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Probability-and-statistics/726752: Sweetwater & Associates write weekend trip insurance at a very nominal charge. Records show that the probability that a motorist will have an accident during the weekend and file a claim is 0.05. Suppose they wrote 15 policies for the coming weekend, what is the probability that exactly two claims will be filed? 1 solutions Answer 444796 by jim_thompson5910(28595)   on 2013-03-16 15:22:51 (Show Source): You can put this solution on YOUR website! This is a binomial distribution problem. In this case, n = 15, p = 0.05 and k = 2 So plug all of that into the formula below and evaluate. P(X = k) = (n C r)*(p)^(k)*(1-p)^(n-k) P(X = 2) = (15 C 2)*(0.05)^(2)*(0.95)^(15-2) P(X = 2) = (105)*(0.05)^(2)*(0.95)^13 P(X = 2) = (105)*(0.0025)*(0.5133420832795) P(X = 2) = 0.13475229686087 P(X = 2) = 0.134752 Final Answer (Rounded to 6 decimal places): P(X = 2) = 0.134752

Miscellaneous_Word_Problems/726754: A company that produces flashlight batteries wishes to know what percentage of its batteries will last longer than 30 hours. It selects and tests a random sample of 300 batteries. Of these batteries, 225 last 30 hours or more. Find the sample proportion. The sample proportion is _______. (Use 2 decimal place such as X.XX) 1 solutions Answer 444788 by jim_thompson5910(28595)   on 2013-03-16 14:05:12 (Show Source): You can put this solution on YOUR website! The sample size is 300. The number of successes are 225, so the sample proportion is phat = x/n = 225/300 = 0.75 So the sample proportion is phat = 0.75 Notes: 1) phat (pronounced pee-hat) is the sample proportion that estimates the population proportion p. This is NOT the same as the p-value. The symbol you'll most likely see for phat is (basically a p with a ^ directly over it) 2) x = number of successes and n = sample size 3) A "success" in this case is finding a battery that lasts 30 hours or more. If you find a battery that lasts less than 30 hours, then it's not a success and it's a failure. 4) The sample proportion (phat) is equal to the ratio or fraction of the number of successes (x) over the number in the sample (n)

Probability-and-statistics/726730: During September, the average temperature of Laurel Lake is 64.2º and the standard deviation is 3.2º. Assume the variable is normally distributed. For a randomly selected day, find the probability that the temperature will be a. Above 62º b. Below 67º c. Between 65º and 68º My answers a. -.6875 b. .875 c. .25 and 1.1875 1 solutions Answer 444786 by jim_thompson5910(28595)   on 2013-03-16 13:59:07 (Show Source): You can put this solution on YOUR website! Notes: 1) The probability of any event is ALWAYS POSITIVE (unless the probability is 0) and it is ALWAYS LESS THAN 1. So if p is the probability of some event, then (where p is a real number between 0 and 1) 2) You can't have two values for the probability in part c). Only one probability is possible. ------------------------------------------------------- Use either a calculator or a table to get the following answers a) 0.754116149619739 b) 0.809213047147489 c) 0.283778446023862 Make sure you round to the proper decimal place as instructed. Note: if you need me to show you how to use a calculator to get that, let me know. Thanks. If you don't have a calculator and you don't want to use a table, then wolfram alpha is your next best bet. Just go to that site, type in "normalcdf" without quotes, and you'll be able to compute the probabilities.

Linear-systems/726775: Write the point-slope form of (4, 6) with the slope of 5. 1 solutions Answer 444785 by jim_thompson5910(28595)   on 2013-03-16 13:51:53 (Show Source): You can put this solution on YOUR website!

Inequalities/726777: 7n+4>5n-8 1 solutions Answer 444784 by jim_thompson5910(28595)   on 2013-03-16 13:50:56 (Show Source): You can put this solution on YOUR website!

