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ewatrrr answered: 10675 problems
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Polynomials-and-rational-expressions/633139: show me the work and answer to (4pq)(-p2q3)
1 solutions

Answer 398679 by ewatrrr(10682) About Me  on 2012-07-30 10:51:10 (Show Source):


Quadratic_Equations/633140: If X= 6+8+12
Y= 9+13+7
So what is the value of X square Y square.

1 solutions

Answer 398675 by ewatrrr(10682) About Me  on 2012-07-30 10:48:06 (Show Source):
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Hi,
RE TY: Perhaps did not understand Your question:
X^2 = 676 and Y^2 = 841, are You wanting the product 676%2A871?
If X= 6+8+12 = 26
Y= 9+13+7 = 29
Then
X^2 = 26%2A26+=+676
Y^2 = 29%2A29+=+841


Linear_Equations_And_Systems_Word_Problems/633138: If 3 chairs and 1 table cost rs.900 and 5 chairs and 3 table cost rs.2100, then the cost of 4 chairs and 1 table is?
1 solutions

Answer 398674 by ewatrrr(10682) About Me  on 2012-07-30 10:44:37 (Show Source):
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Hi,
3 chairs and 1 table cost rs.900 and 5 chairs and 3 table cost rs.2100
Let x and y represent the cost of a chair and a table respectively
3x + y = 900
5x + 3y = 2100 |Multiplying the 1st Eq by 3 and subtracting from 2nd EQ
-4x = -600
x = 150, chair cost. Table Cost is rs. 450
and...cost of 4 chairs and 1 table is?
4%2A150+%2B+450 = rs. 1050


test/633014: Write the equation of a parabola with vertex (1,-9) and directrix y=-9-7
1 solutions

Answer 398665 by ewatrrr(10682) About Me  on 2012-07-30 08:06:30 (Show Source):
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Hi,
parabola with vertex (1,-9) and directrix y = -9-7
Note: The standard form is %28x+-h%29%5E2+=+4p%28y+-k%29, where the focus is (h,k + p) and Directrix is y = (k-p)
p = 7, 4p = 28 , standard form is %28x+-1%29%5E2+=+28%28y+%2B9%29, Vertex form: y = 1/28(x-1)^2 - 9
the vertex form of a Parabola opening up(a>0) or down(a<0), y=a%28x-h%29%5E2+%2Bk
where(h,k) is the vertex and x = h is the Line of Symmetry



Matrices-and-determiminant/632917: Solve the following system of equations by using the inverse of the coefficent Matrix (AX=B) x+3y=-9 5x+8y=-31 i also need the ordered pair solution
1 solutions

Answer 398549 by ewatrrr(10682) About Me  on 2012-07-29 15:15:09 (Show Source):
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Hi,
Note: Post each question separately, not necessary to use pictures,
just list Eqs with the following instructions:
Solve the system of equations by using the inverse of the coefficient matrix.
x+3y = -9
5x+8y = -31
A+=%28+matrix%282%2C2%2C1%2C3%2C5%2C8%29%29 = -7
adjA+=+%28matrix%282%2C2%2C8%2C-3%2C-5%2C1%29%29 Note: How the above numbers flipped and the 2 minuses
A%5E%28-1%29 = (1/-7)+%28matrix%282%2C2%2C8%2C-3%2C-5%2C1%29%29+
A%5E%28-1%29+=++%28matrix%282%2C2%2C-8%2F7%2C3%2F7%2C5%2F7%2C-1%2F7%29%29+
and...

Ordered pair (-3,-2) the solution for this system of equations
Checking our answer using the Elimination Method:
x+3y= -9
5x+8y= -31 |multiplying 1st EQ by 5 and Subtracting from the 2nd EQ
-7y = 14
y = -2 and x = -3 as -3+%2B+3%2A%28-2%29+=+-9
(x,y) Ordered pair (-3,-2) the solution for this system of equations


Rational-functions/632913: solve rational inequality. write the solution set in interval notation.
(x-3)(x+7)/x-4<=0

1 solutions

Answer 398545 by ewatrrr(10682) About Me  on 2012-07-29 14:51:31 (Show Source):
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Hi,
%28x-3%29%28x%2B7%29%2F%28x-4%29 <=0}}}
{ x | x ≤ -8 or 3 ≤ x < 4}}}
Note graph of
%28x-3%29%28x%2B7%29%2F%28x-4%29



