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Probability-and-statistics/372655: If the probability of rain for the day is 65% , what are the odds agianst rain?
1 solutions

Answer 265396 by Fombitz(13828) About Me  on 2010-11-17 13:27:07 (Show Source):
You can put this solution on YOUR website!
Probability is given as outcomes for rain divided by total outcomes.
Odd are given as outcomes for rain to outcomes against rain.
P=65%2F100
Odds are 65:35 or 13:7 in simplest terms.


Graphs/372640: WHat is the graph for this equation?

f(x)= x^2+6x+8
I'm not sure if the quadratic equation is used for this or factoring?. i used h=-b/2a to get h,k = (-3,-1) but i'm not sure if that is what i am supposed to do. The graph is supposed to be a parabola i believe. I need to find the points for it. Please help!
1 solutions

Answer 265394 by Fombitz(13828) About Me  on 2010-11-17 13:25:39 (Show Source):
You can put this solution on YOUR website!

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Plug in x values and obtain y values using the equation.
x=-3, y=x%5E2%2B6x%2B8=9-18%2B8=-1%29
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x=-2, y=4-12%2B8=0
x=-4, y=0 by symmetry since x=-3 is the line of symmetry.
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x=-1,y=1-6%2B8=3
x=-5,y=3 by symmetry.
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x=0,y=0%2B0%2B8=8
x=-6, y=8 by symmetry.
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Exponents/372641: (0.4*10^-6) (0.7 * 10^-2)
1 solutions

Answer 265391 by Fombitz(13828) About Me  on 2010-11-17 13:16:49 (Show Source):


Graphs/372642: Which compound sentence is the equivalent of |x - 5| = 4
1 solutions

Answer 265390 by Fombitz(13828) About Me  on 2010-11-17 13:15:12 (Show Source):


absolute-value/372644: What is the solution to this absolute value equation?
|5x+3|=7
I came up with the solutions x = -2 and x = 4/5. (-2,4/5). Please help, thank you!
1 solutions

Answer 265389 by Fombitz(13828) About Me  on 2010-11-17 13:14:44 (Show Source):
You can put this solution on YOUR website!

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Yes, you're correct.
Well done!


Probability-and-statistics/372516: How do you solve:
An unprepared student makes random guesses for the ten true-false questions on a quiz. Find the probability that there is at least one correct answer.
Thank you very much!
1 solutions

Answer 265376 by Fombitz(13828) About Me  on 2010-11-17 11:21:43 (Show Source):
You can put this solution on YOUR website!
We'll work the problem backwards.
Let find the probability that every answer is incorrect.
P%28T%29=0.5
P%28F%29=0.5
P%2810F%29=0.5%5E10
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P(at least 1 T)+P(10F)=1
P(at least 1 T)=1-P%2810F%29
P(at least 1 T)=1-0.5%5E10
P(at least 1 T)=0.9990234


Quadratic_Equations/372514: Use the quadratic formula to solve x2 + 8x + 9 = 0.
Estimate irrational solutions to the nearest tenth.

1 solutions

Answer 265375 by Fombitz(13828) About Me  on 2010-11-17 11:18:34 (Show Source):
You can put this solution on YOUR website!
x%5E2+%2B+8x+%2B+9+=+0
Use the quadratic formula,
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
x+=+%28-8+%2B-+sqrt%28+8%5E2-4%2A1%2A9+%29%29%2F%282%2A1%29+
x+=+%28-8+%2B-+sqrt%28+64-36+%29%29%2F2+
x+=+%28-8+%2B-+sqrt%28+28+%29%29%2F2+
x+=+%28-8+%2B-+2%2Asqrt%28+7+%29%29%2F2+
highlight%28x+=+-4+%2B-+sqrt%28+7+%29%29+
Time to get out the calculator for the estimating.


