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jim_thompson5910 answered: 28582 problems
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Rational-functions/730797: find the real roots of the equation 2xcubed = -16 1 solutions Answer 446839 by jim_thompson5910(28593)   on 2013-03-26 15:31:52 (Show Source): You can put this solution on YOUR website! 2x^3 = -16 x^3 = -16/2 x^3 = -8 x = (-8)^(1/3) x = -2

Average/730403: if my average is 83. i get a hundred on a test which counts as 50 % of my grade, what is my new average?! 1 solutions Answer 446673 by jim_thompson5910(28593)   on 2013-03-25 17:38:23 (Show Source): You can put this solution on YOUR website! The test is 50% of your grade. Assuming that the remaining stuff is worth 50% of your grade (100 - 50 = 50), this would mean (Grade on Test)*(Weight of Test) + (Average on the remaining stuff)*(Weight of Remaining Stuff) (1)*(0.5) + (0.83)*(0.5) 0.5 + 0.415 0.915 So the new average is now 91.5% The reason for the big jump is that you got 100% (I think that's what you meant) on the test. The test is worth 50%, which is a significant portion. So that's why your grade went up so high.

Probability-and-statistics/730393: n=10 p=0.48 q=0.52 x=8 how to calculate this: 10c8(0.48)^8(0.52)^2 please let me know. 1 solutions Answer 446663 by jim_thompson5910(28593)   on 2013-03-25 16:32:45 (Show Source): You can put this solution on YOUR website! 10 C 8 = (10!)/(8!*(10-8)!) 10 C 8 = (10!)/(8!*2!) 10 C 8 = (10*9*8!)/(8!*2!) 10 C 8 = (10*9)/(2!) 10 C 8 = (10*9)/(2*1) 10 C 8 = 45 ------------------------------------------------------- (10 C 8)(0.48)^8(0.52)^2 = (45)*(0.48)^8(0.52)^2 (10 C 8)(0.48)^8(0.52)^2 = (45)*0.0028179280429*0.2704 (10 C 8)(0.48)^8(0.52)^2 = 0.034288548426

Permutations/730373: how many groups of four can be made with five people? 1 solutions Answer 446662 by jim_thompson5910(28593)   on 2013-03-25 16:26:38 (Show Source): You can put this solution on YOUR website! You can make 5 C 4 = (5!)/(4!*(5-4)!) = 5 groups assuming that order doesn't matter.

percentage/730196: If 39 students out of 100 students choose an item, what is the percentage? 1 solutions Answer 446543 by jim_thompson5910(28593)   on 2013-03-25 04:34:52 (Show Source): You can put this solution on YOUR website! The percentage is 39% since 39/100 = 39% In general, x/100 = x%

Functions/730189: To determine if a function is odd even or neither. f(x) = x^3 - x^2. Ok substitute (-x)^3 - (-x)^2 -x^3 + x^2. How can I determine if it is odd even or neither. to me it is mixed the x^3 becomes, -x^3 and x^2 becomes -x^2 1 solutions Answer 446539 by jim_thompson5910(28593)   on 2013-03-25 03:25:08 (Show Source): You can put this solution on YOUR website! It's neither because there's a mix of odd and even exponents. If it was even, then you'd have all even exponents. If it was odd, then you'd have all odd exponents. This trick only works for polynomials. ------------------------------------------------------------------- f(x) = x^3 - x^2 f(-x) = (-x)^3 - (-x)^2 f(-x) = -x^3 - x^2 So f(x) does NOT equal f(-x) which means that f(x) is NOT even. f(x) = x^3 - x^2 -f(x) = -(x^3 - x^2) -f(x) = -x^3 + x^2 -f(x) = -x^3 + x^2 So f(-x) does NOT equal -f(x) which means that f(x) is NOT odd. Final answer: f(x) is neither even nor odd.

