this question. Thank you kindly. 15.18 Sixty-four students in an introductory college economics class were asked how many credits they had earned in college, and how certain they were about their choice of major. Research question: At α = .01, is the degree of certainty independent of credits earned? Credits Earned Very Uncertain Somewhat Certain Very Certain Row Total 0–9 12 8 3 23 10–59 8 4 10 22 60 or more 1 7 11 19 Col Total 21 19 24 64 1 solutions Answer 96048 by stanbon(57290)   on 2008-03-11 18:43:28 (Show Source): You can put this solution on YOUR website! answered Cheers, Stan H.

Probability-and-statistics/130726: Please help me. I am stuck with this question. Can people really identify their favorite brand of cola? Volunteers tasted Coca-Cola Classic, Pepsi, Diet Coke, and Diet Pepsi, with the results shown below. Research question: At α = .05, is the correctness of the prediction different for the two types of cola drinkers? Could you identify your favorite brand in this kind of test? Since it is a 2 × 2 table, try also a two-tailed two-sample z test for π1 = π2 and verify that z2 is the same as your chi-square statistic.Which test do you prefer? Why? Correct? Regular Cola Diet Cola Row Total Yes, got it right 7 7 14 No, got it wrong 12 20 32 Col Total 19 27 46 Thank you kindly. 1 solutions Answer 96047 by stanbon(57290)   on 2008-03-11 18:41:27 (Show Source): You can put this solution on YOUR website! answered Cheers, Stan H.

Probability-and-statistics/130782: I. Seven letter words are formed using the letters of the word BLACKER. (a)How many which end in R? (b)How many in which E immediately follows K? (c)How many do not begin with B?(d)How many in which the vowels are separated by exactly two letters? (e)How many in which the vowels are seperated by two or more letters? I understand how to use the permutation or combination formulas, but I truly do not understand how to apply them to these type problems. Please help in explaining. Thank you very much! 1 solutions Answer 96046 by stanbon(57290)   on 2008-03-11 18:38:39 (Show Source): You can put this solution on YOUR website! Do you still need this answered? Cheers, Stan H.

Probability-and-statistics/130745: 1.) Pimlico Race track; 1 Single ticket (you can only bet 1 horse out of 1-8) Question: what is the probability that a single ticket will win a race? 2.)Double ticket - (horse 5 and 2 have to win inorder 1st place for #5 and second place for #2) Question: What is the probability that a double ticket will win the race? 1 solutions Answer 96045 by stanbon(57290)   on 2008-03-11 18:36:09 (Show Source): You can put this solution on YOUR website! answered Cheers, Stan H.

expressions/131544: When the sun starts to cross the horizon, the surface temperature was 7 degrees at 6 am. As the day wore on, the temperature went up by 2.5 degrees per hour. By sundown, at 7 pm, what was the final daytime temperature? 1 solutions Answer 96043 by stanbon(57290)   on 2008-03-11 18:18:51 (Show Source): You can put this solution on YOUR website! When the sun starts to cross the horizon, the surface temperature was 7 degrees at 6 am. As the day wore on, the temperature went up by 2.5 degrees per hour. By sundown, at 7 pm, what was the final daytime temperature? --------------------------- You have two points and can generate an equation but the assumption is that the temperature continues to rise as the day goes on; that is not true. ------------------------------ (0,7degrees) (13,9.5 degrees) slope = 2.5 intercept = 7 EQUATION: temp = 2.5(hrs. after 6am) + 7 temp(7pm)=2.5*11 + 7 = 34.5 =================================== Cheers, Stan H.

Linear-equations/131559: Find the standard form of the equation of the line with slope -4/5 and y-intercept -2. Choices are: 4x+10y=-5 -4x-5y=10 -5x-4y=10 1 solutions Answer 96039 by stanbon(57290)   on 2008-03-11 17:55:06 (Show Source): You can put this solution on YOUR website! Find the standard form of the equation of the line with slope -4/5 and y-intercept -2. Choices are: 4x+10y=-5 -4x-5y=10 -5x-4y=10 -5x-4y=10 -------------------------- EQUATION: y = (-4/5)x-2 Multiply thru by 5 to get: 5y=-4x-10 Rearrange: -4x-5y=10 =============== Cheers, Stan H.

