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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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Quadratic_Equations/327388: Please help solve the following equation using Quadratic Form (NOT formula): 1 solutions Answer 234517 by stanbon(57290)   on 2010-07-31 10:21:21 (Show Source): You can put this solution on YOUR website! 2x^4-10x^2=-8 ------------- 2x^4 - 10x^2 + 8 = 0 x^4 - 5x^2 + 4 = 0 Factor: (x^2-4)(x^2-1) = 0 (x-2)(x+2)(x-1)(x+1)= 0 x = 2 or -2 or 1 or -1 ======================= Cheers, Stan H. =======================

Probability-and-statistics/326904: a roulette wheel has 38 slots in which the ball can land. two of the slots are green, 18 are red, 18 are black. the ball is equally likely to land in any slot. the roulette wheel is going to be spun twice and the outcome of the two spins are independant. the probability that it lands on red the first time and black the second time is: a- 0.2136 b- 0.2244 c- 0.2500 d- 0.5000 1 solutions Answer 234516 by stanbon(57290)   on 2010-07-31 10:08:52 (Show Source): You can put this solution on YOUR website! a roulette wheel has 38 slots in which the ball can land. two of the slots are green, 18 are red, 18 are black. the ball is equally likely to land in any slot. the roulette wheel is going to be spun twice and the outcome of the two spins are independant. the probability that it lands on red the first time and black the second time is: a- 0.2136 b- 0.2244 c- 0.2500 d- 0.5000 ------------- P(red) = 18/38 P(black) = 18/38 --------------------- P(red then black) = (18/38)^2 = 0.2244 ========================================== Cheers, Stan H.

Probability-and-statistics/327332: If a researcher wishes to determine whether there is evidence that the mean family income in the US is greater than 30,000 then: a) A one tailed test should be utilized b) a two tailed test should be utilized c) Either a one tailed or a two tailed test could be utilized since they are equivalent d) none of the above Please explain so I can understand Thanks. 1 solutions Answer 234515 by stanbon(57290)   on 2010-07-31 10:05:08 (Show Source): You can put this solution on YOUR website! If a researcher wishes to determine whether there is evidence that the mean family income in the US is greater than 30,000 then: The correct hypothesis setup would be: Since "equality" must ALWAYS be in the Ho statement, Ho: u <= 30,000 Ha: u > 30,000 --- The Ha statement determines the kind of test. If Ha is a "not equal to" statement, the test is 2-tail If Ha is a "<" statement, the test is left tail If Ha is a ">" statement, the test is right tail. ----- Your problem is a right tail test. ========================================== Cheers, Stan H. ========================================== a) A one tailed test should be utilized b) a two tailed test should be utilized c) Either a one tailed or a two tailed test could be utilized since they are equivalent d) none of the above Please explain so I can understand Thanks.

Coordinate-system/327381: locate the x variable and y variable in the following: a.pressure and volume b.force and weight c.distance and time 1 solutions Answer 234505 by stanbon(57290)   on 2010-07-31 08:51:29 (Show Source): You can put this solution on YOUR website! locate the x variable and y variable in the following: a.pressure and volume pressure ---------------- b.force and weight weight ---------------- c.distance and time time ----------------- Comment: Actually, either of the two named effects could be the "x" variable. Sometimes you want to solve for one; at other times you need to solve for the other. ============================== Cheers, Stan H.

Probability-and-statistics/327333: What is the z-value for a two tailed hypothesis test on a population mean when alpha is 5% a) z=1.65 b) z=1.96 c) z=2.33 d) z=2.58 Please explain so I can understand Thanks. 1 solutions Answer 234504 by stanbon(57290)   on 2010-07-31 08:45:36 (Show Source): You can put this solution on YOUR website! What is the z-value for a two tailed hypothesis test on a population mean when alpha is 5% --- Sketch a standard normal distribution curve with z as its horizontal axis. Sketch a 95% area centered on the mean value, which is 0. That leaves a left-tail of 2.5% on the left and a right-tail of 2.5% on the right. The cut-off point on the left and on the right is 1.96 standard deviations from the center at +1.96 and at -1.96. ---------------------- Cheers, Stan H. ====================== a) z=1.65 b) z=1.96 c) z=2.33 d) z=2.58

