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 Numbers_Word_Problems/656790: In testing a new drug, reseachers found that 5% of all patients using it will have a mild side effect. A random sample of 12 patients using the drug is selected. Find the probability that: (A) EXACTLY TWO will have this mild side effect. (B) AT LEAST two will have this mild side effect. ___________________________________________________ This is my work ------> n= 12 p=0.05 mean=n*p mean= 12*0.05 result is: mean=0.6 am I on the right track or off the tracks? with explaination so I can learn this and quit bugging you guys. Please help!!!! 1 solutions Answer 409644 by solver91311(16877)   on 2012-09-25 13:14:58 (Show Source): You can put this solution on YOUR website! You want the binomial distribution: 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 So for the probability of exactly 2, A little calculator work is all that is left. At least two is a little more complicated. Here you need the sum of exactly 2 plus exactly 3 plus exactly 4...and so on. A long and tedious computation indeed. Fortunately there is a simpler method. The probablity of 0 plus P(1) plus P(2), etc., all the way up to 12 is equal to 1. So if you want the sum of P(2) plus P(3), etc. all the way to 12, calculate P(0) plus P(1) and subtract from 1. So you need to punch: Into your calculator and then subtract the result from 1. Still ugly, but not so bad a mother couldn't love it. John My calculator said it, I believe it, that settles it
 Linear-systems/656788: solve each system by substitution. 1) y= x+2 y= -3x+2 4) y= -3x+2 y= -2x+21 solutions Answer 409643 by solver91311(16877)   on 2012-09-25 12:59:48 (Show Source): You can put this solution on YOUR website! In each case you have two expressions in that are equal to y. Things equal to equal things are in turn equal to each other. Set the two RHS expressions equal to each other and solve for . Then substitute back to find the value for John My calculator said it, I believe it, that settles it
 Geometry_proofs/656720: Given: LOVE is a square Prove: Diagonals bisect each other1 solutions Answer 409642 by solver91311(16877)   on 2012-09-25 12:56:07 (Show Source): You can put this solution on YOUR website! Construct the two diagonals and label the point of intersection C. Since it is a square, LO congruent LE. Since angle OLE is right (defn square), Triangle OLE is an isosceles right triangle. So angles LEO and LOE are 45 degree angles. Similarly, angles VLE, LVE, OEV, etc. are all 45 degree angles. So triangles LCE, ECV, VCO, and OCL are all congruent. Hence LC congruent CV and OC congruent CE by CPCT. QED. You can write this out as a formal proof on your own. John My calculator said it, I believe it, that settles it
 Linear_Equations_And_Systems_Word_Problems/656768: every evening jenna empties her pockets and puts her change in a jar. at the end of the week she counts her money. one week she had 40 coins, all of them dimes and quaters. when she added them up she had a total of $7.75. How many quaters did jenna have ?1 solutions Answer 409641 by solver91311(16877) on 2012-09-25 12:42:23 (Show Source): You can put this solution on YOUR website! If she had quarters, then she must have had dimes. Quarters are worth 25 cents each, so the total value of her quarters must have been cents. Likewise the total value of her dimes must have been cents. The total amount she had, namely 775 cents, is equal to the sum of the value of her quarters and the value of her dimes: John My calculator said it, I believe it, that settles it  Linear_Algebra/656775: Calculate the distance between the pointsD=(-4,5) and K=(5,9) in the Cartesian plane. Write the exact answer in radical form. 1 solutions Answer 409640 by solver91311(16877) on 2012-09-25 12:34:41 (Show Source): You can put this solution on YOUR website! Use the distance formula: where and are the coordinates of the given points. John My calculator said it, I believe it, that settles it  Surface-area/656772: if 3/5 or the a square is 135cm2 whatnis the area of the square?1 solutions Answer 409638 by solver91311(16877) on 2012-09-25 12:30:57 (Show Source): You can put this solution on YOUR website! Why are you wasting our time posting the same problem three times? John My calculator said it, I believe it, that settles it  Surface-area/656773: if 3/5 or the a square is 135cm2 what is the area of the square?1 solutions Answer 409637 by solver91311(16877) on 2012-09-25 12:30:40 (Show Source): You can put this solution on YOUR website! Why are you wasting our time posting the same problem three times? John My calculator said it, I believe it, that settles it  Surface-area/656774: if 3/5 of the a square is 135cm2 what is the area of the square?1 solutions Answer 409636 by solver91311(16877) on 2012-09-25 12:29:18 (Show Source): You can put this solution on YOUR website! Solve for John My calculator said it, I