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Recent problems solved by 'stanbon'

stanbon answered: 57314 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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Linear-systems/605100: Choose the equation of teh line that passes through the point (-4,-8) and has a slope of zero. 1 solutions Answer 381544 by stanbon(57387)   on 2012-04-29 20:33:45 (Show Source): You can put this solution on YOUR website! Choose the equation of teh line that passes through the point (-4,-8) and has a slope of zero. Plot the point. Draw a horizontal line thru the point. Notice that the line passes thru all point where y = -8. Equation: y = -8 ============= Cheers, Stan H.

test/605098: Use the log properties to condense the logarithm expression as much as possible. 4log (base b) x-2log(base b)+5log(base b)z 1 solutions Answer 381543 by stanbon(57387)   on 2012-04-29 20:32:10 (Show Source): You can put this solution on YOUR website! Use the log properties to condense the logarithm expression as much as possible. 4log (base b) x-2log(base b)y + 5log(base b)z ----- = logb(x^4*z^5/y^2) ---- Cheers, Stan H. =========

Probability-and-statistics/605097: on a single draw from a shuffled standard deck of 52 cards, find the probability of obtaining a red face card and a spade. Please show me your work on this. 1 solutions Answer 381542 by stanbon(57387)   on 2012-04-29 20:28:26 (Show Source): You can put this solution on YOUR website! on a single draw from a shuffled standard deck of 52 cards, find the probability of obtaining a red face card and a spade. ----- P(red face card) = 6/52 = 3/26 ------------ P(spade) = 13/52 = 1/4 ========================== Cheers, Stan H.

Travel_Word_Problems/605079: It takes 29.05 minutes for water to travel 4.3 miles. What is the rate in meters per hour? 1 solutions Answer 381541 by stanbon(57387)   on 2012-04-29 20:26:23 (Show Source): You can put this solution on YOUR website! It takes 29.05 minutes for water to travel 4.3 miles. What is the rate in meters per hour? ---- [4.3/29.05](miles/min)[1609 meters/1 mile][60 min/1 hr] --------- = (4.3*1609*60)/(29.05*1*1)(meters/hour) ---- = 14,289.91 (meters/hour) ===== Cheers, Stan H. ===========

Linear_Equations_And_Systems_Word_Problems/605085: a 69 inch board is cut into 2 pieces. one piece is two times the length of the other, whats the length of the pieces 1 solutions Answer 381538 by stanbon(57387)   on 2012-04-29 20:18:09 (Show Source): You can put this solution on YOUR website! a 69 inch board is cut into 2 pieces. one piece is two times the length of the other, whats the length of the pieces --- Equations: x + y = 69 x = 2y --- Substitute for "x" and solve for "y": 2y + y = 69 3y = 69 y = 23 (the smaller piece) x = 2y = 46 (the larger piece) ================================= Cheers, Stan H.

test/605087: Use the logarithmic properties to expand the logarithm expression as much as possible. Ln (x to the 5th z to the 2nd over y to the 7th) 1 solutions Answer 381537 by stanbon(57387)   on 2012-04-29 20:15:39 (Show Source): You can put this solution on YOUR website! Ln (x to the 5th z to the 2nd over y to the 7th) ---- = ln(x^5) + ln(z^2) - ln(y^7) ---- = 5ln(x) + 2ln(z) - 7ln(y) ============================== cheers, Stan H.

logarithm/605090: I was wondering how do you make this equation to the high power 64 pi divided by 2 pi 1 solutions Answer 381535 by stanbon(57387)   on 2012-04-29 20:13:29 (Show Source): You can put this solution on YOUR website! I was wondering how do you make this equation to the high power 64 pi divided by 2 pi ----- [(2^6)pi]/[2pi] = [2^5] = 32 ================================= cheers, Stan H.

Exponents-negative-and-fractional/605088: I need a real life example of where fractional exponential growth or decay would be used. 1 solutions Answer 381533 by stanbon(57387)   on 2012-04-29 20:10:37 (Show Source): You can put this solution on YOUR website! I need a real life example of where fractional exponential growth or decay would be used. Try using Google to find an example on the net. Cheers, Stan H.

Triangles/605086: Ok... So I have the angle of 25 degrees, and the height is 4.89 meters how do I find the horizontal length and/or the long side of the triangle? 1 solutions Answer 381532 by stanbon(57387)   on 2012-04-29 20:09:22 (Show Source): You can put this solution on YOUR website! Ok... So I have the angle of 25 degrees, and the height is 4.89 meters how do I find the horizontal length and/or the long side of the triangle? ---- If the 25 degree angle is opposite the 4.89 height, tan(25) = 4.89/base --- base = 4.89/tan(25) = 10.49 meters ====================================== Cheers, Stan H.