Probability-and-statistics/327354: There are four green blocks and four red blocks in a bag. a) What is the probability of selecting a red block, keeping it, then selecting another red block? b) What is the probability of selecting a green block, replacing it, then selecting a red block? 1 solutions Answer 234502 by stanbon(57290)   on 2010-07-31 08:39:12 (Show Source): You can put this solution on YOUR website! There are four green blocks and four red blocks in a bag. a) What is the probability of selecting a red block, keeping it, then selecting another red block? P(red and red) = P(red)(P(red|red) = (4/8)(3/7) = 12/56 = 6/28 ---------------------------------- b) What is the probability of selecting a green block, replacing it, then selecting a red block? P(green and red) = P(green)*P(red) = (4/8)(4/8) = 1/4 ====================== Cheers, Stan H.

Probability-and-statistics/326994: A mini license plate for a toy car must consist of two letters followed by a one digit odd number. Each letter must be a K or a Q. Repetition of letters is not permitted. 1. Use the counting principle to determine the number of points in the sample space. 2. Construct a tree diagram 3. List the sample space. 4. Determine the exact probability of creating a mini license plate with a 3. 1 solutions Answer 234427 by stanbon(57290)   on 2010-07-30 22:03:54 (Show Source): You can put this solution on YOUR website! A mini license plate for a toy car must consist of two letters followed by a one digit odd number. Each letter must be a K or a Q. Repetition of letters is not permitted. 1. Use the counting principle to determine the number of points in the sample space. # of points = 2*1*3 = 6 ----------------------------------- 2. Construct a tree diagram ------- 3. List the sample space. KQ3,kQ5,KQ7,QK3,QK5,QK7 ---------------- 4. Determine the exact probability of creating a mini license plate with a 3. 2/6=1/3 =================== Cheers, Stan H. =========================

Miscellaneous_Word_Problems/327293: A certian population obeys the latural law of decay. at a certian time,the population is 40,000. three years later the population is 38000. approximately how long does it take the population to decline from 40,000 to 20,000? 1 solutions Answer 234421 by stanbon(57290)   on 2010-07-30 21:08:39 (Show Source): You can put this solution on YOUR website! A certain population obeys the natural law of decay. at a certian time,the population is 40,000. three years later the population is 38000. approximately how long does it take the population to decline from 40,000 to 20,000? ------------------- You have two points (0,40000) and (3,38000) ---- Assuming the decay is exponential, use the model A(t) = ab^t ----- Solve for a and b ------ Using (0,40000), solve for "a": 40,000 = ab^0 a = 40,000 ---------------------- Now, A(t) = 40,000*b^t Using (3,38000), solve for "b": 38000, = 40,000*b^3 19/20 = b^3 b = 0.983 =================== Equation: A(t) = 40000*0.983^t ------------------------- When does the population decay to 20,000? 20,000 = 40000*0.983^t 0.983^t = 0.5 t = log(0.5)/log(0.983) t is approximately 40 Rounded up you would get 41 years ========= Cheers, Stan H.

Probability-and-statistics/327288: I was wondering if I could get some help with this problem. A regression was done for 20 cities with latitude as the explanatory variable (x) and average January temperature as the response variable (y). The latitude is measured in degrees and average January temperature in degrees Fahrenheit. The latitudes ranged from 26 (Miami) to 47 (Duluth) The regression equation is y = 49.4 - 0.313x The city of Miami, Florida has latitude 26 degrees with average January temperature of 67 degrees Fahrenheit. 1. What is the estimated average January temperature for Miami, and 2. based on the regression equation, what is the residual? A) Estimated January temperature is 36.88 and the residual is 11.88 B) Estimated January temperature is 41.3 and the residual is - 25.7 C) Estimated January temperature is 36.88 and the residual is - 11.88 D) Estimated January temperature is 41.3 and the residual is 25.7 I am at a loss trying to figure this out. Thanks, Dave 1 solutions Answer 234419 by stanbon(57290)   on 2010-07-30 20:53:10 (Show Source): You can put this solution on YOUR website! A regression was done for 20 cities with latitude as the explanatory variable (x) and average January temperature as the response variable (y). ------------------------------------------- The latitude is measured in degrees and average January temperature in degrees Fahrenheit. The latitudes ranged from 26 (Miami) to 47 (Duluth) The regression equation is T(x) = 49.4 - 0.313x ================================================ The city of Miami, Florida has latitude 26 degrees with average January temperature of 67 degrees Fahrenheit. 1. What is the estimated average January temperature for Miami? T(26) = 49.4-0.313(26) = 41.26 ------------------------------ 2. based on the regression equation, what is the residual? Residual = Observed-Estimated = 67-41.26 = 25.74 ------------------------------ Cheers, Stan H. ==================================== A) Estimated January temperature is 36.88 and the residual is 11.88 B) Estimated January temperature is 41.3 and the residual is - 25.7 C) Estimated January temperature is 36.88 and the residual is - 11.88 D) Estimated January temperature is 41.3 and the residual is 25.7

