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# Recent problems solved by 'ewatrrr'

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 Probability-and-statistics/658524: Cumulative Standard Normal Score Distribution Charts. I sure hope one of you tutors have some earthly idea's on this. If you can explain in simple language how to find and work a z-score. Example: a question from my work sheet. Find the z-score for the standard normal distribution where: P(z<+a)=0.9625. or the other one is: If the random variable z is a Standard Normal Score, what is P(-2.00 <_ z <_ +2.00)? How did you find this probability? We are not suppoose to use any calulators or anything but the Cumulative Standard Normal Table Charts. 1 solutions Answer 410323 by ewatrrr(10682)   on 2012-09-28 11:24:11 (Show Source): You can put this solution on YOUR website! ``` Hi,Re TY, good news is that You will not be expected to do this "long-hand" that's why there are charts, Excel functions, calculators like the TI83, etc to find either the z-value given the P-value or the P-value given the z-value for ex: using Excel function: NORMSINV(.9625) = 1.7805 and P(-2.00 <_ z <_ +2.00)= NORMSDIST(2)-NORMSDIST(-2) = .9544 Important to Understand z -values as they relate to the Standard Normal curve: Below: z = 0, z = ± 1, z= ±2 , z= ±3 are plotted. Note: z = 0 , 50% of the area under the curve is to the left and 50% to the right This particular 'chart' below shows the amount of area under the Normal distribution curve between z = 0 and the z given (half the total area to the left of the z-value) that is to say one would add .50 to each entry for total area under the curve to the left of the z value. Highlighted + .50 is .9625 and P(z<+a)=0.9625, a = 1.78 (the 8 coming from the .08 column) As to P(-2.00 <_ z <_ +2.00) = .4772 + .4772 = .9544 Z 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.0 0.0000 0.0040 0.0080 0.0120 0.0160 0.0199 0.0239 0.0279 0.0319 0.0359 0.1 0.0398 0.0438 0.0478 0.0517 0.0557 0.0596 0.0636 0.0675 0.0714 0.0753 0.2 0.0793 0.0832 0.0871 0.0910 0.0948 0.0987 0.1026 0.1064 0.1103 0.1141 0.3 0.1179 0.1217 0.1255 0.1293 0.1331 0.1368 0.1406 0.1443 0.1480 0.1517 0.4 0.1554 0.1591 0.1628 0.1664 0.1700 0.1736 0.1772 0.1808 0.1844 0.1879 0.5 0.1915 0.1950 0.1985 0.2019 0.2054 0.2088 0.2123 0.2157 0.2190 0.2224 0.6 0.2257 0.2291 0.2324 0.2357 0.2389 0.2422 0.2454 0.2486 0.2517 0.2549 0.7 0.2580 0.2611 0.2642 0.2673 0.2704 0.2734 0.2764 0.2794 0.2823 0.2852 0.8 0.2881 0.2910 0.2939 0.2967 0.2995 0.3023 0.3051 0.3078 0.3106 0.3133 0.9 0.3159 0.3186 0.3212 0.3238 0.3264 0.3289 0.3315 0.3340 0.3365 0.3389 1.0 0.3413 0.3438 0.3461 0.3485 0.3508 0.3531 0.3554 0.3577 0.3599 0.3621 1.1 0.3643 0.3665 0.3686 0.3708 0.3729 0.3749 0.3770 0.3790 0.3810 0.3830 1.2 0.3849 0.3869 0.3888 0.3907 0.3925 0.3944 0.3962 0.3980 0.3997 0.4015 1.3 0.4032 0.4049 0.4066 0.4082 0.4099 0.4115 0.4131 0.4147 0.4162 0.4177 1.4 0.4192 0.4207 0.4222 0.4236 0.4251 0.4265 0.4279 0.4292 0.4306 0.4319 1.5 0.4332 0.4345 0.4357 0.4370 0.4382 0.4394 0.4406 0.4418 0.4429 0.4441 1.6 0.4452 0.4463 0.4474 0.4484 0.4495 0.4505 0.4515 0.4525 0.4535 0.4545 1.7 0.4554 0.4564 0.4573 0.4582 0.4591 0.4599 0.4608 0.4616 0.4633 1.8 0.4641 0.4649 0.4656 0.4664 0.4671 0.4678 0.4686 0.4693 0.4699 0.4706 1.9 0.4713 0.4719 0.4726 0.4732 0.4738 0.4744 0.4750 0.4756 0.4761 0.4767 2.0 0.4778 0.4783 0.4788 0.4793 0.4798 0.4803 0.4808 0.4812 0.4817 ```
