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# Recent problems solved by 'ewatrrr'

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 Probability-and-statistics/634142: Find the correlation coefficient for the data. - Find the equation for the regression line for the data, and predict the final grade of a student who misses 3.5 days. Number of absences Final Grade 0 95 1 91 2 82 3 69 4 67 5 581 solutions Answer 399392 by ewatrrr(10682)   on 2012-08-02 13:44:55 (Show Source): You can put this solution on YOUR website! ``` Hi, Excel CORREL function r = -.9866 Regression line equation: www.alcula.com/calculators/statistics/linear-regression/ y = -7.7143x + 96.286 grade mising 3.5 days = 69 ```
 Matrices-and-determiminant/634104: After the private screening of a new television pilot, audience members were asked to rate the new show on a scale of 1 to 10 (10 being the highest rating). From a group of 140 people, the following responses were obtained. Rating 1 2 3 4 5 6 7 8 9 10 Frequency of Occurrence 4 4 3 6 17 20 22 24 11 29 Let the random variable X denote the rating given to the show by a randomly chosen audience member. Find the probability distribution associated with these data. Rating 1 2 3 4 5 6 7 8 9 10 P(X = x) 1 solutions Answer 399382 by ewatrrr(10682)   on 2012-08-02 11:21:20 (Show Source): You can put this solution on YOUR website! ``` Hi, X # P(X = x) 1 4 0.028571429 2 4 0.028571429 3 3 0.021428571 4 6 0.042857143 5 17 0.121428571 6 20 0.142857143 7 22 0.157142857 8 24 0.171428571 9 11 0.078571429 10 29 0.207142857 ```
 expressions/634112: can you please help me with -(8d - 3w) 1 solutions Answer 399380 by ewatrrr(10682)   on 2012-08-02 11:07:21 (Show Source): You can put this solution on YOUR website! ``` Hi, ```
 Proportions/634113: Miguel passed seven of his history-class quizzes and failed three. The fraction of quizzes he passed is correctly expressed as:1 solutions Answer 399379 by ewatrrr(10682)   on 2012-08-02 11:05:45 (Show Source): You can put this solution on YOUR website! ``` Hi, Miguel passed seven of his history-class quizzes and failed three. The fraction of quizzes he passed is correctly expressed as: 7/10 ```
 Graphs/634111: find an equation of the line that has slope m and y-intercept b. m=-2, b= -11 solutions Answer 399378 by ewatrrr(10682)   on 2012-08-02 11:03:36 (Show Source): You can put this solution on YOUR website! ``` Hi, Using the standard slope-intercept form for an equation of a line y = mx + b where m is the slope and b the y-intercept. m = -2 and b = -1 Line y = (-2)x + (-1) y = -2x - 1 or 2x + y = -1 or 2x + y + 1 = 0 ```
 Graphs/634109: find an equation of the line that passes through the given point. (2,1) and (2,5)1 solutions Answer 399377 by ewatrrr(10682)   on 2012-08-02 11:01:20 (Show Source): You can put this solution on YOUR website! ``` Hi, Using the standard slope-intercept form for an equation of a line y = mx + b where m is the slope and b the y-intercept. line that passes through the point (2,1) and (2,5) m = -4/0 , NO slope, vertical line x = 2 ```
 Graphs/634110: find an equation of the line that passes through the point and has the indicated slope m. (2,4);m=-11 solutions Answer 399375 by ewatrrr(10682)   on 2012-08-02 10:58:51 (Show Source): You can put this solution on YOUR website! ``` Hi, Using the standard slope-intercept form for an equation of a line y = mx + b where m is the slope and b the y-intercept. line that passes through the point (2,4) and has the indicated slope m = -1. Line y = (-1)x + b 4 = (-1)·2 + b |Using ordered pair (x,y):(2,4) to solve for b 6 = b y = -x + 6 or x + y = 6 ```
 Rational-functions/634103: Find the missing term of the geometric sequence. 45, x, 16201 solutions Answer 399374 by ewatrrr(10682)   on 2012-08-02 10:54:33 (Show Source): You can put this solution on YOUR website! ``` Hi, r^2 = 36, r = 6 ```