believe it, that settles it  Angles/656619: two angles are supplementary and their measures are in the ratio 1:5. find the degree measure of the smaller angle 1 solutions Answer 409560 by solver91311(16877) on 2012-09-25 00:10:57 (Show Source): You can put this solution on YOUR website! Solve for John My calculator said it, I believe it, that settles it  Probability-and-statistics/656613: A bag contains 36 red, 48 green, 22 yellow, and 19 purple blocks. You pick one block from the bag at random. Find each theoretical probability. P(green) P(purple) P(not yellow) P(green or yellow) P(yellow or not green1 solutions Answer 409559 by solver91311(16877) on 2012-09-25 00:06:20 (Show Source): You can put this solution on YOUR website! All of your probability fractions are going to have the same denominator, and that is the sum of all the blocks in the bag. Then your numerator is just the number of blocks that fit the described probability. P(green) is the number of green blocks divided by the total number of blocks, and so on. Super-Double-Plus Extra Credit: What is the difference between P(yellow or not green) and P(not green)? John My calculator said it, I believe it, that settles it  Percentage-and-ratio-word-problems/656644: Solve w/ step by step instructions: 1/3 of a number subtracted from 3/4 of the same number equals 15, what is the number?1 solutions Answer 409558 by solver91311(16877) on 2012-09-24 23:56:59 (Show Source): You can put this solution on YOUR website! A number: of a number: of the same number: LCD is 12. Multiply both sides by 12 to get rid of the fractions, then collect terms and solve like any other single variable linear equation. John My calculator said it, I believe it, that settles it  Linear-equations/656643: Find the value of x so that the line containing (4,8) and (2,-1) is perpendicular to the line containing (x,2) and (-4,5). Graph the lines.1 solutions Answer 409557 by solver91311(16877) on 2012-09-24 23:52:17 (Show Source): You can put this solution on YOUR website! Perpendicular lines have slopes that are negative reciprocals. Start with the slope formula for the first two points: Then the slope for the 2nd set of points: Take the negative reciprocal of Then set Solve for . Be very careful with your signs. Particularly the one in front of the RHS fraction. Apply it to either the numerator or the denominator as suits your fancy, but distribute it across BOTH terms of whichever you choose. John My calculator said it, I believe it, that settles it  Linear-systems/656642: 3x+4y=361 solutions Answer 409555 by solver91311(16877) on 2012-09-24 23:42:54 (Show Source): You can put this solution on YOUR website! This is a site where you ask questions -- you know, sentences that have a question mark at the end of them. It also helps to include explanations of what you are supposed to do, what is giving you difficulty, what you have tried so far, etc. If that's too much trouble for you, then it is too much trouble for us to help you. John My calculator said it, I believe it, that settles it  Polynomials-and-rational-expressions/656634: steps to solving (3x+1)/2-(4x-3)/3=11 solutions Answer 409554 by solver91311(16877) on 2012-09-24 23:40:22 (Show Source): You can put this solution on YOUR website! Multiply both sides of the equation by the LCD of the two fractions, 6 in this case. Then collect like terms and solve like any other single variable linear equation. John My calculator said it, I believe it, that settles it  Distributive-associative-commutative-properties/656625: Whitneys daily workout routine involves a total of 50 minutes of running and swimming. She burns 15 calories per minute when running and 9 calories per minute when swimming. Let m be the number of minutes she swims. Write an equation to determine the number of minutes she spends on each exercise if she burns a total of 660 caloires.1 solutions Answer 409553 by solver91311(16877) on 2012-09-24 23:38:39 (Show Source): You can put this solution on YOUR website! John My calculator said it, I believe it, that settles it  Angles/656624: If you have an isosceles triangle and your trying to find x on the two equal sides. On one side its 3x+20 the other side says 5x. How do you solve for x?1 solutions Answer 409552 by solver91311(16877) on 2012-09-24 23:33:33 (Show Source): You can put this solution on YOUR website! Hint: They are equal sides. So the expression representing the measure of one of the equal sides must be equal to the expression representing the measure of the other equal side. Once you have two expressions in the same variable that are equal to each other, you have an equation that you can solve for that variable. John My calculator said it, I believe it, that settles it  Miscellaneous_Word_Problems/656626: Evaluate the formula 36y + 12f + i when y = 2.5, f = 2, and i = 5. Find an interpretation for this formula. P.s Thank you for taking your time to