Numeric_Fractions/632908: what fraction of an hour is 35 minutes?
1 solutions

Answer 398544 by ewatrrr(10682) About Me  on 2012-07-29 14:39:22 (Show Source):
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Hi,
what fraction of an hour is 35 minutes? 35%2F60+=+7%2F12


Money_Word_Problems/632909: what is a better investment: 1000.00 at 3 percent for 20 years or
$500.00 at 7 percent for 20 years?
1 solutions

Answer 398543 by ewatrrr(10682) About Me  on 2012-07-29 14:36:45 (Show Source):
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Hi,
1000(1.03)^20 = $1806.11
500(1.07)^20 = $1934.84


Permutations/632886: In how many ways can 3 boys and 5 girls be arranged in a row so that all the 3 boys are together
1 solutions

Answer 398540 by ewatrrr(10682) About Me  on 2012-07-29 14:27:10 (Show Source):
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Hi,
In how many ways can 3 boys and 5 girls be arranged in a row so that all the 3 boys are together
I. letting the 3 boys be considered 1 unit
II. and taking into consideration: they, themselves can be arranged 6 different ways
6%2A6%21+ ways


t e s t/632892: Solve the following system of equations by using the inverse of the coefficent i need the answers for these 3 problems in the screenshot here and i also need the complete equation soultion in ordered pair format please that will be the 2nd part Question1: http://tinypic.com/view.php?pic=21ams69&s=6
Question2: http://tinypic.com/view.php?pic=242wu55&s=6
Question3: http://tinypic.com/view.php?pic=2gxdyx4&s=6 and last but not least the last part of these questions is i need to find the ordered pair of each please here is an example of the next step the problem that is on the left of the screen is what it looks like http://oi47.tinypic.com/2cpx6l0.jpg
1 solutions

Answer 398539 by ewatrrr(10682) About Me  on 2012-07-29 14:16:29 (Show Source):
You can put this solution on YOUR website!
 
Hi,
Note: Post each question separately, not necessary to use pictures,
just list Eqs with the following instructions:
Solve the system of equations by using the inverse of the coefficient matrix.
x+2y = -12
2x+2y = -16
A+=%28+matrix%282%2C2%2C1%2C2%2C2%2C2%29%29 = -2
adjA+=+%28matrix%282%2C2%2C2%2C-2%2C-2%2C1%29%29
A%5E%28-1%29 = (1/-2)%28matrix%282%2C2%2C2%2C-2%2C-2%2C1%29%29+
A%5E%28-1%29+=++%28matrix%282%2C2%2C-1%2C1%2C1%2C-1%2F2%29%29+
and...

Ordered pair (-4,-4) the solution for this system of equations
Checking our answer using the Elimination Method:
x+2y = -12
2x+2y = -16 |Subtracting 1st EQ from the 2nd
x = -4 and y = -4 as -4+%2B2%2A%28-4%29+=+-12
(x,y) Ordered pair (-4,-4) the solution for this system of equations


Probability-and-statistics/632884: Hi, I have no idea how to solve this problem. In fact, I'm completely confused...can someone help me out? Thank you very much!!


Consider the probability distribution shown below and answer the following questions. Show calculations for each computation.
x -4 -3 -2 -1 0 1 2 3 4
P(x) 0.02 0.07 .10 .15 .3 .18 .10 .06 .02
Answer Calculations
Calculate μ
Calculate σ^2 and σ

1 solutions

Answer 398532 by ewatrrr(10682) About Me  on 2012-07-29 12:53:22 (Show Source):
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Hi, Previously Posted
Calculate the Expected Value(Sum of PX) = μ = 0
Then Calculate the Variance(Sum of P[X-μ]^2) = 2.94
σ = sqrt%282.94%29+=+1.7146
X P PX P[X-μ]^2 mu+=+0
-4 0.02 -0.08 0.32 Note: %28-4%29%5E2+%2A+.02+=+.32
-3 0.07 -0.21 0.63
-2 0.1 -0.2 0.4
-1 0.15 -0.15 0.15
0 0.3 0 0
1 0.18 0.18 0.18
2 0.1 0.2 0.4
3 0.06 0.18 0.54
4 0.02 0.08 0.32
Sum 0 2.94


Probability-and-statistics/632891: Hi! Can someone please help me with this problem? I have no idea how to do this and I am completely confused. Thank you very much for your help!

