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Probability-and-statistics/360957: a test consists of 100 true or false questions. If the students guesses on each question, what is the mean number of correct answer
1 solutions

Answer 257531 by Fombitz(13828) About Me  on 2010-10-24 20:34:17 (Show Source):
You can put this solution on YOUR website!
Each answer has a probability of p=0.5.
For a binomial distribution,
E%28X%29=np=100%280.5%29=50
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.
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50 correct answers.



Linear-equations/360973: 5x-6y=-4 ; x=y
1 solutions

Answer 257530 by Fombitz(13828) About Me  on 2010-10-24 20:32:05 (Show Source):
You can put this solution on YOUR website!
1.5x-6y=-4
2.x=y
Substitute eq. 2 into eq. 1,
5x-6x=-4
-x=-4
highlight%28x=4%29
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.
highlight%28y=4%29


Triangles/360969: in triangle ABC, angle A=6x+11, Angle B=3x-1, and Angle C=5x+2. Solve for x and find the measure of each interior angle. Also, find the measure of the exterior angle at B.
1 solutions

Answer 257529 by Fombitz(13828) About Me  on 2010-10-24 20:30:33 (Show Source):
You can put this solution on YOUR website!
The sum of the interior angle of a triangle are 180.
A%2BB%2BC=180
6x%2B11%2B3x-1%2B5x%2B2=180
14x%2B12=180
14x=168
x=12
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A=12%2B11
highlight%28A=33%29degrees
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B=36-1
highlight%28B=35%29degrees
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C=60%2B2
highlight%28C=62%29}degrees
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B%5Bin%5D%2BB%5Bext%5D=360
35%2BB%5Bext%5D=360
B%5Bext%5D=325degrees


Unit_Conversion_Word_Problems/360935: It takes 2 people 24 minutes to feed 18 cats.
Working at the same rate, how many minutes should it take
3 people to feed 18 cats?
1 solutions

Answer 257528 by Fombitz(13828) About Me  on 2010-10-24 20:24:37 (Show Source):
You can put this solution on YOUR website!
It take 2%2A24=48 people-minutes to feed 18 cats.
3%2AT=48
highlight%28T=16%29minutes


Polynomials-and-rational-expressions/360954: algebra 2 how to factor 2n^2+10=82
1 solutions

Answer 257527 by Fombitz(13828) About Me  on 2010-10-24 20:23:28 (Show Source):


Probability-and-statistics/360983: --------------- QUESTION FOLLOWS --------------------------
How many green elements ae required to make this a legitimate probability distrubtion if there are a total of 50 elements in this sample?
X
red
blue
orange
brown
green




P(x)
0.10
0.10
0.18
0.22
1 solutions

Answer 257526 by Fombitz(13828) About Me  on 2010-10-24 20:22:08 (Show Source):
You can put this solution on YOUR website!
To be a legitimate distribution, it needs to sum to 1.0 so find P(G).
0.1%2B0.1%2B0.18%2B0.22%2BP%28G%29=1
P%28G%29=0.4
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.
.
N%5BG%5D=0.4%2850%29
highlight%28N%5BG%5D=20%29


Rational-functions/360941: How do I find the range of the function sqrt x(x-20)?
1 solutions

Answer 257525 by Fombitz(13828) About Me  on 2010-10-24 20:19:07 (Show Source):
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Square root function have values that start at zero (for x=20) and increase to infinity as x increases.
Range:[0,infinity)


Probability-and-statistics/360939: A set of data has mean 66 and standard deviation 7 find the z-score of the value 32.
1 solutions

Answer 257524 by Fombitz(13828) About Me  on 2010-10-24 20:15:48 (Show Source):


Polynomials-and-rational-expressions/360932: What is the answer to this factor by grouping equation
2xy+3x-8y-12
1 solutions

Answer 257523 by Fombitz(13828) About Me  on 2010-10-24 20:14:53 (Show Source):


Points-lines-and-rays/360925: z is the midpoint of line xy and xy=27 find xz
1 solutions