Exponents/730187: Please help me solve this exponents question: 2^-3 / 2^4 (In words: Two raised to negative three divide by two raised to the power of four). Kindly show the steps. Thanking you in advance. 1 solutions Answer 446538 by jim_thompson5910(28593)   on 2013-03-25 03:08:08 (Show Source): You can put this solution on YOUR website! 2^-3 / 2^4 = 2^(-3 - 4) = 2^(-7) = 1/(2^7) = 1/128 So 2^-3 / 2^4 = 1/128

Probability-and-statistics/730163: 40% of house holds have adult children living at home. A random sample of 10 households were selected at random and asked if they had adult children living at home and the number of YES responses were recorded. PLEASE HELP ME WITH THESE QUESTIONS. (a) find the probability that exactly 5 households had adult children living at home. (b) Find the probability that between 4 and 8 houses inclusive have adult children living at home. (c) Find the probability that more than 7 households have adult children living at home. 1 solutions Answer 446520 by jim_thompson5910(28593)   on 2013-03-25 00:24:04 (Show Source): You can put this solution on YOUR website! All 3 parts are dealing with the binomial distribution In each case n = 10 p = 0.4 a) P(X = k) = (n C k)*(p)^(k)*(1-p)^(n-k) P(X = 5) = (10 C 5)*(0.4)^(5)*(1-0.4)^(10-5) P(X = 5) = (10 C 5)*(0.4)^(5)*(0.6)^(10-5) P(X = 5) = (252)*(0.4)^(5)*(0.6)^5 P(X = 5) = (252)*(0.01024)*(0.07776) P(X = 5) = 0.200658 ------------------------------------------------------------------------- b) Use the same formula to find P(X = 4), P(X = 5), ..., all the way up to P(X = 8) The steps will be the same as in part a (for each individual probability). However, the value of k will change. Doing that will give you this P(X = 4)= 0.250823 P(X = 5)= 0.200658 P(X = 6)= 0.111477 P(X = 7)= 0.042467 P(X = 8)= 0.010617 Add them up to get... P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) 0.250823 + 0.200658 + 0.111477 + 0.042467 + 0.010617 0.616042 So the answer to part b) is 0.616042 ------------------------------------------------------------------------- c) Same as part b), but now we want P(X = 8),..., up to P(X = 10). P(X = 8)= 0.010617 P(X = 9)= 0.001573 P(X = 10)= 0.000105 P(X = 8) + P(X = 9) + P(X = 10) 0.010617 + 0.001573 + 0.000105 0.012295 So the answer to part c) is 0.012295

Triangles/730097: Find the distance between the points at (0,7) and (-5,13) 1 solutions Answer 446467 by jim_thompson5910(28593)   on 2013-03-24 20:56:10 (Show Source): You can put this solution on YOUR website! For more help with finding the distance, see this solver: http://www.algebra.com/algebra/homework/Length-and-distance/distance-formula.solver Solved by pluggable solver: Distance Formula The first point is (x1,y1). The second point is (x2,y2) Since the first point is (0, 7), we can say (x1, y1) = (0, 7) So , Since the second point is (-5, 13), we can also say (x2, y2) = (-5, 13) So , Put this all together to get: , , , and -------------------------------------------------------------------------------------------- Now use the distance formula to find the distance between the two points (0, 7) and (-5, 13) Plug in , , , and ========================================================== Answer: The distance between the two points (0, 7) and (-5, 13) is exactly units The approximate distance between the two points is about 7.81024967590665 units So again, Exact Distance: units Approximate Distance: units For more help with finding the distance, see this solver: http://www.algebra.com/algebra/homework/Length-and-distance/distance-formula.solver

Surface-area/730083: We are doing area and perimeter. The question is, give the dimensions of all the rectangular patios she can make with 64 feet of fencing. Use only integers for dimensions and explain. 1 solutions Answer 446453 by jim_thompson5910(28593)   on 2013-03-24 20:26:45 (Show Source): You can put this solution on YOUR website! 2L + 2W = P 2L + 2W = 64 L + W = 32 ... divide each term by 2 L = -W + 32 So if W >= 0 and W <= 32, and W is an integer, then you'll get whole number values for L. Ex: if W = 15, then L = -W + 32 L = -15 + 32 W = 17 So one possible set of dimensions is 17 by 15