Circles/372504: Find the center of the circle defined by the equation x^2+y^2+16x+10y+53=0
The question want you to put it in this form
(x-h)^2+(y-k)^2=r^2

1 solutions

Answer 265374 by Fombitz(13828) About Me  on 2010-11-17 11:15:23 (Show Source):
You can put this solution on YOUR website!
Complete the square in x and y.
x%5E2%2B16x%2By%5E2%2B10y%2B53=0
%28x%5E2%2B16x%2B64%29%2B%28y%5E2%2B10y%2B25%29%2B53=64%2B25
%28x%2B8%29%5E2%2B%28y%2B5%29%5E2%2B53=89
highlight%28%28x%2B8%29%5E2%2B%28y%2B5%29%5E2=36%29


Quadratic_Equations/372585: Compute the value of the discriminant and give the number of real solutions to the quadratic equation.
-2x^2+3x+1=0
discriminant=
number of real numbers =
1 solutions

Answer 265373 by Fombitz(13828) About Me  on 2010-11-17 11:13:10 (Show Source):
You can put this solution on YOUR website!
D=b%5E2-4ac
D=3%5E2-4%28-2%29%281%29
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If D%3E0, 2 real solutions.
If D=0, 1 real solution.
If D%3C0, 0 real solutions.


percentage/372567: 54 is 24% of what number.
I came up with
54=0.24*y
54/0.24
y=225
Am I correct
1 solutions

Answer 265372 by Fombitz(13828) About Me  on 2010-11-17 11:11:46 (Show Source):
You can put this solution on YOUR website!
Yes, well done.
Remember you can always check your answer.
54%2F225=%283%2A3%2A6%29%2F%283%2A3%2A25%29=%286%2F25%29%284%2F4%29=24%2F100=24%


Rational-functions/372571: how do you solve 4x^2=21X+20=0?
1 solutions

Answer 265371 by Fombitz(13828) About Me  on 2010-11-17 11:09:45 (Show Source):
You can put this solution on YOUR website!
You have two equal signs in your equation.
Only one is allowed.
Please repost.


Equations/372584: 8s+9=7s+6
1 solutions

Answer 265370 by Fombitz(13828) About Me  on 2010-11-17 11:09:10 (Show Source):


Sequences-and-series/372583: Can you please help me find the first five terms of the sequences with the nth term given as follows:
(a) 6n + 2 ________, ________, ________, ________, ________
(b) n³ + n2 + 2n + 1 ________, ________, ________, ________, ________
(c) 2n + 3 ________, ________, ________, ________, ________

1 solutions

Answer 265369 by Fombitz(13828) About Me  on 2010-11-17 11:08:00 (Show Source):
You can put this solution on YOUR website!
I'll start the first term for each, you continue to find the remaining terms.
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n=1
6n%2B2=6%281%29%2B2=6%2B2=highlight%288%29
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n=1

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n=1
2n%2B3=2%281%29%2B3=2%2B3=highlight%285%29
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Now follow the same procedure for n=2 through n=5


Probability-and-statistics/372507: How do you solve:
Mark can remember only the first 4 digits of his friend's phone number. He also knows that the number has 7 digits and that the last digit is not a 0. If Mark were to dial all of the possible numbers and if it takes him 23 seconds to try each one, how long would it take to try every possibility?
Thank you very much!
1 solutions

Answer 265367 by Fombitz(13828) About Me  on 2010-11-17 11:05:22 (Show Source):
You can put this solution on YOUR website!
So he needs the final three digits.
The first digit can be from 0-9.
The second digit can be from 0-9.
The third digit can be from 1-9 since he knows it's not a 0.
In total, then the numbers can be,
N=10%2A10%2A9=900numbers
If each number takes 23 seconds, then
T=900%2A23
highlight%28T=20700%29seconds.
There are 3600 seconds in 1 hour,
T=5.75 hours or 5 hours and 45 minutes.


Radicals/372582: Multiply. (√3 +1)(5√3 +1)
1 solutions

Answer 265365 by Fombitz(13828) About Me  on 2010-11-17 11:01:03 (Show Source):
You can put this solution on YOUR website!
Use the FOIL Method,

%28sqrt%283%29%2B1%29%285%2Asqrt%283%29%2B1%29=5%2A3%2B1%2B6%2Asqrt%283%29
%28sqrt%283%29%2B1%29%285%2Asqrt%283%29%2B1%29=highlight%2816%2B6%2Asqrt%283%29%29


Trigonometry-basics/372572: Find the center of the circle using these three points: (0,1),(8,1),(4,5)
I still can't figure how to solve this please help.
1 solutions

Answer 265364 by Fombitz(13828) About Me  on 2010-11-17 10:59:06 (Show Source):


Triangles/372576: perimeter of a triangle with Side A = 7 in., Side B = 7 in., Side C = 6 in
1 solutions

Answer 265363 by Fombitz(13828) About Me  on 2010-11-17 10:56:38 (Show Source):


