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# Recent problems solved by 'Fombitz'

Fombitz answered: 13805 problems
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 Exponents/312025: i need your help. solve for unknown variable 1 solutions Answer 223078 by Fombitz(13828)   on 2010-06-07 08:08:02 (Show Source):
 Quadratic_Equations/311605: Which is the equation for the axis of symmetry of y = 1/2x^2 - 2x - 3? a) y = 2 b) x = -2 c) y = -2 d) x = 2 1 solutions Answer 222916 by Fombitz(13828)   on 2010-06-05 22:49:50 (Show Source): You can put this solution on YOUR website!Convert to vertex form by completing the square, x=2. d) is the correct answer.
 Functions/311635: how do i rewrite the equation: x+1/2y=-3 so that x is a function of y?1 solutions Answer 222914 by Fombitz(13828)   on 2010-06-05 22:45:54 (Show Source):
 Coordinate-system/311394: Write the equation of a line give a point and the slope. p(4,0),Q(6,-8)1 solutions Answer 222789 by Fombitz(13828)   on 2010-06-04 22:15:27 (Show Source): You can put this solution on YOUR website!You've given two points but said you gave a point and the slope. Which value is the slope?
 Linear-equations/311376: Graph the function g(x) = (x-1)3power1 solutions Answer 222788 by Fombitz(13828)   on 2010-06-04 22:13:28 (Show Source):
 test/311441: What is the average (arithmetic mean) of 4x + 5, 7x-6,and -8x+2?1 solutions Answer 222786 by Fombitz(13828)   on 2010-06-04 22:10:14 (Show Source):
 Systems-of-equations/311449: find the indicated outputs for f(x)=5xsquared 2-3x1 solutions Answer 222785 by Fombitz(13828)   on 2010-06-04 22:07:52 (Show Source): You can put this solution on YOUR website!What's the input? the x-value?
 expressions/311367: SOLVE THE FORMULA FOR THE INDICATED VARIABLE. CHOOSE FROM THE FOLLOWING ANSWERS. I=N/R+s for s a. s=N+IR/I b. s=N/I -R c. s=N/I +R d. s=R-IN/I1 solutions Answer 222703 by Fombitz(13828)   on 2010-06-04 15:59:03 (Show Source): You can put this solution on YOUR website! b) is the correct answer.
 Human-and-algebraic-language/311363: Hi I am having a problem answering this question. The sum of two numbers is -1. Five times the first number equals 3 times the second number. Find the two numbers. Could you please help me find the answer and show me how to do it? Thanks1 solutions Answer 222697 by Fombitz(13828)   on 2010-06-04 15:43:59 (Show Source): You can put this solution on YOUR website!Let A and B be your numbers. "sum of two numbers is -1" 1. "Five times the first number equals 3 times the second number" 2. From eq. 1, Multiply both sides by 5, Now substitute eq. 2 into eq. 1, Then from eq. 2,
 Miscellaneous_Word_Problems/311195: You have administered a standardized test of manual dexterity to two groups of 10 semi skilled workers. One of these two groups of workers will be employed by you to work in a warehouse with many fragile items. The higher the manual dexterity of a worker the less likelihood that worker will break significant inventory. Because of a unique contract you must hire all 10 employees from one of the two groups and none of the employees from the other. Group A Scores Group B Scores 99 78 100 86 60 79 59 92 95 75 97 86 67 90 34 59 81 79 96 64 You must decide which group to choose. Consider at least two measures of central tendency and at least one measure of dispersion for each group and use those to make your choice. Be sure to justify your choice with at least one page of discussion and analysis. Can you base a decision on the information provided and the measures that you calculated only? 1 solutions Answer 222694 by Fombitz(13828)   on 2010-06-04 15:33:34 (Show Source): You can put this solution on YOUR website!Group A: Mean=78.8, St.Dev.=21.5 Group B: Mean=78.8, St.Dev.=10.1 The groups have the same mean, with Group A having more variability. CHoose Group B to lower the risk of breakage. They are more likely to have less overall breakage than Group A.
 Graphs/311264: Write in vertex form. Sketch a graph of the function and label its vertex. 1. y = x^2 + 4x - 71 solutions Answer 222685 by Fombitz(13828)   on 2010-06-04 15:12:45 (Show Source): You can put this solution on YOUR website!Complete the square. . . Vertex: (,) . .
 Polynomials-and-rational-expressions/311325: if f(x)=x^2+3x+1 and g(x)=2x+5, the what does (f+g)(3)-(f/g)(4) equal?1 solutions Answer 222683 by Fombitz(13828)   on 2010-06-04 15:09:01 (Show Source): You can put this solution on YOUR website! . . . . . .