Consider the probability distribution shown below and answer the following questions. Show calculations for each computation.
x -4 -3 -2 -1 0 1 2 3 4
P(x) 0.02 0.07 .10 .15 .3 .18 .10 .06 .02
Calculate μ
Calculate σ^2 and σ

1 solutions

Answer 398526 by ewatrrr(10682) About Me  on 2012-07-29 12:38:42 (Show Source):
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Hi,
Calculate the Expected Value(Sum of PX) = μ = 0
Then Calculate the Variance(Sum of P[X-μ]^2) = 2.94
SD = sqrt%282.94%29+=+1.7146
X P PX P[X-μ]^2 mu+=+0
-4 0.02 -0.08 0.32 %28-4%29%5E2+%2A+.02+=+.32
-3 0.07 -0.21 0.63
-2 0.1 -0.2 0.4
-1 0.15 -0.15 0.15
0 0.3 0 0
1 0.18 0.18 0.18
2 0.1 0.2 0.4
3 0.06 0.18 0.54
4 0.02 0.08 0.32
Sum 0 2.94


Probability-and-statistics/632879: Billie wishes to test the hypothesis that overweight individuals tend to eat faster than normal-weight individuals. To test this hypothesis, she has two assistants sit in a McDonald’s restaurant and identify individuals who order the Big Mac special for lunch. The Big Mackers as they become known are then classified by the assistants as overweight, normal weight, or neither overweight nor normal weight. The assistants identify 10 overweight and 10 normal weight Big Mackers. The assistants record the amount of time it takes them to eight the Big Mac special.
1.0 585.0
1.0 540.0
1.0 660.0
1.0 571.0
1.0 584.0
1.0 653.0
1.0 574.0
1.0 569.0
1.0 619.0
1.0 535.0
2.0 697.0
2.0 782.0
2.0 587.0
2.0 675.0
2.0 635.0
2.0 672.0
2.0 606.0
2.0 789.0
2.0 806.0
2.0 600.0
a) Compute an independent-samples t-test on these data. Report the t-value and the p values. Where the results significant? (Do the same thing you did for the t-test above, only this type when you go to compare means, click on independent samples t-test. When you enter group variable into grouping variable area, it will ask you to define the variables. Click define groups and place the number 1 into 1 and the number 2 into 2).
b) What is the difference between the mean of the two groups? What is the difference is standard deviation?
c) What is the null and alternative hypothesis? Do the data results lead you to reject or fail to reject the null hypothesis?
d) What do the results tell you?

1 solutions

Answer 398521 by ewatrrr(10682) About Me  on 2012-07-29 11:44:49 (Show Source):
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Hi,
H%5Bo%5D: m%5B1%5D+-+m%5B2%5D+=+0
H%5Ba%5D: m%5B1%5D+-+m%5B2%5D+%3C+0
t-Test: Two-Sample Assuming Unequal Variances

1 2
Mean 589 684.9
Variance 1816 6760.988889
SD 42.61455151 82.22523268
Observations 10 10
Hypothesized Mean Difference 0
df 14
t Stat -3.274546662 p = .0005
P(T<=t) one-tail 0.002767826
t Critical one-tail 1.76130925
P(T<=t) two-tail 0.005535651
t Critical two-tail 2.144788596 p= .016
.0005 < .016 , reject null hypothesis
Group 1 eats faster than group 2


Expressions-with-variables/632866: Solve the following system algebraically: +3x%2B5y-z=2+ +-x-8y%2B3z=-6+ +3z=2x+
What I have tried: +3z+=+2x+ -> +3z%2F2=x+; +3x+%2B+5y+%96+z+=+2+ -> +3%283z%2F2%29%2B5y-z=2+ -> +y=%28-9z%2F2%2Bz%2B2%29%2F5%29+; +-x-8y%2B3z=-6+ -> +-%283z%2F2%29+-8%28%28-9z%2F2%2Bz%2B2%29%2F5%29%2B3z=-6+ -> i multiplied every thing by 2 and got -> +-3z%2B%2872-16z-32%2F5%29%2B6z=-12+ -> i multiplied every thing by 5 and got -> +-15z%2B72-16z-32%2B30z=-60+ -> +-z%2B40=-60+ -> +z=100+ -> i plugged this number into the third top equation and got x=150, and plugged z and x into the second equation and got y=18. But when i plug these numbers into the first equation, the answer is wrong. I cannot figure out what I am doing wrong?
1 solutions