Quadratic-relations-and-conic-sections/605082: for the function f(x)=3x^2+23x-14 find the domain and range 1 solutions Answer 381531 by stanbon(57387)   on 2012-04-29 20:05:47 (Show Source): You can put this solution on YOUR website! for the function f(x)=3x^2+23x-14 find the domain and range ------- Domain: All Real Numbers ---------------------------- Range: ? Find the vertex: x = -b/(2a) = -23/(6) f(-23/6) = 3(-23/6)^2 + 23(-23/6) -14 = -58.08 Since the parabola opens up, the range is "All Real Numbers >= -58.08". ======================= ======================== Cheers, Stan H. ==========

Rational-functions/604836: I need help solving this problem. 3s/s^2-49+s/s-7 1 solutions Answer 381442 by stanbon(57387)   on 2012-04-29 09:46:13 (Show Source): You can put this solution on YOUR website! 3s/s^2-49+s/s-7 ----- [3s/[(s-7)(s+7)]] + s/(s-7) ---------------------- least common denominator: (s-7)(s+7) ---------------------- = (3s)/lcd + [s(s+7)]/lcd ---- Combine the numeraors over the lcd: = [3s + s^2+7s]/lcd ----- = [s^2+10s]/[(s-7)(s+7)] ========================= Cheers, Stan H. =========================

Mixture_Word_Problems/604822: Tim and Judy mix two kinds of feed for pedigreed dogs. They wish to make 27lbs of feed by mixing one kind worth $0.31 per pound with another worth $0.77 per pound. How many pounds of the cheaper kind should they use. 1 solutions Answer 381440 by stanbon(57387)   on 2012-04-29 09:41:58 (Show Source): You can put this solution on YOUR website! Tim and Judy mix two kinds of feed for pedigreed dogs. They wish to make 27lbs of feed by mixing one kind worth $0.31 per pound with another worth $0.77 per pound. How many pounds of the cheaper kind should they use. ---- Equation: value + value = value 0.31x + 0.77(271-x) = ?*271 ------------------ Note: You need to know the final price-per-pound of the mix. Cheers, Stan H.

Money_Word_Problems/604835: Find the amount of compound interest earned in an account that opens with $22,000, earns 6.3% interest compounded daily, and is held for 15 years 1 solutions Answer 381439 by stanbon(57387)   on 2012-04-29 09:38:46 (Show Source): You can put this solution on YOUR website! Find the amount of compound interest earned in an account that opens with $22,000, earns 6.3% interest compounded daily, and is held for 15 years ----- A(t) = P(1+(r/n))^(nt) --- A(15) = 22000(1+(0.063/365))^(365*15) = $56,597.28 ============= Cheers, Stan H.

Probability-and-statistics/604815: complete list Experiment: Baseball game Success: Mariners win P(success): 0.18 P(failure): ? 1 solutions Answer 381438 by stanbon(57387)   on 2012-04-29 09:35:35 (Show Source): You can put this solution on YOUR website! Ans: 0.82

Quadratic-relations-and-conic-sections/604834: Write an equation of the hyperbola with foci (0, -2) and (0, 2) and vertices of (0,-1 ) and (0, 1). I am stuck on this one!!!! 1 solutions Answer 381437 by stanbon(57387)   on 2012-04-29 09:33:45 (Show Source): You can put this solution on YOUR website! Write an equation of the hyperbola with foci (0, -2) and (0, 2) and vertices of (0,-1 ) and (0, 1). I am stuck on this one!!!! ------- Plot the points and sketch the hyperpola parts. --- Center is at (0,0) c = 2 a = 1 ---- c^2 = a^2 + b^2 4 - 1 = b^2 b^2 = 3 ----- Equation: -(x^2/1) + (y^2/3) = 1 ======================== Cheers, Stan H.

Rate-of-work-word-problems/604832: Tap X can fill a tank in 10 minutes and tap Y can fill it in 15 minutes. How long will it take to fill the tank if both taps are on? 1 solutions Answer 381435 by stanbon(57387)   on 2012-04-29 09:23:52 (Show Source): You can put this solution on YOUR website! Tap X can fill a tank in 10 minutes and tap Y can fill it in 15 minutes. How long will it take to fill the tank if both taps are on? ---- Tap X rate: 1/10 job/minute -- Tap Y rate: 1/15 job/minute --- Together rate: 1/x job/min ---- Equation: rate + rate = together rate 1/10 + 1/15 = 1/x Multiply thru by 30x to get: 3x + 2x = 30 5x = 30 x = 6 minutes (time to fill the tank together) ============== Cheers, Stan H. ===========

Geometry_Word_Problems/604824: What is Pythagorem Theorem? 1 solutions Answer 381434 by stanbon(57387)   on 2012-04-29 09:20:52 (Show Source): You can put this solution on YOUR website! That is a long story. Pls Google your question.

