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Probability-and-statistics/323894: A random sample of 20 health maintenance organizations (HMOs) was selected. For each HMO, the co-payment (in dollars) for a doctor's office visit was recorded. The results are as follows: 11,8,9,12,8,6,9,6,6,7,9,5,11,8,5,10,7,7,5,12
Under the assumption that co-payment amounts are normally distributed, find a 90% confidence interval for the mean co-payment amount in dollars. Then complete the table below.
What is the lower limit of the confidence interval?
What is the upper limit of the confidence interval?
1 solutions

Answer 231861 by Fombitz(13828) About Me  on 2010-07-20 09:48:49 (Show Source):
You can put this solution on YOUR website!
xave=8.05
s=2.282
Sample size is less than 30 (n=20).
Sample standard deviation is known (not the population sigma).
Use t distribution instead of z distribution to construct interval.
Degrees of freedom (DOF) equals n-1=20-1=19.
For DOF=19 and 90%, the critical t value is t=1.328
t%2As%2Fsqrt%28n%29=1.328%282.282%29%2Fsqrt%2820%29=0.678
(8.05-0.678,8.05%2B0.678)
(7.37,8.73)


Graphs/323867: Write the function whose graph is the graph of y=x^4, but is: a. shifted up 14 units
b. reflected about the x-axis
1 solutions

Answer 231859 by Fombitz(13828) About Me  on 2010-07-20 09:39:31 (Show Source):
You can put this solution on YOUR website!
a) y=x%5E4%2B14
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graph%28300%2C300%2C-5%2C5%2C-2%2C22%2Cx%5E4%2Cx%5E4%2B14%29
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b) y=-x%5E4
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graph%28300%2C300%2C-5%2C5%2C-5%2C5%2Cx%5E4%2C-x%5E4%29
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Quadratic-relations-and-conic-sections/323978: what is the y-coordinate of the vertwx of the parabola that is given by the equation below?
y=1.5(x-2)^2+7

1 solutions

Answer 231858 by Fombitz(13828) About Me  on 2010-07-20 09:37:08 (Show Source):
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Compare to the vertex form, y=a%28x-h%29%5E2%2Bk where the vertex is (h,k).
Comparing, (h,k)=(2,7)
The y-coordinate is 7.


Linear-equations/323857: Find the equation of the line passing through the points (-1,2) and (3,-4).
Give the equation in slope-intercept form and express non-integer numbers in fractional form.
1 solutions

Answer 231857 by Fombitz(13828) About Me  on 2010-07-20 09:35:59 (Show Source):
You can put this solution on YOUR website!
Find the slope first,
m=%28y2-y1%29%2F%28x2-x1%29=%28-4-2%29%2F%283-%28-1%29%29=-6%2F4=-3%2F2
Then use the slope-intercept form of a line, y=mx%2Bb
y=-%283%2F2%29x%2Bb
Use either point to solve for b,
2=-%283%2F2%29%28-1%29%2Bb
b%2B3%2F2=2
b=1%2F2
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highlight%28y=-%283%2F2%29x%2B1%2F2%29
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.
2y=-3x%2B1
3x%2B2y=1
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Problems-with-consecutive-odd-even-integers/323944: Factor completely. If a polynomial is prime, state this.
a^4b^3 + 2a^3b^2 − 15a^2b
1 solutions

Answer 231854 by Fombitz(13828) About Me  on 2010-07-20 09:31:59 (Show Source):


Sequences-and-series/323970: Determine whether f(x)= -5x^2 - 10x + 6 has a maximum of minimum value and find that value.
1 solutions