Rational-functions/372575: how do you solve 7t^2-4t=3t^2?
1 solutions

Answer 265362 by Fombitz(13828) About Me  on 2010-11-17 10:53:23 (Show Source):
You can put this solution on YOUR website!
7t%5E2-4t=3t%5E2
3t%5E2-4t=0
t%283t-4%29=0
Two solutions:
highlight%28t=0%29
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3t-4=0
3t=4
highlight%28t=4%2F3%29


Square-cubic-other-roots/372580: Please help solve this problem:
square root of 5(square root 5 +2)
1 solutions

Answer 265361 by Fombitz(13828) About Me  on 2010-11-17 10:52:15 (Show Source):


Linear-equations/372570: Hello,
sovle graphically x+y+2=0 and 3x-4y=5. write down coordinates of point of intersection of the two lines.
Thank you
1 solutions

Answer 265360 by Fombitz(13828) About Me  on 2010-11-17 10:51:14 (Show Source):
You can put this solution on YOUR website!
x%2By%2B2=0
y=-x-2
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3x-4y=5
-4y=-3x%2B5
y=%283%2F4%29x-5%2F4
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This example is not really appropriate for solving graphically because of the nature of the solution and highlights some of the drawbacks especially in getting an exact answer.
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Solving the problem algebraically,
-x-2=%283%2F4%29x-5%2F4
-%287%2F4%29x=8%2F4-5%2F4
-%287%2F3%29x=3%2F4
highlight%28x=-3%2F7%29
Then using either equation to solve for y.
-3%2F7%2By%2B2=0
y=-14%2F7%2B3%2F7
highlight%28y=-11%2F7%29
So unless you have graph paper with (1/7) divisions you wouldn't get the exact answer.


Exponents/372502: 21a^2b^6 + 15a^7b^3 – ab
___________________
54a^5b^2

1 solutions

Answer 265358 by Fombitz(13828) About Me  on 2010-11-17 10:35:37 (Show Source):


Probability-and-statistics/372501: How do you solve:
If a single fair die is rolled, find the probability that the number rolled is 5 given given that it is odd.
Thank you very much!
1 solutions

Answer 265356 by Fombitz(13828) About Me  on 2010-11-17 10:28:52 (Show Source):
You can put this solution on YOUR website!
Since you know it's odd there are only 3 possible choices (1,3,5).
Only one of those choices is 5.
P=1%2F3


Probability-and-statistics/372563: If a coin was tossed four times, what is the probability that the coin will land on heads at least one of those times?

1 solutions

Answer 265355 by Fombitz(13828) About Me  on 2010-11-17 10:27:39 (Show Source):
You can put this solution on YOUR website!
Work the problem backwards.
Find the probability that the coin will only land tails each time.
P%28H%29=0.5
P%28T%29=0.5
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P%28TTTT%29=%280.5%29%280.5%29%280.5%29%280.5%29=0.0625
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P(4 tails)+P(not 4 tails)=1
P(not 4 tails)=P(at least one head)=1-P(4 tails)
P=1-0.0625
highlight%28P=0.9375%29


Linear-equations/372560: Evaluate 5x - 10y = 30
1 solutions

Answer 265353 by Fombitz(13828) About Me  on 2010-11-17 10:24:40 (Show Source):
You can put this solution on YOUR website!
5x-10y=30
-10y=-5x%2B30
y=%281%2F2%29x-3
It is a straight line with a slope of 2 and a y-intercept of -3.
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graph%28300%2C300%2C-5%2C5%2C-5%2C5%2C0%2C%281%2F2%29x-3%29


Radicals/372500: I having trouble getting this radical expression to solve. I do not have the root symbol so I will use the forward slash. I get different answers each time I try to solve. Can you please help me understand this problem?
/10 − 2x − /5x + 16 = 3
/10-2x=3-/5x+16
(/10-2x)^2= (3- /5x+16)^2
10-2x=9-6/5x+16 + (5x+16)
10=9-6/5x+16
1=6/5x+16
0.1666=/5x+16
0.1666^2=(/5x+16)^2
0.03=5x+256
-255.973 or -256=x
1 solutions