Linear-equations/726663: Find the slope of the line that passes through the pair of points (6, 7) and (9, 2). 1 solutions Answer 444711 by jim_thompson5910(28595)   on 2013-03-16 00:31:25 (Show Source): You can put this solution on YOUR website! Two generic points that define a straight line are (x1, y1) and (x2, y2) In this case, (x1, y1) = (6, 7), which means x1=6 and y1= 7 and (x2, y2) = (9, 2), which means x2=9 and y2= 2 So x1=6, y1= 7, x2=9, and y2= 2. ---------------------------------------------------------------- Now use the slope formula m = (y2-y1)/(x2-x1) m = ( 2- 7)/(9-6) m = -5/3 So the slope of the line that passes through the two points is -5/3

Quadratic-relations-and-conic-sections/726662: sketch the ellipse (x-3)^2/25 + (y+2)^2/16 = 1 1 solutions Answer 444710 by jim_thompson5910(28595)   on 2013-03-16 00:25:42 (Show Source): You can put this solution on YOUR website! The center is (3, -2) The major axis is 2*sqrt(25) = 10 units long (the semi-major axis is 10/2 = 5 units long) The minor axis is 2*sqrt(16) = 8 units long (the semi-minor axis is 8/2 = 4 units long) The graph would look like this

Quadratic_Equations/726602: I need help sloving this problem -5x×^2-4x-11= if x=-1 1 solutions Answer 444706 by jim_thompson5910(28595)   on 2013-03-16 00:05:05 (Show Source): You can put this solution on YOUR website! -5x^2-4x-11 -5(-1)^2-4(-1)-11 -5(1)-4(-1)-11 -5+4-11 -12 So -5x^2-4x-11 = -12 when x = -1

Sequences-and-series/726661: A theater has 37 seats in the first row, 41 seats in the second row, 45 seats in the third row and so on. how many seats are in row 15 1 solutions Answer 444705 by jim_thompson5910(28595)   on 2013-03-15 23:59:36 (Show Source): You can put this solution on YOUR website! This is an arithmetic sequence since the common difference is d = 41 - 37 = 4 each time. First term: a1 = 37 Common Difference: d = 4 a(n) = a1 + d(n-1) a(n) = 37 + 4(n-1) a(n) = 37 + 4n-4 a(n) = 4n + 33 a(15) = 4(15) + 33 a(15) = 60 + 33 a(15) = 93 There are 93 seats in row 15.

Parallelograms/726660: Side AB of parallelogram ABCD is represented by the equation y-7=3/2x. Which equation could represent side CD 1 solutions Answer 444704 by jim_thompson5910(28595)   on 2013-03-15 23:57:39 (Show Source): You can put this solution on YOUR website! The slope of y-7=3/2x is 3/2 (since y-7=3/2x can be turned into y = 3/2x + 7) So the slope of any equation going through CD must also have a slope of 3/2 because CD is parallel to AB and all parallel lines have the same slope. So the answer will look like y = 3/2x + b where b is any number.

Square-cubic-other-roots/726217: evaluate and simplify in a+bi form (4+ i sqrt 3) + (2- 2i sqrt 3) Thanks Alot. 1 solutions Answer 444517 by jim_thompson5910(28595)   on 2013-03-14 17:48:49 (Show Source): You can put this solution on YOUR website! (4+ i*sqrt(3)) + (2- 2i*sqrt(3)) 4+ i*sqrt(3) + 2- 2i*sqrt(3) (4+2)+ (i*sqrt(3)- 2i*sqrt(3)) (4+2)+ (sqrt(3)- 2*sqrt(3))*i (6)+ (-1*sqrt(3))*i (6)+ (-sqrt(3))*i 6 - sqrt(3)*i The answer is or and it is in a+bi form where and Note: the i term is NOT in (or under) the square root

Functions/726210: Cant find the function rule for 0 20 2 18 4 16 8 12 Im the mom n cant help my daughter. Thanks! 1 solutions Answer 444510 by jim_thompson5910(28595)   on 2013-03-14 17:26:21 (Show Source): You can put this solution on YOUR website! As x increases by 2, y decreases by 2. So the slope is -2/2 = -1. So m = -1 The y intercept is 20 since this is where x = 0. So b = 20 This means y = mx+b turns into y = -1x + 20 which is just f(x) = -x+20 which is your final answer (in function notation).

Permutations/725946: Evaluate the expression. 140P1 1 solutions Answer 444406 by jim_thompson5910(28595)   on 2013-03-14 01:54:20 (Show Source): You can put this solution on YOUR website! 140P1 = 140 since n P 1 = n for all positive integers n.

Probability-and-statistics/725961: Find the indicated probability. P(A) = 0.27 P(B) = 0.31 P(A or B) = 0.2 P(A and B) =? 1 solutions Answer 444405 by jim_thompson5910(28595)   on 2013-03-14 01:47:43 (Show Source): You can put this solution on YOUR website! P(A and B) = P(A) + P(B) - P(A or B) P(A and B) = 0.27 + 0.31 - 0.2 P(A and B) = 0.38

Travel_Word_Problems/725969: It takes Tom 45 minutes to commute to work and he drives at 35 mph, how many miles is Tom's work? 1 solutions Answer 444404 by jim_thompson5910(28595)   on 2013-03-14 01:32:22 (Show Source): You can put this solution on YOUR website! d = rt d = 35*(45/60) d = 26.25 His work is 26.25 miles away.

