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# Recent problems solved by 'edjones'

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 Probability-and-statistics/361101: A box contains three red balls, five black balls, and four white balls. Suppose one ball is drawn at random. Find the probability of each of the following events: a. A black ball is drawn. b. A black or a white ball is drawn. c. Neither a red nor a white ball is drawn. d. A red ball is not drawn. e. A black ball and a white ball are drawn. f. A black or white or red ball is drawn. 1 solutions Answer 257596 by edjones(7569)   on 2010-10-25 00:06:43 (Show Source): You can put this solution on YOUR website!12 balls total. a) 5/12 b) 9/12=3/4 c) 5/12 d) 3/4 e) only one ball is drawn f) 1 . Ed
 percentage/360916: A class is made up of boys 12 and 4 girls. Half of the girls wear glasses. A student is selected at random from the class. What is the probability that the student is a girl with glasses? Write your answer as a fraction in simplest form. 1 solutions Answer 257495 by edjones(7569)   on 2010-10-24 18:32:26 (Show Source): You can put this solution on YOUR website!2/16=1/8
 Probability-and-statistics/360860: Please help me with this problem ASAP! 10) What is the probability that a CSN political science student completes a 4-year degree and then attends law school, and then passes the Bar exam on the first try? There is a 50% chance that a CSN Political Science student will finish a 4-year degree, and 5% chance that once the 4-year degree is completed the student will attend law school, and a 20% of passing the Bar exam on the first attempt after going through all of that. I have worked it multiple times and keep getting it wrong. I have submitted: P(4yr)= 50% P(lawschool)= 5% P(bar)= 20% 50%-5%-20%= 25% (.5)(.05)(.2)= .005= 0.5% 1 solutions Answer 257494 by edjones(7569)   on 2010-10-24 18:29:51 (Show Source): You can put this solution on YOUR website!.5 * .05 * .2 = .005 = 0.5% Correct . Ed
 Equations/360870: the question is 54.7= -9.3n +8.2 what does n =1 solutions Answer 257493 by edjones(7569)   on 2010-10-24 18:21:01 (Show Source): You can put this solution on YOUR website!54.7= -9.3n +8.2 9.3n+54.7=8.2 9.3n=-46.5 n=-5 . Ed
 Complex_Numbers/360871: It says to algrebraically solve for this equation for x. 1/x-2 (One divided by x minus 2 plus)... 2/x+1 (Two divided by x +1 equals)... 7x+1/x^2-x-2 (7x+1 divided x to the 2nd power -x-2) This is all one equation. Hope it is understandable. I found that the LCD is (x-2)(x+1) I want to keep adding (x-1) to the LCD. Not sure why.1 solutions Answer 257491 by edjones(7569)   on 2010-10-24 18:16:19 (Show Source): You can put this solution on YOUR website!There are no signs between the different statements.
 Probability-and-statistics/360881: A manufacturer of computer printers purchases plastic ink cartridges from a vendor. When a large shipment is received, a random sample of 208 cartridges is selected, and each cartridge is inspected. If the sample proportion of defective cartridges is more than .02, the entire shipment is returned to the vendor. (a) What is the approximate probability that a shipment will be returned if the true proportion of defective cartridges in the shipment is 0.07? (Round the answers to three decimal places.) P =1 solutions Answer 257489 by edjones(7569)   on 2010-10-24 18:08:59 (Show Source): You can put this solution on YOUR website!208*.02=4.16 If 5 are defective the shipment will be returned; 4 defective is OK. Let y=.07 and x=.93 Expand (x+y)^208 x^208+208x^207y+21528x^206y^2+1478256x^205y^3+75760620x^204y4=.00089 Probability 4 or less found defective. 1-.00089=.999 probability shipment will be returned. . Ed
 logarithm/360840: Solve the equation for x. ln(6-7x) = -11 solutions Answer 257481 by edjones(7569)   on 2010-10-24 17:08:48 (Show Source): You can put this solution on YOUR website!ln(6-7x) = -1 e^(ln(6-7x)) = e^(-1) 6-7x=.3679 -7x=.3679-6 -7x=-5.6321 x=.8046 . Ed
 Permutations/360841: Hi everyone; Pizza Options: A Pizzeria offers thin-crust and deep-dish 9, 12, and 14-inch sizes, with 15 possible toppings. How many different types of pizzas can be ordered? Thanks1 solutions Answer 257480 by edjones(7569)   on 2010-10-24 17:00:09 (Show Source): You can put this solution on YOUR website!2*3*15=90