Answer 257521 by Fombitz(13828) About Me  on 2010-10-24 20:12:23 (Show Source):
You can put this solution on YOUR website!
xz%2Bzy=27
.
.
.
xz=zy
Substitute,
xz%2Bxz=27
2%28xz%29=27
highlight%28xz=27%2F2%29


Mixture_Word_Problems/360921: If I have a 20% acid solution and a 50% acid solution, how many liters of each do I have to mix to get 600 liters of a 30% solution?
1 solutions

Answer 257520 by Fombitz(13828) About Me  on 2010-10-24 20:11:07 (Show Source):
You can put this solution on YOUR website!
Let A be the amount of 20% acid solution, and B the amount of 50% acid solution.
1.A%2BB=600
.
.
20A%2B50B=30%28600%29
2.2A%2B5B=1800
Multiply eq. 1 by -2 and add to eq. 2,
-2A-2B%2B2A%2B5B=-1200%2B1800
3B=600
highlight%28B=200%29liters
Then from eq. 1,
A%2B200=600
highlight%28A=400%29liters


Equations/360924: f(x)=1/3(x+7)^2+7
1 solutions

Answer 257519 by Fombitz(13828) About Me  on 2010-10-24 20:08:46 (Show Source):
You can put this solution on YOUR website!
What's the question?
.
.
.
graph%28300%2C300%2C-15%2C5%2C-5%2C15%2C%281%2F3%29%28x%2B7%29%5E2%2B7%29


Expressions-with-variables/360980: P = W(R-r)/2R
solve for W
solve for r
1 solutions

Answer 257518 by Fombitz(13828) About Me  on 2010-10-24 20:07:51 (Show Source):


Mixture_Word_Problems/360912: how many grams of alcohol must be added to 40 grams of a 15% alcohol solution to obtain a 20% alcohol solution
1 solutions

Answer 257517 by Fombitz(13828) About Me  on 2010-10-24 20:05:52 (Show Source):
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Let A be the number of grams of 100% alcohol.
100A%2B15%2840%29=20%28A%2B40%29
100A%2B600=20A%2B800
80A=200
A=200%2F80
highlight%28A=5%2F2%29 grams


Quadratic_Equations/360913: How many solutions does y^2=4/5y+1/2 and x^2-2x-11=0 have?
1 solutions

Answer 257516 by Fombitz(13828) About Me  on 2010-10-24 20:03:48 (Show Source):
You can put this solution on YOUR website!
Quadratic equations always have two solutions.
.
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.
y%5E2-%284%2F5%29y-1%2F2=0%29
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graph%28300%2C300%2C-10%2C10%2C-10%2C10%2Cx%5E2-%284%2F5%29x-1%2F2%29
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x%5E2-2x-11=0
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graph%28300%2C300%2C-10%2C10%2C-10%2C10%2Cx%5E2-2x-11%29


Quadratic_Equations/360571: Solve this equation by using the quadratic form.
6x^4 + 11x^2 +4 = 0
1 solutions

Answer 257306 by Fombitz(13828) About Me  on 2010-10-24 00:59:23 (Show Source):
You can put this solution on YOUR website!
6x%5E4+%2B+11x%5E2+%2B4+=+0
.
.
.
x%5E2+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
x%5E2+=+%28-11+%2B-+sqrt%28+11%5E2-4%2A6%2A4+%29%29%2F%282%2A6%29+
x%5E2+=+%28-11+%2B-+sqrt%28+121-96+%29%29%2F%2812%29+
x%5E2+=+%28-11+%2B-+sqrt%28+25+%29%29%2F%2812%29+
x%5E2+=+%28-11+%2B-+5%29%2F%2812%29+
.
.
%28x%5B1%5D%29%5E2=-16%2F12=-4%2F3
x%5B1%5D=0+%2B-+%282%2Fsqrt%283%29%29i
highlight%28x%5B1%5D=0+%2B-+%282%2F3%29sqrt%283%29i%29
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%28x%5B2%5D%29%5E2=-6%2F12=-1%2F2
highlight%28x%5B2%5D=0+%2B-+%28sqrt%282%29%2F2%29i%29