Miscellaneous_Word_Problems/730068: The president of a large university wishes to estimate the average age of the students presently enrolled. From past studies, the standard deviation σ is known to be 2 years. A sample of 50 students is selected and the mean is found to be 23.3 years. a. Find the 99% confidence interval of the population. b. Find the 99% confidence interval for the population standard deviation 1 solutions Answer 446451 by jim_thompson5910(28593)   on 2013-03-24 20:21:27 (Show Source): You can put this solution on YOUR website! I'll do the first part to get you started a) I'm assuming you want the 99% confidence interval of the population mean. Let me know if it's some other variable. The sample mean is 23.3 The margin of error is E = z*sigma/sqrt(n) E = 2.576*sigma/sqrt(n) ... use a calculator to find the critical value for z (let me know if you need me to show you how to do this on a calculator) E = 2.576*2/sqrt(50) ... plug in the other given values E = 0.72860282733461 --------------------------------------------------------------------- The lower bound of the confidence interval is L = xbar - E L = 23.3 - 0.72860282733461 L = 22.5713971726653 The upper bound of the confidence interval is L = xbar + E L = 23.3 + 0.72860282733461 L = 24.0286028273347 So the 99% confidence interval for the population mean is (L, U) = (22.5713971726653, 24.0286028273347)

Percentage-and-ratio-word-problems/730075: last month a store manager decided to decrease the prices of all items by 10%. this month he increased the prices by 10%. What would be the price for a pair of pants that had cost $750 before prices were decreased last month?? Please include your solution... thank you in advance!! :) 1 solutions Answer 446448 by jim_thompson5910(28593)   on 2013-03-24 20:12:11 (Show Source): You can put this solution on YOUR website! I'm assuming that the pair of pants start out at a price of $7.50 First decrease by 10% 7.50 - 10% of 7.50 = 7.50 - 0.10*7.50 7.50 - 10% of 7.50 = 7.50 - 0.75 7.50 - 10% of 7.50 = 6.75 ------------------------------------------------------- Now increase by 10% 6.75 + 10% of 6.75 = 6.75 + 0.10*6.75 6.75 + 10% of 6.75 = 6.75 + 0.675 6.75 + 10% of 6.75 = 7.425 6.75 + 10% of 6.75 = 7.43 ------------------------------------------------------- To sum things up, you Start with 7.50 Decrease 7.50 by 10% to get 6.75 Increase 6.75 by 10% to get 7.43 So the final price is $7.43

Money_Word_Problems/729739: Matty Kaminsky owns a new Volvo. His June monthly interest was $400. The rate is 8 ½ percent. Matty's principal balance at the beginning of June is: (Use 360 days) (Points : 1) 1 solutions Answer 446239 by jim_thompson5910(28593)   on 2013-03-24 01:37:26 (Show Source): You can put this solution on YOUR website! I = Prt 400 = P*(0.085)*(30/360) ... Note: there are 30 days in june 400 = P*(0.085)*(0.08333333333333) 400 = P*0.00708333333333 400/0.00708333333333 = P 56470.5882353207 = P P = 56470.5882353207 P = 56470.59 This is the principal balance at the beginning of June

Radicals/729727: which number doesnt have a reciprocal a . -1 b . 0 c . 1/1000 d . 3 1 solutions Answer 446185 by jim_thompson5910(28593)   on 2013-03-23 17:44:59 (Show Source): You can put this solution on YOUR website! Every number but 0 has a reciprocal. Let's assume that 0 did have a reciprocal. If it did, then 0 = 0/1 turns into 1/0...BUT...dividing by zero is NOT defined. So 1/0 is undefined. This means that 0 does NOT have a reciprocal.

Probability-and-statistics/729543: Use the 68-95-99.7 rule to find the percentage of value for: Below 10 (The mean is 10, and the standard deviation is 2) must show work or formula with work Thank You sincerely, 1 solutions Answer 446018 by jim_thompson5910(28593)   on 2013-03-22 21:45:33 (Show Source): You can put this solution on YOUR website! The mean is at the exact middle of the normal distribution. So 50% of the distribution is below the mean and 50% of the distribution is above the mean. This means that the answer is 50% since the mean is 10 and we want to find the percentage below 10.

Surface-area/729534: Please let know if I solved this problem correctly. If I did not solve the problem correctly, will you please provide me with the correct formula to solve the problem. The inside of a cylindrical steel drum, including the top and bottom, is to be painted with rust-inhibiting paint. The inside diameter of the drum is 1.8 feet, and the height is 2.6 feet. What is the total surface area to be painted? Use 3.14 for pi. S= 2*(pi)*rh+2*(pi)*r^2 S= {2*(pi)*0.9*(2.6)}+(2*(pi)*0.9^2) S= (2*(pi)*2.34)+(2*(pi)*0.81) S= 4.68*(pi)+1.62*(pi) S= 14.6952+5.0868 S= 19.782 S= 19.8 ft^2 1 solutions Answer 446008 by jim_thompson5910(28593)   on 2013-03-22 21:21:53 (Show Source): You can put this solution on YOUR website! You have the correct steps and answer. Nice work.