Age_Word_Problems/131565: Olivia, Newt, and John were each born 3 years apart, with Olivia the youngest and john the oldest. The sum of the squares of their ages is 606. How old is each? 1 solutions Answer 96038 by stanbon(57290)   on 2008-03-11 17:49:13 (Show Source): You can put this solution on YOUR website! Olivia, Newt, and John were each born 3 years apart, with Olivia the youngest and john the oldest. The sum of the squares of their ages is 606. How old is each? ----------------------- Let Olivia's age be "x" Newt's age is "x+3" John's age is "x+6" ---------------------- EQUATION x^2 + (x+3)^2 + (x+6)^2 = 606 x^2 + x^+6x+9 + x^2+12x+36 = 606 3x^2 + 18x + 45 = 606 x^2 + 6x - 187 = - (x-11)(x+17)=0 Positive Solution: x = 11 (Olivia's age) x+3 = 14 (Newt's age) x+6 = 17 (John's age) ======================== Cheers, Stan H.

Miscellaneous_Word_Problems/131555: Hi the chapter im on is called Exponential and Logarithmic functions. I had a question on a word problem from it. Here it is: The voltage input of an amplifier is 0.5 volts. Its voltage output is 52 volts. Use the formula d=10log(E base 0/E base 1), where d is the decibel voltage, E base 0 is the output voltage, and E base 1 is the input voltage to find the decibel voltage. Okay this question makes no sense to me so if someone can figure it out.. Thank u! 1 solutions Answer 96030 by stanbon(57290)   on 2008-03-11 16:59:58 (Show Source): You can put this solution on YOUR website! The voltage input of an amplifier is 0.5 volts. Its voltage output is 52 volts. Use the formula d=10log(E base 0/E base 1), where d is the decibel voltage, E base 0 is the output voltage, and E base 1 is the input voltage to find the decibel voltage. ---------------------- d=10log(E base 0/E base 1) Substitute the values you are given to get: d = 10log(52/1) d = 10*1.716... d = 17.16 db ---------------- O is like the output of a loudspeaker E is like the voice of a person singing 17.16 is the gain in power produced by the amplifier. ============= Cheers, Stan H.

Polynomials-and-rational-expressions/131550: x^2+2x-13=2 1 solutions Answer 96024 by stanbon(57290)   on 2008-03-11 16:53:04 (Show Source): You can put this solution on YOUR website! x^2+2x-13=2 x^2+2x-15=0 Factor (x+5)(x-3)= 0 x = -5 or x = 3 ==================== Cheers, Stan H.

Numbers_Word_Problems/131554: Find two consecutive odd integers such that seven times the first equals five times the second. 1 solutions Answer 96022 by stanbon(57290)   on 2008-03-11 16:51:05 (Show Source): You can put this solution on YOUR website! Find two consecutive odd integers such that seven times the first equals five times the second. -------------- Odd integers are always one more that an even integer: 1st: 2n+1 2nd: 2n+3 ------------ EQUATION: 7(2n+1) = 5(2n+3) 14n+7 = 10n+15 4n = 8 n = 2 ------------ 1st: 2n+1 = 5 2nd: 2n+3 = 7 =================== Cheers, Stan H.

