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# Recent problems solved by 'solver91311'

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 Graphs/633597: find the coordinates (please) of the vertex of the graph y=|x-3|+21 solutions Answer 399040 by solver91311(17077)   on 2012-07-31 22:59:43 (Show Source): You can put this solution on YOUR website! The smallest value the function can have is 2 which happens if |x - 3| = 0 which happens when x = 3. So the vertex is (3,2) John My calculator said it, I believe it, that settles it
 Age_Word_Problems/633626: I am 33 years old John is 15 years old at what age will my age be three times that of Johns age? All I have so far is 33 + x = 3*(15 + x) 1 solutions Answer 399033 by solver91311(17077)   on 2012-07-31 22:16:06 (Show Source): You can put this solution on YOUR website! You have the correct equation. Just solve it for and then calculate Hint: Be VERY careful about your signs. Consider what it would mean if . John My calculator said it, I believe it, that settles it
 Linear-systems/633625: Which scenario has the system of linear equations: 3x+8y=30 and x+y=51 solutions Answer 399030 by solver91311(17077)   on 2012-07-31 22:10:17 (Show Source): You can put this solution on YOUR website! You're kidding, right? Do you think it is fun to waste volunteer tutors' time? John My calculator said it, I believe it, that settles it
 test/633624: √(x+1)+5=(x+4)1 solutions Answer 399029 by solver91311(17077)   on 2012-07-31 22:09:00 (Show Source): You can put this solution on YOUR website! Add -5 to both sides, then square both sides. Solve the resulting quadratic. Check both roots in the original equation since one or both could be extraneous caused by the squaring operation. John My calculator said it, I believe it, that settles it
 Proportions/633614: p/q=r/s, then p/q+t/u = r/s+t/u1 solutions Answer 399028 by solver91311(17077)   on 2012-07-31 22:05:42 (Show Source): You can put this solution on YOUR website! Fascinating. Did you actually intend to ask a question? John My calculator said it, I believe it, that settles it
 Proofs/633618: I need help completing this proof. 1. R&S, S->(P->Q), Q->P |- P<->Q 1 solutions Answer 399023 by solver91311(17077)   on 2012-07-31 21:59:29 (Show Source): You can put this solution on YOUR website! Premise Premise Premise Prove: From 1 by Conjunction Elimination From 2 by Modus Ponens From 3 and 5 by Biconditional Introduction John My calculator said it, I believe it, that settles it
 test/633617: Im confused 1 solutions Answer 399015 by solver91311(17077)   on 2012-07-31 21:29:53 (Show Source): You can put this solution on YOUR website! You certainly are. John My calculator said it, I believe it, that settles it
 Linear-equations/633558: What is the value of y if square root 3y= 6/7? Which answer is it? a. 6 over 7 square root 3 b. 12/49 c. 108/49 d. 6/71 solutions Answer 398983 by solver91311(17077)   on 2012-07-31 17:33:45 (Show Source): You can put this solution on YOUR website! Square both sides then divide both sides by 3. John My calculator said it, I believe it, that settles it
 Miscellaneous_Word_Problems/633514: How is it possible to have positive acceleration while slowing down or negative acceleration while speeding up? The hint given is that acceleration is not the same thing as speed. Help would be greatly appreciated. Thanks!1 solutions Answer 398982 by solver91311(17077)   on 2012-07-31 17:32:39 (Show Source): You can put this solution on YOUR website! This is a Physics question. Ask for help on a Physics homework help site. John My calculator said it, I believe it, that settles it
 Travel_Word_Problems/633557: how long will it take me to travel 189 miles at the speed of 75 miles per hour1 solutions Answer 398981 by solver91311(17077)   on 2012-07-31 17:29:50 (Show Source): You can put this solution on YOUR website! It depends on whether you get stopped for speeding or not. If not, divide the distance by the rate. John My calculator said it, I believe it, that settles it
 test/633556: 1 solutions Answer 398980 by solver91311(17077)   on 2012-07-31 17:28:30 (Show Source):
 Probability-and-statistics/633545: A sample of 50 11th graders were asked to select a favorite pattern out of six choices. The data list below shows what their favorite color patterns were, and the accompanying frequency table and bar graph represent this data. In the bar graph, the height of the blue-gray bar is 4, the height of the green bar is 9, and so on. Suppose that, rather than being just a bar graph, the display you see above is a relative frequency bar graph. The vertical axis of the graph will be marked off in percents, from 0 percent up to 30 percent. What will be the height of the yellow bar? 1 solutions Answer 398979 by solver91311(17077)   on 2012-07-31 17:28:04 (Show Source): You can put this solution on YOUR website! The "accompanying frequency table and bar graph"? Really? And just how are we supposed to have any idea what your data looks like? C'mon, use your head for something besides a hat rack and stop wasting our time. John My calculator said it, I believe it, that settles it