Age_Word_Problems/729531: If a represents Ang's age five years from now, which of the following represents his age 17 years ago? A. a-22 B. a-12 C. a+12 D. a-17 E. a+22 1 solutions Answer 445977 by jim_thompson5910(28593)   on 2013-03-22 20:25:28 (Show Source): You can put this solution on YOUR website! a = age five years from now (ie his future age in 5 years) So his age right now is a-5 years old His age 17 years ago is (a-5)-17 = a-5-17 = a-22 years old which is choice A

Inequalities/729519: Simone has $40 to buy baseballs for her team's practice. Each baseball costs $3. Which inequality represents this situation A. 3b < 40 B. 3b > 40 C. 3b < 39 D. 3b < 39 1 solutions Answer 445937 by jim_thompson5910(28593)   on 2013-03-22 19:21:05 (Show Source): You can put this solution on YOUR website! They have $40 to spend. They cannot spend any more than that. So if each baseball costs $3, then b baseballs cost 3b dollars. This means Total < 40 3b < 40

expressions/729501: 3(4x+4)-2(x-4) 1 solutions Answer 445906 by jim_thompson5910(28593)   on 2013-03-22 17:57:09 (Show Source): You can put this solution on YOUR website! 3(4x+4)-2(x-4) 3(4x)+3(4)-2(x)-2(-4) 12x+12-2x+8 (12x-2x)+(12+8) 10x+20

Mixture_Word_Problems/729499: I have tried to do this word problem a couple of times, i have a very hard time just understanding where to even begin i draw a complete blank even with my notes, please help. The area of a square, in square units, with side x is given by the function A = x2. Find the area of a square patio that is 40 feet long on a side. 1 solutions Answer 445904 by jim_thompson5910(28593)   on 2013-03-22 17:29:49 (Show Source): You can put this solution on YOUR website! The side is 40 feet long, so the total area of the square is 40^2 = 1600 square feet. Using the formula, you would get A = x^2 A = 40^2 A = 1600

Polynomials-and-rational-expressions/729495: find all roots 3x^2+5x=0 1 solutions Answer 445903 by jim_thompson5910(28593)   on 2013-03-22 17:20:24 (Show Source): You can put this solution on YOUR website! 3x^2+5x=0 x(3x+5)=0 x=0 or 3x+5=0 x=0 or 3x=-5 x=0 or x=-5/3 Answer: The two roots are x=0 or x=-5/3

Probability-and-statistics/729338: If a committee of 4 is chosen from 3 boys (Jason,Carol,Billy) and 4 girls (Wanda, Nancy, Jamine, Maria), what is the probability that Billy will be the only boy in the committee ? 1 solutions Answer 445897 by jim_thompson5910(28593)   on 2013-03-22 16:24:17 (Show Source): You can put this solution on YOUR website! There is only one way to choose billy and lock him into slot 1 There are 4 C 3 = 4 ways to choose 3 girls (for the remaining three slots) So there are 1*4 = 4 ways to pick a committee with Billy as the only boy. ----------------------------------------------------------------------------- There are 7 C 4 = 35 ways to pick a committee in all. So the probability to pick a committee with Billy as the only boy is 4/35 which in decimal form is 0.11428571428571

Inequalities/729291: 2(3-2x)>10-4x 1 solutions Answer 445805 by jim_thompson5910(28593)   on 2013-03-21 22:21:08 (Show Source): You can put this solution on YOUR website! Start with the given inequality. Distribute. Subtract from both sides. Add to both sides. Combine like terms on the left side. Combine like terms on the right side. Simplify Since this inequality is FALSE, there are NO solutions