 Permutations/360842: Car Showroom: Car dealership has 20 different models, which 8 are two-door, 12 are four-door vehicles. How many ways can manager choose 3 of the two-door and 2 of the four-door models for a show?1 solutions Answer 257479 by edjones(7569)   on 2010-10-24 16:57:17 (Show Source): You can put this solution on YOUR website!nCr=combination of n things taken r at a time. 8C3*12C2 =56*66 =3696 ways. . Ed
 Linear-equations/360845: There are seven questions that I am having trouble answering and would like some help on these if possible. 1- Find the slope and the y-intercept for y=2.3x-3 2- Find an equation of the line containing the given pair of points: (-6,0) and (0,5) 3- Write an equation of the line containing the given point and parallel to the given line. (6,-2); 3x-4y=5 4- Find the function value for f(x)=x^3(that is x to the 3rd power)f(-5)=? 5- Find the slope if it exists, of the line containing the pair of points. (5,8) and (10,-6) **the 2 choices I have to answer from are 1- the slope is undefined 2- the slope m = ? 6- Find the slope and the yintercept of the line. Write fractional answers in the lowest term. 6y+9x+7=12+9x 7- Determine whether the graphs of each pair of lines are parallel. 4x+6=y 2y=8x-5 thanks for any help on these! 1 solutions Answer 257478 by edjones(7569)   on 2010-10-24 16:51:17 (Show Source): You can put this solution on YOUR website!y=2.3x-3 slope=2.3 y intercept (when x=0) is -3. . Ed
 Exponents-negative-and-fractional/360850: Simplify: (-1/64)^-2/3 I am getting a non real number for this, could you solve it and if possible show my how. This way I will be sure whether or not I am doing it correctly.1 solutions Answer 257477 by edjones(7569)   on 2010-10-24 16:46:39 (Show Source): You can put this solution on YOUR website!(-1/64)^-2/3 =-64^(2/3) =4096^(1/3) =16 . Ed
 Probability-and-statistics/360791: Please help me with my probability homework! It has been sent back to me twice and my book is no help. 5) In Summerville scientists have noticed that there is 24% chance of sun on any day, a 17% chance of snow, a 15% chance of rain, and 21% of fog. What is the probability that tomorrow in Summerville will either be sunny, foggy or rainy? I have submitted: Sunny= 24% or 6/25 P(Sunny)= 0.24 Foggy= 21% or 21/100 P(Foggy)= 0.21 Rain= 15% or 3/20 P(rain)= 0.15 S+F+R= 60% or 3/5 P(Sunny + Foggy + Rain)= P(0.24+0.21+0.15)= 0.60 There is a three in five chance it will either be sunny, foggy, or rainy in Summerville tomorrow. That is a sixty percent chance for the above conditions. 1 solutions Answer 257476 by edjones(7569)   on 2010-10-24 16:39:31 (Show Source): You can put this solution on YOUR website!The sum of the percentages is only only 77. What is the other 23%? Ask the teacher.
 Probability-and-statistics/360552: Suppose 60% of all people who are eligible for jury duty in a large Florida city are in favor of capital punishment. A jury of 12 is to be randomly selected from among all the prospective jurors in this city. Let X be the number of jurors in the jury who are in favor of capital punishment. a) Does X have a binomial distribution? Explain. b) What is the probability that 10 of the 12 jury members are in favor of capital punishment? c) Find the mean of the distribution and explain what that number means in this context. 1 solutions Answer 257328 by edjones(7569)   on 2010-10-24 02:30:37 (Show Source): You can put this solution on YOUR website!a) Yes, There are 2 alternatives, either they do or don't believe in the death penalty. (x+y)^12 where x=0.6 and y=0.4 y are not in favor. . b) Exactly 10 of 12 are in favor: nCr=12C10=66 66x^10y^2=.0639 . c) 0.6*12=7.2 mean of the distribution. 7.2 means the average number of jurors on a jury of 12 that believe in the death penalty. . Ed
 Probability-and-statistics/360553: A survey-taker asks the age of each person in a random sample of 20 people. X is the age for the individuals. Does X have a binomial distribution? A. Yes. B. No, because the observations are not all independent. C. No, because there are more than two possible outcomes for each observation. D. No, because there is not a fixed number of observations. 1 solutions Answer 257320 by edjones(7569)   on 2010-10-24 02:03:24 (Show Source): You can put this solution on YOUR website!c.