Systems-of-equations/360611: Solve each equation
2(4 - 5h)= 3h^2
1 solutions

Answer 257302 by Fombitz(13828) About Me  on 2010-10-24 00:53:30 (Show Source):
You can put this solution on YOUR website!
2%284+-+5h%29=+3h%5E2
8+-+10h=+3h%5E2
3h%5E2%2B10h-8=0
%283h-2%29%28h%2B4%29=0
Two solutions:
3h-2=0
3h=2
highlight%28h=2%2F3%29
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.
.
h%2B4=0
highlight%28h=-4%29


Quadratic_Equations/360547: Solve the equation x^2-16x+15=0 for ALL SOLUTIONS by COMPLETING THE SQUARE and include AT LEAST THE FIRST TWO MIDDLE STEPS.
1 solutions

Answer 257301 by Fombitz(13828) About Me  on 2010-10-24 00:51:06 (Show Source):


Linear-equations/360604: In problem 25-28 write the equation and sketch the graph of each line with the given the slope and y-intercept.
25 Slope 1/2 and Y-intercept 3
26 Slope 2 and Y-intercept 3
27 Slope -2 and Y-intercept 1/2
28 Slope 2/3 and Y-intercept -1
1 solutions

Answer 257300 by Fombitz(13828) About Me  on 2010-10-24 00:48:14 (Show Source):
You can put this solution on YOUR website!
I'll do one, you can do the rest.
Use the slope-intercept form of a line,y=mx%2Bb.
highlight%28y=%281%2F2%29x%2B3%29
Plot the y-intercept, (0,3).
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.

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Slope equals change in y over change in x.
m=%28DELTA%2Ay%29%2F%28DELTA%2Ax%29
If I move 2 units in the x, then I need to move 1 unit in the y since the slope is m=1%2F2.
.
.
Starting from the point (0,3),
X:0%2BDELTA%2AX=0%2B2=2
Y:3%2BDELTA%2AY=3%2B1=4
(2,4) is another point on the line.
Plot it and then connect the two points with a line,
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Polynomials-and-rational-expressions/360121: how do i find the zeros of the function y=x^3-4x-1
1 solutions

Answer 257071 by Fombitz(13828) About Me  on 2010-10-22 19:51:11 (Show Source):
You can put this solution on YOUR website!
graph%28300%2C300%2C-5%2C5%2C-5%2C5%2Cx%5E3-4x-1%29
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I used Newton's method, with starting value of,
x=2, x=2.114908 and
x=-2, x=-1.86081 and
x=-0.5, x=-0.2541


Expressions-with-variables/360126: Write an equation in point-slope form for the line parallel to -18x + 2y = 7 that contains (3, 1)
1 solutions

Answer 257070 by Fombitz(13828) About Me  on 2010-10-22 19:46:54 (Show Source):
You can put this solution on YOUR website!
First find the slope of this equation.
2y=18x%2B7
y=9x%2B7%2F2
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.
.
Parallel lines have identical slopes.
m%5B1%5D=m%5B2%5D=9
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highlight%28y-1=9%28x-3%29%29


Quadratic_Equations/360104: what is a quadratic equation for the given information. -sqrt2,3sqrt2.
1 solutions

Answer 257069 by Fombitz(13828) About Me  on 2010-10-22 19:45:13 (Show Source):
You can put this solution on YOUR website!
You mean these are the roots and you want the associated quadratic equation??
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.
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f%28x%29=%28x%2Bsqrt%282%29%29%28x-3%2Asqrt%282%29%29
f%28x%29=x%5E2-3%2Asqrt%282%29x%2Bsqrt%282%29x-3%282%29
f%28x%29=x%5E2-2%2Asqrt%282%29x-6


Polynomials-and-rational-expressions/360096: Simplify: (x^2 - 4)/(3x-15)/(x+2)/(x-5)
1 solutions

Answer 257068 by Fombitz(13828) About Me  on 2010-10-22 19:42:16 (Show Source):


Square-cubic-other-roots/359985: x^2-6x+8=0
1 solutions

Answer 256921 by Fombitz(13828) About Me  on 2010-10-22 08:39:30 (Show Source):
You can put this solution on YOUR website!
graph%28300%2C300%2C-2%2C8%2C-2%2C8%2Cx%5E2-6x%2B8%29
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What's your question?


