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solver91311 answered: 17045 problems
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Travel_Word_Problems/472921: how many miles do travel if you are driving consistently at 35mph for 30 minutes? 1 solutions Answer 324243 by solver91311(17059)   on 2011-07-21 17:44:00 (Show Source): You can put this solution on YOUR website! The meaning of 35 mph is 35 miles per hour. That means in one hour you will travel 35 miles. How far do you suppose you would travel in one half of that time? John My calculator said it, I believe it, that settles it

sets-and-operations/472805: Given that U = {students in a college}, A = {students who are over 180 cm tall}, B = {students who are vegetarian}, C = {students who are cyclists}, express in words each of the following i) A∩B ≠ Ø ii) A ⊂ C' Express in set notation the statement (iii) all students who are both vegetarians and cyclists are not over 180 cm tall. 1 solutions Answer 324172 by solver91311(17059)   on 2011-07-21 12:48:26 (Show Source): You can put this solution on YOUR website! i) There exist students at the college who are both over 180 cm tall and who are vegetarians. ii) All of the students who are over 180 cm tall are not cyclists. iii) John My calculator said it, I believe it, that settles it

Expressions-with-variables/472829: solve: 250 = x/y this was on a test of mine and the only question i was not sure about. What is the solution if any. 1 solutions Answer 324166 by solver91311(17059)   on 2011-07-21 12:37:14 (Show Source): You can put this solution on YOUR website! Solve for x in terms of y: Solve for y in terms of x: That's about all you can do. John My calculator said it, I believe it, that settles it

Probability-and-statistics/472823: The possible values of x in a discrete probability distribution of the integers 1 to 20. If all values of x are equally likely, using the appropriate formula, solve for P(4<=x<=16). A.0.05 B. 0.15 C.0.60 D. 0.65. 1 solutions Answer 324164 by solver91311(17059)   on 2011-07-21 12:34:43 (Show Source): You can put this solution on YOUR website! There are 13 possible successes out of 20 possible outcomes. John My calculator said it, I believe it, that settles it

Probability-and-statistics/472558: If the mean of a normal distribution is 25, and the standard deviation is 1, it is highly unlikely that a value in the data is 24. t or f 1 solutions Answer 323970 by solver91311(17059)   on 2011-07-20 18:54:11 (Show Source): You can put this solution on YOUR website! It depends. What sort of data are we talking about? If the data is discrete integer counts, then roughly 25% of your data with the mean and standard deviation parameters given is 24. But if it is measurement data, then out of several Monte Carlo trials of 5000 random numbers normally distributed around 25 with a standard deviation of 1, I obtained zero instances of a data point that was within 6 decimal places of 24. On the other hand, if you consider a measurement stated as 24 somethings (without a decimal fraction specification) you are really only guaranteeing that the measurement is in the range . Using that criteria, the count is back up to roughly 25%. John My calculator said it, I believe it, that settles it

Probability-and-statistics/472555: If the standard deviation of a set of values is 6.7 and the average value is 201.2, which of the following values is not contained within 68% of the bell-shaped curve about the mean? 1 solutions Answer 323964 by solver91311(17059)   on 2011-07-20 18:29:31 (Show Source): You can put this solution on YOUR website! Approximately 68% of the data is within one standard deviation of the mean. Anything outside the range of . John My calculator said it, I believe it, that settles it

Probability-and-statistics/472551: You roll 2 dice. What is the probability that the sum of the dice is odd or 1 die shows a 5? A 6 X 6 table of dice outcomes will help you to answer this question 1 solutions Answer 323963 by solver91311(17059)   on 2011-07-20 18:26:32 (Show Source): You can put this solution on YOUR website! There are 36 outcomes total, so that is your probability denominator. There are 2 ways to make a 3, 4 ways to make 5, 6 ways to make 7, 4 ways to make 9, and 2 ways to make 11. Then there are 2 ways to make a 6 containing a 5, 2 ways to make an 8 containing a 5, and 1 way to make a 10 containing a 5. All together: 2 + 4 + 6 + 4 + 2 + 2 + 2 + 1 = 23 ways to be successful out of 36 outcomes. John My calculator said it, I believe it, that settles it