Answer 398520 by ewatrrr(10682) About Me  on 2012-07-29 11:12:39 (Show Source):
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Hi,
Note: general Procedure is to first the eliminate one of the variables using a pair of EQs
+3x%2B5y-z=2+
+-x-8y%2B3z=-6+ |Multiplying 2nd Eq by 3 and adding to the first
y+=+%28-8%2F7%29x
+3z=2x+ z+=+%282%2F3%29x
+3x%2B5y-z=2+ | Substituting for y and z
x = -.5915
y = %28-8%2F7%29%28-.5915%29+=+.6761
z = %282%2F3%29%28-.5915%29+=+-.3944


Linear-equations/632662: Find the slope and y intercept of the line in the given equation y= 2/3x-8

1 solutions

Answer 398435 by ewatrrr(10682) About Me  on 2012-07-28 16:36:06 (Show Source):
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Hi
Find the slope and y intercept of the line in the given equation
y= 2/3x-8
y = mx + b
m = 2%2F3 and y-intercept is - 8



�t�e�s�t/632693: The length of a computer case times its width is
1 solutions

Answer 398434 by ewatrrr(10682) About Me  on 2012-07-28 16:32:57 (Show Source):
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Hi,
The length of a computer case times its width is


Numbers_Word_Problems/632638: the smaller of two number is 9 less than the larger, and their sum is 38. Find the numbers

1 solutions

Answer 398433 by ewatrrr(10682) About Me  on 2012-07-28 16:29:46 (Show Source):
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Hi,
highlight%28y%29 , the smaller of two number is 9 less than the largerhighlight%28x%29
Question states***
y + x = 38 || y = x-9
(x-9) + x = 38
2x - 9 = 38
2x = 47
x = 47/2 0r 23%261%2F2 and y = 14%261%2F2 ( 9 less)
and...
23%261%2F2 + 14%261%2F2 = 38


Numeric_Fractions/632711: Multipy Give you answer as a whole or mixed number
195*44/65*4/9
1 solutions

Answer 398431 by ewatrrr(10682) About Me  on 2012-07-28 16:17:31 (Show Source):


Quadratic-relations-and-conic-sections/632706: Find the slopes of the asymptotes of the hyperbola with the equation 36 = 9x^2 – 4y^2
1 solutions

Answer 398429 by ewatrrr(10682) About Me  on 2012-07-28 16:09:50 (Show Source):
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Hi,
36 = 9x^2 – 4y^2
x%5E2%2F2%5E2+-+y%5E2%2F3%5E2+=+1
y = ± 3/2x
Standard Form of an Equation of an Hyperbola opening right and left is:
%28x-h%29%5E2%2Fa%5E2+-+%28y-k%29%5E2%2Fb%5E2+=+1 with C(h,k) and vertices 'a' units right and left of center,
& Asymptotes Lines passing thru C(h,k), with slopes m = ± b/a



Travel_Word_Problems/632681: I ride a bicycle 6.2 miles each morning. It takes me 40 minutes to travel this distance. What is my rate of travel?
1 solutions

Answer 398411 by ewatrrr(10682) About Me  on 2012-07-28 13:50:50 (Show Source):
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Hi,
6.2 (6%261%2F5) miles taking 40min (%282%2F3%29+hr)
%2832%2F5%29mi%2F%282%2F3%29hr+=+96%2F10+=+9.6mph


real-numbers/632666: (72÷(-4)+3(-4))/(5-(-5))
1 solutions

Answer 398403 by ewatrrr(10682) About Me  on 2012-07-28 13:10:05 (Show Source):
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Hi,
If you meant:
%2872%2F%28-4%29%2B3%28-4%29%29%2F%285-%28-5%29%29=+%28-30%29%2F10+=+-3


Graphs/632667: Find and label the vertex and the line of symmetry f(x) = -2(x+3)^2