Functions/725822: factor 3x^2 + 8x - 3 1 solutions Answer 444325 by jim_thompson5910(28595)   on 2013-03-13 18:49:12 (Show Source): You can put this solution on YOUR website! Looking at the expression , we can see that the first coefficient is , the second coefficient is , and the last term is . Now multiply the first coefficient by the last term to get . Now the question is: what two whole numbers multiply to (the previous product) and add to the second coefficient ? To find these two numbers, we need to list all of the factors of (the previous product). Factors of : 1,3,9 -1,-3,-9 Note: list the negative of each factor. This will allow us to find all possible combinations. These factors pair up and multiply to . 1*(-9) = -9 3*(-3) = -9 (-1)*(9) = -9 (-3)*(3) = -9 Now let's add up each pair of factors to see if one pair adds to the middle coefficient : First Number Second Number Sum 1 -9 1+(-9)=-8 3 -3 3+(-3)=0 -1 9 -1+9=8 -3 3 -3+3=0 From the table, we can see that the two numbers and add to (the middle coefficient). So the two numbers and both multiply to and add to Now replace the middle term with . Remember, and add to . So this shows us that . Replace the second term with . Group the terms into two pairs. Factor out the GCF from the first group. Factor out from the second group. The goal of this step is to make the terms in the second parenthesis equal to the terms in the first parenthesis. Combine like terms. Or factor out the common term =============================================================== Answer: So factors to . In other words, . Note: you can check the answer by expanding to get or by graphing the original expression and the answer (the two graphs should be identical).

Angles/725541: The diffrence of two supplementary angles is 72 degree.find the angles 1 solutions Answer 444209 by jim_thompson5910(28595)   on 2013-03-13 02:54:50 (Show Source): You can put this solution on YOUR website! x+y = 90 x-y = 72 -------- 2x+0y = 162 2x = 162 x = 162/2 x = 81 x+y = 90 81+y = 90 y = 90-81 y = 9 The two angles are 81 degrees and 9 degrees.

Numbers_Word_Problems/725557: Okay, been messing with the problem for quite some time. Please help with set up, I seem to be missing something key to the problem: How old is Blanche today if the square of her age 3 years from now, minus 10 times her age 2 years ago is 50. I keep thinking it must be something like : (x+3)^2 - 10x-2=50 But it is not working out. 1 solutions Answer 444208 by jim_thompson5910(28595)   on 2013-03-13 02:53:12 (Show Source): You can put this solution on YOUR website! the square of her age 3 years from now ---> (x+3)^2 10 times her age 2 years ago ----> 10(x-2) ------------------------------------------------------- "How old is Blanche today if the square of her age 3 years from now, minus 10 times her age 2 years ago is 50" turns into (x+3)^2 - 10(x - 2) = 50 Solve for x (x+3)^2 - 10(x - 2) = 50 x^2 + 6x + 9 - 10(x - 2) = 50 x^2 + 6x + 9 - 10x + 20 = 50 x^2 + 6x + 9 - 10x + 20 - 50 = 0 x^2-4x-21 = 0 (x-7)(x+3) = 0 x-7 = 0 or x+3 = 0 x = 7 or x = -3 Ignore the negative answer. So the only solution is x = 7 This means that Blanche is 7 years old currently.

Graphs/725574: Graph the equation of a line 2x+4y=6 using slope-intercept method 1 solutions Answer 444206 by jim_thompson5910(28595)   on 2013-03-13 02:41:24 (Show Source): You can put this solution on YOUR website! Start with the given equation. Subtract from both sides. Rearrange the terms. Divide both sides by to isolate y. Break up the fraction. Reduce. Looking at we can see that the equation is in slope-intercept form where the slope is and the y-intercept is Since this tells us that the y-intercept is .Remember the y-intercept is the point where the graph intersects with the y-axis So we have one point Now since the slope is comprised of the "rise" over the "run" this means Also, because the slope is , this means: which shows us that the rise is -1 and the run is 2. This means that to go from point to point, we can go down 1 and over 2 So starting at , go down 1 unit and to the right 2 units to get to the next point Now draw a line through these points to graph So this is the graph of through the points and