 Probability-and-statistics/311235: Air Transportation data from 1969-1998 collected from www.air-transport.org Assume it is a binomial distribution (fatal vs not fatal) Year 1969 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 Accidents 7 2 6 7 6 7 2 2 3 5 4 0 4 4 4 1 4 2 4 3 Year 1989 90 91 92 93 94 95 96 97 98 Accidents 8 6 4 4 1 4 2 3 3 0 a.) Find the mean and standard deviation of the number of fatal air travel accidents in 1997. There were 8 million flights. b.) Could a person claim that 8 fatal crashes in a year are unusual? Explain. 1 solutions Answer 222657 by Fombitz(13828)   on 2010-06-04 13:55:07 (Show Source): You can put this solution on YOUR website!The mean is 3.73, the standard deviation is 2.1. A value of 8 would give you a z-score of 2.03, a little greater than 2 standard deviations from the mean. I guess "unusual" is in the eye of the beholder and it would depend on your level of concern regarding airline travel. I would feel better if the mean was lower and the standard deviation smaller but I wouldn't think that 8 was unusual based on the data.
 Polynomials-and-rational-expressions/311328: find f(a), f(a+h), and f(a+h)-f(a)/h for f(x)=x^2+4x-21 solutions Answer 222656 by Fombitz(13828)   on 2010-06-04 13:27:51 (Show Source): You can put this solution on YOUR website! . . . . . . Then,
 Probability-and-statistics/311251: A bowl contains only red and black marbles.There are x red marbles, with 2 more black marbles than red. If a marble is selected at random, what is the probability that it will be black? a 2/x b x/(x+2) c x/(2x+2) d (x+2)/(2x+2) e 2/(x+2) 1 solutions Answer 222655 by Fombitz(13828)   on 2010-06-04 13:07:21 (Show Source): You can put this solution on YOUR website!Red, R-x marbles Black, B-x+2 marbles Total, 2x+2 marbles P(B)=(x+2)/(2x+2) d) is the correct answer
 Equations/311299: How would I solve this equation for x? 2.67x^2 – 3.45x - 4.54 = 0 answer in decimal form1 solutions Answer 222653 by Fombitz(13828)   on 2010-06-04 13:04:55 (Show Source): You can put this solution on YOUR website!Use the quadratic formula, . . .
 Polynomials-and-rational-expressions/311323: State the number of positive real zeros, negative real zeros, and imaginary zeros for g(x)= 9x^3 - 7x^2 + 10x - 4. I don't know if i'm put this in the correct category.1 solutions Answer 222648 by Fombitz(13828)   on 2010-06-04 12:55:48 (Show Source): You can put this solution on YOUR website! Looks like 1 real positive root, 2 imaginary roots.
 Quadratic_Equations/311290: (x+3)^2+27x+60=01 solutions Answer 222625 by Fombitz(13828)   on 2010-06-04 11:06:56 (Show Source): You can put this solution on YOUR website! Let Use the quadratic formula, or approximately, and . . .
 Probability-and-statistics/311184: Nigel keeps six CDs (Beatles, Duran Duran, Eminem, Five for Fighting, Gorillaz, and Styx) on a shelf in alphebetical order. If Nigel pulls them down and then puts them up in a random order, find the probability of P(Gorillaz CD is in the correct position).1 solutions Answer 222617 by Fombitz(13828)   on 2010-06-04 10:24:37 (Show Source): You can put this solution on YOUR website!There are 6 albums and 6 places to put them (with respect to each other). That's 6! possible permutations. Only one of them is correct. P(correct order)=1/6!=1/720
 Trigonometry-basics/311288: How do you find the length of the adjacent side if you only know the angle and the opposite side?1 solutions Answer 222616 by Fombitz(13828)   on 2010-06-04 10:19:30 (Show Source): You can put this solution on YOUR website!I'm assuming it's a right triangle. Then you know all three angles since the other angle is 90.
 Equations/311194: Tripling the greater of two consecutive even intergers gives the same result as subtracting 10 from the lesser interger. What are the intergers? I do not understand how to work this problem can you help?1 solutions Answer 222615 by Fombitz(13828)   on 2010-06-04 10:16:30 (Show Source): You can put this solution on YOUR website!N and N+2 are the two consecutive integers. N+2 is the greater, N is the lesser. . . . Your two integers are and .