Answer 231852 by Fombitz(13828) About Me  on 2010-07-20 09:29:27 (Show Source):
You can put this solution on YOUR website!
Convert to vertex form, y=a%28x-h%29%5E2%2Bk by completing the square.
f%28x%29=-5x%5E2-10x+%2B+6
f%28x%29=-5%28x%5E2%2B2x%29%2B6
f%28x%29=-5%28x%5E2%2B2x%2B1%29%2B6%2B5
f%28x%29=-5%28x%2B1%29%5E2%2B11
The vertex occurs at (-1,11).
The coefficient for the x%5E2 term is negative and the parabola opens downward, the value at the vertex is the maximum.
ymax=11
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.
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Linear-equations/323974: Find the y-intercept for the graph of the following equation.
18x + 12y = 72
1 solutions

Answer 231850 by Fombitz(13828) About Me  on 2010-07-20 09:24:25 (Show Source):
You can put this solution on YOUR website!
To find the y-intercept, set x=0 and solve for y.
18%280%29%2B12y=72
y=6
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(0,6)


Equations/323975: Which quadratic equation has roots 7 and -2/3?
a) 2x^2 - 11x - 21=0
b) 3x^2 - 19x - 14=0
c) 3x^2 + 23x + 14=0
d) 2x^2 + 11x - 21=0
1 solutions

Answer 231849 by Fombitz(13828) About Me  on 2010-07-20 09:23:36 (Show Source):
You can put this solution on YOUR website!
y=a%28x-7%29%28x%2B2%2F3%29
where a is any non-zero constant,
y=a%28x%5E2%2B%282%2F3%29x-7x-14%2F3%29
y=a%28x%5E2%2B%282%2F3-21%2F3%29x-14%2F3%29
y=a%28x%5E2-%2819%2F3%29x-14%2F3%29
Let a=3,
y=3x%5E2-19x-14
b) is the correct answer.


Numbers_Word_Problems/323968: if the average of 5 consecutive integers is 12. what is the sum of the least and greatest of the 5 integers ?
A 24 B 14 C 12 D 11 E 10

1 solutions

Answer 231846 by Fombitz(13828) About Me  on 2010-07-20 09:18:26 (Show Source):
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%28N%2BN%2B1%2BN%2B2%2BN%2B3%2BN%2B4%29%2F5=12
5N%2B10=60
5N=50
N=10, the least integer
N%2B4=14, the greatest integer (some of the other integers disagree)


Equations/323967: How do you write a prediction equation for data points shown in a scatter plot?
1 solutions

Answer 231842 by Fombitz(13828) About Me  on 2010-07-20 09:12:47 (Show Source):
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Same as you would for a line, although the symbols are different,
y=bx%2Ba
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b=SSXY%2FSSXX
a=yave-b%2Axave
where xave and yave are the means of the input data, SSXX are the sum of the squares of the x deviations, SSXY are the products of the x and y square deviation terms.


Probability-and-statistics/323963: 1)A card is drawn at random from an ordinary pack of 52 playing cards.Find the probability of finding a)an ace b)a six or a heart c)neither a nine or a spade
2)Two cards are drawn at random from an ordinary pack of 52 playing cards.Find the probability(P) that one is a diamond and the other is a heart
please give me the answers by tomorrow as it very urgent......
1 solutions

Answer 231841 by Fombitz(13828) About Me  on 2010-07-20 09:08:27 (Show Source):
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1a) 4 aces in 52 cards, P(ace)=4/52=1/13
1b) P(6)=4/52, P(heart)=13/52, P(6 of hearts)=1/52
P(6 or heart)=P(6)+P(heart)-P(6 of hearts)=4/52+13/52-1/52=16/52=4/13
1c) P(9)=4/52, P(spade)=13/52, P(9 of spades)=1/52
P(9 or spade)=4/13
P(not 9 or spade)=1-4/13=9/13
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2) I assume you mean they are drawn without replacement.
P(diamond)=4/52=1/13
P(heart)=4/51
P(diamond, heart)=(1/13)(4/51)=4/663


logarithm/323962: 2log2(5-x)=3
1 solutions

Answer 231840 by Fombitz(13828) About Me  on 2010-07-20 09:03:38 (Show Source):


Probability-and-statistics/323960: A bag of marbles has 5 green, 2 yellow, 8 red, and 3 purple marbles. What is the probability of picking a purple marble, not replacing it, and then picking another purple marble?
My Choices Are:
28/153
1/51
20/153
8/153
1 solutions