Number-Line/472550: how do you graph on a number line x<4 or x<8 1 solutions Answer 323962 by solver91311(17059)   on 2011-07-20 18:19:01 (Show Source): You can put this solution on YOUR website! Draw a little circle on the number. Make a big fat line going to the left all the way past the end of the number line. Put an arrowhead on the fat line pointing to the left. John My calculator said it, I believe it, that settles it

Rectangles/472435: I am having trouble finding the length and width if a certain rectangle has an area of 288 square inches and a perimeter of 9 feet. I changed 9 feet into inches which is 108 inches. I tried to do guess and check, but it is not really working for me... 1 solutions Answer 323960 by solver91311(17059)   on 2011-07-20 17:58:48 (Show Source): You can put this solution on YOUR website! The perimeter of a rectangle is given by: and the area is given by: Plug in numbers: which means Then But since we have an expression for the length in terms of width that we derived from the Area equation, substitute: Multiply by Put in standard form: Factor and solve for . Then calculate John My calculator said it, I believe it, that settles it

Equations/472428: In State X, all vehicle license plates have 2 letters from the 26 letters of the alphabet followed by 3 one-digit numbers. How many different license plates can State X have if repetition of letters and numbers is allowed? A 23,400 B 60,840 C 67,600 D 608,400 E 676,000 Can yoou show me how to solve this? 1 solutions Answer 323906 by solver91311(17059)   on 2011-07-20 13:47:30 (Show Source): You can put this solution on YOUR website! There are 26 ways to select the first letter. For each of those ways, since repetition is allowed, there are 26 ways to select the second letter, for a total of 26 times 26 ways to select the letters. For each of those 26 times 26 ways to pick the letters there are 10 ways to select the first digit (0 through 9 is 10 possibilities). Then 10 ways to select the second digit and 10 ways to select the last digit. Do your own arithmetic. John My calculator said it, I believe it, that settles it

Evaluation_Word_Problems/472426: Write the equation of the line on the plane that has an y-intercept of 2 1 solutions Answer 323904 by solver91311(17059)   on 2011-07-20 13:27:19 (Show Source): You can put this solution on YOUR website! You cannot write the equation of the line that has a -intercept of 2. In the first place, there are an infinite number of lines that have a -intercept of 2, and each of them has an infinite number of equation representations. The best that can be done is to write an equation that represents the family of lines with a -intercept of 2. Where represents any of the infinite possible slopes a line only described as having a -intercept of 2 could have. John My calculator said it, I believe it, that settles it

Mixture_Word_Problems/472425: an architect 's model of a block of flats is in the scale 1:50 if the model is 0.8 m wide how wide is the actual block of flats if the block of flats is 30 m high how tall is the model 1 solutions Answer 323900 by solver91311(17059)   on 2011-07-20 13:19:22 (Show Source): You can put this solution on YOUR website! meters meters John My calculator said it, I believe it, that settles it

Trigonometry-basics/472422: f(x)=(10/3)^x grop it 1 solutions Answer 323898 by solver91311(17059)   on 2011-07-20 13:17:22 (Show Source): You can put this solution on YOUR website! Sorry, don't know how to grop a function. Is that anything like grok from Heinlein's Stranger in a Strange Land? John My calculator said it, I believe it, that settles it

Equations/472410: Factorize the binomial -1+y² = ( ) ( ) 1 solutions Answer 323886 by solver91311(17059)   on 2011-07-20 12:51:30 (Show Source): You can put this solution on YOUR website! Turn it around. Addition is commutative after all. Now factor the difference of two squares. John My calculator said it, I believe it, that settles it

Travel_Word_Problems/471906: a car travels at an average speed of 48 miles per hour. how many miles does it travel in 4 hours and 15 minutes 1 solutions Answer 323608 by solver91311(17059)   on 2011-07-19 13:19:12 (Show Source): You can put this solution on YOUR website! 4.25 times 48 John My calculator said it, I believe it, that settles it