 Miscellaneous_Word_Problems/658079: Suppose that the sum of two numbers is 19 and the sum of their squares is 221. Find the numbers.1 solutions Answer 410145 by ewatrrr(10682)   on 2012-09-27 14:44:51 (Show Source): You can put this solution on YOUR website! ``` Hi, the sum of two numbers& is 19 and the sum of their squares is 221 Question states*** x + y = 19 0r x^2 + y^2 = 221 x^2 + (19-x)^2 = 221 x^2 + 361-38x + x^2 = 221 2x^2 - 38x + 140 = 0 x^2 - 19x + 70 = 0 factoring (x - 14)(x-5) = 0 (x - 14)= 0, x = 14 and y = 5 0r(x-5) = 0, x = 5 and y = 14 numbers are 5 and 14 ```
 Travel_Word_Problems/658052: The supplement of an angle is 10 degrees more than 5 times its complement. Find the angle1 solutions Answer 410133 by ewatrrr(10682)   on 2012-09-27 13:34:09 (Show Source): You can put this solution on YOUR website! ``` Hi, The supplement of an angleis 10 degrees more than 5 times its complement Question states*** (180-x) = 5(90-x) + 10 || Solve for x ```
 Travel_Word_Problems/658033: Two buses leave at the same time in opposite directions. One bus is traveling at 57 mph and the other at 60 mph. How soon will they be at 643.5 miles away? 1 solutions Answer 410131 by ewatrrr(10682)   on 2012-09-27 13:29:46 (Show Source): You can put this solution on YOUR website! ``` Hi,Two buses leave at the same time in opposite directions. One bus is traveling at 57 mph and the other at 60 mph. Note: both will travel the same amount of time , t = 5.5hr ```
 Quadratic-relations-and-conic-sections/658044: Find the equation of the ellipse with vertices (0, -1) and (12, -1) and minor axis of length 6 And: What is the equation of the axis of symmetry of the parabola whose equation is 2(y - 2) = (x + 3)2? x = -3 x = 3 x = 0 y = -2 y = 21 solutions Answer 410129 by ewatrrr(10682)   on 2012-09-27 13:25:14 (Show Source): You can put this solution on YOUR website! ``` Hi, Standard Form of an Equation of an Ellipse is where Pt(h,k) is the center. (a variable positioned to correspond with major axis) a and b are the respective vertices distances from center (0, -1) and (12, -1), C(6,-1) and minor axis of length 6. b = 3 the vertex form of a Parabola opening up(a>0) or down(a<0), where(h,k) is the vertex and x = h is the Line of Symmetry x = -3 is the Line of Symmetry ```
 Linear-equations/658034: What are the x, y, and z values for the problems:3x+2y+z=7, 5x+5y+4z=3, 3x+2y+3z=1, and how to solve to get those values?1 solutions Answer 410125 by ewatrrr(10682)   on 2012-09-27 13:13:53 (Show Source): You can put this solution on YOUR website!``` Hi, 3x+2y+z=7, 5x+5y+4z=3, 3x+2y+3z=1 3x+2y+z=7 3x+2y+3z=1 || Subtract 2nd from 1st -2z = 6 z = -3 3x+ 2y = 10 ||multiply 1st EQ by 5 and subtract from 3 times the 2nd EQ 5x + 5y = 15 5y = -5 y = -1 and x = 4 and...Using 3x+2y+3z=1 ```
 Probability-and-statistics/658026: An experimental drug has been shown to be 75% effective in eliminating symptoms of allergies in animal studies. A small human study involving six participants is conducted. What is the probability that the drug is effective on more than half of the pariticpants?1 solutions Answer 410121 by ewatrrr(10682)   on 2012-09-27 12:50:43 (Show Source): You can put this solution on YOUR website!When posting Bionomial probability distribution questions..please post what you are using to find the cumulative probilities
 Word_Problems_With_Coins/658027: Frank has 50 coins, all quaters and dimes. If he has q quarters, how many dimes does he have? 1 solutions Answer 410118 by ewatrrr(10682)   on 2012-09-27 12:43:18 (Show Source): You can put this solution on YOUR website!``` Hi, Frank has 50 coins, all quaters and dimes. If he has q quarters, how many dimes does he have? ```