Probability-and-statistics/327052: Is the mean salary of accountants who have reached partnership status higher than that for accountants who are not partners? A sample of 15 accountants who have the partnership status showed a mean salary of $82,000 with a standard deviation of $5,500. A sample of 12 accountants who were not partners showed a mean of $78,000 with a standard deviation of $6,500. At the 0.05 significance level can we conclude that accountants at the partnership level earn larger salaries a. State the null and alternate hypotheses. b. State the decision rule. c. Compute the value of the test statistic. d. Compute the p-value. e. What is your decision regarding the null hypothesis? Thanks 1 solutions Answer 234415 by stanbon(57290)   on 2010-07-30 20:14:12 (Show Source): You can put this solution on YOUR website! Is the mean salary of accountants who have reached partnership status higher than that for accountants who are not partners? ----------------------- A sample of 15 accountants who have the partnership status showed a mean salary of $82,000 with a standard deviation of $5,500. ----------------------- A sample of 12 accountants who were not partners showed a mean of $78,000 with a standard deviation of $6,500. ----------------------- At the 0.05 significance level can we conclude that accountants at the partnership level earn larger salaries ------------------------------------ a. State the null and alternate hypotheses. Ho: u(part)-u(notpart) <= 0 Ha: u(part)-u(notpart) > 0 -------------------------------- b. State the decision rule. c. Compute the value of the test statistic. I ran a 2-SampleTtest and got t = 1.6998 -------------------------------------- d. Compute the p-value. P(t > 1.6998 when df = 21) = 0.0520 ----------------------------------------- e. What is your decision regarding the null hypothesis? Since the p-value is greater than 5%, fail to reject Ho. ============================================= Cheers, Stan H. ==================

Probability-and-statistics/327243: A study of Furniture Wholesales, Inc. regarding the payment of invoices reveals the time from billing until payment is received follows the normal distribution. The mean time until payment is received is 20 days and the standard deviation is 5 days. a. What percent of the invoices are paid within 15 days of receipt? b. What percent of the invoices are paid in more than 28 days? c. What percent of the invoices are paid in more than 15 days but less than 28 days? d. The management of Furniture Wholesales wants to encourage their customers to pay their monthly invoices as soon as possible. Therefore, it announced that a 2 percent reduction in price would be in effect for customers who pay within 7 working days of the receipt of the invoice. What percent of customers will earn this discount 1 solutions Answer 234404 by stanbon(57290)   on 2010-07-30 19:24:31 (Show Source): You can put this solution on YOUR website! A study of Furniture Wholesales, Inc. regarding the payment of invoices reveals the time from billing until payment is received follows the normal distribution. The mean time until payment is received is 20 days and the standard deviation is 5 days. a. What percent of the invoices are paid within 15 days of receipt? Find z(15) = (15-20)/5 = -1 P(x< 15) = P(z< -1) = 0.1587 = 15.87 ------------------------------------------------------ b. What percent of the invoices are paid in more than 28 days? Same process as above. ---------------------------- c. What percent of the invoices are paid in more than 15 days but less than 28 days? P(x> 15) = P(z> -1) = 0.8413 = 84.13% ----------------------------------------- d. The management of Furniture Wholesales wants to encourage their customers to pay their monthly invoices as soon as possible. Therefore, it announced that a 2 percent reduction in price would be in effect for customers who pay within 7 working days of the receipt of the invoice. What percent of customers will earn this discount Same process as parts "a" and "b". ==================================================== Cheers, Stan H. 0 solutions