 Rational-functions/633516: Let f (x) = (5 + 2x) / (x2 - 3) and g(x) = (3.7)x. a. What is f (4)? 1 solutions Answer 398978 by solver91311(17077)   on 2012-07-31 17:24:57 (Show Source): You can put this solution on YOUR website! Substitute 4 for x and do the arithmetic. John My calculator said it, I believe it, that settles it
 logarithm/633373: dy/dx=ytanx1 solutions Answer 398854 by solver91311(17077)   on 2012-07-31 00:21:36 (Show Source): You can put this solution on YOUR website! John My calculator said it, I believe it, that settles it
 Triangles/633309: how do you solve for x when the area of the triangle is 10cm2, also it is a isosceles1 solutions Answer 398790 by solver91311(17077)   on 2012-07-30 18:37:02 (Show Source): You can put this solution on YOUR website! To what part of the triangle does refer? We don't have your book. We are not clairvoyant. Use your head for something besides a hat rack. John My calculator said it, I believe it, that settles it
 Triangles/633303: write an equation for the perimeter p of an equilateral triangle whose sides each measure c centimeter.1 solutions Answer 398789 by solver91311(17077)   on 2012-07-30 18:35:04 (Show Source): You can put this solution on YOUR website! The perimeter of any polygon is the sum of the sides. John My calculator said it, I believe it, that settles it
 Volume/633306: A square prism with a height of 3 feet has a volume of 75 cubic feet. What is the messure of one side of the square base? A. 5 G. 12.5 H. 25 I. 225 THERE ALL FEET BTW.1 solutions Answer 398788 by solver91311(17077)   on 2012-07-30 18:32:38 (Show Source): You can put this solution on YOUR website! The volume divided by the height gives you the area of the square base. The measure of a side of the square base is the (positive) square root of the area. John My calculator said it, I believe it, that settles it
 Probability-and-statistics/633307: Four key marketing decision variable are price (P) advertising (A) transportations (T) and product quality (Q). Consumer demand (D) is influenced by theses variables. The Simplest model for describing demand in terms of these variables is: D-k-pP+ aA+tT +qQ where k, p,t, and q are constants. Discuss the assumptions of this model. Specifically, how does each variable affect demand? How do the variables influence each other? What limitations might this model have? How can it be improved?1 solutions Answer 398787 by solver91311(17077)   on 2012-07-30 18:31:07 (Show Source): You can put this solution on YOUR website! This is not an algebra problem; it is an Economics problem. Find yourself a nice little Economics Homework Help site and ask your question there. John My calculator said it, I believe it, that settles it
 �t�e�s�t/633244: Write the standard form of the equation of the parabola that has the indicated vertex and whose graph passes through the given point. Vertex: (5, -1); point: (8, 17) 1 solutions Answer 398783 by solver91311(17077)   on 2012-07-30 18:04:52 (Show Source): You can put this solution on YOUR website! Consider the function If is a point on the function, then the coordinates of the point must satisfy the function, hence: Also, since is the vertex and is a point on the graph, symmetry says that is also a point on the graph. That leads us to: and Therefore, solve the 3X3 system: John My calculator said it, I believe it, that settles it
 �t�e�s�t/633271: I have a question on a algebra packet that I don't quite understand. It asks "Which pair of lines represent the system of equations with a solution of (-4, 4)" How do I figure this out?1 solutions Answer 398776 by solver91311(17077)   on 2012-07-30 16:54:57 (Show Source): You can put this solution on YOUR website! Take each pair of equations and substitute -4 for x and 4 for y. Do the arithmetic. The result will be two true statements for one of the pairs of equations. That pair is your answer. John My calculator said it, I believe it, that settles it
 test/633261: If the total cost of x apple is b cents, what is a general formula for the cost, in cents of y apple 1 solutions Answer 398774 by solver91311(17077)   on 2012-07-30 16:48:53 (Show Source): You can put this solution on YOUR website! If apples cost cents, then one apple costs cents, and then apples cost cents. John My calculator said it, I believe it, that settles it