Linear-equations/725560: write y=x+5 in standard form using integers 1 solutions Answer 444205 by jim_thompson5910(28595)   on 2013-03-13 02:39:49 (Show Source): You can put this solution on YOUR website! y=x+5 y-x=x+5-x -x+y = 5 x-y = -5 Answer: x-y = -5

Probability-and-statistics/725450: A fair coin is tossed until it comes up tails for the third time or heads for the second time. My set that I got was: HH TTT THTH HTH THTT HTTH HTTT THH TTHH TTHT What is the probability that the third tail does occur?(Trick question) What is the probability that the third tail doesn't occur? 1 solutions Answer 444153 by jim_thompson5910(28595)   on 2013-03-12 20:34:30 (Show Source): You can put this solution on YOUR website! First make a probability tree of all the possible outcomes (given the restriction rules) The values in red are the probabilities for each scenario. For example, there’s a 12.5% chance of flipping THH (start at the top and go left, right, right) Circle all the probabilities where T shows up 3 times to get this Add up all those circled probabilities: 12.5+6.25+6.25+6.25 = 31.25 So the probability of that the third tail does occur is a 31.25% chance, which in decimal form is 0.3125

Polynomials-and-rational-expressions/725380: Factor if possible 16x^2-40x+25 thanks 1 solutions Answer 444127 by jim_thompson5910(28595)   on 2013-03-12 18:44:05 (Show Source): You can put this solution on YOUR website! Looking at the expression , we can see that the first coefficient is , the second coefficient is , and the last term is . Now multiply the first coefficient by the last term to get . Now the question is: what two whole numbers multiply to (the previous product) and add to the second coefficient ? To find these two numbers, we need to list all of the factors of (the previous product). Factors of : 1,2,4,5,8,10,16,20,25,40,50,80,100,200,400 -1,-2,-4,-5,-8,-10,-16,-20,-25,-40,-50,-80,-100,-200,-400 Note: list the negative of each factor. This will allow us to find all possible combinations. These factors pair up and multiply to . 1*400 = 400 2*200 = 400 4*100 = 400 5*80 = 400 8*50 = 400 10*40 = 400 16*25 = 400 20*20 = 400 (-1)*(-400) = 400 (-2)*(-200) = 400 (-4)*(-100) = 400 (-5)*(-80) = 400 (-8)*(-50) = 400 (-10)*(-40) = 400 (-16)*(-25) = 400 (-20)*(-20) = 400 Now let's add up each pair of factors to see if one pair adds to the middle coefficient : First Number Second Number Sum 1 400 1+400=401 2 200 2+200=202 4 100 4+100=104 5 80 5+80=85 8 50 8+50=58 10 40 10+40=50 16 25 16+25=41 20 20 20+20=40 -1 -400 -1+(-400)=-401 -2 -200 -2+(-200)=-202 -4 -100 -4+(-100)=-104 -5 -80 -5+(-80)=-85 -8 -50 -8+(-50)=-58 -10 -40 -10+(-40)=-50 -16 -25 -16+(-25)=-41 -20 -20 -20+(-20)=-40 From the table, we can see that the two numbers and add to (the middle coefficient). So the two numbers and both multiply to and add to Now replace the middle term with . Remember, and add to . So this shows us that . Replace the second term with . Group the terms into two pairs. Factor out the GCF from the first group. Factor out from the second group. The goal of this step is to make the terms in the second parenthesis equal to the terms in the first parenthesis. Combine like terms. Or factor out the common term Condense the terms. =============================================================== Answer: So factors to . In other words, . Note: you can check the answer by expanding to get or by graphing the original expression and the answer (the two graphs should be identical).

Polygons/725369: A polygon has m sides. If one of its interior angles is 80 degrees, and the other interior angles are each equal to 160 degrees, find the value of m. 1 solutions Answer 444121 by jim_thompson5910(28595)   on 2013-03-12 18:22:07 (Show Source): You can put this solution on YOUR website! If there are m sides, then the angles sum up to 180(m-2) degrees ------------------------------------------------------- There is 1 angle that is 80 degrees There are m angles total, so this means that there are m-1 angles left (if one is already taken). These m-1 angles are all 160 degrees. So 80 + 160(m-1) = 180(m-2) Solve for m: 80+160(m-1)=180(m-2) 80+160m-160=180m-360 160m-80=180m-360 160m=180m-360+80 160m-180m=-360+80 -20m=-360+80 -20m=-280 m=(-280)/(-20) m=14 So there are 14 sides (and 14 angles).