1 solutions

Answer 398402 by ewatrrr(10682) About Me  on 2012-07-28 13:03:14 (Show Source):
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Hi,
f(x) = -2(x+3)^2
V(-3,0) and line of symmetry is x = -3
Note: the vertex form of a Parabola opening up(a>0) or down(a<0), y=a%28x-h%29%5E2+%2Bk
where(h,k) is the vertex and x = h is the Line of Symmetry



Equations/632668: A bullet train leaves the station traveling west at 164 mph. a pigeon starts flying east at 40 mph. After two hours, how far apart are the pigeon and the train?
I have a diagram and have solved the equation but have struggled with putting my info into a table. Please help. This is my start.
rate(mph)
train 164
pigeon 40

1 solutions

Answer 398401 by ewatrrr(10682) About Me  on 2012-07-28 12:56:32 (Show Source):
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Hi,
Question states*** Traveling in opposite directions for 2 hours
r t D= rt
train 164 2 328
pigeon 40 2 80
After two hours, the pigeon and the train are 408 mi apart


Equations/632665: Can you Help me with this equation: (-2/3)D-5/6=(3/4)D+(1/2)D+5/8
1 solutions

Answer 398400 by ewatrrr(10682) About Me  on 2012-07-28 12:47:23 (Show Source):
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Hi,
%28-2%2F3%29D-5%2F6=%283%2F4%29D%2B%281%2F2%29D%2B5%2F8 |Multiplying thru by 24 so as all denominators = 1
+-16D+-+20+=+18D+%2B+12D+%2B+15 |Solve for D
-35+=+46
-35%2F46+=+D


Percentage-and-ratio-word-problems/632661: in a class of 28 students, 18 pass the final. what percent pass the exam?
1 solutions

Answer 398399 by ewatrrr(10682) About Me  on 2012-07-28 12:41:11 (Show Source):
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Hi,
in a class of 28 students, 18 pass the final: 18/28 = .6429 or 64.29% passed


Graphs/632659: Could you help me solve a regression equation problem.
profit=0.15x-28 slope
1 solutions

Answer 398396 by ewatrrr(10682) About Me  on 2012-07-28 12:38:37 (Show Source):
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Hi,
If I am understanding your question properly
P = .15x -28 || As in y = mx + b, where m is the slope and b the y-intercept
m = .15



Signed-numbers/632654: √(b²-4ac;) b = 3, a = -1, c = -2
1 solutions

Answer 398393 by ewatrrr(10682) About Me  on 2012-07-28 12:27:50 (Show Source):
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Hi
b = 3, a = -1, c = -2


Money_Word_Problems/632643: Gino,Gary, Gerry and Gemo are going to be paid 847.00 pesos for serving in Mr Pere's gasoline STATION. They each worked 5 hours, except Gerry, Who was 45 minutes late. How much should each one paid?

1 solutions

Answer 398390 by ewatrrr(10682) About Me  on 2012-07-28 12:21:51 (Show Source):
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Hi
each worked 5 hours, except Gerry, Who was 45 minutes late. (together worked 19%261%2F4hrs)
Each earned: 847/19.25 = 44 pecos/hr
Gino, 220
Gary, 220
Gerry, 176 + 11 = 187
Gemo, 220


Money_Word_Problems/632648: What are the repeating digits in the decimal equivalent of 19/31?
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Answer 398389 by ewatrrr(10682) About Me  on 2012-07-28 12:10:03 (Show Source):
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Hi,
19/31 = .612903225806451


Equations/632634: Given the equation y= -4/3 x + 1 find the coordinates of the point (-6), (-3), and (6,)
1 solutions

Answer 398378 by ewatrrr(10682) About Me  on 2012-07-28 10:44:43 (Show Source):
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Hi,
x y = (-4/3)x + 1
-6 9
-3 5
6 -7
Ordered Pairs: (-6,9), (-3,5), (6,-7)
Plotting the coordinates and connecting with a line.
Line is the graph ofy = (-4/3)x + 1



decimal-numbers/632621: Write in decimal form (3 x 10^1) + (4 x 10^0).
1 solutions

Answer 398377 by ewatrrr(10682) About Me  on 2012-07-28 10:37:00 (Show Source):
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Hi,
Write in decimal form
(3 x 10^1) + (4 x 10^0)
3%2A10+%2B+4%2A1
30 + 4 = 34