Probability-and-statistics/729288: Find the probability of having a test on a Monday. 1 solutions Answer 445798 by jim_thompson5910(28593)   on 2013-03-21 22:02:50 (Show Source): You can put this solution on YOUR website! Assuming that you can only have a test on days: Monday, Tuesday, Wednesday, Thursday, Friday and each day is equally likely to be picked, then the probability is 1/5

expressions/729255: i'm not sure how to solve it could you please explain to me.Thank You x^-3y^2 divided by x^2y^-4 Thanks 1 solutions Answer 445789 by jim_thompson5910(28593)   on 2013-03-21 21:12:01 (Show Source): You can put this solution on YOUR website! To divide, you subtract the corresponding exponents For x: -3 - 2 = -5 For y: 2 - (-4) = 2 + 4 = 6 So x^-3y^2 divided by x^2y^-4 turns into x^(-5)y^6 Then that turns into after you make the exponents positive.

Finance/729248: A particular type of bacteria grows at a rate of 49 % per day. If my dog got infected with 4000 bacterium when her leg was cut by barbed wire, how many bacterium will be present in 24 days when I finally decide I need to take the dog to the veterinarian. ___________bacterium Help 1 solutions Answer 445781 by jim_thompson5910(28593)   on 2013-03-21 20:55:32 (Show Source): You can put this solution on YOUR website! A = P(1+r)^t A = 4000(1+0.49)^t A = 4000(1.49)^t A = 4000(1.49)^24 A = 4000(14,337.4013230579) A = 57,349,605.2922316 So that's the rough number of bacterium that will be present in 24 days

Equations/729213: How many different ways can the letters in candycane be rearranged? Answer: 9!/2!2!2!=45360 Heres my question how many of the arrangements start with C? 1 solutions Answer 445769 by jim_thompson5910(28593)   on 2013-03-21 19:59:00 (Show Source): You can put this solution on YOUR website! You have C locked in the first slot, so there are 8 letters and 8 slots left So you have 8!/2!2! = 10,080 different arrangements that start with C

Graphs/729211: y=-2x+4 I don't know how to graph this 1 solutions Answer 445768 by jim_thompson5910(28593)   on 2013-03-21 19:56:44 (Show Source): You can put this solution on YOUR website! Looking at we can see that the equation is in slope-intercept form where the slope is and the y-intercept is Since this tells us that the y-intercept is .Remember the y-intercept is the point where the graph intersects with the y-axis So we have one point Now since the slope is comprised of the "rise" over the "run" this means Also, because the slope is , this means: which shows us that the rise is -2 and the run is 1. This means that to go from point to point, we can go down 2 and over 1 So starting at , go down 2 units and to the right 1 unit to get to the next point Now draw a line through these points to graph So this is the graph of through the points and

Graphs/729208: y=-4x+2 I don't know how to graph this 1 solutions Answer 445767 by jim_thompson5910(28593)   on 2013-03-21 19:54:32 (Show Source): You can put this solution on YOUR website! Looking at we can see that the equation is in slope-intercept form where the slope is and the y-intercept is Since this tells us that the y-intercept is .Remember the y-intercept is the point where the graph intersects with the y-axis So we have one point Now since the slope is comprised of the "rise" over the "run" this means Also, because the slope is , this means: which shows us that the rise is -4 and the run is 1. This means that to go from point to point, we can go down 4 and over 1 So starting at , go down 4 units and to the right 1 unit to get to the next point Now draw a line through these points to graph So this is the graph of through the points and

Rational-functions/729178: Find the slope and the equation of the line passing through (-5,4) and (-5,1) Thanks so much! 1 solutions Answer 445766 by jim_thompson5910(28593)   on 2013-03-21 19:54:02 (Show Source): You can put this solution on YOUR website! First let's find the slope of the line through the points and Note: is the first point . So this means that and . Also, is the second point . So this means that and . Start with the slope formula. Plug in , , , and Subtract from to get Subtract from to get Remember, you cannot divide by zero. So this means that the slope is undefined. Since the slope is undefined, this means that the equation of the line through the points and is .

Rational-functions/729184: Find the equation of the line that has a slope of 2 and passes through the point (1,4). THANK YOU! :) 1 solutions Answer 445765 by jim_thompson5910(28593)   on 2013-03-21 19:52:17 (Show Source): You can put this solution on YOUR website! y = mx + b y = 2x + b 4 = 2(1) + b 4 = 2 + b 4 - 2 = b 2 = b b = 2 So the answer is y = 2x + 2