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# Recent problems solved by 'stanbon'

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

 Matrices-and-determiminant/445538: Use 12-hr clock arithmetic to answer the question Find 7 + 8 1 solutions Answer 306910 by stanbon(57214)   on 2011-05-05 14:25:19 (Show Source): You can put this solution on YOUR website!Use 12-hr clock arithmetic to answer the question Find 7 + 8 ------ In clock arithmetic twelve is equivalent to zero ---- 7+8 = 12 + 3 = 0+3 = 3 ============================ Cheers, Stan H. ===========
 Mixture_Word_Problems/445544: Find how many quarts of 6% butterfat milk and 3% butterfat milk should be mixed to yield 30 quarts of 5% butter milk1 solutions Answer 306909 by stanbon(57214)   on 2011-05-05 14:21:01 (Show Source): You can put this solution on YOUR website!Find how many quarts of 6% butterfat milk and 3% butterfat milk should be mixed to yield 30 quarts of 5% butter milk ----- Equation: fat + fat = fat 0.06x + 0.03(30-x) = 0.05*30 ---- Multiply thru by 100. ---- 6x + 3*30 - 3x = 5*30 --- 3x = 2*30 --- x = 20 quarts (amt. of 6% butterfat milk needed) ===================== Cheers, Stan H. =====================
 Matrices-and-determiminant/445540: Is the relation below a function? {(x,y) is such that y=x^3}1 solutions Answer 306908 by stanbon(57214)   on 2011-05-05 14:16:49 (Show Source): You can put this solution on YOUR website!Is the relation below a function? {(x,y) is such that y=x^3} ------- It is a function because for every x value there is one y value. ================== Cheers, Stan H.
 Radicals/445541: Rewrite (3x)2/3 as a radical expression 1 solutions Answer 306907 by stanbon(57214)   on 2011-05-05 14:14:29 (Show Source): You can put this solution on YOUR website!Rewrite (3x)^(2/3) as a radical expression. ----------------- cbrt[(3x)^2] ---- = cbrt[9x^2] --------------- Cheers, Stan H. ===============
 Length-and-distance/445542: Find the distance between the points (5, 2) and (7, 7)1 solutions Answer 306905 by stanbon(57214)   on 2011-05-05 14:09:36 (Show Source): You can put this solution on YOUR website!Find the distance between the points (5, 2) and (7, 7) --------------- dist = sqrt[(7-5)^2 + (7-2)^2] --- dist = sqrt[4+25] --- dist = sqrt(29) ================== Cheers, Stan H. ===========
 expressions/445529: 2y/x+((2x-y)/y)1 solutions Answer 306902 by stanbon(57214)   on 2011-05-05 14:05:38 (Show Source): You can put this solution on YOUR website![2y/x]+((2x-y)/y) --------- lcm = xy ---- Rewrite each fraction with the lcm as its denominator: [(2y^2/lcm] + [(2x^2-xy)/lcm] --------------- Combine the numerators over the lcm: --------------- = [2y^2-xy+2x^2]/xy ---- Cheers, Stan H. ========
 Geometry_Word_Problems/445535: how do you find the value of y when x=5 . y=5x+2 ?1 solutions Answer 306899 by stanbon(57214)   on 2011-05-05 13:59:24 (Show Source): You can put this solution on YOUR website!how do you find the value of y when x=5 . y=5x+2 ? --- Solve for "y": y = 5*5+2 = 27 =================== Cheers, Stan H.
 Polynomials-and-rational-expressions/445534: 2d^2 + 5d - 3 = 01 solutions Answer 306897 by stanbon(57214)   on 2011-05-05 13:57:31 (Show Source): You can put this solution on YOUR website!2d^2 + 5d - 3 = 0 -------------------- Use Inverse FOIL to factor: 2d^2 + 6d-d -3 = 0 --- 2d(d+3)-(d+3) = 0 --- (d+3)(2d-1) = 0 --- d = -3 or d = 1/2 ======================= Cheers, Stan H.
 Unit_Conversion_Word_Problems/445532: The length of a rectangle is 5 more than its width. If perimeter is 58ft, what are length and width?1 solutions Answer 306895 by stanbon(57214)   on 2011-05-05 13:54:05 (Show Source): You can put this solution on YOUR website!The length of a rectangle is 5 more than its width. If perimeter is 58ft, what are length and width? ------------------- Let width be "W". Then length = "W+5". ------- Perimeter = 2(width + length) 58 = 2(W + W+5) 29 = 2W+5 2W = 24 W = 12 ft (width) --- length = W+5 = 17 ft ======================== Cheers, Stan H.