Answer 265352 by Fombitz(13828) About Me  on 2010-11-17 10:22:32 (Show Source):
You can put this solution on YOUR website!
You can just use sqrt(10-2x) to denote the square root function.
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sqrt%2810-2x%29-sqrt%285x%2B16%29=3
sqrt%2810-2x%29=sqrt%285x%2B16%29%2B3
Square both sides.
10-2x=5x%2B16%2B6%2Asqrt%285x%2B16%29%2B9
10-2x=5x%2B25%2B6%2Asqrt%285x%2B16%29
-15-7x=6%2Asqrt%285x%2B16%29
-%287x%2B15%29=6%2Asqrt%285x%2B16%29
Square both sides again,
49x%5E2%2B210x%2B225=36%285x%2B16%29
49x%5E2%2B210x%2B225=180x%2B576%29
49x%5E2%2B30x-351=0
%2849x-117%29%28x%2B3%29=0
Two solutions:
49x-117=0
x=117%2F49
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x%2B3=0
x=-3
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Verify the solutions,
Since x=117%2F49 would lead to a negative argument for the square root function, it is not a solution.
highlight%28x=-3%29
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Equations/372498: M=3 What would the slope of a perpendicular line be? Show work please.
m=3
m= 3/1
m= -3
I'm lost.
1 solutions

Answer 265349 by Fombitz(13828) About Me  on 2010-11-17 10:09:20 (Show Source):
You can put this solution on YOUR website!
Perpendicular lines have slopes that are negative reciprocals.
m%5B1%5D%2Am%5B2%5D=-1
3%2Am%5B2%5D=-1
highlight%28m%5B2%5D=-1%2F3%29


Numbers_Word_Problems/372497: Using algebra, find three consecutive odd integers, such that the sum of the smallest and twice the second is twenty more than the third.
This is what I have:
20(x + 2(x+2))= x+6
1 solutions

Answer 265348 by Fombitz(13828) About Me  on 2010-11-17 10:08:25 (Show Source):
You can put this solution on YOUR website!
x, x%2B2 and x%2B4 are the integers.
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x%2B2%28x%2B2%29=20%2B%28x%2B4%29
x%2B2x%2B4=20%2Bx%2B4
3x%2B4=x%2B24
Now solve for x.


Circles/372552: Find the center of the circle with these three points:(-3,-6),(9,-6),(3,0)
I know how to find the radius by using points,but I'm not sure I know how to find the center of a circle with points please help.
1 solutions

Answer 265346 by Fombitz(13828) About Me  on 2010-11-17 10:06:47 (Show Source):
You can put this solution on YOUR website!
Draw a line from (-3,-6) to (9,-6).
The midpoint of that line is (3,-6).
Since the distance from the midpoint to (3%2C%7B%7B%7B0%29+is+equal+to+distance+from+midpoint+to+%28%7B%7B%7B-3,-6) and (9,-6), it is the center of the circle.
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The radius is the distance from the center to any of the points and equals 6 units.
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%28x-3%29%5E2%2B%28y%2B6%29%5E2=36


Equations/372551: (5/y-3) = 1 + (y+7)/(2y-6)

1 solutions

Answer 265345 by Fombitz(13828) About Me  on 2010-11-17 09:59:59 (Show Source):
You can put this solution on YOUR website!
Use the common denominator, 2%28y-3%29=2y-6
5%2F%28y-3%29+=+1+%2B+%28y%2B7%29%2F%282y-6%29
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10%2F%282y-6%29=%282y-6%29%2F%282y-6%29%2B%28y%2B7%29%2F%282y-6%29
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%2810-%282y-6%29-%28y%2B7%29%29%2F%282y-6%29=0
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%2810-2y%2B6-y-7%29%2F%282y-6%29=0
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%28-3y%2B9%29%2F%282y-6%29=0
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%28-3%28y-3%29%29%2F%282%28y-3%29%29=0
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-3%2F2=0
Since the equation leads to an inconsistency, there is no solution.



Probability-and-statistics/372499: How do you solve:
A basketball player hits three-point shots 45% of the time. If she takes 4 shots during a game, what is the probability that she misses the first shot and hits the last three shots?
Thank you very much!
1 solutions

Answer 265344 by Fombitz(13828) About Me  on 2010-11-17 09:56:17 (Show Source):


Quadratic_Equations/372496: Please help me with this equation +12t%5E2-5t=2+
1 solutions

Answer 265343 by Fombitz(13828) About Me  on 2010-11-17 09:53:21 (Show Source):
You can put this solution on YOUR website!
+12t%5E2-5t=2+
+12t%5E2-5t-2=0+
+%284t%2B1%29%283t-2%29=0+
Two solutions:
4t%2B1=0
4t=-1
highlight_green%28+t=-1%2F4%29
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3t-2=0
3t=2
highlight_green%28+t=2%2F3%29