Answer 231836 by Fombitz(13828) About Me  on 2010-07-20 08:50:03 (Show Source):
You can put this solution on YOUR website!
5 Green
2 Yellow
8 Red
3 Purple
18 total
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P(1st Purple)=3%2F18=1%2F6
w/o replacement,
P(2nd Purple)=%283-1%29%2F%2818-1%29=2%2F17
P(both Purple)=%281%2F6%29%282%2F17%29=1%2F51


Surface-area/323949: what is the total surface of a cube is 78 square inches
1 solutions

Answer 231835 by Fombitz(13828) About Me  on 2010-07-20 08:45:20 (Show Source):
You can put this solution on YOUR website!
I think you're asking for the measure of the side of a cube with surface area of 78 sq. in.
A cube is made up of 6 faces, each a square of side s.
SA=6s%5E2=78
s%5E2=13
s=sqrt%2813%29 inches.


Graphs/323958: Please help me solve this problem:
9<2y+11<17 The solution x
1 solutions

Answer 231834 by Fombitz(13828) About Me  on 2010-07-20 08:42:50 (Show Source):
You can put this solution on YOUR website!
9%3C2y%2B11%3C17
-2%3C2y%3C6<--- Subtract 11 from all terms,
-1%3Cy%3C3<--- Divide all terms by 2.


Matrices-and-determiminant/323866: 3a-b-3c=14,2a-b+3c=5,a+2b-4c=3
1 solutions

Answer 231833 by Fombitz(13828) About Me  on 2010-07-20 08:40:19 (Show Source):
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[A]=%28matrix%283%2C3%2C3%2C-1%2C-3%2C2%2C-1%2C3%2C1%2C2%2C-4%29%29
[x]=%28matrix%283%2C1%2Ca%2Cb%2Cc%29%29
[b]=%28matrix%283%2C1%2C14%2C5%2C3%29%29
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[A][x]=[b]
[x]=[A]inv[b]
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det[A]=-32
[A]inv=%281%2F%28-32%29%29%2A%28matrix%283%2C3%2C-2%2C-10%2C-6%2C11%2C-9%2C-15%2C5%2C-7%2C-1%29%29
%28matrix%283%2C1%2Ca%2Cb%2Cc%29%29=highlight%28%28matrix%283%2C1%2C3%2C-2%2C-1%29%29%29


logarithm/323943: Solve for: 25(2x-1)= 5(5+1)
1 solutions

Answer 231831 by Fombitz(13828) About Me  on 2010-07-20 08:35:18 (Show Source):


Trigonometry-basics/323911: Can you please help me to solve this problem. The question reads; Find all solutions of the multiple-angle equation cos4x(cosx-1)=0
Thanks,
1 solutions

Answer 231830 by Fombitz(13828) About Me  on 2010-07-20 08:34:02 (Show Source):
You can put this solution on YOUR website!
Solutions are for (0,2pi)
Two paths to solutions:
cos%284x%29=0
4x=pi%2F2 and 4x=%283%2F2%29pi
highlight%28x=pi%2F8%29 and highlight%28x=%283%2F8%29pi%29
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cos%28x%29-1=0
cos%28x%29=1
highlight%28x=0%29 and highlight%28x=2pi%29


Exponential-and-logarithmic-functions/323886: 3X^6+24
1 solutions

Answer 231829 by Fombitz(13828) About Me  on 2010-07-20 08:29:20 (Show Source):
You can put this solution on YOUR website!
What's the question?
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graph%28300%2C300%2C-5%2C5%2C-5%2C50%2C3x%5E6%2B24%29