Linear-equations/327191: use transformations of f(x)=1/x or f(x)= 1/x^2 to graph each rational function g(x)= 1/x-1 1 solutions Answer 234398 by stanbon(57290)   on 2010-07-30 18:54:19 (Show Source): You can put this solution on YOUR website! use transformations of f(x)=1/x or f(x)= 1/x^2 to graph each rational function g(x)= 1/(x-1) ----- Graph the line y = x-1 --- Take the inverse of all of the y-values to get the graph of y = 1/(x-1) --- Notice how the inverse of the line's x-intercept is a vertical asymptote for the curve. ==================== ================================================== Cheers, Stan H.

logarithm/327235: For what values of x is the following true? ln(2x+3) = 2lnx+ln3 Thanks! 1 solutions Answer 234394 by stanbon(57290)   on 2010-07-30 18:32:40 (Show Source): You can put this solution on YOUR website! ln(2x+3) = 2lnx+ln3 --- ln(2x+3) = ln(x^2) + ln(3) --- ln(2x+3) = ln[3x^2] --- Take the anti-log and solve for "x": 2x+3 = 3x^2 --- 3x^2 - 2x - 3 = 0 --- Quadratic Formula: x = [2 +- sqrt(4 - 4*3*-3)]/6 ----------- x = [2 +- sqrt(40)]/6 --- x = [2 +- 2sqrt(10)]/6 --- x = [1 +- sqrt(10)]/3 ========================= Cheers, Stan H. =================

Miscellaneous_Word_Problems/327237: Consecutive integers. The product of two consecutive integers is 5 more than their sum. Find the integers. ac+xc+aw^2+xw^2 1 solutions Answer 234393 by stanbon(57290)   on 2010-07-30 18:27:06 (Show Source): You can put this solution on YOUR website! The product of two consecutive integers is 5 more than their sum. Find the integers. ----------------- Equation: 1st: x 2nd: x+1 ---------- x(x+1) = x + x+1 + 5 x^2 + x = 2x+6 x^2 -x -6 = 0 (x-3)(x+2) = 0 x = 3 or x = -2 --- If x = 3, x+1 = 4 --- If x = -2, x+1 = -1 ======================== Cheers, Stan H.

Problems-with-consecutive-odd-even-integers/327239: can some one help me i have done this problem over and over was was told it still needs fixed a^4b^3 +2a^3b^2 -15a^2= -15a^2+2ab^2+a^4b^3 Factor out gcf a^2 a^2+(-15 〖2a〗^2b+a^(2b^3 )) a^2 * ((-15 + (2ab^2) + (a^2 * b^3)) this is how i did it and this is what i was told the GCF you found is not the greatest. You need to consider the b's in common. Then the expression inside parenthesis would have factored further. can some one help me i keep ending up with the gcf of 2 how do i to the b,s? 1 solutions Answer 234392 by stanbon(57290)   on 2010-07-30 18:22:16 (Show Source): You can put this solution on YOUR website! If you copied the problem correctly, "b" is not part of the gcf. You are correct in saying the gcf = a^2 ================== Cheers, Stan H. ==================

Equations/327241: ac+xc+aw^2+xw^2 1 solutions Answer 234391 by stanbon(57290)   on 2010-07-30 18:18:49 (Show Source): You can put this solution on YOUR website! ac+xc+aw^2+xw^2 ---- Rearrange: = ac+aw^2 + xc+xw^2 ----- = a(c+w^2) + x(x+w^2) ----- = (c+w^2)(a+x) ================ Cheers, Stan H. ================

Probability-and-statistics/327144: Question 327103: I am wondering if I could get confirmation for this problem. I think you would square the -.6 to get -.36. But I am not sure. If the correlation between a response variable Y and explanatory variable X is -0.6, what is the value that defines how much variation in Y is explained by X? A) 6% B) 36% C) - 36% D) - 6% Thanks, Maria Hi, I am having a problem with the solution to the problem. Stanbon, you said You are give r=0.6 So, r^2 = 0.36 = 36% In the question it gives x= -0.6, does that turn into a positive 0.6 somewhere to get the r=0.6? Thanks for explaining this one to me. Maria 1 solutions Answer 234390 by stanbon(57290)   on 2010-07-30 18:14:43 (Show Source): You can put this solution on YOUR website! If r = -0.6, R^2 (-0.6)^2 = 0.36 = 36% -------------------------------------- Cheers, Stan H.