Quadratic_Equations/360001: Why do you factor a quadratic equation before you solve? How do you compute the intercepts of a quadratic function? What is the number of x- and y-intercepts that quadratic functions may have?
1 solutions

Answer 256920 by Fombitz(13828) About Me  on 2010-10-22 08:38:09 (Show Source):
You can put this solution on YOUR website!
Why do you factor a quadratic equation before you solve?
---Sometimes it's faster and easier to solve using factors than other methods.
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.
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How do you compute the intercepts of a quadratic function?
---To find the x-intercept, set y=0 and solve for x.
---To find the y-intercept, set x=0 and solve for y.
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What is the number of x- and y-intercepts that quadratic functions may have?
---A quadratic can have 0,1,or 2 x-intercepts (as seen below).
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---A quadratic can only have 1 y-intercept (as seen above).


Graphs/359995: graph g%28x%29=+sqrt%282%29-1
1 solutions

Answer 256919 by Fombitz(13828) About Me  on 2010-10-22 08:32:05 (Show Source):
You can put this solution on YOUR website!
That's not a very exciting graph.
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graph%28300%2C300%2C-3%2C3%2C-3%2C3%2C0%2Csqrt%282%29-1%29


test/360044: Hi I need some some with algebra
1 solutions

Answer 256918 by Fombitz(13828) About Me  on 2010-10-22 08:30:57 (Show Source):
You can put this solution on YOUR website!
Post a clear question and someone should be able to help you.


Probability-and-statistics/360067: Construct a scatterplot for the (x, y) values below, and answer the following questions. You do NOT need to submit your scatterplot with your answer; however, show all other work. x
y

1
7.0

2
13.0

3
19.0

4
25.0

5
31.0






- What would be the slope of this regression line?
- Would the correlation between x and y be positive or negative?
- How would you interpret these data in terms of linear regression?

1 solutions

Answer 256917 by Fombitz(13828) About Me  on 2010-10-22 08:29:49 (Show Source):
You can put this solution on YOUR website!

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The data exactly fit a straight line.
Use two points to calculate the slope.
m=%2831-7%29%2F%285-1%29=24%2F4=6
Then use the point-slope form of a line, y-y%5Bp%5D=m%28x-x%5Bp%5D%29 with any point.
y-7=6%28x-1%29
y-7=6x-6
highlight%28y=6x%2B1%29


logarithm/360078: Graph 2^X-4 and log (base 2) (x) +4
1 solutions

Answer 256916 by Fombitz(13828) About Me  on 2010-10-22 08:23:48 (Show Source):


Equations/360081: Solve for t. Clear fractions first: 2/3t + 4 = 1/6t
1 solutions

Answer 256915 by Fombitz(13828) About Me  on 2010-10-22 08:22:29 (Show Source):
You can put this solution on YOUR website!
%282%2F3%29t+%2B+4+=+%281%2F6%29t
Multiply both sides by 6.
4t%2B4=t
Now solve for t.


Graphs/359807: Let a and b represent the length of the sides of a right triangle and h the length of the hypotenuse. Find the missing side. a=2, b=10
1 solutions

Answer 256863 by Fombitz(13828) About Me  on 2010-10-21 22:34:39 (Show Source):
You can put this solution on YOUR website!
Use the Pythagorean theorem,
a%5E2%2Bb%5E2=h%5E2
2%5E2%2B10%5E2=h%5E2
4%2B100=h%5E2
h%5E2=104
h=sqrt%28104%29
highlight%28h=2%2Asqrt%2826%29%29