read this1 solutions Answer 409550 by solver91311(16877) on 2012-09-24 23:28:16 (Show Source): You can put this solution on YOUR website! Write the formula in pencil, then erase each variable replacing it with the value given for that variable. Do the arithmetic. John My calculator said it, I believe it, that settles it  Complex_Numbers/656628: To what set does -0.234 belong?1 solutions Answer 409549 by solver91311(16877) on 2012-09-24 23:25:51 (Show Source): You can put this solution on YOUR website! John My calculator said it, I believe it, that settles it  Travel_Word_Problems/656640: If it takes 23 hours to built 50 boxes, how many hours will it take to built 62 boxes?1 solutions Answer 409548 by solver91311(16877) on 2012-09-24 23:24:07 (Show Source): You can put this solution on YOUR website! Divide 50 by 23 to get hours per box. Then multiply hours per box times 62. John My calculator said it, I believe it, that settles it  Expressions-with-variables/656636: Instructions: write and solve an equation to solve for the value of x for the square. (And it shows a picture of a square with 4x on bottom of square and 36-5x on right side of square). What I did was 4x = 36-5x, then I subtracted 4 from both sides, and got 36-9x, then I subtracted 9 from both sides and got -4. Is this correct?1 solutions Answer 409547 by solver91311(16877) on 2012-09-24 23:22:17 (Show Source): You can put this solution on YOUR website! You were good to go at . Then if you subtracted 4 from both sides you would have had which is just a bigger mess to clean up. What you actually did was subtract from both sides, leaving you with and causing you to have to do another step...bad form. Add to both sides, then multiply by And give me your address so that I can come wash your mouth out with soap if you ever say the word "subtract" again as long as you live. NEVER subtract, instead, add the opposite. Same thing with divide. NEVER divide; multiply by the reciprocal. John My calculator said it, I believe it, that settles it  �t�e�s�t/656388: Please I am very confused with this question: What type of real number is the product of an irrational number times a rational numbers? My guesses are that the product is an irrational number because for example the {{sqrt(16) * sqrt(8) = 6.72...}} which can't be express in form of a fraction which wouldn't make it a rational number Thanks1 solutions Answer 409497 by solver91311(16877) on 2012-09-24 17:56:54 (Show Source): You can put this solution on YOUR website! Seems reasonable. Let's assume the opposite is possible; that is, assume that there is a rational number (other than zero) and an irrational number such that the product of the two is rational. Let be the set of irrational numbers and let be a number such that . Let be a number such that . means that If the product , then there must be integers Substituting: Which is to say: But since the integers are closed under multiplication, must be the quotient of integers and therefore rational. This contradicts the initial assumption that is irrational. Therefore, reductio ad absurdum, the product of a rational number and an irrational number cannot be rational. John My calculator said it, I believe it, that settles it  Miscellaneous_Word_Problems/656383: How much will it cost me to drive 585 miles in a truck that gets approx. 13 miles a gallon ,if gas costs me$4.00 a gallon?1 solutions Answer 409485 by solver91311(16877)   on 2012-09-24 17:39:22 (Show Source): You can put this solution on YOUR website! Divide the distance you want to travel by the number of miles per gallon to estimte the number of gallons that will be used. Multiply by 4 bucks. Better add about 10%, just to be on the safe side. John My calculator said it, I believe it, that settles it
 Equations/656381: Translate each sentence into an equation. Then find each number. One more than the difference between 18 and seven times a number is -9.1 solutions Answer 409482 by solver91311(16877)   on 2012-09-24 17:32:02 (Show Source): You can put this solution on YOUR website! A number: Seven times a number: The difference between 18 and 7 times a number: One more than... Is: = So: One more than the difference between 18 and seven times a number is -9: Solve for John My calculator said it, I believe it, that settles it
 Exponents/656382: how do you do (4+z) to the second power1 solutions Answer 409479 by solver91311(16877)   on 2012-09-24 17:25:46 (Show Source): You can put this solution on YOUR website! Use the FOIL process. John My calculator said it, I believe it, that settles it
 Proportions/656370: a giraffe can run 32 miles per hour. What is the speed in feet per hour 1 solutions Answer 409478 by solver91311(16877)   on 2012-09-24 17:25:04 (Show Source): You can put this solution on YOUR website! There are 5280 feet in each one of those 32 miles that a giraffe can run in one hour. John My calculator said it, I believe it, that settles it