 Permutations/360041: A department contains 15 men and 18 women. How many ways are there to form a committee with 6 members if it must have strictly more women than men?1 solutions Answer 257319 by edjones(7569)   on 2010-10-24 02:01:22 (Show Source): You can put this solution on YOUR website!Check question 359346 or answer 256434 to see how a very similar problem was solved. Ed
 Permutations/360609: To play a game, one must bet \$100 every time, and the probability of winning \$100 is 1/2. Every day, a person plays uninterruptedly until he loses once. Then, he leaves the game. a) Find the probability that he plays more than four times in one day. b) Find the probability that one day he leaves the game having won \$600 c) Calculate the expected winning per day Thanks1 solutions Answer 257314 by edjones(7569)   on 2010-10-24 01:48:22 (Show Source): You can put this solution on YOUR website!a) .5^5=.0313 . b) .5^6=.0156 . c)100*.5 + (-100*.5) = 0 . Ed
 Functions/360467: if f(x) = 2x+1 and g(x) = x^2 -1 then (g.f)(x)= . = o1 solutions Answer 257272 by edjones(7569)   on 2010-10-23 20:11:50 (Show Source): You can put this solution on YOUR website!(gof)(x)=(2x+1)^2-1 =4x^2+4x+1-1 =4x^2+4x . Ed
 Functions/360468: if the zeros of f(x) are 2 and 3, what are the zeros of f(x+1)?1 solutions Answer 257268 by edjones(7569)   on 2010-10-23 20:01:05 (Show Source): You can put this solution on YOUR website!x=2, x=3 (x-2)(x-3)=0 f(x)=x^2-5x+6=0 f(x+2)=(x+2)^2-5(x+2)+6=0 x^2+4x+4-5x-10+6=0 x^2-x=0 x(x-1)=0 x=0, x=1 . Ed
 Probability-and-statistics/360472: A survey-taker asks the age of each person in a random sample of 20 people. X is the age for the individuals. Does X have a binomial distribution? A. Yes. B. No, because the observations are not all independent. C. No, because there are more than two possible outcomes for each observation. D. No, because there is not a fixed number of observations. 1 solutions Answer 257258 by edjones(7569)   on 2010-10-23 19:39:59 (Show Source):
 Probability-and-statistics/360474: A university is trying to select from a group of students who have volunteer to help out at an alumni reunion event. The university plans to pick 4 students at random from this group of 6 in-state and 4 out-of state students. what is the probability that all the students selected will be in-state students?1 solutions Answer 257256 by edjones(7569)   on 2010-10-23 19:35:54 (Show Source): You can put this solution on YOUR website!nCr=Combinations of n things taken r at a time. 6C4/10C4 =15/210 =1/14 . Ed
 Rectangles/360484: evaluate the formula P=2l + 2w when l is 10in and w is 5 in1 solutions Answer 257254 by edjones(7569)   on 2010-10-23 19:29:05 (Show Source): You can put this solution on YOUR website!2*10+2*5 =20+10 =30"
 Exponents/360486: (4x-1) to the 4th power1 solutions Answer 257252 by edjones(7569)   on 2010-10-23 19:27:20 (Show Source): You can put this solution on YOUR website!(4x-1)^4 256x^4-256x^3+96x^2+-16x+1
 Miscellaneous_Word_Problems/360512: At a summer camp, there is a total of 60 children participating in five activities which take place simultaneously: A total of 28 children are in Archery and Bowling A total of 25 children are in Bowling and Canoeing A total of 15 children are in Canoeing and Drawing A total of 22 children are in Drawing and Egg Toss How many children are participating in each activity?1 solutions Answer 257242 by edjones(7569)   on 2010-10-23 19:07:51 (Show Source): You can put this solution on YOUR website!If they take place simultaneously how can the children participate in both at the same time?