Rational-functions/323209: (k-3)/(k-2)-(k-4)/(k-1)=(3k+2)/(k^2-3k+2)
1 solutions

Answer 231828 by Fombitz(13828) About Me  on 2010-07-20 08:27:58 (Show Source):
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Use the common denominator k%5E2-3k%2B2=%28k-2%29%28k-1%29
%28k-3%29%2F%28k-2%29-%28k-4%29%2F%28k-1%29=%283k%2B2%29%2F%28k%5E2-3k%2B2%29


Multiply both sides by %28%28k-2%29%28k-1%29%29
k%5E2-4k%2B3-k%5E2%2B6k-8=3k%2B2
2k-5=3k%2B2
highlight%28k=-7%29


logarithm/323946: Solve for x: log(x-3) - log(x-2) = log(x+1)
1 solutions

Answer 231827 by Fombitz(13828) About Me  on 2010-07-20 08:18:10 (Show Source):


Systems-of-equations/323820: The perimeter of a rectangle is 20 inches and its area is 24 square inches. What are its dimensions?
1 solutions

Answer 231799 by Fombitz(13828) About Me  on 2010-07-20 00:42:52 (Show Source):
You can put this solution on YOUR website!
The area of a rectangle is,
1.A=L%2AW=24
The perimeter of a rectangle is,
P=2L%2B2W=20
2.L%2BW=10
From eq. 2,L=10-W
Substitute into eq. 1,
%2810-W%29W=24%7D%7D%0D%0A%7B%7B%7B10W-W%5E2=24
W%5E2-10W%2B24=0
%28W-6%29%28W-4%29=0
Two solutions:
W-6=0
W=6
Then from eq. 2,
L%2B6=10
L=4
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W-4=0
W=4
L%2B4=10
L=6
The rectangle is 4 inches by 6 inches.


Average/323815: is the given number a solution of the equation?
c=2c-4;8
1 solutions

Answer 231798 by Fombitz(13828) About Me  on 2010-07-20 00:39:40 (Show Source):
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+c=2c-4+
Let c=8
8=2%288%29-4
8=16-4
8=12
False, so c=8 is not a solution of the equation.


Linear-equations/323856: Need help with the following problem:
Compute the slope of the line containing the points (-8,1) and (1/3,3).
1 solutions

Answer 231797 by Fombitz(13828) About Me  on 2010-07-20 00:37:58 (Show Source):


Systems-of-equations/323821: 1.) y = 6x^2 - 5x
y = 2x + 3
2.) y = x^2 - 3x -3
y = -x^2 + 5x + 7
1 solutions

Answer 231796 by Fombitz(13828) About Me  on 2010-07-20 00:36:05 (Show Source):
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#1:
1.+y+=+6x%5E2+-+5x
2.++++y+=+2x+%2B+3
Since they both equal y, set them equal to each other.
6x%5E2-5x=2x%2B3
6x%5E2-7x-3=0
%282x-3%29%283x%2B1%29=0
Two solutions:
2x-3=0
2x=3
x=3%2F2
The use either equation to solve for y,
y=2%283%2F2%29%2B3=6
(3/2,6)
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3x%2B1=0
3x=-1
x=-1%2F3
y=2%28-1%2F3%29%2B3=9%2F3-2%2F3=7%2F3
(-1/3,7/3)
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#2: Same approach
1.+y+=+x%5E2+-+3x+-3
2.y+=+-x%5E2+%2B+5x+%2B+7
x%5E2-3x-3=-x%5E2%2B5x%2B7
2x%5E2-8x-10=0
x%5E2-4x-5=0
%28x-5%29%28x%2B1%29=0
Two solutions:
x-5=0
x=5
y=%285%29%5E2-3%285%29-3=7
(5,7)
.
.
.
x%2B1=0
x=-1
y=%281%29%5E2-3%28-1%29-3=1
(-1,1)
.
.
.


Linear-equations/323859: Find the equation of the line parallel to the line y = 2x - 3 which contains the point (1,3). Express answer in slope-intercept form.
1 solutions

Answer 231795 by Fombitz(13828) About Me  on 2010-07-20 00:24:59 (Show Source):
You can put this solution on YOUR website!
Parallel lines have identical slopes.
THe slope of the first line is m=2
Use the slope-intercept form of a line,
y=mx%2Bb and use the point(1,3) to solve for b.
3=2%281%29%2Bb
b=1
highlight%28y=2x%2B1%29
.
.
.



