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# Recent problems solved by 'solver91311'

 Expressions-with-variables/576614: Find the normal approximation for the binomial probability that x = 4, where n = 14 and p = 0.3. Compare this probability to the value of P(x=4) found in Table 2 of Appendix B in your textbook. 1 solutions Answer 369912 by solver91311(16885)   on 2012-02-22 19:45:36 (Show Source): You can put this solution on YOUR website! Right, and someone out here giving people FREE service is just going to run right out and buy your what, $150?, textbook so they can look up the information on Table 2 of Appendix B -- JUST BECAUSE YOU ARE TOO DAMN LAZY TO PUT IN ALL THE INFORMATION. John My calculator said it, I believe it, that settles it  Angles/576611: Whats the measurement of angle c if a=74 degrees and b=89 degrees1 solutions Answer 369911 by solver91311(16885) on 2012-02-22 19:42:02 (Show Source): You can put this solution on YOUR website! Absolutely no way to tell unless the three angles are angles of the same triangle; a little piece of information that you didn't bother to share. If they are the three angles of a triangle, then use the fact that the sum of the interior angles of any triangle is . Add the measures of the two angles you know and subtract the sum from 180. John My calculator said it, I believe it, that settles it  Numbers_Word_Problems/576604: what is the sum of the first 60 consecutive odd numbers. Is this inductive reasoning or deductive reasoning1 solutions Answer 369907 by solver91311(16885) on 2012-02-22 19:36:46 (Show Source): You can put this solution on YOUR website! Use the formula for the sum of a series: Which was proven using mathematical induction. John My calculator said it, I believe it, that settles it  test/576597: How do u clear an equation of fractions and show a equivalent equation... Exp.1 solutions Answer 369906 by solver91311(16885) on 2012-02-22 19:31:51 (Show Source): You can put this solution on YOUR website! Multiply both sides by a common denominator. It doesn't even have to be the lowest common denominator, though if you find the LCD it usually makes the arithmetic a little easier than otherwise. John My calculator said it, I believe it, that settles it  Distributive-associative-commutative-properties/576598: what is the property for this question (12*18)*5=12*(18*5)1 solutions Answer 369905 by solver91311(16885) on 2012-02-22 19:29:56 (Show Source): You can put this solution on YOUR website! I'm not going to tell you directly, but I want you to notice that the Multiplication factors have different Associations on the two sides of the equals sign. John My calculator said it, I believe it, that settles it  logarithm/576592: ln(x-4)=-1 solve this.1 solutions Answer 369904 by solver91311(16885) on 2012-02-22 19:27:08 (Show Source): You can put this solution on YOUR website! Use the definition of the logarithm function and the fact that to write: Solve for : Add 4 to both sides and recall that Use your calculator for a numerical approximation if you need one. John My calculator said it, I believe it, that settles it  Equations/576593: 24+4w=1281 solutions Answer 369901 by solver91311(16885) on 2012-02-22 19:18:47 (Show Source): You can put this solution on YOUR website! Add to both sides Multiply both sides by John My calculator said it, I believe it, that settles it  Triangles/576581: One leg of a right triangle measures 5 inches; the hypotenuse measures 13 inches. What is the measure, in inches, of the other leg?1 solutions Answer 369900 by solver91311(16885) on 2012-02-22 19:17:23 (Show Source): You can put this solution on YOUR website! The hard way: Use Pythagoras so Plug in the numbers and do the arithmetic: You can do your own arithmetic. The easy way: Recognize the 5-12-13 Pythagorean Triple and report the missing side as 12 inches. John My calculator said it, I believe it, that settles it  Quadratic_Equations/576541: How do you solve for x , y , z x+5y+5z=-10 x+y+z=2 x+2y+3z=-31 solutions Answer 369893 by solver91311(16885) on 2012-02-22 18:53:05 (Show Source): You can put this solution on YOUR website! Make a 3X4 matrix of the coefficients and then use Gauss-Jordan Row Reduction to reduce the 3 rows by 3 left most columns to an identity. John My calculator said it, I believe it, that settles it  Linear-equations/576540: What's the answer for f(x)=4?1 solutions Answer 369884 by solver91311(16885) on 2012-02-22 18:18:30 (Show Source): You can put this solution on YOUR website! What do you mean by "the answer"? isn't a question in and of itself. What is the question you have regarding ? John My calculator said it, I believe it, that settles it  Polynomials-and-rational-expressions/576515: which expression is a factor of both x^2+5x+6 and x^2+2x-3? 