Probability-and-statistics/327170: The probability that house sales will increase in the next 6 months is estimated to be .25. The probability that the interest rates on housing loans will go p is estimated to 0.7 The probability that house sales and interest rates will go up in the next 6 months is estimated to be 0.20 The probability that house ales or interest rates will increase during in the 6 months is a) .75 b).85 c) .705 d) .90 1 solutions Answer 234389 by stanbon(57290)   on 2010-07-30 18:10:53 (Show Source): You can put this solution on YOUR website! Answered this evening. 0.75 ====== Cheers, Stan H.

Probability-and-statistics/327193: A teacher has prepared a 6-item test with the first three items being true or false and the last three items being multiple-choice with four choices each. What is the probability that a student will score100% if every answer is chosen at random? 1 solutions Answer 234386 by stanbon(57290)   on 2010-07-30 17:58:38 (Show Source): You can put this solution on YOUR website! A teacher has prepared a 6-item test with the first three items being true or false and the last three items being multiple-choice with four choices each. What is the probability that a student will score 100% if every answer is chosen at random? ------- P(1st three are correct) = (1/2)^3 = 1/8 --- P(last 3 are correct) = (1/4)^3 = 1/64 ---- P(6 correct)= (1/8)(1/64) = 1/512 =================================== Cheers, Stan H. ================

Probability-and-statistics/327199: The probability that house sales will increase in the next 6 months is estimated to be 0.25 the probability that the interest rates on the housing loans will go up is estimated to 0.7 the probability that house sales and interest rates will go up in the next 6 months is estimated to be 0.20 the probably that house sales or interest rates will increase during in the 6 months is a) 0.75 b)0.85 c) 0.705 d)0.90 1 solutions Answer 234381 by stanbon(57290)   on 2010-07-30 17:22:16 (Show Source): You can put this solution on YOUR website! The probability that house sales will increase in the next 6 months is estimated to be 0.25 ------------------------------------ the probability that the interest rates on the housing loans will go up is estimated to be 0.7 ------------------------------------ the probability that house sales and interest rates will go up in the next 6 months is estimated to be 0.20 ------------------------------------ the probability that house sales or interest rates will increase during in the 6 months is --- P(hsup OR irup) = P(hsup) + P(irup) - P(hsup AND irup) --- = 0.25 + 0.70 - 0.20 --- = 0.75 ======== Cheers, Stan H. ======== a) 0.75 b)0.85 c) 0.705 d)0.90

Exponential-and-logarithmic-functions/327224: 26+2[3-(4-8)2] power 1 solutions Answer 234380 by stanbon(57290)   on 2010-07-30 17:15:21 (Show Source): You can put this solution on YOUR website! 26+2[3-(4-8)2] power --- 26 + 2[3-(-4)]^2 --- 26 + 2[7]^2 --- 26 + 2*49 --- 26 + 98 --- 124 ==================== Cheers, Stan H.

Polynomials-and-rational-expressions/327234: A golfer hits a golf ball. The height of the golf ball, y, in meters, after x seconds, is given by th equation y=-5x^2+50x 1 solutions Answer 234377 by stanbon(57290)   on 2010-07-30 17:12:08 (Show Source): You can put this solution on YOUR website! A golfer hits a golf ball. The height of the golf ball, y, in meters, after x seconds, is given by th equation y=-5x^2+50x ---- Right; now what is the question? Cheers, Stan H.

Probability-and-statistics/327228: Please explain and provide an example of a comparison distribution. What role does it play in hypothesis testing? 1 solutions Answer 234376 by stanbon(57290)   on 2010-07-30 17:10:40 (Show Source): You can put this solution on YOUR website! Use Google to search for "dependent pairs statistics". ---------------------------------------------------------- Cheers, Stan H. ========

expressions/327233: Please write an algebraic expression fir the sum of b and 11 Thank you 1 solutions Answer 234372 by stanbon(57290)   on 2010-07-30 17:05:57 (Show Source): You can put this solution on YOUR website! Please write an algebraic expression for the sum of b and 11 ------------- Ans: b+11 ============= Cheers, Stan H.