Polynomials-and-rational-expressions/725344: I'm having a problem in figuring out what the "2" in front of 2x(squared) means. This is factoring polynomials mentally or with the box method. 2x(squared) + 11x - 21 The missing numbers are -3 and 14. I know I'm supposed to multiply -21 by 2, but what do I do after solving for the two missing numbers? 1 solutions Answer 444106 by jim_thompson5910(28595)   on 2013-03-12 17:26:56 (Show Source): You can put this solution on YOUR website! Looking at the expression , we can see that the first coefficient is , the second coefficient is , and the last term is . Now multiply the first coefficient by the last term to get . Now the question is: what two whole numbers multiply to (the previous product) and add to the second coefficient ? To find these two numbers, we need to list all of the factors of (the previous product). Factors of : 1,2,3,6,7,14,21,42 -1,-2,-3,-6,-7,-14,-21,-42 Note: list the negative of each factor. This will allow us to find all possible combinations. These factors pair up and multiply to . 1*(-42) = -42 2*(-21) = -42 3*(-14) = -42 6*(-7) = -42 (-1)*(42) = -42 (-2)*(21) = -42 (-3)*(14) = -42 (-6)*(7) = -42 Now let's add up each pair of factors to see if one pair adds to the middle coefficient : First Number Second Number Sum 1 -42 1+(-42)=-41 2 -21 2+(-21)=-19 3 -14 3+(-14)=-11 6 -7 6+(-7)=-1 -1 42 -1+42=41 -2 21 -2+21=19 -3 14 -3+14=11 -6 7 -6+7=1 From the table, we can see that the two numbers and add to (the middle coefficient). So the two numbers and both multiply to and add to Now replace the middle term with . Remember, and add to . So this shows us that . Replace the second term with . Group the terms into two pairs. Factor out the GCF from the first group. Factor out from the second group. The goal of this step is to make the terms in the second parenthesis equal to the terms in the first parenthesis. Combine like terms. Or factor out the common term =============================================================== Answer: So factors to . In other words, . Note: you can check the answer by expanding to get or by graphing the original expression and the answer (the two graphs should be identical).

Equations/725341: Okay so in class we are learning to combine like terms. Equation: 3x+12-10x I've tried factoring but I'm very confused. 1 solutions Answer 444105 by jim_thompson5910(28595)   on 2013-03-12 17:25:43 (Show Source): You can put this solution on YOUR website! 3x and -10x are like terms. Combine them to get -7x. Notice how 3 + (-10) = 3 - 10 = -7 So that's why 3x - 10x = -7x So in the end, the final answer is -7x + 12

Rectangles/725304: The length of one diagonal of a rhombus is 10in and the area is 70in find the length of the other diagonal 1 solutions Answer 444100 by jim_thompson5910(28595)   on 2013-03-12 17:15:05 (Show Source): You can put this solution on YOUR website! A = p*q/2 70 = 10*q/2 70*2 = 10q 140 = 10q 140/10 = q 14 = q q = 14 So the other diagonal is 14 inches.

Angles/725319: If you have two adjacent angle that are supplementary and one angle is 80 what is the other angle?? 1 solutions Answer 444096 by jim_thompson5910(28595)   on 2013-03-12 16:49:02 (Show Source): You can put this solution on YOUR website! x+y = 180 80 + y = 180 y = 180 - 80 y = 100 So the other angle is 100

Polynomials-and-rational-expressions/725322: 6x^2+18x-600 Factor, if possible. Be sure to factor completely. Always factor out the greatest commone factor first, if one exist. thanks. 1 solutions Answer 444094 by jim_thompson5910(28595)   on 2013-03-12 16:45:04 (Show Source): You can put this solution on YOUR website! Start with the given expression. Factor out the GCF . Now let's try to factor the inner expression --------------------------------------------------------------- Looking at the expression , we can see that the first coefficient is , the second coefficient is , and the last term is . Now multiply the first coefficient by the last term to get . Now the question is: what two whole numbers multiply to (the previous product) and add to the second coefficient ? To find these two numbers, we need to list all of the factors of (the previous product). Factors of : 1,2,4,5,10,20,25,50,100 -1,-2,-4,-5,-10,-20,-25,-50,-100 Note: list the negative of each factor. This will allow us to find all possible combinations. These factors pair up and multiply to . 1*(-100) = -100 2*(-50) = -100 4*(-25) = -100 5*(-20) = -100 10*(-10) = -100 (-1)*(100) = -100 (-2)*(50) = -100 (-4)*(25) = -100 (-5)*(20) = -100 (-10)*(10) = -100 Now let's add up each pair of factors to see if one pair adds to the middle coefficient : First Number Second Number Sum 1 -100 1+(-100)=-99 2 -50 2+(-50)=-48 4 -25 4+(-25)=-21 5 -20 5+(-20)=-15 10 -10 10+(-10)=0 -1 100 -1+100=99 -2 50 -2+50=48 -4 25 -4+25=21 -5 20 -5+20=15 -10 10 -10+10=0 From the table, we can see that there are no pairs of numbers which add to . So cannot be factored. =============================================================== Answer: So simply factors to In other words, .