1 solutions Answer 369880 by solver91311(16885) on 2012-02-22 17:38:28 (Show Source): You can put this solution on YOUR website! Factor the two quadratic trinomials and see if they have a factor in common. John My calculator said it, I believe it, that settles it  test/576513: 28/c = 141 solutions Answer 369878 by solver91311(16885) on 2012-02-22 17:36:39 (Show Source): You can put this solution on YOUR website! Multiply by . Multiply by John My calculator said it, I believe it, that settles it  test/576508: Please help me solve: In a rhombus ABCD, AB=10 and AC=16. Find the area of the rhombus to the nearest tenth. Thanks !!1 solutions Answer 369875 by solver91311(16885) on 2012-02-22 17:32:08 (Show Source): You can put this solution on YOUR website! Draw both diagonals, namely AC and BD and label the point of intersection X. The diagonals of a rhombus are perpendicular bisectors of each other, hence AX = XC = 8. Triangle ABX is then a right triangle with a hypotenuse of 10 and a long leg of 8 which is proportional to a 3-4-5 right triangle. 2 X 5 is 10 and 2 X 4 is 8, so the third side, namely BX must measure 2 X 3 = 6. The area of this triangle is 6 X 8 divided by 2 or 24. The four triangles formed by construction of the diagonals are all congruent since the diagonals are perpendicular bisectors (you can show SAS where the included angle is the right angle in each case) hence the total area of the rhombus is 4 times 24 or 96 square units. John My calculator said it, I believe it, that settles it  Average/576499: 2. If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour, how long will it take for both of them to paint the house together? A. 2 hours and 24 minutes B. 3 hours and 12 minutes C. 3 hours and 44 minutes D. 4 hours and 10 minutes E. 4 hours and 33 minutes 1 solutions Answer 369872 by solver91311(16885) on 2012-02-22 17:23:28 (Show Source): You can put this solution on YOUR website! If A can do a job in x time periods, then A can do of the job in 1 time period. Likewise, if B can do the same job in y time periods, then B can do of the job in 1 time period. So, working together, they can do of the job in 1 time period. Therefore, they can do the whole job in: time periods. John My calculator said it, I believe it, that settles it  Circles/576486: If my paper says to find the circumference of a circle whose raius is 4 inches, what do I do? I understand that you multiply the 4 by 2, but it also says to use 3.14 for pi. I do not understand what 3.14 has to do with the problem when it wants me to show the solution/formula. This is what I did: 2×4 = 8 inches1 solutions Answer 369869 by solver91311(16885) on 2012-02-22 17:19:12 (Show Source): You can put this solution on YOUR website! , a trancendental irrational number approximated by the rational number 3.14, is the ratio between the circumference and the diameter of any circle. The diameter of a circle is 2 times the radius, so by multiplying the radius of 4 by 2, you managed to discover the measure of the diameter, which is, indeed, 8. But in order to determine an approximate value of the circumference of the circle, that is, the distance around the circle (as opposed to the distance straight across through the center which is the diameter). So what you have to do is multiply 8 times 3.14 to get a two-decimal place accurate approximation of the measure of the circumference. By the way, the only way to represent the circumference exactly is to write John My calculator said it, I believe it, that settles it  Equations/576464: Find the equation of the line perpendicular to 2x+3y=12 and passes thru the point (-4,6)1 solutions Answer 369855 by solver91311(16885) on 2012-02-22 16:42:03 (Show Source): You can put this solution on YOUR website! Since in the given equation the and terms are on the same side of the equals sign, take the opposite of the coefficent on and divide by the coefficient on to find the slope of the line represented by the given equation. Use the point-slope form of an equation of a line to write the desired equation: where are the coordinates of the given point and is the calculated slope. Put the derived equation into either Standard or Slope-Intercept Form as desired by your teacher/professor/instructor.0 However, please note that you cannot write "the" equation of any line. You can only write "an" equation of a line. In the first place, you could just substitute the values in the point-slope form and have an equation of the desired line, or you could solve for to put it into slope-intercept form, or you could rearrange it into standard form, namely . Furthermore, for a given , , and , where describes a set of equations with an infinite number of elements, each of which graphs to the same line in . John My calculator said it, I believe it, that settles it  Probability-and-statistics/576408: : The chair of the board of director says "there is a fifty percent chance this company will earn a profit, 30 percent chance it'll break even, and a 20 percent chance that it will earn money next quarter. a) use an additional rule to find the probability that the company will not lose money next quarter. b) use the complement rule to find the probability that the company will not lose money next quarter. 1 solutions Answer 369853 by solver91311(16885) on 2012-02-22 16:36:55 (Show Source): You can put this solution on YOUR website! Since "earn a profit" and "earn money" mean the same thing in the sense that neither is equivalent to "lose money" and "break even" means "not make money" AND "not lose money", the probability that the company will not lose money is 50% plus 30% plus 20% = 100%. Since none of the listed eventualities, whose probabilties sum to 100%, are considered in the "lose money" category, the probability that the company will not lose money is given by 100% minus 0% = 100%. John My calculator said it, I believe it, that settles it  Probability-and-statistics/576412: Please help me solve this problem: Jillene wrapped 5 gifts for her 5 cousins. If she gives them out randomly, what is the probability that every cousin gets the right present? 