 Radicals/633266: i have a radical equation where 3 is on the outside of it and 95 is in the inside and i need help solving it1 solutions Answer 398769 by solver91311(17077)   on 2012-07-30 16:41:20 (Show Source): You can put this solution on YOUR website! Where is the equals sign and what is on the other side of the equals sign. Is the 3 a radical index or a coefficient? John My calculator said it, I believe it, that settles it
 Trigonometry-basics/633260: for what angles ( in degrees) does sin theta approximately equal theta? describe why mathematically.1 solutions Answer 398768 by solver91311(17077)   on 2012-07-30 16:39:20 (Show Source): You can put this solution on YOUR website! For very small angles. Which is a L'Hôpital indeterminate form, so: John My calculator said it, I believe it, that settles it
 Age_Word_Problems/633263: Lily is 10 years old. Three year ago, she was 2 years older than her brother. How old is Lily 's brother now? 1 solutions Answer 398764 by solver91311(17077)   on 2012-07-30 16:25:23 (Show Source): You can put this solution on YOUR website! If she was 2 years older than her brother three years ago, she is still two years older than her brother, and she will always be two years older than her brother (until one of them dies, anyway). John My calculator said it, I believe it, that settles it
 �t�e�s�t/633248: The height y (in feet) of a punted football is given by y = − 16/2025^x2 + 9/5x + 1.5 where x is the horizontal distance (in feet) from the point at which the ball is punted. (a) How high is the ball when it is punted? (b) What is the maximum height of the punt? (Round your answer to two decimal places.) (c) How long is the punt? (Round your answer to two decimal places.) ft 1 solutions Answer 398763 by solver91311(17077)   on 2012-07-30 16:23:24 (Show Source): You can put this solution on YOUR website! (a) the constant term is the initial height. (b) the horizontal distance traveled at the time when the ball is at maximum height is the value of the independent variable at the vertex of the graph of the parabola described by the function. The x-coordinate of the vertex of a parabola where the function is in form is given by . The maximum height is then the value of the function at that point. You can do your own arithmetic. (c) The punt is over when the ball hits the ground, i.e. when the height is zero. Set the function equal to zero and solve the quadratic. Discard any negative root. John My calculator said it, I believe it, that settles it
 �t�e�s�t/633238: Working together, two people can complete a task in 9 hours. Working alone, one person takes 4 hours longer than the other to complete the task. How long would it take for each person to complete the task? (Round your answers to one decimal place.) slower person = . hr faster person = hr 1 solutions Answer 398759 by solver91311(17077)   on 2012-07-30 15:58:31 (Show Source): You can put this solution on YOUR website! Let represent the time taken by the more efficient worker (#1), then is the time taken by the other guy (#2). #1 can do the whole job in hours, so he can do of the job in one hour. Likewise #2 can do of the job in one hour. Working together, they can do of the job in 1 hour, but we are given that they can do the whole job together in 9 hours, so: Apply the LCD (the product of the two denominators in the LHS) to add the two rational expressions in the left. Then cross-multiply and collect terms. Solve the resulting quadratic in to get #1's time and calculate to get #2's time. John My calculator said it, I believe it, that settles it
 Trigonometry-basics/633154: How do I solve sin(x)-sin(2x)+2cos(x)-1=01 solutions Answer 398747 by solver91311(17077)   on 2012-07-30 15:13:05 (Show Source): You can put this solution on YOUR website! Use To write: Collect the terms in the LHS and the rest in the RHS: Factor out Multiply both sides by John My calculator said it, I believe it, that settles it
 Quadratic_Equations/633220: A carpenter is building a rectangular room with a fixed perimeter of 340 ft. what dimensions would yield the maximum area? what is the maximum area? The length that would yield the maximum area is_____ft.1 solutions Answer 398744 by solver91311(17077)   on 2012-07-30 15:00:03 (Show Source): You can put this solution on YOUR website! The perimeter of a rectangle is given by: Which can be rearranged to: The area, given by length times width, can then be represented as a function of the width for a given perimeter thus: This function is a quadratic that can be put into standard form thus: The graph of such a quadratic is a parabola that is concave down (the lead coefficient is less than zero), meaning that the vertex represents a maximum. The coordinate of the vertex of this parabola is given by: Therefore the width that gives the greatest area rectangle for any given perimeter is the perimeter divided by 4. The two widths are therefore half of the perimeter, hence the two lengths must also be half of the perimeter, and therefore the shape is a square. Divide your given perimeter by 4 and then square the result. John My calculator said it, I believe it, that settles it