 test/634093: ∫x^4 -2x^3 +5 dx1 solutions Answer 399373 by ewatrrr(10682)   on 2012-08-02 10:49:16 (Show Source): You can put this solution on YOUR website! ``` Hi, = ```
 test/634096: ∫(3x^2-2)(x^3-2x)^5 dx1 solutions Answer 399372 by ewatrrr(10682)   on 2012-08-02 10:46:28 (Show Source): You can put this solution on YOUR website! ``` Hi, Let u = (x^3-2x), du = (3x^2 - 2)dx = (1/6)(x^3-2x)^6 + C ```
 test/634097: ∫ dx/(x+7)1 solutions Answer 399371 by ewatrrr(10682)   on 2012-08-02 10:40:28 (Show Source): You can put this solution on YOUR website! ``` Hi, Let u = (x+7), du = dx = ln |x+7| + C ```
 Sequences-and-series/634095: Write the explicit formula for the sequence. Then find the fifth term in the sequence. a1 = 3 , r = -31 solutions Answer 399369 by ewatrrr(10682)   on 2012-08-02 10:15:38 (Show Source): You can put this solution on YOUR website! ``` Hi, ```
 Linear-equations/634092: Find the distance between the two points. (Round your answer to the nearest hundredth.) (5,1) and (9,4) 1 solutions Answer 399368 by ewatrrr(10682)   on 2012-08-02 10:11:19 (Show Source): You can put this solution on YOUR website! ``` Hi, (9,4) (5,1) D = ```
 Equations/634088: Find all real solutions of the equation. x^2 + 5x - 6 = 0 1 solutions Answer 399367 by ewatrrr(10682)   on 2012-08-02 10:08:39 (Show Source): You can put this solution on YOUR website! ``` Hi, x^2 + 5x - 6 = 0 (x + 6)(x -1) = 0 x = -6 or x = 1 Use FOIL to check the factoring F First terms x^2 O Outside terms -x I Inside terms +6x L Last terms -6 ```
 Polynomials-and-rational-expressions/634076: divide the following expression 27z+23z^2+6z^3/2z+3 a. 3z^2+7z+3 and a remainder or -9 b. 3z^2+16z+3 and a remainder or 6 c. 3z+7 d. 5z^2+7z if you could show me how to get the answer I would really appreciate it1 solutions Answer 399365 by ewatrrr(10682)   on 2012-08-02 10:05:22 (Show Source): You can put this solution on YOUR website! ``` Hi, 27z+23z^2+6z^3/2z+3 = 3z^2 +7z + 3 R = -9 Found by doing routine long division 3z^2 + 7z + 3 2z +3|6z^3 + 23z^2 + 27z ```
 Polynomials-and-rational-expressions/634067: y=(x^3 -3x^2)/(2x-1)1 solutions Answer 399363 by ewatrrr(10682)   on 2012-08-02 09:57:30 (Show Source): You can put this solution on YOUR website! ``` Hi, y=(x^3 -3x^2)/(2x-1) = .5x^2 - 1.25x - .625 R = -.625 Found by doing routine long division 2x -1|x^3 - 3x^2 ```
 Equations/634063: -14-v/9=-121 solutions Answer 399362 by ewatrrr(10682)   on 2012-08-02 09:50:02 (Show Source): You can put this solution on YOUR website! ``` Hi, -2 = v/9 -18 = v ```
 test/634064: Find the area between the curves y=x^2 -3x and y=-x1 solutions Answer 399359 by ewatrrr(10682)   on 2012-08-02 09:38:34 (Show Source): You can put this solution on YOUR website! = = is the Area between the curves
 Rectangles/634050: The area of a square field is 100 sq m. less than the area of a rectangular field of dimensions 48 m and 12 m. Find the perimeter of the square.1 solutions Answer 399352 by ewatrrr(10682)   on 2012-08-02 08:57:41 (Show Source): You can put this solution on YOUR website! ``` Hi,Previously Posted The area of a square field is 100 sq m. less than the area of a rectangular field of dimensions 48 m and 12 m. , s = 21.81m, P = 87.27m^2 ```
 Probability-and-statistics/634051: a random variable X has the following probability distribution. x|1|2|3|4|5| p(x=x)|1/15|a|1/5|b|1/3| if E(x)=11/3 find the values of a and b 1 solutions Answer 399351 by ewatrrr(10682)   on 2012-08-02 08:51:31 (Show Source): You can put this solution on YOUR website! ``` Hi, if E(x)=11/3 find the values of a and b Two unknowns, needs 2 EQs... to find a and b I. or II. comes from the E(x) = or a + b = 2/5 2a + 4b = 4/3 |Verify the 2 Eqs and Solve for a and b ```
 Square-cubic-other-roots/634061: can You Explain the Venn Diagram??1 solutions Answer 399348 by ewatrrr(10682)   on 2012-08-02 08:34:13 (Show Source): You can put this solution on YOUR website! ``` Hi, couple of Examples: the idea is A(only) + B(only) + A&B + neiher A or B = Total Sample In this example: 5 + 9 + 3 + 7 would tell us we started witha sample of 24 Three Venn ```
