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Recent problems solved by 'stanbon'

stanbon answered: 57135 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 , 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56970..56999 , 57000..57029 , 57030..57059 , 57060..57089 , 57090..57119 , 57120..57149, >>Next

expressions/141866: Can you please help me figure this problem out. I tried and I just can't get it. 57% of what number is 23? How do I come up with the answer. PLEASE HELP ME 1 solutions Answer 103333 by stanbon(57203)   on 2008-05-16 19:32:41 (Show Source): You can put this solution on YOUR website! Can you please help me figure this problem out. I tried and I just can't get it. 57% of what number is 23? How do I come up with the answer. ---------- (57/100)x = 23 0.57x = 23 x = 23/0.57 x = 40.35... Cheers, Stan H.

Probability-and-statistics/141845: An experimental medication is administered to 16 people who suffer from migraines. After an hour, 10 say they feel better. Is the medication effective (i.e., is the percent who feel better greater than 50 percent)? Use α = .10, explain fully, and show all steps. 1 solutions Answer 103331 by stanbon(57203)   on 2008-05-16 19:29:15 (Show Source): You can put this solution on YOUR website! An experimental medication is administered to 16 people who suffer from migraines. After an hour, 10 say they feel better. Is the medication effective (i.e., is the percent who feel better greater than 50 percent)? Use α = .10, explain fully, and show all steps. -------------- Ho: p = 0.5 Ha: p > 0.5 ------------ Critical value for and alpha = 10%: z = 1.282 Test statistic: z(10/16) = (0.625-0.5)/sqrt(0.5*0.5/16)] = 1.00 -------- Conclusion: Since the test statistic is not in the reject interval to the right of 1.282, Fail to reject Ho. The test results show that the medication is not effective. ================ Cheers, Stan H.

Miscellaneous_Word_Problems/141854: This question is from textbook Prentice Hall Mathmatics Pre-Algrebra Thanks for helping me in advance. I can`t seem to find the answer to this question. Here is the question: You have three pieces of string, each 60 cm long. You form a circle with one piece, a square with another, and an equilateral triangle with the third piece. How do the areas of the three figures compare? Explain. Thanks again in advance for helping! 1 solutions Answer 103329 by stanbon(57203)   on 2008-05-16 19:21:06 (Show Source): You can put this solution on YOUR website! You have three pieces of string, each 60 cm long. You form a circle with one piece, a square with another, and an equilateral triangle with the third piece. How do the areas of the three figures compare? Explain. --------------- The circle has a circumference of 60 cm Find the radius so you can find its area. 2(pi)r = 60 r = 30/pi Area = (pi)(30/pi)^2 = 900/pi sq cm ----------------- The square has 4 sides that are each 60/4 = 15 cm Area = 15^2 = 225 sq cm ------------------ The triangle has three sides that are each 20 cm. base = 20 cm Draw a perpendicular bisector from the base to the vertex; height = h h^2 + 10^2 = 20^2 h^2 = 400-100 = 300 h = 10sqrt(3) Area = (1/2)bh Area = (1/2)20*10sqrt(3) Area = 100sqrt(3) sq cm ----------------- Now you can compare the areas any way you want to. Cheers, Stan H.

Travel_Word_Problems/141855: A pilot flies in a straight path for 1 h 30 min. He then makes a course change, heading 10° to the rightof his original course, flying 2 h in the new direction. If he maintains a constant speed of 625 mi/h,then how far is he from his starting position? 1 solutions Answer 103328 by stanbon(57203)   on 2008-05-16 19:12:53 (Show Source): You can put this solution on YOUR website! A pilot flies in a straight path for 1 h 30 min. He then makes a course change, heading 10° to the rightof his original course, flying 2 h in the new direction. If he maintains a constant speed of 625 mi/h,then how far is he from his starting position? --------- 1st leg = 1.5*625 = 937.5 mi 2nd leg = 2*625 = 1300 included angle = 170 degrees -------------------------------- Use the law of cosines: The side opposite the 170 degree angle is the distance you want. a^2 = b^2 + c^2 -2bc Cos(A) a^2 = 937.5^2 + 1300^2 -2*937.5*1300Cos(170) Solve for "a". I'll leave that to you. Cheers, Stan H.

