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solver91311 answered: 16856 problems
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Permutations/486053: A class containing 25 students 12 of them are female in how many ways can we select a group of 6 males 1 solutions Answer 332313 by solver91311(16868)   on 2011-08-25 14:24:51 (Show Source): You can put this solution on YOUR website! That would depend on whether the generally accepted assumption that any person who is not female is male (or vice versa) is actually true. Accepting this initial premise leads us to the conclusion that there are 13 males in the class, and we want to calculte 13 pick 6. is the number of combinations of things taken at a time, also expressed " pick ", and is calculated by You can do the rest of the arithmetic yourself. John My calculator said it, I believe it, that settles it

Linear-equations/486047: find the equation of the line having the given slope, and containing the given point. m=9 (6,7) the equation of the line is y=? 1 solutions Answer 332308 by solver91311(16868)   on 2011-08-25 13:59:49 (Show Source): You can put this solution on YOUR website! You cannot find the equation of a line since there are many ways to describe the set of ordered pairs that comprise any given line. You can, however, determine an equation whose solution set is a set of ordered pairs that comprise a line with the given characteristics. Use the point-slope form. where are the coordinates of the given point and is the given slope. It looks from the last line of your question that the slope-intercept form () is the desired form of the answer. So distribute the across , add to both sides, and combine . John My calculator said it, I believe it, that settles it

Parallelograms/486006: how do you tell if opposite sides of a parallelogram are congruent in coordinate proofs? 1 solutions Answer 332305 by solver91311(16868)   on 2011-08-25 12:28:57 (Show Source): You can put this solution on YOUR website! Use the Euclidian Parallel Postulate and the proof of its converse. John My calculator said it, I believe it, that settles it

Linear-equations/486001: let (x1, y1)=(-6,-3) and (x2,y2)=(-4,5). Find y2-y1/x2-x1 and y1-y2/x1-x2 are the results the same? 1 solutions Answer 332304 by solver91311(16868)   on 2011-08-25 12:18:20 (Show Source): You can put this solution on YOUR website! Better than that, let and . Factor -1 from : Likewise: So, by substitution: . But since . But . also. Therefore: John My calculator said it, I believe it, that settles it

Numbers_Word_Problems/485716: a number is divided by 3 then 14 is added to the quotient, the result is 33, what is the number? 1 solutions Answer 332149 by solver91311(16868)   on 2011-08-24 19:15:35 (Show Source): You can put this solution on YOUR website! Solve for . John My calculator said it, I believe it, that settles it

Triangles/485705: One side of an equilateral triangle is 6 cm. Whats the measure of an altitude of the triangle? 1 solutions Answer 332148 by solver91311(16868)   on 2011-08-24 19:13:33 (Show Source): You can put this solution on YOUR website! If you draw an altitude in an equilateral triangle, you create a 30-60-90 triangle, the sides of which are in proportion: where is the measure of the hypotenuse of the 30-60-90 triangle, and therefore the measure of the side of the equilateral triangle. John My calculator said it, I believe it, that settles it

Numbers_Word_Problems/485700: my number is in the tens place it's 8 more than the ones place, it does not contain a zero. what is my number 1 solutions Answer 332141 by solver91311(16868)   on 2011-08-24 19:01:28 (Show Source): You can put this solution on YOUR website! The only two pairs of single digits with a difference of 8 are 9 and 1 and 8 and 0, but the problem said no zero. John My calculator said it, I believe it, that settles it

Equations/485699: Pn = r + si/f f=? 1 solutions Answer 332140 by solver91311(16868)   on 2011-08-24 18:58:15 (Show Source): You can put this solution on YOUR website! Add -r to both sides. Multiply by Take the reciprocal of both sides. John My calculator said it, I believe it, that settles it

Numeric_Fractions/485698: What is 1/2 divided by 1/4 1 solutions Answer 332139 by solver91311(16868)   on 2011-08-24 18:55:47 (Show Source): You can put this solution on YOUR website! In order to divide fractions, invert the divisor and then multiply. John My calculator said it, I believe it, that settles it