 Equations/634052: the sum of two number is 32 and their diference is12 what is the smaller number? 1 solutions Answer 399344 by ewatrrr(10682)   on 2012-08-02 08:25:09 (Show Source): You can put this solution on YOUR website! ``` Hi, Let and represent the larger and smaller number respectively x+ y = 32 x- y = 12 |Adding the EQs to eliminate y 2x = 44 x = 22 and y = 10 , the smaller number ```
 Rectangles/634048: The area of a square field is 100 sq m. less than the area of a rectangular field of dimensions 48 m and 12 m. Find the perimeter of the square. 1 solutions Answer 399343 by ewatrrr(10682)   on 2012-08-02 08:19:50 (Show Source): You can put this solution on YOUR website! ``` Hi, The area of a square field is 100 sq m. less than the area of a rectangular field of dimensions 48 m and 12 m. , s = 21.81m, P = 87.27m^2 ```
 Age_Word_Problems/634057: 7 years ago, Timothy was 4 years old. Jasmine is now 3 years older than timothy. How old will jasmine be 9 years from now.1 solutions Answer 399342 by ewatrrr(10682)   on 2012-08-02 08:15:39 (Show Source): You can put this solution on YOUR website! ``` Hi, 7 years ago, Timothy was 4 years old. NOW Jasmine is now 3 years older than timothy. Jasmine NOW How old will jasmine be 9 years from now. ```
 Surface-area/634059: find the slant height of a square pyramid with a base of 8cm if its lateral area is 128cm^2 ? 1 solutions Answer 399341 by ewatrrr(10682)   on 2012-08-02 08:00:56 (Show Source): You can put this solution on YOUR website! ``` Hi, find the slant height of a square pyramid with a base of 8cm if its lateral area is 128cm^2 To find s, the idea is to first determine the area of each triangular side and apply: 0r s = 2A/b ```
 percentage/634056: Im having a hard time understanding questions that are like this please help! what is 9.2% of 581 solutions Answer 399340 by ewatrrr(10682)   on 2012-08-02 07:46:21 (Show Source): You can put this solution on YOUR website! ``` Hi, For ex: 50% of something is 1/2 of it... 50/100 = 1/2 = .50 If we were finding 50% of 58 that would be ...or half of it Likewise 9.2% of 58 = ```
 Exponents/634055: (-0.6)^-3 1 solutions Answer 399339 by ewatrrr(10682)   on 2012-08-02 07:36:39 (Show Source): You can put this solution on YOUR website! ``` Hi, Note: -1/.216 = -4.629 ```
 Volume/634053: The volume of a cubical water tank is 729 cubic metres. Find the height of the tank and the area of its bottom surface.1 solutions Answer 399338 by ewatrrr(10682)   on 2012-08-02 07:32:05 (Show Source): You can put this solution on YOUR website! ``` Hi, The volume of a cubical water tank is 729 cubic metres h = 9m and Area of its bottome surface is ```
 Miscellaneous_Word_Problems/633861: today the cook noted that he had 3 orders for french fries for every 10 people who ordered lunch. altogether, 42 people did not order french fries. how many people ordered lunch at hal's today1 solutions Answer 399222 by ewatrrr(10682)   on 2012-08-01 17:09:10 (Show Source): You can put this solution on YOUR website! ``` Hi, 3 orders for french fries for every 10 people 42 people did not order french fries how many people ordered lunch at hal's today Question Sets up a Proportion: || Cross Multiply to solve for x ```
 Graphs/633868: What is the value of x that satisfies the proportion x/3x-2 = 1/2? Which answer is it? a. 2 b. 4 c. 6 d. 81 solutions Answer 399219 by ewatrrr(10682)   on 2012-08-01 17:04:45 (Show Source): You can put this solution on YOUR website! ``` Hi, | Cross Multiplying to solve 2x = 3x-2 | solve for x ```
 Numeric_Fractions/633859: How you do 5/6 to %.1 solutions Answer 399217 by ewatrrr(10682)   on 2012-08-01 17:02:30 (Show Source): You can put this solution on YOUR website! ``` Hi, =.833 = percent ```