 Linear-equations/311186: 3. Solve for X, Y, and Z in the following systems of three equations: a. X + 2Y + Z = 22 X + Y = 15 3X + Y + Z = 37 b. 10X + Y + Z = 603 8X + 2Y + Z = 603 20X - 10Y - 2Z = -6 c. 22X + 5Y + 7Z = 12 10X + 3Y + 2Z = 5 9X + 2Y + 12Z = 14 1 solutions Answer 222614 by Fombitz(13828)   on 2010-06-04 10:14:32 (Show Source): You can put this solution on YOUR website!a.X=10,Y=5,Z=2 b.X=50,Y=100,Z=3 b.X=0,Y=1,Z=1
 Volume/311188: (14y+8y^2+y^3+12)÷(6+y)1 solutions Answer 222613 by Fombitz(13828)   on 2010-06-04 10:12:18 (Show Source): You can put this solution on YOUR website! First factor Subtracted from the original polynomial gives a remainder of, Second factor Subtracted from the previous remainder gives a new remainder of, Third factor: Subtracted from the previous remainder gives a remainder of 0. Gather up all of the factors.
 Probability-and-statistics/311189: A bag contains 4 yellow,3 pink,2 red, and 1 blue marbles. A marble is drawn at random with replacement. Find each probability. P(yellow,pink) P(blue, blue) P(red,pink,blue) Thankyou1 solutions Answer 222612 by Fombitz(13828)   on 2010-06-04 10:11:26 (Show Source): You can put this solution on YOUR website!4 Y (yellow), 3 P (pink), 2 R (red), 1 B (blue)=10 total . . . P(Y)=4/10=2/5 P(P)=3/10 P(Y,P)=(2/5)(3/10)=3/25 . . . P(B)=1/10 P(B,B)=(1/10)(1/10)=1/100 . . . P(R)=2/10=1/5 P(P)=3/10 P(B)=1/10 P(R,P,B)=(1/5)(3/10)(1/10)=3/500
 Graphs/311286: graph the linear equation y = 1/3x - 3?1 solutions Answer 222611 by Fombitz(13828)   on 2010-06-04 10:08:21 (Show Source):
 Polynomials-and-rational-expressions/311190: find the quotient for (14y+8y^2+y^3+12)÷(6+y)1 solutions Answer 222610 by Fombitz(13828)   on 2010-06-04 10:07:25 (Show Source): You can put this solution on YOUR website! First factor Subtracted from the original polynomial gives a remainder of, Second factor Subtracted from the previous remainder gives a new remainder of, Third factor: Subtracted from the previous remainder gives a remainder of 0. Gather up all of the factors.
 Probability-and-statistics/311285: X P(x) -1 .25 0 .15 1 .10 3 p 5 .10 7 .15 9 .05 What is the probability that x is 5? What is the probability that x is no more than 5? Expected Value of x=E(x)? Variance? Standard Deviation? 1 solutions Answer 222607 by Fombitz(13828)   on 2010-06-04 09:47:16 (Show Source): You can put this solution on YOUR website!You need to correct your value for P(3), which is shown as "p".
 Probability-and-statistics/311230: You are generating pin codes for ATM cards. Each pin code has 5 places, and each place can be a small letter or a number between 0 and 9. No letter or number can be used more than once. How many different codes are there? a) _10_ * _9_ * _8_ * _26_ * _25_ c) 26! + 10! b) _36_ * _35_ * _34_ * _33_ * _32_ d) _35_ * _34_ * _33_ * _32_ * _31_ I thought the answer was d but i got it wrong can you explain why?1 solutions Answer 222606 by Fombitz(13828)   on 2010-06-04 09:45:18 (Show Source): You can put this solution on YOUR website!Your first place choice is out of 26 letters+10 numbers=36 total. Then the second place is out of 35, since you cannot use the one you already chose. Third, out of 34. Fourth, out of 33. Fifth, out of 32. b) is the correct answer.
 Inequalities/311202: how do i solve this a over 4 plus 2 < 3 =1 solutions Answer 222604 by Fombitz(13828)   on 2010-06-04 09:41:46 (Show Source): You can put this solution on YOUR website! Multiply both sides by 4 to get rid of the denominator. Subtract 8 from both sides.
 Problems-with-consecutive-odd-even-integers/311273: Which of the following numbers can be expressed as the product of 3 different integers greater than 1? I) 24 II) 27 III) 48 A) I and III only B) I and II only C) I, II and III D) I only E) III only 1 solutions Answer 222603 by Fombitz(13828)   on 2010-06-04 09:40:12 (Show Source): You can put this solution on YOUR website! II cannot be expressed this way since it is a perfect cube. B) is the correct answer.
 Graphs/311266: Write in vertex form. Sketch a graph of the function and label its vertex. 1. y = 3x^2 + 18x1 solutions Answer 222602 by Fombitz(13828)   on 2010-06-04 09:37:40 (Show Source): You can put this solution on YOUR website!Complete the square. . . . Vertex:(,) . . .