 Probability-and-statistics/658025: In a primary care clinic, 25% of all patients who have appointments fail to show up. Each clinic sessions has 10 scheduled appointments. 1) What is the probability that half of the patients fail to show up? 2) What is the probability that all patients show up? 3) In a week, there are 10 clinic sessions. How many patients would you expect to fail to show up?1 solutions Answer 410116 by ewatrrr(10682)   on 2012-09-27 12:41:40 (Show Source): You can put this solution on YOUR website!``` Hi, In a primary care clinic, 25% of all patients who have appointments fail to show up. 10 scheduled appointments: P(1/2 show up) = P(all show) = week: 100 appointments. Would expect = 25 to not show Up ```
 Reduction-of-unit-multipliers/658024: 10 gallons cost \$45 but has a 10% discount1 solutions Answer 410114 by ewatrrr(10682)   on 2012-09-27 12:31:47 (Show Source): You can put this solution on YOUR website! ``` Hi, 10 gallons cost \$45 but has a 10% discount With a 10% discount, the sale price is 90% of the original price 90% of \$45 is = \$40.50 ```
 Proportions/657987: solve the proprstion xOver 100= 80 Over 51 solutions Answer 410112 by ewatrrr(10682)   on 2012-09-27 12:28:54 (Show Source): You can put this solution on YOUR website! ``` Hi, | Cross Multiplying to solve 5x = 8000 x = 1600 ```
 Equations/658022: The measure of the smallest angle of a triangle is 1/4 the measure of the largest angle. The measure of the second angle is 45 degrees less than the measure of the largest angle. Find the measure of the angles of the triangle. Ex: x+1/5x+1/2x+10=180 The three angles sum to 180 degrees.1 solutions Answer 410110 by ewatrrr(10682)   on 2012-09-27 12:24:20 (Show Source): You can put this solution on YOUR website! ``` Hi, The measure of the smallest angle of a triangle is 1/4 the measure of the largest angle. The measure of the second angle is 45 degrees less than the measure of the largest angle. Question states*** x/4 + (x-45) + x = 180° (9/4)x = 225 x = 225(4/9)= 100°, the Largest angle. Smallest 25° and other is 55° and... ```
 Quadratic-relations-and-conic-sections/658020: Which of the following are true about the parabola with equation x2=12y? Choose all that apply: The focus is (0,3). The directrix is y=-3. The focus is (0,-3). The vertex is (0,0).1 solutions Answer 410107 by ewatrrr(10682)   on 2012-09-27 12:18:21 (Show Source): You can put this solution on YOUR website! ``` Hi, Note: vertex form of a Parabola opening up(a>0) or down(a<0), where(h,k) is the vertex and x = h is the Line of Symmetry The standard form is , where the focus is (h,k + p) , V(0,0), 4p = 12, p = 3, F(0,3) and directrix is y = -3 ```
 Evaluation_Word_Problems/658008: One angle in a triangle has a measure that is three times as large as the smallest angle. The measure of the third angle is 45 degrees more than that of the smallest angle. Find the measure of the LARGEST angle.1 solutions Answer 410104 by ewatrrr(10682)   on 2012-09-27 12:11:46 (Show Source): You can put this solution on YOUR website! ``` Hi, One angle in a triangle has a measure that is three times as large as the smallest angle. The measure of the third angle is 45 degrees more than that of the smallest angle. smallest angle: x 2nd angle: 3x 3rd angle: x + 45 Question states*** x + 3x + (x+ 45) = 180° 5x = 135° x = 27° , smallest angle. largest is 81° and (3rd angle is 72° ) 27° + 81° + 72° = 180° ```
 Linear-equations/658013: Write the slope-intercept equation for the line with slope -5/6 and y-intercept (0, 4) and graph the line. 1 solutions Answer 410103 by ewatrrr(10682)   on 2012-09-27 12:05:00 (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. slope -5/6 and y-intercept (0, 4) and (6, -1) also on this Line (x = 6 ⇒ y = -1) Plot (x,y) ordered pairs: (0,4) and (6, -1) and connect with Line ```