 Money_Word_Problems/445530: If \$3000 is deposited in a bank account paying 4% compounded monthly, what amount will be in the account after 4 years? How much interest will be earned during the 4 years? The amount after 4 years will be \$________.1 solutions Answer 306892 by stanbon(57214)   on 2011-05-05 13:47:32 (Show Source): You can put this solution on YOUR website!If \$3000 is deposited in a bank account paying 4% compounded monthly, what amount will be in the account after 4 years? How much interest will be earned during the 4 years? ----------- A(t) = P(1+(r/n))^(nt) ------ A(4) = 3000(1+(0.04/12))^(12*4) ------ A(4) = 3000(1.1732) --- A(4) = \$3519.60 ------------------------- Amount of interest = \$519.60 ------------------------- ================= Cheers, Stan H. ===================
 Probability-and-statistics/445484: evaluate: C 8 3 Need help in how to calculate this.1 solutions Answer 306890 by stanbon(57214)   on 2011-05-05 12:53:19 (Show Source): You can put this solution on YOUR website!evaluate: C8 3 ----- = (8*7*6)/(1*2*3) ----- = 56 ============== Cheers, Stan H. ==============
 test/445523: prime factor of 2401 solutions Answer 306889 by stanbon(57214)   on 2011-05-05 12:50:04 (Show Source): You can put this solution on YOUR website! prime factor of 240 --- 240 = 2*120 = 2*2*60 = 2*2*2*30 = 2*2*2*2*15 = 2^4*3*5 ============== Cheers, Stan H. ==============
 Complex_Numbers/445522: 6 + 2i/3+i1 solutions Answer 306888 by stanbon(57214)   on 2011-05-05 12:47:21 (Show Source): You can put this solution on YOUR website!(6 + 2i)/(3+i) ---- Multiply numerator and denominator by (3-i) to get: [(6+2i)(3-i)]/[9+1] ---- = [18-6i+6i+2]/10 ---- = [20]/10 ---- = 2 =========== Cheers, Stan H. ===========
 Complex_Numbers/445518: i^7851 solutions Answer 306887 by stanbon(57214)   on 2011-05-05 12:44:10 (Show Source): You can put this solution on YOUR website!i^785 ------------ 785 = (4*196 + 1) ----- i^(4*196+1) = (i^4)^196*(i)^1 --- = 1^196 *i --- = 1*i ---- = i ======== Cheers, Stan H. ===============
 Complex_Numbers/445521: (2 - i)(5 + 2i)1 solutions Answer 306884 by stanbon(57214)   on 2011-05-05 12:39:12 (Show Source): You can put this solution on YOUR website!(2 - i)(5 + 2i) --- = 10+4i-5i-2i^2 --- = 10 -i +2 --- = 12-i ================= Cheers, Stan H.
 Probability-and-statistics/445516: A safety light is designed so that the times between flashes are normally distributed with a mean of 4.00 seconds and a standard deviation of .50 seconds. a. Find the probability that an individual time is greater than 4.50 seconds b. Find the probability that the mean for 50 randomly selected times is greater than 4.50 seconds c. Is part a or b more significant (being light) due to the importance of a sample OR SINGLE strobe? 1 solutions Answer 306883 by stanbon(57214)   on 2011-05-05 12:36:17 (Show Source): You can put this solution on YOUR website!A safety light is designed so that the times between flashes are normally distributed with a mean of 4.00 seconds and a standard deviation of .50 seconds. a. Find the probability that an individual time is greater than 4.50 seconds ---- z(4.5) = (4.5-4)/0.5 = 1 P(x >4.5) = P(z > 1) = 0.1587 ------------------------------------- b. Find the probability that the mean for 50 randomly selected times is greater than 4.50 seconds z(4.5) = (4.5-4)/[0.5/sqrt(50)} = 7.0711 P(x > 4.5) = P(z > 7.0711) = 7.737x10^-13 ------------------------------------- c. Is part a or b more significant (being light) due to the importance of a sample OR SINGLE strobe? I don't understand that question. =========================== Cheers, Stan H.
 Probability-and-statistics/445511: Given an experiment of drawing two cards from a standard deck of 52 where the first card is not replaced before the second card is drawn:1 solutions Answer 306879 by stanbon(57214)   on 2011-05-05 12:26:41 (Show Source): You can put this solution on YOUR website! Given an experiment of drawing two cards from a standard deck of 52 where the first card is not replaced before the second card is drawn: -------------------------- What is the question? Cheers, Stan H.
 Quadratic_Equations/445514: What is the answer to x^2-7x-8=01 solutions Answer 306877 by stanbon(57214)   on 2011-05-05 12:24:17 (Show Source): You can put this solution on YOUR website!What is the answer to x^2-7x-8=0 ------------ Factor using inverse FOIL: x^2-8x+x-8 = 0 Factor: x(x-8)-(x-8) = 0 ---- (x-8)(x-1) = 0 X = 8 or x = 1 =================== Cheers, Stan H. =========
 Probability-and-statistics/445317: Suppose the population of a country changes due to births, deaths, and immigration. The annual birth rate is 3.5 births per 1000 people, the death rate is 7.2 deaths per 1000 people, the immigration rate into the country is 9.3 per 1000, and the emigration rate out of the country is 4.6 per 1000. Find the net growth rate as a percentage.1 solutions Answer 306788 by stanbon(57214)   on 2011-05-04 22:17:19 (Show Source): You can put this solution on YOUR website!Suppose the population of a country changes due to births, deaths, and immigration. -------------------------------- The annual birth rate is 3.5 births per 1000 people, the death rate is 7.2 deaths per 1000 people, the immigration rate into the country is 9.3 per 1000, and the emigration rate out of the country is 4.6 per 1000. Find the net growth rate as a percentage. --- (3.5+7.2+9.3-4.6) = 15.4 births per 1000 ============================================ Cheers, Stan H.