Angles/141856: You and your friend’s tugboats are 120 ft apart, and you’re pulling the same barge. The length of the cable from your tugboat to the barge is 212 ft, and the length of your friend’s cable is 230 ft. What is the angle formed by your two cables? 1 solutions Answer 103327 by stanbon(57203)   on 2008-05-16 19:05:08 (Show Source): You can put this solution on YOUR website! You and your friend’s tugboats are 120 ft apart, and you’re pulling the same barge. The length of the cable from your tugboat to the barge is 212 ft, and the length of your friend’s cable is 230 ft. What is the angle formed by your two cables? -------------------------------- Draw the triangle that is formed by the two ropes and the distance between the tugs. The angle you want is opposite the 120 ft. distance between the tugs. Use the Law of Cosines to find the angle: cos(A) = (b^2+c^2-a^2)/2bc cos(A) = (212^2 + 230^2-120^2)/(2*212*230) = 0.85566 A = cos^-1(0.85566) = 31.167 degrees ================ Cheers, Stan H.

Human-and-algebraic-language/141858: A consumer electronics company sells 6.7 million MP3 players per month at a price of $100 apiece; when the price is lowered to $80, the company sells 10.2 million players per month. How many MP3 players can the company expect to sell per month at a price of $75? 1 solutions Answer 103325 by stanbon(57203)   on 2008-05-16 18:48:59 (Show Source): You can put this solution on YOUR website! A consumer electronics company sells 6.7 million MP3 players per month at a price of $100 apiece; when the price is lowered to $80, the company sells 10.2 million players per month. How many MP3 players can the company expect to sell per month at a price of $75? ------------------------- You have two points: (100,6.7) (80,10.2) ---------- slope = (6.7-10.2)/(100-80) = -3.5/20 = -0.175 million/dollars ---------- Form: selling # = (slope)(cost) + b 10.2 = -0.175(80) + b b = 24.2 ----------- EQUATION: selling # = -0.175(cost) + 24.2 How many MP3 players can the company expect to sell per month at a price of $75? selling#(75) = -0.175*75 + 24.2 selling#(75) = 11.075 million ===================================== Cheers, Stan H.

Human-and-algebraic-language/141861: Sales tax in Pennsylvania is 6%. Create an equation for the total price (cost plus tax) of a purchase in PA in terms of its cost. How much would a person pay for a car whose cost is $32,000? 1 solutions Answer 103323 by stanbon(57203)   on 2008-05-16 18:16:54 (Show Source): You can put this solution on YOUR website! Sales tax in Pennsylvania is 6%. Create an equation for the total price (cost plus tax) of a purchase in PA in terms of its cost. How much would a person pay for a car whose cost is $32,000? -------------------------- Total price = 1.06(cost) --------------- Total price = 1.06(32000 = $33,920 =============================== Cheers, Stan H.

Human-and-algebraic-language/141860: Seven inches are equivalent to 17.78 cm. Find the equation converting length in cm to length in inches. What is the length in inches of a 96.2 cm bar? 1 solutions Answer 103322 by stanbon(57203)   on 2008-05-16 18:05:26 (Show Source): You can put this solution on YOUR website! Seven inches are equivalent to 17.78 cm. Find the equation converting length in cm to length in inches. What is the length in inches of a 96.2 cm bar? ---------------------- 17.78 cm = 7 in 1 cm = (7/17.78) in -------------------------- 96.2 cm = 96.2(7/17.78) in 96.2 cm = 37.874 in ====================== Cheers, Stan H.

Probability-and-statistics/141846: Does lovastatin (a cholesterol-lowering drug) reduce the risk of heart attack? In a Texas study, researchers gave lovastatin to 2,325 people and an inactive substitute to 2,081 people (average age 58). After 5 years, 57 of the lovastatin group had suffered a heart attack, compared with 97 for the inactive pill. (a) State the appropriate hypotheses. (b) Obtain a test statistic and p-value. Interpret the results at α = .01. (c) Is normality assured? (d) Is the difference large enough to be important? (e) What else would medical researchers need to know before prescribing this drug widely? (Data are from Science News 153 [May 30, 1998], p. 343.) 1 solutions Answer 103321 by stanbon(57203)   on 2008-05-16 17:28:01 (Show Source): You can put this solution on YOUR website! Answered previously. Go to www.algebra.com Use the search bar to find 136605 =============== Cheers, Stan H.