Functions/471912: f(x)=-4x-2 and g(x)=5x-6 Find f*g and state the domain 1 solutions Answer 323606 by solver91311(17059)   on 2011-07-19 13:13:11 (Show Source): You can put this solution on YOUR website! Just multiply the two binomials together (Remember FOIL?). And, just like all other polynomial functions, the domain is all real numbers. John My calculator said it, I believe it, that settles it

Probability-and-statistics/471927: Plz help with process! Two students are selected at random from a class of 14 males and 6 females. Find the probability that both students are males (to two decimals). 1 solutions Answer 323602 by solver91311(17059)   on 2011-07-19 13:06:35 (Show Source): You can put this solution on YOUR website! This is a binomial process. There are only two possible outcomes on any given trial: You either pick a guy or a girl. There are 14 guys out of 20 people (0.7 probability) and there are 6 girls out of 20 people (0.3) probability. The probabilities are PER TRIAL. You want to know the probability of exactly two males out of two attempts. 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 For your problem: Hint: And John My calculator said it, I believe it, that settles it

logarithm/471922: solve equations : 1/3log(x) - log (1000) = 3 1 solutions Answer 323595 by solver91311(17059)   on 2011-07-19 12:49:21 (Show Source): You can put this solution on YOUR website! Presuming the normal convention of an unspecified base denoting base 10 logarithms, and using: We can deduce that So Substituting: Then using again we can say: John My calculator said it, I believe it, that settles it

Money_Word_Problems/471916: I spent half my weekly allowance to earn more $ I washed my parents car for 4$ wht is my weekly allowance if I ended with 12$ 1 solutions Answer 323593 by solver91311(17059)   on 2011-07-19 12:29:39 (Show Source): You can put this solution on YOUR website! Take the $4 away from the $12 you have leaving you with half of your allowance. Multiply by 2. John My calculator said it, I believe it, that settles it

Miscellaneous_Word_Problems/471918: A total of tickets were sold for the school play. They were either adult tickets or student tickets. There were more student tickets sold than adult tickets. How many adult tickets were sold? 1 solutions Answer 323592 by solver91311(17059)   on 2011-07-19 12:27:38 (Show Source): You can put this solution on YOUR website! Let represent the number of student tickets sold. Let represent the number of adult tickets sold. Let represent the total number of tickets sold. Let represent the number of student tickets that exceeded the number of adult tickets. Substitute from the 2nd equation into the first equation: And that is as far as anyone can go without the information you left out. John My calculator said it, I believe it, that settles it

logarithm/471611: Log[5]3.3x=log[5](4+27x^(2)) 1 solutions Answer 323451 by solver91311(17059)   on 2011-07-18 18:08:05 (Show Source): You can put this solution on YOUR website! Therefore if then I'll leave it as an exercise for the student to find the complex roots of the quadratic. Since the domain of is The solution set of is the null set. John My calculator said it, I believe it, that settles it

test/471590: Is 75 prime composite or neither 1 solutions Answer 323444 by solver91311(17059)   on 2011-07-18 17:36:35 (Show Source): You can put this solution on YOUR website! 75 is an integer, so it must be either prime or composite. It cannot be 'neither' If any integer other than 1 or the integer itself evenly divides an integer, then that integer is composite, otherwise it is prime. John My calculator said it, I believe it, that settles it

Probability-and-statistics/471597: If the odds of winning a raffle are 17:200, what is the probability of winning? 1.17/200 2.200/217 3.17/183 4.17/217 1 solutions Answer 323443 by solver91311(17059)   on 2011-07-18 17:33:38 (Show Source): You can put this solution on YOUR website! The odds for an event are the number of favorable outcomes divided by the number of unfavorable outcomes. The probability of an event are the number of favorable outcomes divided by the number of all outcomes. John My calculator said it, I believe it, that settles it

Volume/471592: Find the volume of the pyramid with a rectangular base shown below. (Points : 5) 108 cubic inches 270 cubic inches 75 cubic inches 30 cubic inches 1 solutions Answer 323442 by solver91311(17059)   on 2011-07-18 17:29:12 (Show Source): You can put this solution on YOUR website! Shown below what? John My calculator said it, I believe it, that settles it