1 solutions Answer 369845 by solver91311(16885) on 2012-02-22 15:39:08 (Show Source): You can put this solution on YOUR website! The probability of successes in trials where is the probability of success on any given trial is given by: Where is the number of combinations of things taken at a time and is calculated by You want the probability of 5 successes out of 5 trials, i.e. . The probability of success on any given trial is 1 out of 5 or 0.2 Hint: and John My calculator said it, I believe it, that settles it  Geometry_proofs/576401: how do you do 2 column geometry proofs ?1 solutions Answer 369841 by solver91311(16885) on 2012-02-22 15:32:53 (Show Source): You can put this solution on YOUR website! In column 1, write what you are given. In column 2, state the reason for the statement in column 1 as "Given" In column 1, write some statement that follows from the givens. In column 2, states the reason for the new statement by identifying the applicable Postulate, Definition, or Theorem. Continue writing new statements and supporting them with either Postulate, Definition, Theorem, or Given until you are able to state what it is you started out to prove in the first place. Never assume ANYTHING. You have to be able to conclusively prove EVERY statement you make. Some teachers are more rigorous than others. For example, in some Geometry classes you can use the ideas of congruence of angles and the equality of angle measures interchangeably. Other teachers/instructors/professors will require that knowing two angles are congruent is insufficient to be able to use the equality of their measures without the intermediate step of saying that the measures are equal because of the definition of congruence. "But how do I know what statements to make?" Use your imagination and logic to derive a strategy based on everything you have learned previously, then follow your strategy step by step. Every proof is different, so there is no generic answer to "How do I do proofs." Sorry about that, but the whole purpose of studying Geometry is to teach you how to creatively solve problems based solely on what you already know and extend that to what you are trying to find out. The only way to be successful is to practice the art and spend a good deal of time at it. Enjoy. John My calculator said it, I believe it, that settles it  Linear-equations/576396: I need step by step instructions on how to solve the following: Michael Franklin has$26,000 invested in stock A and stock B. Stock A currently sells for $30 a share and stock B sells for$70 a share. If stock B triples in value and stock A goes up 50%, his stock will be worth $60,000. How many shares of each stock does he own?1 solutions Answer 369834 by solver91311(16885) on 2012-02-22 15:17:11 (Show Source): You can put this solution on YOUR website! Solve the 2X2 system. With a -3 muliplier on the first equation, elimination works very well. John My calculator said it, I believe it, that settles it  Numbers_Word_Problems/576363: how do i solve this im still kind of stuck on this topic "eight less than five times a number is four less than four times the same number. what is the number"?1 solutions Answer 369831 by solver91311(16885) on 2012-02-22 15:11:36 (Show Source): You can put this solution on YOUR website! A number: Five times a number: Eight less than five times a number: Four less than four times a number: "is" means "equals" so: Add to both sides, then add to both sides. John My calculator said it, I believe it, that settles it  �t�e�s�t/576361: I already did 6-9. I ONLY NEED HELP WITH 1-5!!!!!!! Please show work so I can learn. LINK: https://docs.google.com/viewer?a=v&q=cache:Qja-NvrMYucJ:hwp.ocps.net/tl/steffep/steffep_Algebra%2520II%2520Honors%2520Pre-IB_files/3.1%2520Worksheet.pdf+what+were+the+headlines+after+a+mad+scientist+trained+two+eggs+worksheet&hl=en&gl=us&pid=bl&srcid=ADGEESgLsFzq6aXSdMldHfGKduxl2-0L57DQedchj_0JNx0fJ7eByuB-MZUnHXd-7hLKHx3dv-e0Gd3D61OxbssilDgVs5BLfKY3E6H-_ENLrIb5_xRfSje6BpeHItEVncVmHEIBXU9m&sig=AHIEtbS3ixkYVhKwUPaV13jHGJLin65vhA 1 solutions Answer 369817 by solver91311(16885) on 2012-02-22 14:14:11 (Show Source): You can put this solution on YOUR website!Bad address. Write out the problem and repost.  Money_Word_Problems/576357: You deposit$2000 in an account earning 6% interest compounded monthly. How much will you have in the account in 15 years? 1 solutions Answer 369816 by solver91311(16885)   on 2012-02-22 14:10:04 (Show Source): You can put this solution on YOUR website! where is the future value, is the present value or invested principal, is the decimal representation of the annualized interest rate, is the number of compounding periods per year, and is the number of years. Plug in your values. . . and do the arithmetic: . . . and do the arithmetic. I would get out the calculator if I were you, unless you are a serious glutton for punishment. John My calculator said it, I believe it, that settles it