Polygons/141745: A vehicle travels 125.7 feet while its weels revolve 16 times.Find the diameter of the wheels to the nearest inch. 1 solutions Answer 103280 by stanbon(57203)   on 2008-05-16 07:59:46 (Show Source): You can put this solution on YOUR website! A vehicle travels 125.7 feet while its weels revolve 16 times.Find the diameter of the wheels to the nearest inch. ------------------- 125.7/2(pi)r = 16 r = 125.7/(2(pi)16) r = 1.2503... ft. -------- diameter = 2r ================== Cheers, Stan H.

Polygons/141744: Find the number of sides of a convex polygon if the measures of its interior angles have a sum of 1440 degrees? 1 solutions Answer 103279 by stanbon(57203)   on 2008-05-16 07:56:00 (Show Source): You can put this solution on YOUR website! Find the number of sides of a convex polygon if the measures of its interior angles have a sum of 1440 degrees? ------------- (n-2)180 = 1440 n-2 = 8 n = 10 (# of sides) ====================== Cheers, Stan H.

absolute-value/141762: The reciprocal of 7 is 1/7 since their product is 1 ( 7 * 1/7 = 1) The question I need to answer is "are the reciprocals of 7 and -7 opposites". The reciprocals of 7 and -7 are 1/7 and - 1/7 Are 1/7 and -1/7 opposites? 1 solutions Answer 103278 by stanbon(57203)   on 2008-05-16 07:52:06 (Show Source): You can put this solution on YOUR website! Yes Cheers, Stan H.

Probability-and-statistics/141752: This problem is driving me nuts!! Please Assist :/ "Two cards are drawn from a standard deck of 52 cards. Find each Probability P(Both Kings or Both Black) P(Both Face Cards of Both Red) 1 solutions Answer 103277 by stanbon(57203)   on 2008-05-16 07:47:16 (Show Source): You can put this solution on YOUR website! Two cards are drawn from a standard deck of 52 cards. Find each Probability P(Both Kings or Both Black) = P(both Kings) + P(both Black)-P(both Kings AND Both Black) = 4C2/52C2 + 26C2/52C2 - 1/52C2 = [6 + 325 -1]/1326 ----------------------------- P(Both Face Cards or Both Red) = P(both Face)+P(both Red)-P(both Face AND Red) Comment: assuming Face means King,Queen,Jack there are 12 ------- = 12C2/52C2 + 26C2/52C2 - 6C2/52C2 = [66 + 325 - 15]/1326 ======================== Cheers, Stan H.

Probability-and-statistics/141448: The probability is 1 in 4,000,000 that a single auto trip in the United States will result in a fatality. Over a lifetime, an average U.S. driver takes 50,000 trips. (a) What is the probability of a fatal accident over a lifetime? Explain your reasoning carefully. Hint: Assume independent events. Why might the assumption of independence be violated? (b) Why might a driver be tempted not to use a seat belt “just on this trip”? 1 solutions Answer 103271 by stanbon(57203)   on 2008-05-15 22:33:06 (Show Source): You can put this solution on YOUR website! The probability is 1 in 4,000,000 that a single auto trip in the United States will result in a fatality. Over a lifetime, an average U.S. driver takes 50,000 trips. (a) What is the probability of a fatal accident over a lifetime? Explain your reasoning carefully. Hint: Assume independent events. Why might the assumption of independence be violated? P(accident in 50,000 trips) = np = 50000(1/4000000= 0.0125 some drivers are more prone to accidents then others. ---------------------- (b) Why might a driver be tempted not to use a seat belt “just on this trip”? He might focus on the extremely low probability of an accident on this trip. Cheers, Stan H.

Probability-and-statistics/141514: The management of White Industries is considering a new method of assembling its golf cart. The present method requires 42.3 minutes, on the average, to assemble a cart. The mean assembly time for a random sample of 24 carts, using the new method, was 40.6 minutes, and the standard deviation of the sample was 2.7 minutes. Using a 0.10 level of significance, setup a Hypothesis test. Can we conclude that the assembly time using the new method is faster? 1 solutions Answer 103270 by stanbon(57203)   on 2008-05-15 22:24:33 (Show Source): You can put this solution on YOUR website! The management of White Industries is considering a new method of assembling its golf cart. ---------------------- The present method requires 42.3 minutes, on the average, to assemble a cart. ---------------------- The mean assembly time for a random sample of 24 carts, using the new method, was 40.6 minutes, and the standard deviation of the sample was 2.7 minutes. ---------------------- Using a 0.10 level of significance, setup a Hypothesis test. ---------------------- Can we conclude that the assembly time using the new method is faster? ---------------------------------------- What is the standard deviation for the present method? If you know that you can run a 2-sample t test. ============== Cheers, Stan H.