Miscellaneous_Word_Problems/471601: the lowest frequency we can hear is 20 Hz.calculated the wavelenght associated with this frequency for sounf that travels at 340 m/s 1 solutions Answer 323441 by solver91311(17059)   on 2011-07-18 17:24:56 (Show Source): You can put this solution on YOUR website! Ask this question on a physics site. Or provide the formula

Trigonometry-basics/470838: Factorise each of the following over C a) f(z)=z^3+z^2+2z-4 b)g(z)= z^3+(2-i)z^2-z-2+i i tried solving them as: a) the factor of f(z) is (z-1), then do the long division and the answer will be (z^2+2z+4) and so f(z)=(z-1)(z^2+2z+4) = (z-1)(z+1)^2 -1+4 <<< got stuck, how can i complete? b)the factor of g(z) is (z+2+i), then do the long division and the answer will be z^2+1 and so g(z)= (z+2-i)(z^2-1) <<<< how can i complete? Thanks 1 solutions Answer 322946 by solver91311(17059)   on 2011-07-16 02:29:05 (Show Source): You can put this solution on YOUR website! On problem number 1, so far, so good. Just like you said. Next take the quadratic factor and set it equal to zero, then solve the quadratic equation using the quadratic formula: . Hence the factors of the quadratic trinomial are: Hence: The other one is easier. Factor the quadratic factor as the difference of two squares. John My calculator said it, I believe it, that settles it

Geometric_formulas/470834: Hi I was hoping someone could please help me with this! I appreciate all the help!!!! :) Use an Euler diagram to determine whether the syllogism is valid or invalid. Some professional golfers give golf lessons. All people who belong to the PGA are professional golfers. ∴ All people who belong to the PGA give golf lessons. 1 solutions Answer 322941 by solver91311(17059)   on 2011-07-16 01:44:42 (Show Source): You can put this solution on YOUR website! Draw a rectangle. That is the universe of golfers. Draw a circle inside of the rectangle that represents that subset of golfers that are professionals. Draw another circle that partially overlaps the first circle that represents golfers who give golf lessons (I think we can safely draw this second circle entirely within the universe of golfers since it is hard to imagine a person who gives golf lessons that is not a golfer) Draw another circle that is completely inside of the professional golfer circle that represents members of the PGA. The PGA circle may or may not overlap the golf instructor circle -- it probably does, but nothing in the premises requires it. Part of the PGA circle at least is not inside of the golf instructor circle. Therefore it is not valid to conclude that all PGA members give golf lessons. John My calculator said it, I believe it, that settles it

Geometry_Word_Problems/470831: a side of an equilateral triangle is 3/11 feet.find the perimeter of a triangle. 1 solutions Answer 322940 by solver91311(17059)   on 2011-07-16 01:33:29 (Show Source): You can put this solution on YOUR website! If it is an equilateral triangle, then all three sides have the same measure. The perimeter of a triangle is the sum of the measures of the three sides. John My calculator said it, I believe it, that settles it

Volume/470451: my refridgerator is 2 ft 8 inches from left to right 2 ft 6 inches from front to back 5 ft 8 inches from top to bottom what is the measurements in cubic ft. 1 solutions Answer 322700 by solver91311(17059)   on 2011-07-14 20:15:04 (Show Source): You can put this solution on YOUR website! 8 inches is 2/3 foot, and 6 inches is 1/2 foot. So multiply John My calculator said it, I believe it, that settles it

Age_Word_Problems/470488: chris is 1/2 aas old as his father; a year ago he xas 1/3 as old as his father.what is the age of each? 1 solutions Answer 322696 by solver91311(17059)   on 2011-07-14 19:22:54 (Show Source): You can put this solution on YOUR website! Let represent Chris' age. Let represent the father's age. Then was Chris' age a year ago and represents the father's age a year ago. Solve by substitution Hmmm, interesting. When Chris is 2 years old, his father is 4 years old. His father was 2 years old when Chris was born. Makes sense if Chris and his father are dogs. John My calculator said it, I believe it, that settles it

Quadratic_Equations/470485: what are the following examples of quizzes that i can give to the low sections? 1 solutions Answer 322695 by solver91311(17059)   on 2011-07-14 19:06:15 (Show Source): You can put this solution on YOUR website!