Probability-and-statistics/131427: Pleas help: Dullco Manufacturing claims that its alkaline last forty hours on average in a certain type of portable CD player. Tests on a random sample of 18 batteries showed a mean battery life of 37.8 hours with a standard deviation of 5.4 hours. What is the test statistics? Okay, I got this far: n=80, u=37.8, o=5.4 but then I got confused! I don't have an ISBN because it is an online course, please help, it's due by midnight. Thank you 1 solutions Answer 96020 by stanbon(57290)   on 2008-03-11 16:48:00 (Show Source): You can put this solution on YOUR website! Dullco Manufacturing claims that its alkaline last forty hours on average in a certain type of portable CD player. Tests on a random sample of 18 batteries showed a mean battery life of 37.8 hours with a standard deviation of 5.4 hours. What is the test statistics? Okay, I got this far: n=80, u=37.8, o=5.4 but then I got confused! ------------------ Ho: mu = 40 hrs Ha: ? ----------- Test statistic: Use a t-test t(x-bar) = (x-bar - mu)/[s/sqrt(n)] t(37.8) = (37.8-40)/5.4/sqrt(18) = -2.2*sqrt(18)/5.4 = -1.7284... ================= Cheers, Stan H.

Probability-and-statistics/131169: 12.48 In the following regression, X = weekly pay, Y = income tax withheld, and n = 35 McDonald’s employees. (a) Write the fitted regression equation. (b) State the degrees of freedom for a twotailed test for zero slope, and use Appendix D to find the critical value at α = .05. (c) What is your conclusion about the slope? (d) Interpret the 95 percent confidence limits for the slope. (e) Verify that F = t2 for the slope. (f) In your own words, describe the fit of this regression. 1 solutions Answer 96017 by stanbon(57290)   on 2008-03-11 16:42:15 (Show Source): You can put this solution on YOUR website! Answered Cheers, Stan H.

Probability-and-statistics/131436: This question is from textbook Applied Statistics in Business & Economics 9.78 Is this sample of 25 exam scores inconsistent with the hypothesis that the true variance is 64 (i.e., σ = 8)? Use the 5 percent level of significance in a two-sided test. Show all steps, including the hypotheses and critical values from Appendix E. Exams 80 79 69 71 74 73 77 75 65 52 81 84 84 79 70 78 62 77 68 77 88 70 75 85 84 I can't get the appendix to open on my online school. I understand that I average the set of data, but don't understand what to do next. 1 solutions Answer 96014 by stanbon(57290)   on 2008-03-11 16:40:12 (Show Source): You can put this solution on YOUR website! Is this sample of 25 exam scores inconsistent with the hypothesis that the true variance is 64 (i.e., σ = 8)? Use the 5 percent level of significance in a two-sided test. Show all steps, including the hypotheses and critical values from Appendix E. Exams 80 79 69 71 74 73 77 75 65 52 81 84 84 79 70 78 62 77 68 77 88 70 75 85 84 ----------------- Ho: sigma^2 = 64 Ha: sigma^2 is not 64 -------------------------- alpha = 5%; critical Chi-Sq. values for 2-tail test with df=24: ChL = 12.401 ChR39.364 ------------ Test Statistic: Chi-Sq = (n-1)s^2/sigma^2 = 24*14.068^2/64^2 = 1.1596... ------------- Conclusion: Test statistic is < 12.401 so Reject Ho. Sigma^2 is not 64 ======================== Cheers, Stan H.

Probability-and-statistics/131507: Please help. Biting an unpopped kernel of popcorn hurts! As an experiment, a self-confessed connoisseur of cheap popcorn carefully counted 773 kernels and put them in a popper. After popping, the unpopped kernels were counted. There were 86. (a) Construct a 90 percent confidence interval for the proportion of all kernels that would not pop. (b) Check the normality assumption. (c) Try the Very Quick Rule. Does it work well here? Why, or why not? (d) Why might this sample not be typical? 1 solutions Answer 96001 by stanbon(57290)   on 2008-03-11 14:39:55 (Show Source): You can put this solution on YOUR website! This problem has been worked on this site in the Prob and Stat section. ================= Cheers, Stan H.