Numbers_Word_Problems/485693: In a 4 digit number, the last two digits are 7. The sum of the hundreds and thousands digits is 20. What are two possible answer choices? 1 solutions Answer 332138 by solver91311(16868)   on 2011-08-24 18:54:59 (Show Source): You can put this solution on YOUR website! Not possible. The largest single digit number is 9, hence the sum of the hundreds and the thousands digit cannot be larger than 9 + 9 = 18. John My calculator said it, I believe it, that settles it

Linear-equations/485683: I need help with how to find missing coordinates! Find the value of k (-3,2k)(k,6) m=4 1 solutions Answer 332132 by solver91311(16868)   on 2011-08-24 18:33:50 (Show Source): You can put this solution on YOUR website! Use the slope formula: where and are the coordinates of the given points. Substitute the data that you are given. Presume the first listed ordered pair is point 1. Solve for . John My calculator said it, I believe it, that settles it

Expressions-with-variables/485676: I don't understand how to solve equations with variables AT ALL. Please help! 1 solutions Answer 332130 by solver91311(16868)   on 2011-08-24 18:28:24 (Show Source): You can put this solution on YOUR website! Thank you for asking this question. If you go back to the instructions for posting questions on this site, you will see a couple of example questions designed to illustrate what is a good question and what is a bad question. This question is a much improved example of a bad question that is almost guaranteed not to garner a helpful response of any kind. I'm going to write to Igor and propose that he replace the current bad example with your submission. Congratulations. Please go back and read the instructions. Read them several times if necessary. Then follow the instructions. John My calculator said it, I believe it, that settles it

Conjunction/485670: please please help me, i have posted this problem several times and no one will respond. if the argument is valid, name which of the four valid forms of argument is represented. if it is not valid, name the fallacy that is represented. if i sing in the shower, then i will not be overheard while singing. i was overheard while singing therefore i did not sing in the shower. 1 solutions Answer 332126 by solver91311(16868)   on 2011-08-24 18:21:32 (Show Source): You can put this solution on YOUR website! The argument is valid because the contrapositive of a conditional proposition always has the same truth value as the original proposition: John My calculator said it, I believe it, that settles it

Numbers_Word_Problems/485666: If a number is added to itself, the sum is greater than the original number? 1 solutions Answer 332124 by solver91311(16868)   on 2011-08-24 18:15:34 (Show Source): You can put this solution on YOUR website! That certainly depends on what you mean by "a number." As posed, the answer to your question is "Sometimes" Select a natural number and add it to itself, then the sum is certainly greater than the original. Select zero and add it to itself. You get zero, so the sum is the same as the original number. Select a negative number and add it to itself, then the sum is smaller than the original number. John My calculator said it, I believe it, that settles it

Numbers_Word_Problems/485658: Can the sum of two three-digit numbers egual a four-digit number? 1 solutions Answer 332122 by solver91311(16868)   on 2011-08-24 18:11:05 (Show Source): You can put this solution on YOUR website! How many digits in the sum of two numbers each of which is greater than or equal to 500 but less than 1000? John My calculator said it, I believe it, that settles it

Volume/485566: Suppose that a box has a volume of 100 centimeters and that the areaof the bottom of the box is 50 square centimeters. Find the height of the box. 1 solutions Answer 332121 by solver91311(16868)   on 2011-08-24 18:05:40 (Show Source): You can put this solution on YOUR website! Volume is length times width times height. Area is length times width. Substitute for in the Volume equation: Solve for John My calculator said it, I believe it, that settles it

Triangles/485614: In a certain isosceles triangle, the base is seven less than twice the measure of one of the legs. The perimeter is 65 cm. Find the lengths of all three sides of the triangle. 1 solutions Answer 332108 by solver91311(16868)   on 2011-08-24 17:36:39 (Show Source): You can put this solution on YOUR website! Let represent the measure of one of the legs. Then, since this is an isosceles triangle, the other leg must also measure . We are also given that the base is . Finally, since we know that the perimeter of any polygon is the sum of the measures of all of the sides, we can write: Solve for . Then calculate . John My calculator said it, I believe it, that settles it