Probability-and-statistics/141565: one letter of the alphabet appears on each of 26 cards. you choose a card at random and then replace it. then you choose a secind card. assume Y is consonant. P(I,A) 1 solutions Answer 103268 by stanbon(57203)   on 2008-05-15 22:11:04 (Show Source): You can put this solution on YOUR website! What do you mean by P(I,A) ? Cheers, Stan H.

Polynomials-and-rational-expressions/141738: Please help me with this math problem* Find the domain of f(x)=sqrt. sign (these numbers are inside the sqrt symbol 22/x^2-4x+4 1 solutions Answer 103267 by stanbon(57203)   on 2008-05-15 22:07:28 (Show Source): You can put this solution on YOUR website! Find the domain of f(x)=sqrt. sign (these numbers are inside the sqrt symbol 22/x^2-4x+4 ---------- f(x) = sqrt[22/(x^2-4x+4)] ------------- Domain = ? That denominator must not be zero. It is zero when x^2-4x+4 = 0 (x-2)^2 = 0 x = 2 (so, 2 is excluded from the domain of f) ------------------ Also, 22/x^2-4x-4 must not be negative. It is negative when x^2-4x-2 is negative (x-2)^2 < 0 Since (x-2) is squared, it is never negative. ------------------ Conclusion: Domain is all Real Numbers except x=2 ================= ================== Cheers, Stan H.

Polynomials-and-rational-expressions/141736: Tutor can you help me please** Determine the horizontal asymptotes of: (a) f(x)=2x^2+3/4x^2+5 (b) g(x)=x+4/x^4+2x^4 (c) h(x)=x^5+2/x^3-2 1 solutions Answer 103265 by stanbon(57203)   on 2008-05-15 21:54:37 (Show Source): You can put this solution on YOUR website! Determine the horizontal asymptotes of: Procedure: 1st: Find the highest power of the variable that appears either in the numberator or in the denominator. 2nd: The horizontal asymptote is the ratio of the coefficients of that variable as they appear in the nummerator and the denominator. --------------------------------- (a) f(x)=2x^2+3/4x^2+5 1st: highest is x^2 2nd: HA: y = 4/2 = 1/2 --------------------------- (b) g(x)=x+4/x^4+2x^4 1st: highest is x^4 2nd: HA: y = 0/4 = 0 ----------------------- (c) h(x)=x^5+2/x^3-2 1st: highest = x^5 2nd: HA: y = 1/0 is undefined; therefore no HA ================= Cheers, Stan H.

Probability-and-statistics/141594: An auditor reviewed 25 oral surgery insurance claims from a particular surgical office, determining that the mean out-of-pocket patient biling above the reimbursed amount was $275.66 with a standard deviation of $78.11. (a) At the 5 percent level of significance, does this sample prove a violation of the guideline that the average patient should pay no more than $250 out-of-pocket? State your hypothesis and decision rule. (b) Is this a close decision? 1 solutions Answer 103264 by stanbon(57203)   on 2008-05-15 21:49:43 (Show Source): You can put this solution on YOUR website! An auditor reviewed 25 oral surgery insurance claims from a particular surgical office, determining that the mean out-of-pocket patient biling above the reimbursed amount was $275.66 with a standard deviation of $78.11. (a) At the 5 percent level of significance, does this sample prove a violation of the guideline that the average patient should pay no more than $250 out-of-pocket? State your hypothesis and decision rule. Ho: u <= 250 Ha: u > 250 --------------- test statistic: t(275.66) = (275.66-250)/[78.11/sqrt(45)] = 1.64256... p-value: P(1.64256 < t < 10, with df=24) = 0.05676 ------------ Conclusion: Since p-value is greater than 5%, fail to reject Ho. --------------------- (b) Is this a close decision? Yes, it is a rather close decision. ----------- Cheers, Stan H.