 Exponents/360515: What are the final two digits of 71997? 1 solutions Answer 257240 by edjones(7569)   on 2010-10-23 19:01:09 (Show Source): You can put this solution on YOUR website!7^1=7 7^2=49 7^3=343 7^4=2401 7^5=16807 7^6=117649 7^7=823543 7^8=5764801 7^9=40353607 . The last 2 numbers repeat every 4 times . 1997/4=499 1/4 Therefore the last 2 digits of 7^1997 are ...07 . Ed
 Expressions-with-variables/360519: 0.03(2m-3)+0.05=5 m=??1 solutions Answer 257238 by edjones(7569)   on 2010-10-23 18:46:51 (Show Source): You can put this solution on YOUR website!0.03(2m-3)+0.05=5 .06m-.09+.05=5 .06m-.04=5 .06m=5.04 m=84 . Ed
 Miscellaneous_Word_Problems/360531: the difference of two numbers is tripled then then decreased by 1? if the smaller of the two numbers is 4, the result is 8.3? find the original number.1 solutions Answer 257236 by edjones(7569)   on 2010-10-23 18:40:00 (Show Source): You can put this solution on YOUR website!3(x-4)-1=8.3 3x-12-1=8.3 3x-13=8.3 3x=21.3 x=7.1 . Ed
 Quadratic_Equations/360545: Solve for ALL SOLUTIONS for the equation: x^2-160=9 1 solutions Answer 257233 by edjones(7569)   on 2010-10-23 18:30:37 (Show Source): You can put this solution on YOUR website!x^2-160=9 x^2-169=0 (x-13)^2=0 x=13 . Ed
 Quadratic_Equations/360546: In order to solve a quadratic equation by completing the square, place the letter of the following steps in the CORRECT ORDER FROM left to right all on one line using ONLY THE 5 LETTERS GIVEN: A) ISOLATE X TO FIND ITS TWO VALUES B) COMPLETE THE SQUARE ON THE LEFT AND ADD THAT QUANTITY TO THE RIGHT SIDE OF THE EQUATION C) FACTOR THE LEFT INTO THE ( )^2 FORM D) ISOLATE THE CONSTANT TERM BY MOVING IT TO THE RIGHT SIDE OF THE EQUATION E) TAKE THE SQRT OF BOTH SIDES OF THE EQUATION1 solutions Answer 257232 by edjones(7569)   on 2010-10-23 18:28:26 (Show Source): You can put this solution on YOUR website!D C B E A . Ed
 Probability-and-statistics/360279: According to the insurance company, the probability that a woman will survive one year is 0.994, and the probability that she will die in one year is 0.006. If she buys a \$10,000 one-year term policy for \$100, what is the company's expected gain or loss? A) loss of \$40,00 B) gain of \$40.00 C) No gain or loss1 solutions Answer 257118 by edjones(7569)   on 2010-10-23 00:51:12 (Show Source): You can put this solution on YOUR website!100-(10000*.006)=40 B
 Graphs/360298: Solve the inequality x(x + 3) > 4. Give your solution in interval notation, using INF for infinity.1 solutions Answer 257116 by edjones(7569)   on 2010-10-23 00:32:16 (Show Source): You can put this solution on YOUR website!x(x + 3) > 4 x^2+3x-4=0 First find the zeros. (x+4)(x-1)=0 x=-4, x=1 Test on either side of these numbers. x=-5: -5(-5+3)=10>4 x=0: 0<4 X=2: 2(2+3)=10>4 . (-INF, -4)U(1, INF) . Ed
 Equations/360214: What will you save yearly on gasoline if you buy a more fuel efficient car that gets "m" miles per gallon and a gas guzzler that gets "M" miles per gallon. Assume you drive "d" miles per year and the price of gas stays constant at "p" dollars per gallon.1 solutions Answer 257072 by edjones(7569)   on 2010-10-22 19:52:50 (Show Source): You can put this solution on YOUR website!Let miles=m' m'/g=m 1/m * d = d/m gallons d/m * p = dp/m dollars dp/M - dp/m = what you will save yearly on gasoline if you buy a more fuel efficient car that gets "m" miles per gallon and a gas guzzler that gets "M" miles per gallon. . Ed