Equations/485570: , where x= -1 I have tried and tried, but keep getting a solution of 1 or more exactly (3/3). The back of my textbook gives an answer of (3/2). I just don't see how. 1 solutions Answer 332084 by solver91311(16868)   on 2011-08-24 16:51:37 (Show Source): You can put this solution on YOUR website! You are right. The book is wrong. It happens. Stop hyperventilating and get on with your life. If it will make you feel better, write a letter to the publisher and tell them you want your money back. (you won't get an answer, much less any money back, but you will enjoy venting your frustrations) If your professor/instructor/teacher/school administration says the book is right, ask him/her/it for your money back also. Assume that Multiply both sides by 2: Multiply both sides by Add -6 to both sides: John My calculator said it, I believe it, that settles it

Probability-and-statistics/485450: Three screws are drawn at random from a lot of 200 screws, 10 of which are defective. Find the probability that the screws drawn will be nondefective in drawing (a) with replacement, (b) without replacement. 1 solutions Answer 332047 by solver91311(16868)   on 2011-08-24 15:01:44 (Show Source): You can put this solution on YOUR website! a) with replacement. The probability on each draw is constant, so use 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 You would be looking for: Noting that pick 0 (and pick for that matter) equals 1 for all positive integers . Also for all real , so the calculation reduces to: You can do your own arithmetic. b) The probabilities for each draw vary because you don't replace the drawn item. The probability of a non-defective item on the first draw where there are 10 out of 200 defective is Assuming that a good item was drawn on the first draw, the new probability for the second draw becomes . You decreased the total number of items by one, so the denominator is decremented, but since you did not select a defective item, the number of non-defective items remains at a constant 190. (If you had selected a defective item on the first draw, game over -- we are calculating the probability of drawing non-defectives.) Again, assuming a non-defective on draw 2, decrement the denominator and keep the numerator constant. Then multiply the three probabilities: Again, you are on your own with the arithmetic. John My calculator said it, I believe it, that settles it

Age_Word_Problems/485425: I am currently 60 years old. My grand daughter is 12. At some time I will be three times her age. Write an equation which models how old each of us will be. 1 solutions Answer 332012 by solver91311(16868)   on 2011-08-24 13:02:25 (Show Source): You can put this solution on YOUR website! Let represent the number of years between now and the time the grandfather is three times as old as the granddaughter. Then In plain English: Three times the age the grandaughter will be years from now is the same as the age the grandfather will be years from now. John My calculator said it, I believe it, that settles it

Probability-and-statistics/485391: Respected Sir / Mam , Please help me to solve this question. I will be very grateful for your help . My question is If the overall percentage of success in the exam is 60, what is the probability that out of a group of 4 students, at least one has passed? As the answer given is : 0.9744 Please provide me the steps for this question. Thank you 1 solutions Answer 331988 by solver91311(16868)   on 2011-08-24 12:06:59 (Show Source): You can put this solution on YOUR website! Like many things in this life there is a hard way and an easy way to answer this question. If 4 students take the test, then there are 5 situations that could possibly arise: None pass, 1 passes, 2 pass, 3 pass, or all 4 pass. Note for future reference that since these five outcomes are inclusive of all possible outcomes, the sum of the probabilities of each must be 1, because it is a certainty that one of the outcomes will occur. Now, your question asks for the probability that at least one student passes. Looking at it in a straight-forward way, that would be the sum of the probabilities that exactly 1 passes plus exactly 2 pass plus...and so on. Since "Pass/Fail" is an either/or outcome, and the probability of success for any given instance of one student taking one test is given as 60%, we know that the probability should be calculated using 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 But you would need to perform this calculation four times and then sum the results. First you would need to calculate: To get the probability for exactly 1, and then you would have to do exactly 2, and so on. In summary: But fortunately, there is a much simpler way. From the point of view of your question, there are only two possible outcomes. Either 1 or more pass, or nobody passes. So if you take the probability that nobody passes and subtract that from 1, you get the probability that at least 1 passes. Since we know that pick 0 is 1 for all positive integers and that for all real numbers , The above reduces to: The arithmetic is yours to do. John My calculator said it, I believe it, that settles it