Probability-and-statistics/141574: This question is from textbook Applied Statistics in Business and Economics How does correlation analysis differ from regression analysis? (b) What does a correlation coefficient reveal? (c) State the quick rule for a significant correlation and explain its limitations. (d) What sums are needed to calculate a correlation coefficient? (e) What are the two ways of testing a correlation coefficient for significance? 1 solutions Answer 103263 by stanbon(57203)   on 2008-05-15 21:38:15 (Show Source): You can put this solution on YOUR website! Answered previously. Go to www.algebra.com Use the search bar to find 140829 Cheers, Stan H.

Probability-and-statistics/141592: A coin was flipped 60 times and came up heads 38 times. (a) At the .10 level of significance, is the coin biased towards heads? Show your decision rule and calculations. (b) Calculate a p-value and interpret it? 1 solutions Answer 103262 by stanbon(57203)   on 2008-05-15 21:35:52 (Show Source): You can put this solution on YOUR website! Answered previously. Go to www.algebra.com Use the search bar to find 136793 Cheers, Stan H.

Polynomials-and-rational-expressions/141734: Could you simplify these two problems? 7 over x+1 plus 3 over x-4 8 over x+4 plus 3 over 4+x Thanks, Carlos 1 solutions Answer 103261 by stanbon(57203)   on 2008-05-15 21:33:20 (Show Source): You can put this solution on YOUR website! simplify these two problems? 7 over x+1 plus 3 over x-4 (7/(x+1)) + (3/(x-4)) -------- least common denominator: (x+1)(x-4) ----------- Rewrite the fractions: [7(x-4) + 3(x+1)]/ lcm [10x-35]/[(x+1)(x-40] ============================ 8 over x+4 plus 3 over 4+x 8/(x+4) + 3/(x+4) = (8+3)/(x+4) = 11/(x+4) =============== Cheers, Stan H.

Sequences-and-series/141732: Q1.THE greatest term of series 2^1/2,3^1/3,4^1/4,.........,100^1/100 will be Q2.Sum of the solution of the equation 2.8^x+32.8^-x=65 1 solutions Answer 103260 by stanbon(57203)   on 2008-05-15 21:28:19 (Show Source): You can put this solution on YOUR website! Q1.THE greatest term of series 2^1/2,3^1/3,4^1/4,.........,100^1/100 will be Ans: 2^(1/2) ----------------------- Q2.Sum of the solution of the equation 2.8^x+32.8^-x=65 Solution #1 = -1.194661... Solution #2 = 4.0543012... ------ Add those to get the sum. ============= Cheers, Stan H.

Percentage-and-ratio-word-problems/141727: Kyle goes to a video rental store with enough money to rent 3 DVDs. He finds 3 dramas, 4 comedies, and 2 action. What is the probability that he will select all comedies? 1 solutions Answer 103259 by stanbon(57203)   on 2008-05-15 21:19:56 (Show Source): You can put this solution on YOUR website! Kyle goes to a video rental store with enough money to rent 3 DVDs. He finds 3 dramas, 4 comedies, and 2 action. What is the probability that he will select all comedies? -------------- # of ways to select 3 comedies: 4C3 = 4 ---------------- # of ways to select 3 of any kind: 9C3 = 9*8*7/1*2*3 = 84 ================= P(select 3 comedies out of the distribution) = 4/84 = 1/21 ======================== Cheers, Stan H.

Probability-and-statistics/141604: How is level of significance calculated? 1 solutions Answer 103258 by stanbon(57203)   on 2008-05-15 21:15:53 (Show Source): You can put this solution on YOUR website! How is level of significance calculated? ---------- It is arbitrary. If you want to make it difficult to reject Ho, make alpha 1% If you want to make it easier to reject Ho, make alpha 10% ================= Cheers, Stan H.

Age_Word_Problems/141728: Hi I really need help here! The sum of Elisa's ageand Ira's age is 47. Ira's age is 5 years less than three times Elia's age. How old are Ira and Elisa? 1 solutions Answer 103257 by stanbon(57203)   on 2008-05-15 21:13:02 (Show Source): You can put this solution on YOUR website! The sum of Elisa's ageand Ira's age is 47. Ira's age is 5 years less than three times Elia's age. How old are Ira and Elisa? --------------- EQUATIONS: E + I = 47 I = 3E -5 ------------- Rearrange: E +I = 47 3E -I = 5 --------- solve by any method to get: E = 13 (Elisa's age) I = 34 (Ira's age) ================= Cheers, Stan H.