 Geometry_proofs/656367: For Each proof Identify the hypothesis, argument, and conclusion. Given: AB = BC Prove: AC = 2BC Statement Reason 1 AB = BC Given 2 AB + BC = AC Segment Addition Postulate 3 BC + BC = AC Substitution Property of Equality 4 2BC = AC Distributive Property 5 AC = 2BC Identity Do I write a hypothesis, argument, and conclusion for each statement? 1 solutions Answer 409475 by solver91311(16877)   on 2012-09-24 17:18:42 (Show Source): You can put this solution on YOUR website! The hypothesis is the what you are trying to prove. The conclusion is the last statement in your proof. For a properly completed direct proof, the hypothesis and the conclusion must be identical. Everything in between is argument. John My calculator said it, I believe it, that settles it
 Geometry_proofs/656365: if 2(x/3-1) = 9, then x= 33/2 1 solutions Answer 409472 by solver91311(16877)   on 2012-09-24 17:07:44 (Show Source): You can put this solution on YOUR website! Why did you post the same question twice? John My calculator said it, I believe it, that settles it
 Geometry_proofs/656366: if 2(x/3-1) = 9, then x= 33/2 1 solutions Answer 409471 by solver91311(16877)   on 2012-09-24 17:07:03 (Show Source): You can put this solution on YOUR website! Yeah? So what? What is your question? John My calculator said it, I believe it, that settles it
 Geometric_formulas/656360: Hi! I couldn't find the right category for my question, so I hope this is alright. I'm learning about Deductive Reasoning. The instructions are: If possible, use the Law of Detachment to make a conclusion. If it is not possible to make a conclusion, tell why. If a triangle has one obtuse angle, then it is an obtuse triangle. Triangle ABC has an acute angle.1 solutions Answer 409469 by solver91311(16877)   on 2012-09-24 17:05:31 (Show Source): You can put this solution on YOUR website! A triangle has, at most, one obtuse angle. Which is to say that any triangle has either two acute angles and one obtuse angle or three acute angles. The statement "Triangle ABC has an acute angle" is always true whether or not the triangle is obtuse. You cannot draw a conclusion about the classification of the triangle as to whether it is acute or obtuse from this statement. You can, if you wish, draw the utterly trivial conclusion that the triangle has at least one more acute angle. There are many other trivial conclusions that could be drawn, but you cannot do anything but continue to describe triangle ABC in the broadest, most general, terms. John My calculator said it, I believe it, that settles it
 Miscellaneous_Word_Problems/656351: Jarod is putting a fence around his square lot. He wants to put 20 posts on each side of his lot. This includes one post placed in each corner. How many posts will Jarod need? 1 solutions Answer 409466 by solver91311(16877)   on 2012-09-24 16:56:45 (Show Source): You can put this solution on YOUR website! If he wants 20 on each side including the corners, then there must be 18 on each side that are NOT on the corners. 4 times 18 plus the 4 that are on the corners, or more simply put 19 X 4. John My calculator said it, I believe it, that settles it
 Probability-and-statistics/656328: Hi, I really need help with this problem its been years since I took math 5 and this is driving me crazy.. can anyone explain step by step to me please? i will really appreciate it.. If i draw two cards at once (without replacement, find the following probabilities? a) at least one face card b) exactly one face card or one ace (but not one of each) c) one spade and one heart d) at least one face card or one club1 solutions Answer 409465 by solver91311(16877)   on 2012-09-24 16:55:02 (Show Source): You can put this solution on YOUR website! At least one face. Difficult to calculate straight up, so go at the problem from a different direction. If you have drawn 2 cards, then there are exactly four possible situations that could occur, namely: 2 face, 1st one is a face and the second not, the 1st one is not a face and the second one is, and then no face cards at all. The sum of these four probabilities must be 1 because they are the only four things that can happen. So, the easy way to calculate the probability of any of the first three situations occuring is to calculate the probability of the fourth situation and subtracting that value from 1. The probability that the first card drawn is NOT a face card is the number of non-face cards in a deck divided by the number of cards in the deck, or which reduces to . Now, assuming that the first card drawn was a non-face, there are now a total of 39 non-face cards left in a deck that consists of 51 cards, hence the probability on the second draw is . Since the two events as described are independent of each other, the probability of both is the product of their individual probabilities. John My calculator said it, I believe it, that settles it