Travel_Word_Problems/485107: a long distance runner has an average speed of 5 m/s during a race. how far does the runner travel in 25 minutes? express the answer in m, km, and miles. and lastly, A rock is dropped off the side of a bridge and hits the water below at 2.5 s later. what is the rocks velocity when it hits the water, the average velocity as it fell and the height of the bridge above the water. 1 solutions Answer 331833 by solver91311(16868)   on 2011-08-23 19:16:25 (Show Source): You can put this solution on YOUR website! Your second problem: You need to choose the measurement system you want to use. Acceleration due to gravity in kms is , whereas in fps it is . The values are negative because of the convention that up is positive. I'm just going to do the problem using and then you can substitute the appropriate acceleration value and do the arithmetic. The instantaneous velocity of a falling body is the integral of acceleration with respect to time plus a constant which is the initial velocity, Since the rock was dropped we can presume that Which is to say Substitute 2.5 seconds for the time because that is what is given and multiply by the appropriate value of . If you use your answer will be in meters per second, but if you use then your answer will be in feet per second. The height is determined by integrating velocity as a function of time. Very conveniently the function we just evaluated to find the final velocity. Where the constant of integration is the initial height, For simplicity's sake, we will take the initial height to be zero and then consider the surface of the water to be some negative height. Again, we substitute 0 for the initial values and get: And again, substitute 2.5 for and your chosen value for John My calculator said it, I believe it, that settles it

Mixture_Word_Problems/485051: 7 people meet and shake hands with one another, how many handshakes occurred? using inductive reasoning, wrte a formula for the number of handshakes if the number of people is n. the Fibonacci sequence consists of the pattern 1,1,2,3,5,8,13,...., what is the ninth term in the pattern? look at the successive ratios of ne term to the next, make a conjecture? list the first eight terms of the sequence formed by finding the differences of sucessive terms in the fibonacci sequence? 1 solutions Answer 331811 by solver91311(16868)   on 2011-08-23 17:52:45 (Show Source): You can put this solution on YOUR website! The first of the 7 people will shake hands with 6 others. Only 6 because no person is going to shake hands with themselves. The second person also shakes hands with 6 people, but you have already counted one of those handshakes, namely the one with the first person. Therefore, the second person shakes hands with only 5 NEW people. Then the third person adds 4 new handshakes, etc., down to the 2nd to the last person who adds 1 new handshake. The last person has no one new, so all of the last person's handshakes are already counted. In summary: If you have people, then follow the same pattern: Or put more succinctly using sigma notation: John My calculator said it, I believe it, that settles it

Equations/484573: which value of x is the following algebraia equation true? (x2-9)=0 1 solutions Answer 331561 by solver91311(16868)   on 2011-08-22 18:48:24 (Show Source): You can put this solution on YOUR website! You have improperly worded your question. It should properly be stated: For which values. . . . Factor the LHS: Which is true if and only if Or Solve the two equations for to obtain the two elements of the solution set for the given equation. John My calculator said it, I believe it, that settles it

Length-and-distance/484564: the directions say... "find the precision for each measurement" so here is the problem: 7 1/4 inches what is the precision?? help, please!!!!!!! 1 solutions Answer 331557 by solver91311(16868)   on 2011-08-22 18:40:50 (Show Source): You can put this solution on YOUR website! Nearest inch. When you say that something measures inch you are only guaranteeing that the actual measurement is and because anything inside of that range is reported as . Compare this to reporting that the measurement is . Here the precision is nearest because you are guaranteeing that the actual measure is and . MUCH tighter. John My calculator said it, I believe it, that settles it

Graphs/484563: what does the semi colon mean in the problem 9 + 4y = 17;1 1 solutions Answer 331552 by solver91311(16868)   on 2011-08-22 18:33:52 (Show Source): You can put this solution on YOUR website! Nothing. Typo. John My calculator said it, I believe it, that settles it