Rational-functions/131520: Given describe the translation for the function and graph 1 solutions Answer 95999 by stanbon(57290)   on 2008-03-11 14:10:24 (Show Source): You can put this solution on YOUR website! Given describe the translation for the function and graph. ---------------- Since the "x" has become x-3, every point of the 1st graph is moved 3 units to the right. ----------------------- ------------------------ Comment: The red graph is before the shift; The green graph is after the shift. -------------------- Cheers, Stan H.

logarithm/131518: I need help solving this equation on logarithms. Solve each equation. Round to the nearest hundredth. log of 5x=3 thanks for the help!!!! 1 solutions Answer 95998 by stanbon(57290)   on 2008-03-11 14:04:35 (Show Source): You can put this solution on YOUR website! log of 5x=3 -------------- Comment: log means "exponent" or power Your equation says "the exponent is 3". ------------ So you ask: exponent of WHAT/ The word log implies that the base is 10. ----------- So your equation means: 5x = 10^3 5x = 1000 x = 200 ============== Cheers, Stan H.

logarithm/131509: Hello could you help me with my homework on logarithms? Its due tomorrow Here's the question Write each logarithmic expression as a single logarithm. 1/3(log base 4 of x + log base 4 of z)-2log base 4 of y Thanks so much i really appreciate it!! 1 solutions Answer 95997 by stanbon(57290)   on 2008-03-11 13:58:09 (Show Source): You can put this solution on YOUR website! (1/3)(log(base 4) x + log(base 4)z) - 2log(base 4) y --------------- log(base4)x^(1/3)z - log(base4)y^2 = log(base4[x^(1/3)z/y^2] ===================== Cheers, Stan H.

Rational-functions/131517: hello! how are you?could u please help me with this i have similar question on my test tonite ,thank you: Show that a=-3 and b =1 are the lower and upper bounds fro all zeros of the polynomial 1 solutions Answer 95996 by stanbon(57290)   on 2008-03-11 13:53:05 (Show Source): You can put this solution on YOUR website! Show that a=-3 and b =1 are the lower and upper bounds fro all zeros of the polynomial -------------------- There are several ways to do this. One is to find all the zeroes. ---------- Use synthetic division: -2)....2....5.....1....-2 ........2....1....-1..|..0 so x=-2 is a zero Since the quotient is 2x^2+x-1 There are two other zeros: x = [-1 +- sqrt(1-4*2*-1))/4 x = [-1 +- sqrt(9)]/4 x = 1/2 or x = -1 ----------------------- So x=-3 and x=1 are definately lower and upper bounds ============= Cheers, Stan H.

Rational-functions/131516: Please help with this problem i have a test tonite Use synthetic division and the Remainder Theorem to evaluate P(c): Given and c=2 1 solutions Answer 95993 by stanbon(57290)   on 2008-03-11 13:43:55 (Show Source): You can put this solution on YOUR website! Use synthetic division and the Remainder Theorem to evaluate P(c): Given and c=2 -------------- 2)....1....3....-7....6 .......1.....5....3..|..12 Remainder: f(2)= 12 Quotient: x^2+5x+3 =========================== Cheers, Stan H.

Rational-functions/131512: i have test tommorow please help Given ,find the asymptotes and intercepts and then graph 1 solutions Answer 95992 by stanbon(57290)   on 2008-03-11 13:40:30 (Show Source): You can put this solution on YOUR website! Given ,find the asymptotes and intercepts and then graph. ----------- s(x)=(2x-4)/(x^2+x-2) Factor to get: s(x) = (2(x-2))/[(x+2)(x-1)] ------- Horizontal Asymptote: The highest power in the rational expression is x^2 ha = 0x^2/1x2 = 0/1: ha at y = 0 -------------------------------- Vertical Asymptote: va's where the denominator becomes zero va at x = -2 and at x=1 =============================== Graph: ================================ Cheers, Stan H.

logarithm/131513: Hi the section im working on is natural logs Im confused on this problem. Use the properties of logarithms to simplify each question and solve it. Round to the nearest hundredth. ln(x+2)+ln(x-2)=0 thanks :) 1 solutions Answer 95991 by stanbon(57290)   on 2008-03-11 13:32:42 (Show Source): You can put this solution on YOUR website! ln(x+2)+ln(x-2)=0 ln[(x+2)(x-2)] = 0 ln[x^2-4] = 0 x^2-4 = e^0 x^2-4 = 1 x^2 = 5 x = sqrt5 or x = -sqrt(5) Only x = sqrt5 is an acceptable answer because -sqrt(5)-2 is negative and ln(negative) does not exist. ====================== Cheers, Stan H.