Functions/323823: Find the minimum and maximum values of z=2x+3y if possible, for the following set of constraints
x+y≤9
-x+y≤5
2x-y≤14
Find minimum value & maximum value.
Please help! :)
1 solutions

Answer 231794 by Fombitz(13828) About Me  on 2010-07-20 00:22:48 (Show Source):
You can put this solution on YOUR website!
First find the feasible region using the constraints.
Find the intersection points.
9-x=5%2Bx
2x=4
x=2
y=7
(2,7)
.
.
.
9-x=2x%2B14
3x=-5
x=-5%2F3
y=9-%28-5%2F3%29=32%2F3
(-5/3,32/3)
.
.
.
2x%2B14=5%2Bx
x=-9
y=5-9=-4
(-9,-4)
.
.
.

.
.
.
The min and max of the function will occur at one of the vertices:
.
.
.
(2,7):z=2x%2B3y=2%282%29%2B3%287%29=25
(-5/3,32/3):z=2x%2B3y=2%28-5%2F3%29%2B3%2832%2F3%29=86%2F3
(-9,-4):z=2x%2B3y=2%28-9%29%2B3%28-4%29=-30
.
.
.
The min value of z of -30 occurs at (-9,-4).
The max value of z of 86/3 occurs at (-5/3,32/3).


Quadratic-relations-and-conic-sections/323853: What is the graph of 11x-x^2-4y^2 = 2y-16?
thankyou
1 solutions

Answer 231793 by Fombitz(13828) About Me  on 2010-07-20 00:11:57 (Show Source):
You can put this solution on YOUR website!
Complete the square in x and y.
11x-x%5E2-4y%5E2+=+2y-16
x%5E2-11x%2B4y%5E2%2B2y-16=0
%28x%5E2-11x%2B121%2F4%29%2B4%28y%5E2%2B%281%2F2%29y%2B%281%2F16%29%29-16=121%2F4%2B4%2F16
%28x-11%2F2%29%5E2%2B4%28y%2B%281%2F4%29%29%5E2=256%2F16%2B484%2F16%2B4%2F16
%28x-11%2F2%29%5E2%2B4%28y%2B%281%2F4%29%29%5E2=744%2F16
%28x-11%2F2%29%5E2%2F4%2B%28y%2B%281%2F4%29%29%5E2=744%2F64
It's an ellipse.


Linear-equations/323858: Find the equation of the line with slope m = 1 which contains the point (5,0). Give answer in slope-intercept form.
1 solutions

Answer 231791 by Fombitz(13828) About Me  on 2010-07-20 00:04:12 (Show Source):
You can put this solution on YOUR website!
Use the point-slope form of a line,
y-yp=m%28x-xp%29
y-0=1%28x-5%29
highlight%28y=x-5%29


Exponential-and-logarithmic-functions/323846: 4x^2 + 12xy + 9y^2 - z^2
1 solutions

Answer 231789 by Fombitz(13828) About Me  on 2010-07-20 00:03:15 (Show Source):
You can put this solution on YOUR website!
What's the question?


Functions/323833: Find the x and y intercepts (if any) of the rational function
f(x) = (x^2 + 3x + 2)/(x + 1)
1 solutions

Answer 231788 by Fombitz(13828) About Me  on 2010-07-20 00:01:32 (Show Source):
You can put this solution on YOUR website!
f%28x%29+=+%28x%5E2+%2B+3x+%2B+2%29%2F%28x+%2B+1%29
f%28x%29=%28%28x%2B2%29%28x%2B1%29%29%2F%28x%2B1%29
f%28x%29=x%2B2
When x=0, f%28x%29=2, (0,2) is the y-intercept.
When f%28x%29=0, x=-2, (-2,0) is the x-intercept.