Length-and-distance/484488: Graph four points that satisfy the equation: y=2x-1 1 solutions Answer 331551 by solver91311(16868)   on 2011-08-22 18:32:28 (Show Source): You can put this solution on YOUR website! Step 1: Select a value for . It can be anything you like but generally speaking, small inegers work well and keep the arithmetic simple (read "less errors") Step 2: Substitute the value you chose for into the equation and do the indicated arithmetic to determine the resulting value of Step 3: Using the value you chose in step 1 and the value you calculated in step 2, write the ordered pair, Step 4: Repeat steps 1 through 3 three more times using a different value for in step 1 each time. John My calculator said it, I believe it, that settles it

Angles/484545: What is "x" in 60 degrees + 58 degrees + 2x for a double diamond frame. 1 solutions Answer 331535 by solver91311(16868)   on 2011-08-22 18:11:34 (Show Source): You can put this solution on YOUR website! I'm not sure what a "double-diamond" frame is. If the three angles of a triangle are 60, 58, and , you can use the fact that the sum of the angles in ANY triangle is 180 degrees to write . Solve for . John My calculator said it, I believe it, that settles it

sets-and-operations/484526: I'm having a problem with this set. The question is.. Prior to the 7:15 show at the local movie theater, 70 people visited the concession stand, Listed below is what they ordered 42 ordered popcorn 18 ordered candy 30 ordered a soda 10 ordered popcorn and candy 8 ordered soda and candy 12 ordered popcorn and soda 5 ordered popcorn, candy and soda 1. How many people ordered something other than popcorn, candy or soda? 2. How many people ordered popcorn and a soda but not candy? 3. How many people ordered candy or a soda but not popcorn? 4. How many people ordered popcorn or candy? 1 solutions Answer 331533 by solver91311(16868)   on 2011-08-22 18:05:20 (Show Source): You can put this solution on YOUR website! Draw a large rectangle. Inside of the rectangle draw three circles that partially overlap. Label the circles P, C, and S. In the very center where the three circles overlap, that is to say the one region on your diagram where you are inside of all three circles, put the number 5 representing the 5 people who ordered P, C, AND S. The region where P and C overlap needs to contain the number of people who ordered ONLY P and C. The number 10 given for people who ordered P and C also includes those who ordered P, C, and S. So from the given 10 subtract those that ordered all three, that is 10 minus 5 = 5. And you put 5 into the P and C only region. Similarly, since 12 minus 5 equals 7, you put 7 in the P & S only region. Then, since the number who ordered P includes those who ordered P & C, those who ordered P & S, AND those who ordered all three, add up 5 plus 7 plus 5 = 17, then subtract 17 from the 42 we are told ordered P to arrive at 25 who ordered ONLY P. Use similar logic to fill in the rest of your diagram. Next add all of the numbers that you have entered in your diagram. Subtract that result from 70, the number of people surveyed, to get the number of people who did not order P, S, OR C. Several of us only wanted ice cream. Write that number in the rectangle outside of all of the circles. You should be able to answer all of the questions posed just from the data in your diagram. John My calculator said it, I believe it, that settles it

Probability-and-statistics/484529: Prevalence of Alzheimer's disease (cases per 100 population) Age group; males; females 65-69; 1.6; 0.0 70-74; 0.0; 2.2 75-79; 4.9; 2.3 80-84; 8.6; 7.8 85+; 35.0; 27.9 suppose an unrelated 77 year old man, 76 year old woman, and 82 year old woman are selected from a community. what is the probability that all three of these individuals have Alzheimer's Disease. 1 solutions Answer 331529 by solver91311(16868)   on 2011-08-22 17:51:42 (Show Source): You can put this solution on YOUR website! Why did you submit the same problem three times? John My calculator said it, I believe it, that settles it

Probability-and-statistics/484530: Prevalence of Alzheimer's disease (cases per 100 population) Age group; males; females 65-69; 1.6; 0.0 70-74; 0.0; 2.2 75-79; 4.9; 2.3 80-84; 8.6; 7.8 85+; 35.0; 27.9 Suppose an unrelated 77 year old man, 76 year old woman, and 82 year old woman are selected from a community. What is the probability that at least one of the three people has Alzheimer's disease? 1 solutions Answer 331528 by solver91311(16868)   on 2011-08-22 17:51:10 (Show Source): You can put this solution on YOUR website! Why did you submit the same problem three times? John My calculator said it, I believe it, that settles it