Geometric_formulas/131494: I have a TI-83 and I want to know how to graph a Logarithmic spiral with the geometric progression of 1.4. I believe the equation is: r = ae^(b[theta]) In fact I want to know how this spiral can be graphed by hand... Thanks one million! Bill 1 solutions Answer 95989 by stanbon(57290)   on 2008-03-11 13:27:04 (Show Source): You can put this solution on YOUR website! have a TI-83 and I want to know how to graph a Logarithmic spiral with the geometric progression of 1.4. I believe the equation is: r = ae^(b[theta]) In fact I want to know how this spiral can be graphed by hand... -------------- Your equation is an exponential equaation. It is either an increasing function (b>1) or a decreasing function (0 < b < 1) ---------------- You will not get a spiral graph out of it because the TI-83 uses the Real Number line as its domain. ---------------- If you want theta to run from 0 to 2pi and then 0 to 2pi repeatedly you would have to plot your points and see how the curve is affected. --------------------------------- Also, keep in mind, the TI can only plot functions. If there are two or more y values associated with any x-value the TI cannot graph it. ---------------------------------- Cheers, Stan H.

Mixture_Word_Problems/131491: 66 kilograms of cement is mixed with 22.5 kilograms of water. However, the mixture is supposed to be 40% water in order to dry properly. Find the amount that should be added. Please help, thanks! 1 solutions Answer 95972 by stanbon(57290)   on 2008-03-11 11:38:26 (Show Source): You can put this solution on YOUR website! 66 kilograms of cement is mixed with 22.5 kilograms of water. However, the mixture is supposed to be 40% water in order to dry properly. Find the amount that should be added. ---------------- Start: 22.5/66 = 34% water in the cement before additional water added --------------- Add: x kg of water ---------------- End up with: (x+66) kg of cement containing 40% water. --------------- EQUATION: water + water = water 22.5 + x = 0.40(66+x) 22.5 + x = 26.4 + 0.4x 0.6x = 3.9 x = 6.5 kg of water must be added ================== Cheers, Stan H.

Probability-and-statistics/131445: Please kindly help me. I am struggling with this question. I desperately need your help. 12.48 In the following regression, X = weekly pay, Y = income tax withheld, and n = 35 McDonald’s employees. (a) Write the fitted regression equation. (b) State the degrees of freedom for a two-tailed test for zero slope, and use Appendix D to find the critical value at alpha = .05. (c) What is your conclusion about the slope? (d) Interpret the 95 percent confidence limits for the slope. (e) Verify that F = t2 for the slope. (f) In your own words, describe the fit of this regression. R2 0.202 Std. Error 6.816 n 35 ANOVA table Source SS df MS F p-value Regression 387.6959 1 387.6959 8.35 0.0068 Residual 1533.0614 33 46.4564 Total 1920.7573 34 Regression output Confidence interval variables coefficients std. error t(df=33) p-value 95% lower95% upper Intercept 30.7963 6.4078 4.806 0.0000 17.7595 43.8331 Slope 0.0343 0.0119 2.889 0.0068 0.0101 0.0584 1 solutions Answer 95969 by stanbon(57290)   on 2008-03-11 11:29:20 (Show Source): You can put this solution on YOUR website! You will have to judge whether this feedback makes any sense as this is not a familiar area for me. _____________________________ In the following regression, X = weekly pay, Y = income tax withheld, and n = 35 McDonald’s employees. (a) Write the fitted regression equation. Looking at your "Regression Output" I see Y = 0.0343X + 30.7963 ------------------------------------- (b) State the degrees of freedom for a two-tailed test for zero slope, and use Appendix D to find the critical value at alpha = .05. ------- Again, based on your "Regression Output" data, df=33 I don't know what your "D" chart is but you have to look at it to find the critical values for 2-tail tests with alpha=5% ---------------- (c) What is your conclusion about the slope? The p-value is 0.0068 so, whatever your Ho is, you are going to reject it. ------------------------------------ (d) Interpret the 95 percent confidence limits for the slope. With 95% confidence you can claim the slope of the regression line is between 0.0101 and 0.0584. ---------------------------- (e) Verify that F = t2 for the slope. Not sure what this is all about. ------------------------------ (f) In your own words, describe the fit of this regression. I'll leave that to you. ============== Cheers, Stan H. R2 0.202 Std. Error 6.816 n 35 ANOVA table Source SS df MS F p-value Regression 387.6959 1 387.6959 8.35 0.0068 Residual 1533.0614 33 46.4564 Total 1920.7573 34 Regression output Confidence interval variables coefficients std. error t(df=33) p-value 95% lower95% upper Intercept 30.7963 6.4078 4.806 0.0000 17.7595 43.8331 Slope 0.0343 0.0119 2.889 0.0068 0.0101 0.0584