Polynomials-and-rational-expressions/725324: Factor if possible x^3+8x^2+12x thanks. 1 solutions Answer 444093 by jim_thompson5910(28595)   on 2013-03-12 16:44:28 (Show Source): You can put this solution on YOUR website! Start with the given expression. Factor out the GCF . Now let's try to factor the inner expression --------------------------------------------------------------- Looking at the expression , we can see that the first coefficient is , the second coefficient is , and the last term is . Now multiply the first coefficient by the last term to get . Now the question is: what two whole numbers multiply to (the previous product) and add to the second coefficient ? To find these two numbers, we need to list all of the factors of (the previous product). Factors of : 1,2,3,4,6,12 -1,-2,-3,-4,-6,-12 Note: list the negative of each factor. This will allow us to find all possible combinations. These factors pair up and multiply to . 1*12 = 12 2*6 = 12 3*4 = 12 (-1)*(-12) = 12 (-2)*(-6) = 12 (-3)*(-4) = 12 Now let's add up each pair of factors to see if one pair adds to the middle coefficient : First Number Second Number Sum 1 12 1+12=13 2 6 2+6=8 3 4 3+4=7 -1 -12 -1+(-12)=-13 -2 -6 -2+(-6)=-8 -3 -4 -3+(-4)=-7 From the table, we can see that the two numbers and add to (the middle coefficient). So the two numbers and both multiply to and add to Now replace the middle term with . Remember, and add to . So this shows us that . Replace the second term with . Group the terms into two pairs. Factor out the GCF from the first group. Factor out from the second group. The goal of this step is to make the terms in the second parenthesis equal to the terms in the first parenthesis. Combine like terms. Or factor out the common term -------------------------------------------------- So then factors further to =============================================================== Answer: So completely factors to . In other words, . Note: you can check the answer by expanding to get or by graphing the original expression and the answer (the two graphs should be identical).

Polynomials-and-rational-expressions/725325: 15x^2-8x+5 Factor if possible be sure to factor completely always factor out the greatest common factor first, if one exists thanks for answering. 1 solutions Answer 444092 by jim_thompson5910(28595)   on 2013-03-12 16:43:57 (Show Source): You can put this solution on YOUR website! Looking at the expression , we can see that the first coefficient is , the second coefficient is , and the last term is . Now multiply the first coefficient by the last term to get . Now the question is: what two whole numbers multiply to (the previous product) and add to the second coefficient ? To find these two numbers, we need to list all of the factors of (the previous product). Factors of : 1,3,5,15,25,75 -1,-3,-5,-15,-25,-75 Note: list the negative of each factor. This will allow us to find all possible combinations. These factors pair up and multiply to . 1*75 = 75 3*25 = 75 5*15 = 75 (-1)*(-75) = 75 (-3)*(-25) = 75 (-5)*(-15) = 75 Now let's add up each pair of factors to see if one pair adds to the middle coefficient : First Number Second Number Sum 1 75 1+75=76 3 25 3+25=28 5 15 5+15=20 -1 -75 -1+(-75)=-76 -3 -25 -3+(-25)=-28 -5 -15 -5+(-15)=-20 From the table, we can see that there are no pairs of numbers which add to . So cannot be factored. =============================================================== Answer: So doesn't factor at all (over the rational numbers). So is prime.

Volume/725327: Please help me understand how I get the height of a rectangular prism with a volume of 200 cm. Thank you for any help 1 solutions Answer 444090 by jim_thompson5910(28595)   on 2013-03-12 16:42:12 (Show Source): You can put this solution on YOUR website! If you know the area of the base, then you can find the height. This is because Volume = (Area of Base)*(Height) V = B*h where B = area of base, h = height ----------------------------------------- Solve for h to get So if you know what B is, then you can plug in V = 200 and the value of B, then evaluate to get your answer.