Parallelograms/604827: the volume of a rectangular parallelepiped is 2,432 cubic units, and its edges are in the ration 2:3:5.what are the dimensions of the solid? find its total area. 1 solutions Answer 381433 by stanbon(57387)   on 2012-04-29 09:13:13 (Show Source): You can put this solution on YOUR website! the volume of a rectangular parallelepiped is 2,432 cubic units, and its edges are in the ration 2:3:5.what are the dimensions of the solid? find its total area. ------------------- Equation: (2x)(3x)(5x) = 2432 30x^3 = 2432 x^3 = 81.07 --- 2x = 162.14 3x = 243.2 5x = 405.33 ---- Total surface area: A = 2[162.14*243.2+162.14*405.33+243.2*405.33] ============ Cheers, Stan H.

Miscellaneous_Word_Problems/604828: If a rocket is propelled upward from ground level at 98 m/sec, its height in meters after t seconds is given by h=-4.9t+98t. During what interval of time will the rocket be higher than 445.9m? 1 solutions Answer 381432 by stanbon(57387)   on 2012-04-29 09:08:13 (Show Source): You can put this solution on YOUR website! If a rocket is propelled upward from ground level at 98 m/sec, its height in meters after t seconds is given by h=-4.9t^2+98t. During what interval of time will the rocket be higher than 445.9m? --- Solve: -4.9t^2+98t-445.9 = 0 --- Ans: 7< t < 13 =================== Cheers, Stan H.

Points-lines-and-rays/604826: how do i work out how far something travels from speed, bearing and time? 1 solutions Answer 381431 by stanbon(57387)   on 2012-04-29 09:03:53 (Show Source): You can put this solution on YOUR website! Post one of your problems.

Permutations/604829: How many signals can be formed from 4 flags of different colors using all at a time? 1 solutions Answer 381430 by stanbon(57387)   on 2012-04-29 09:02:38 (Show Source): You can put this solution on YOUR website! How many signals can be formed from 4 flags of different colors using all at a time? ---- Ans: 4! = 24 ------------------ Cheers, Stan H.

Quadratic-relations-and-conic-sections/604831: how to find the vertex, focus, and directrix of a parabola with just the equations. 1 solutions Answer 381429 by stanbon(57387)   on 2012-04-29 09:00:52 (Show Source): You can put this solution on YOUR website! Please post one of you problems. Cheers, Stan H.

Probability-and-statistics/604825: a supplier of components to an electronic industry makes a sophisticated product which sometimes fails immediately it is used. he controls his manufacturing process so that the proportion of faulty products is supposed to be only 5%. out of 400 supplies in a batch, 26 prove to be faulty. verify the manufacturer's claim. use 0.05 level of significance. 1 solutions Answer 381428 by stanbon(57387)   on 2012-04-29 08:59:45 (Show Source): You can put this solution on YOUR website! a supplier of components to an electronic industry makes a sophisticated product which sometimes fails immediately it is used. he controls his manufacturing process so that the proportion of faulty products is supposed to be only 5%. out of 400 supplies in a batch, 26 prove to be faulty. verify the manufacturer's claim. use 0.05 level of significance. Ho: p <= 0.05 (claim) Ha: p > 0.05 ----- test proportion: 26/400 = 0.065 test statistic: z(0.065) = (0.065-0.05)/sqrt(0.05*0.95/400) = 1.3765 ------ p-value = P(z > 1.3765) = 0.0843 --- Conclusion: Since the p-value is greater than 5%, fail to reject Ho. The test results support the claim. ======= Cheers, Stan H. ==================

Probability-and-statistics/604819: find the probability of rolling two dice that add to five: P (five). 1 solutions Answer 381426 by stanbon(57387)   on 2012-04-29 08:48:02 (Show Source): You can put this solution on YOUR website! find the probability of rolling two dice that add to five: P (five). --- Ways to succeed: 1/4 ; 2/3 ; 3/2 ; 4/1 ---- # of ways to succeed: 4 # of possible outcomes: 6*6 = 36 ---- P(sum = 5) = 4/36 = 1/9 =============================== Cheers, Stan H. ===============

Probability-and-statistics/604739: Complete the list. Experiment: Guessing an answer on a 5-choice multiple-choice test Success: correct guess P(success): 1/5 P(failure): ? 1 solutions Answer 381374 by stanbon(57387)   on 2012-04-28 20:49:14 (Show Source): You can put this solution on YOUR website! Experiment: Guessing an answer on a 5-choice multiple-choice test Success: correct guess P(success): 1/5 P(failure): 4/5 ===================== Cheers, Stan H. =====================