Probability-and-statistics/131449: plzzzzzzzzzzzzzzzz any one provide me the answer of this question.. The probability that a man will be alive in 25 years is 3/5 and that his wife will be alive in 25 years is 2/3.find the probability 1). both will be alive. 2). only the man will be alive. 3). only the wife will be alive. 4). atleast one will be alive. 5). neither will be alive. 1 solutions Answer 95966 by stanbon(57290)   on 2008-03-11 10:57:14 (Show Source): You can put this solution on YOUR website! The probability that a man will be alive in 25 years is 3/5 and that his wife will be alive in 25 years is 2/3.find the probability 1). P(both will be alive) = (3/5)(2/5) = 6/25 2). P(only the man will be alive= (3/5)(1/3)= (1/5) 3). P(only the wife will be alive)=(2/5)(2/3) = 4/15 4). P(atleast one will be alive) = 1-P(both die) = 1-(2/5)(1/3) = 13/15 5). P(neither will be alive) = (2/5)(1/3) = 2/15 ============== Cheers, Stan H.

Linear-equations/131479: Can you plese help me with the following? I need to solve and graph the following equation and interpet the result: 2x-3y=6 and 2x+y=-10. 1 solutions Answer 95965 by stanbon(57290)   on 2008-03-11 10:46:11 (Show Source): You can put this solution on YOUR website! solve and graph the following equation and interpet the result: 2x-3y=6 and 2x+y=-10. ---------------------- solve both equation for "y": y = (2/3)x-2 y = -2x-10 ------------- Graph y = (2/3)x-2 If x = 0, y = -2 If x = 3, y = 0 Plot the two points and draw a line thru them. ------------------- Graph y = -2x-10 If x = 0, y = -10 If x = 1, y = -12 Plot the two points and draw a line thru them. --------------------- Graphing them on the same set of axes you might see the lines cross at (-3,-4); this is the solution for the system of two equations. It is the common solution. ----------------- ==================== Cheers, Stan H.

Miscellaneous_Word_Problems/131478: This question is from textbook It takes a motorboat 4 hours to travel 56 miles down a river, and 3 hours longer to make the return trip. Find the speed of the river current. 1 solutions Answer 95964 by stanbon(57290)   on 2008-03-11 10:35:35 (Show Source): You can put this solution on YOUR website! It takes a motorboat 4 hours to travel 56 miles down a river, and 3 hours longer to make the return trip. Find the speed of the river current. ---------------- Downstream DATA: Time = 4 hr ; distance = 56 miles ; rate = d/t = 56/4 = 14 mph --------------- Upstream DATA: Time = 7 hr ; distance = 56 miles ; rate = d/t = 56/7 = 8 mph -------------- Let boat speed be "b"; Let water speed be "w" -------------- EQUATIONS: b+w = 14 b-w = 8 Add to get: 2b = 22 b = 11 mph (boat speed in still water) Substitute to get water speed: 11+w = 14 w = 3 mph (water speed) ============= Cheers, Stan H.