 Word_Problems_With_Coins/658015: Sam has five more dimes than quaters and four fewer nickels than quaters. If he has a total of \$4. how many of each does he have? 1 solutions Answer 410102 by ewatrrr(10682)   on 2012-09-27 12:00:18 (Show Source): You can put this solution on YOUR website! ``` Hi, this makes more CENTS :) Sam has five more dimes than quarters and four fewer nickels than quarters Quarters: x Dimes: x+5 Nickels: x - 4 Question states***total of \$4 0r 470 CENTS CENTS makes sense 25x + 10(x+5) + 5(x-4) = 470¢ 40x + 50 - 20 = 470 40x = 440 x = 11, number of quarters. 16 Dimes and 7 Nickels and = 470¢ 0r \$4.70 ```
 Word_Problems_With_Coins/658016: Sam has five more dimes than quaters and four fewer nickels than quaters. If he has a total of \$4.70 how many of each does he have? 1 solutions Answer 410101 by ewatrrr(10682)   on 2012-09-27 11:59:54 (Show Source): You can put this solution on YOUR website! ``` Hi, this makes more CENTS :) Sam has five more dimes than quarters and four fewer nickels than quarters Quarters: x Dimes: x+5 Nickels: x - 4 Question states***total of \$4 0r 470 CENTS CENTS makes sense 25x + 10(x+5) + 5(x-4) = 470¢ 40x + 50 - 20 = 470 40x = 440 x = 11, number of quarters. 16 Dimes and 7 Nickels and = 470¢ 0r \$4.70 ```
 Problems-with-consecutive-odd-even-integers/658012: find three consecutive odd integers whose sum is 75 2(4x-3)-8=4+2x 2/3(3x+18)=5x-9 these are two problems that I have attempted to solve but I am not sure if thery are correct 1 solutions Answer 410100 by ewatrrr(10682)   on 2012-09-27 11:51:19 (Show Source): You can put this solution on YOUR website! ``` Hi, x + (x+2) + (x+4) = 75, 3x = 69, x = 23 ||| 23, 25, 27 the 3 consecutive odd integers "PEMDAS", "Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction". 2(4x-3)-8=4+2x 8x - 6 - 8 = 4 + 2x, 6x = 18, x = 18/6 0r x = 3 2/3(3x+18)=5x-9 2x + 12 = 5x - 3, 15 = 3x, x = 5 ```
 Money_Word_Problems/658003: An adult ticket for the fair (a) is 7 dollars more than a childs ticket which cost 5 dollars, if two adults and three children go to the fair how much will the tickets cost all together? -how do i work this problem out and whats the answer1 solutions Answer 410099 by ewatrrr(10682)   on 2012-09-27 11:45:03 (Show Source): You can put this solution on YOUR website! ``` Hi, An adult ticket for the fair is 7 dollars more than a childs ticket which cost 5 dollars childs ticket: \$5 adult ticket : a = \$5 + \$7 = \$12 Cost of two adults and three children: = \$39 ```
 Triangles/658007: 1 solutions Answer 410098 by ewatrrr(10682)   on 2012-09-27 11:40:58 (Show Source): You can put this solution on YOUR website!Your question did not make the trip, please repost
 test/658005: 1 solutions Answer 410097 by ewatrrr(10682)   on 2012-09-27 11:40:09 (Show Source): You can put this solution on YOUR website!no question listed
 Geometry_proofs/658004: -4x + 10 = -5x + 181 solutions Answer 410096 by ewatrrr(10682)   on 2012-09-27 11:39:23 (Show Source): You can put this solution on YOUR website! ``` Hi, Combining Like Terms and Isolating the variable on one side of the EQ -4x + 10 = -5x + 18 |||adding 5x and -10 to both sides of the EQ x = 8 By isolating the variable...now we can read ```
 Age_Word_Problems/657995: The Jones family has 3 kids. The oldest girl is three times older than the youngest. The middle girl is 3 years older than the youngest. The sum of their age is 28. What is the age of the middle girl 1 solutions Answer 410093 by ewatrrr(10682)   on 2012-09-27 11:23:41 (Show Source): You can put this solution on YOUR website! ``` Hi, The oldest girl is three times older than the youngest age . The middle girl is 3 years older than the youngest. youngest: x middle girl: x+ 3 oldest girl: 3x Question states***The sum of their age is 28 x + (x+3) + 3x = 28 5x = 25 x = 5, the age of the youngest. The middle girl is 8 and (oldest is 15) ```