Linear-equations/327222: 3(z-2n)=-2(-z+4n) 1 solutions Answer 234369 by stanbon(57290)   on 2010-07-30 17:03:53 (Show Source): You can put this solution on YOUR website! 3(z-2n)=-2(-z+4n) ----------- 3z-6n = 2z-8n 2z+2n = 0 z+n = 0 ========================= Cheers, Stan H. =========================

Travel_Word_Problems/327219: How high was an object if it took 5 seconds to hit the ground after being dropped? h= -16t^2+s With the help of solver91311 and the way the equation should look to solve it: -16(5)^2 + s = 0 I got an answer of 400 feet. 1 solutions Answer 234348 by stanbon(57290)   on 2010-07-30 16:12:03 (Show Source): You can put this solution on YOUR website! s(t) = -16t^2 + h s(5) = 0 ft. ----------------------- -16(5)^2 + h = 0 h = 16(25) height = 400 ft ==================== Cheers, Stan H.

Money_Word_Problems/327131: Three loaves of bread and two jars of peanut butter cost cost $5.49. Four loaves of bread and three jars of peanut butter cost $7.75. Find the rice of a loaf of bread and a jar of peanut butter. 1 solutions Answer 234309 by stanbon(57290)   on 2010-07-30 13:44:43 (Show Source): You can put this solution on YOUR website! Three loaves of bread and two jars of peanut butter cost cost $5.49. 3b + 2p = 5.49 ------------------------ Four loaves of bread and three jars of peanut butter cost $7.75 4b + 3p = 7.75 ------------------------ Find the price of a loaf of bread and a jar of peanut butter. ------ Multiply thru 1st by 3 Multiply thru 2nd by 2 ------------------------------ 9b + 6p = 3*5.49 8b + 6p = 2*7.75 --------------------- Subtract 2nd from 1st and solve for "b": b = $0.97 (price of loaf of bread) ----------------- Substitute into 4b+3p = 7.75 to solve for "p": 4(0.97) + 3p = 7.75 3p = 3.87 p = $1.29 (price of peanut butter) ================================== Cheers, Stan H. ==================================

Equations/327138: solve for a. n= 353/172-a please show me steps to do this problem. Thanks 1 solutions Answer 234304 by stanbon(57290)   on 2010-07-30 13:34:29 (Show Source): You can put this solution on YOUR website! solve for a. n= 353/172-a ----- I'm going to assume the denominator is (172-a). If that is correct you get: (172-a) = 353/n ---- Then a = 172 - [352/n] --- Or a = [172n-352]/n =================== Cheers, Stan H. ===================

logarithm/327136: Need help, please! When the pH of a patient’s blood rises above 7.4, a condition called alkalosis sets in. Alkalosis can be deadly when the patient’s pH reaches 7.8. What would the hydrogen ion concentration of the patient’s blood be at that point? 1 solutions Answer 234301 by stanbon(57290)   on 2010-07-30 13:29:23 (Show Source): You can put this solution on YOUR website! When the pH of a patient’s blood rises above 7.4, a condition called alkalosis sets in. Alkalosis can be deadly when the patient’s pH reaches 7.8. What would the hydrogen ion concentration of the patient’s blood be at that point? ------------------------------------- I think we need an equation relating ion concentration and pH. ============== Cheers, Stan H.

Miscellaneous_Word_Problems/327135: Hi, I'm having trouble solving this problem and I can sure use a little help. I would really appreaciate it. Here is the problem. "The score in a landfill decreases with time as given by the function F(t)= 270 - 70 log5 (4t + 1),where t is measured in years. How much space is left when t = 1? Thanks! 1 solutions Answer 234299 by stanbon(57290)   on 2010-07-30 13:27:12 (Show Source): You can put this solution on YOUR website! F(t)= 270 - 70 log5 (4t + 1),where t is measured in years. How much space is left when t = 1? ------------------- F(1) = 270 - 70*log5(4+1) --- F(1) = 270 - 70*log5(5) ----- Note: log5(5) is 1 because 5^1 = 5. ----- F(1) = 270-70 --- F(1) = 200 ================= Cheers, Stan H. =================

Equations/327133: -5(-m + 3) = -10m + 30 1 solutions Answer 234293 by stanbon(57290)   on 2010-07-30 13:22:38 (Show Source): You can put this solution on YOUR website! -5(-m + 3) = -10m + 30 --- 5m-15 = -10m+30 --- 15m = 45 --- m = 3 ========== Cheers, Stan H.