Probability-and-statistics/141632: 13.30 A researcher used stepwise regression to create regression models to predict BirthRate (births per 1,000) using five predictors: LifeExp (life expectancy in years), InfMort (infant mortality rate), Density (population density per square kilometer), GDPCap (Gross Domestic Product per capita), and Literate (literacy percent). Interpret these results. BirthRates2 Regression Analysis—Stepwise Selection (best model of each size) 153 observations BirthRate is the dependent variable p-values for the coefficients Nvar LifeExp InfMort Density GDPCap Literate s Adj R2 R2 1 .0000 6.318 .722 .724 2 .0000 .0000 5.334 .802 .805 3 .0000 .0242 .0000 5.261 .807 .811 4 .5764 .0000 .0311 .0000 5.273 .806 .812 5 .5937 .0000 .6289 .0440 .0000 5.287 .805 .812 1 solutions Answer 103256 by stanbon(57203)   on 2008-05-15 21:06:57 (Show Source): You can put this solution on YOUR website! p.592 of your text shows a similar display and gives a readable interpretation of the data toward the bottom of p. 591. Please check that out. Follow that model in developing the narrative for your display. Cheers, Stan H.

Probability-and-statistics/141705: 5 cards were dealtfrom a deck of 52 cards. Wahts the probability that 4 aces show up? 1 solutions Answer 103255 by stanbon(57203)   on 2008-05-15 20:59:31 (Show Source): You can put this solution on YOUR website! 5 cards were dealt from a deck of 52 cards. Wahts the probability that 4 aces show up? -------------- # of ways to pick 4 aces: 4C4 = 1 # of ways to pick the 5th card = 48 ---------- # of ways to get a hand of 4 aces and one other card: 1*48 = 48 ---------- # of ways to pick 5 cards of any kind 52C5 = 2598960 ---------------------------- Prob(5card hand with 4 aces) = 48/2598960 = 0.0000184689... ================ Cheers, Stan H.

Numbers_Word_Problems/141718: This question is from textbook Please help me answer this word problem: The sum of two numbers is 78. If four times the smaller number is subtracted from the larger number, the result is 13. What are the two numbers? Thank you in advance for any help you can give. 1 solutions Answer 103253 by stanbon(57203)   on 2008-05-15 20:45:47 (Show Source): You can put this solution on YOUR website! The sum of two numbers is 78. If four times the smaller number is subtracted from the larger number, the result is 13. What are the two numbers? Thank you in advance for any help you can give. ------------------- EQUATION: x+ y = 78 x-4y = 13 ------------- solve by any method to get: x = 65 y = 13 ========= Cheers, Stan H.

Numbers_Word_Problems/141721: This question is from textbook A construction agency pay equipment operators $134 a day and general laborer $90 a day. If thirty two people were hired and the payroll was $3848 how may equipment operators were employed? How man general laborers? Thanks! 1 solutions Answer 103252 by stanbon(57203)   on 2008-05-15 20:40:55 (Show Source): You can put this solution on YOUR website! A construction agency pay equipment operators $134 a day and general laborer $90 a day. If thirty two people were hired and the payroll was $3848 how may equipment operators were employed? How man general laborers? -------------------- Using two equations: Let # of e.o.'s be x: Let # of g.l.'s be y: ----------------------- Quantity Equation: x + y = 32 Value Equation: 134x + 90y = 3848 ----------------------- Solve by any method to get: x = 22 y = 10 ========= Cheers, Stan H.

Quadratic_Equations/141711: Solve using the multiplication method.Please also do a check. -1/6x = -9/10 these are fractions and i do not no what i am doing.Help me please. 1 solutions Answer 103251 by stanbon(57203)   on 2008-05-15 20:35:22 (Show Source): You can put this solution on YOUR website! -1/6x = -9/10 Cross-multiply to get: -1*10 = 6x*-9 -10 = -54x -------------- Divide both sides by -54 to get: x = 10/54 x = 5/27 =========== Cheers, Stan H.