 Graphs/657998: two more than 6 times a number is less than 11 1 solutions Answer 410092 by ewatrrr(10682)   on 2012-09-27 11:16:37 (Show Source): You can put this solution on YOUR website! ``` Hi, two more than 6 times a number is less than 11 Question states*** 6x+ 2 < 11 6x < 9 x < 9/6 0r x < 3/2 ```
 Inequalities/657992: how to solve this problem 7x-9x+10=-4x+6 1 solutions Answer 410091 by ewatrrr(10682)   on 2012-09-27 11:14:35 (Show Source): You can put this solution on YOUR website! ``` Hi, how to solve this problem Combining Like Terms and isolating the variable on one side of the EQ 7x-9x+10=-4x+6 -2x + 10 = -4x + 6 ||adding 4x and -10 to both sides of the EQ 2x = -4 x = -2 ```
 Equations/657996: if a+b=39 and a-b=11, what are a & b?1 solutions Answer 410090 by ewatrrr(10682)   on 2012-09-27 11:11:29 (Show Source): You can put this solution on YOUR website! ``` Hi, a+b=39 and a-b=11 || Adding the two EQs to eliminate b 2a = 50 a = 25 and b = 14 ```
 Problems-with-consecutive-odd-even-integers/657991: Find the three consecutive integers such that four times the square of the third, less than three times the square of the first, minus 41, is twice the square of the second1 solutions Answer 410089 by ewatrrr(10682)   on 2012-09-27 11:09:08 (Show Source): You can put this solution on YOUR website! ``` Hi, three consecutive integers , & such that four times the square of the third, less than three times the square of the first, minus 41, is twice the square of the second Question states*** 4(x+2)^2 - 3x^2 - 41 = 2(x+1)^2 4(x^2 + 4x + 4) - 3x^2 - 41 = 2(x^2 + 2x+ 1) 4x^2 + 16x + 16 - 3x^2 - 41 = 2x^2 + 4x + 2 0 = x^2 - 12x + 27 0 = (x-9)(x-3) x = 9 0r x = 3 Integers are 9, 10, 11 0r 3,4,5 ```
 Word_Problems_With_Coins/657928: If four times a certain number increased by 6 is equal to 94, what is the number?1 solutions Answer 410088 by ewatrrr(10682)   on 2012-09-27 10:59:04 (Show Source): You can put this solution on YOUR website! ``` Hi, four times a certain number increased by 6 is equal to 94 Question states*** 4n + 6 = 94 4n = 88 n = 22 ```
 Numbers_Word_Problems/657980: the sum of three numbers is 75. The second number is 5 more than 4 times the first, and the third is 2 times the first. Find the second number1 solutions Answer 410086 by ewatrrr(10682)   on 2012-09-27 10:49:32 (Show Source): You can put this solution on YOUR website! ``` Hi, the sum of three numbers is 75. The second number is 5 more than 4 times the first, and the third is 2 times the first. first number: x second number: 4x+5 third number: 2x Question states*** sum of these numbers is 75 x + (4x+5) + 2x = 75 7x = 70 x = 10, first number. Second number is 45. and...(third is 20) ```
 Triangles/657962: If a regular triangle has a perimeter of 12x + 3, what is an expression for the length of one of its sides?1 solutions Answer 410085 by ewatrrr(10682)   on 2012-09-27 10:44:25 (Show Source): You can put this solution on YOUR website!``` Hi, Question states***regular triangle has a perimeter of 12x + 3 regular triangle is an equilateral triangle (a triangle in which all three sides are equal) expression for the length of one of its sides is: 4x+1 ```
 test/657935: Solve for r C= 2(pie)r1 solutions Answer 410072 by ewatrrr(10682)   on 2012-09-27 09:52:39 (Show Source): You can put this solution on YOUR website! ``` Hi, ```