 test/633201: Answer each of the following questions as concisely as possible. Show all necessary working (including graphs, if necessary) and steps to obtain maximum marks. Scan your answer sheet as a single document and submit electronically. Question 1: Introduction to Probability Distributions The following probability distributions of job satisfaction scores for a sample of information systems (IS) senior executives and IS middle managers range from a low of 1 (very dissatisfied) to a high of 5 (very satisfied). What is the expected value of the job satisfaction score for senior executives? [7 marks] What is the expected value of the job satisfaction score for middle managers? [7 marks] Compute the variance of job satisfaction scores for executives and middle managers. [7 marks] Compute the standard deviation of job satisfaction scores for both probability distributions. [7 marks] Compare the overall job satisfaction of senior executives and middle managers. [7 marks] Question 2: Binomial Probability Distribution A Harris Interactive survey for InterContinental Hotels & Resorts asked respondents, “When ravellers internationally, do you generally venture out on your own to experience culture, or stick with your tour group and itineraries?” The survey found that 23% of the respondents stick with their tour group (USA Today, January 21, 2004). In a sample of six international ravellers, what is the probability that two will stick with their tour group? In a sample of six international ravellers, what is the probability that at least two will stick with their tour group? [7 marks] In a sample of 10 international travelers, what is the probability that none will stick with their tour group? [7 marks] Question 3: The Normal Distribution Assume that the test scores from a college admissions test are normally distributed, with a mean of 450 and a standard deviation of 100. (a) What percentage of the people taking the test score between 400 and 500? [7 marks] (b) Suppose someone receives a score of 630. What percentage of the people taking the test score better? What percentage score worse? [7 marks] (c) If a particular university will not admit anyone scoring below 480, what percentage of the persons taking the test would be acceptable to the university? [7 marks] Question 4: Sampling Distribution BusinessWeek surveyed MBA alumni 10 years after graduation (BusinessWeek, September 22, 2003). One finding was that alumni spend an average of $115.50 per week eating out socially. You have been asked to conduct a follow-up study by taking a sample of 40 of these MBA alumni. Assume the population standard deviation is$35. (a) Show the sampling distribution of x ̅, the sample mean weekly expenditure for the 40 MBA alumni. [7 marks] (b) What is the probability the sample mean will be within $10 of the population mean? [8 marks] (c) Suppose you find a sample mean of$100. What is the probability of finding a sample mean of \$100 or less? Would you consider this sample to be an unusually low spending group of alumni? Why or why not? [8 marks] 1 solutions Answer 398716 by solver91311(17077)   on 2012-07-30 14:11:50 (Show Source): You can put this solution on YOUR website! I can see that you just cut and pasted your entire assignment. This site doesn't work that way. Ask about one problem only. Tell us what it is that is giving you difficulty. Show the work you have done so far. What you have done is indicative of a person who has no real desire to learn about mathematics, but that just wants to get their homework done for them for free. Not happening. John My calculator said it, I believe it, that settles it
 Travel_Word_Problems/633107: Here's another word problem. Two children weighing 65 pounds and 45 pounds respectively are on opposite ends of an 11 foot board. Where must the point of support be placed if the board is to be balanced? (Neglect the weight of the board)1 solutions Answer 398715 by solver91311(17077)   on 2012-07-30 14:06:56 (Show Source): You can put this solution on YOUR website! This is a Physics problem. Ask for help on a Physics homework help site. John My calculator said it, I believe it, that settles it