Probability-and-statistics/604646: You have a 5-question multiple-choice test. Each question has four choices. You don’t know any of the answers. What is the experimental probability that you will guess exactly three out of five questions correctly? 1 solutions Answer 381373 by stanbon(57387)   on 2012-04-28 20:47:26 (Show Source): You can put this solution on YOUR website! You have a 5-question multiple-choice test. Each question has four choices. You don’t know any of the answers. What is the experimental probability that you will guess exactly three out of five questions correctly? --------- Binomial Problem with n = 5 and p(correct) = 1/4 ---- P(x = 3) = 5C3(1/4)^3*(3/4)^2 = binompdf(5,1/4,3) = 0.0879 =============================== Cheers, Stan H.

Probability-and-statistics/604734: For a certain game of chance, a player loses $3 with a probability of 0.3, breaks even with probability 0.3, gains $1 with probability 0.2, gains $2 with probability 0.1, and gains $3 with probability 0.1. ) A player plays the game of chance. What is the probability that a player will win some money? Show work. ) If the player plays the game many times, what is the player’s expectation? That is, what is the expected value (mean) of the probability distribution? Show work. (You are welcome to use the extra column and/or row in the table to make it easier to show the computation.) 1 solutions Answer 381372 by stanbon(57387)   on 2012-04-28 20:42:16 (Show Source): You can put this solution on YOUR website! For a certain game of chance, a player loses $3 with a probability of 0.3, breaks even with probability 0.3, gains $1 with probability 0.2, gains $2 with probability 0.1, and gains $3 with probability 0.1. ) A player plays the game of chance. What is the probability that a player will win some money? Show work. P(winning) = 0.2+0.1 = 0.3 =================================== ) If the player plays the game many times, what is the player’s expectation? E(x) = -3*0.3 + 0*3 +1*0.2 + 2*0.1 + 3*0.1 --- = -0.9 + 0 + 0.2 + 0.2 + 0.3 ---- = -0.9 + 0.7 --- = -0.2 Means the player can expect to lose 20 cents each time he plays the game. ===================== cheers, Stan H. ======================

percentage/604732: (1) 40% of what number is 350 (2) 3.4% of 260 Can you please show how to solve both. Thanks a lot Joanne 1 solutions Answer 381369 by stanbon(57387)   on 2012-04-28 20:25:29 (Show Source): You can put this solution on YOUR website! (1) 40% of what number is 350 Solve 0.4x = 350 x = 350/0.4 x = 875 ================== (2) 3.4% of 260 x = 0.034*260 x = 8.84 ================== Cheers, Stan H. ==================

Radicals/604733: Hi I have a Question! (x^(3a))/(sqrt(x^16a)) The think the answer is x^(-5a) But I do not know how to get that. thanks! 1 solutions Answer 381368 by stanbon(57387)   on 2012-04-28 20:22:50 (Show Source): You can put this solution on YOUR website! (x^(3a))/(squareroot(x^(16a))) ------------------- (x^(3a))/(x^8a) ---- = 1/x^(5a) ============== Cheers, Stan H.

logarithm/604730: Hi, I have a Question: If log x = 2log y, then x= This is the answer: y^2 But I dont know how to get that. Thanks! 1 solutions Answer 381366 by stanbon(57387)   on 2012-04-28 20:20:05 (Show Source): You can put this solution on YOUR website! If log x = 2log y, then x= This is the answer: y^2 ------- log(x) = log(y^2) x = 10^[log(y^2)] Note: This says "10 is raised to the power of 10 that gives y^2" Therefore: x = y^2 -------------------------- Cheers, Stan H.

Sequences-and-series/604718: Find the number of terms in the sequence 5,2,-1,...,-37 The next term in 3,6,12,24,48,... The 100th term in 6,8,17,26,35,... Given that the sequence 1,6,x,y,20,...is a Fibonacci sequence, find x and y. 1 solutions Answer 381365 by stanbon(57387)   on 2012-04-28 20:16:55 (Show Source): You can put this solution on YOUR website! Find the number of terms in the sequence 5,2,-1,...,-37 The next term in 3,6,12,24,48,... --- Note: It looks to me like the next term is -4 ================================================ The 100th term in 6,8,17,26,35,... a(100) = a(1)+(n-1)d = 3 + 99*(-3) = -294 =========================== Given that the sequence 1,6,x,y,20,...is a Fibonacci sequence, find x and y. x = 1+6 = 7 y = 6+7 = 13 =================== Cheers, Stan H.