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Probability-and-statistics/634142: Find the correlation coefficient for the data.
- Find the equation for the regression line for the data, and predict the final grade of a student who misses 3.5 days.
Number of absences Final Grade

0 95
1 91
2 82
3 69
4 67
5 58
1 solutions

Answer 399392 by ewatrrr(10682) About Me  on 2012-08-02 13:44:55 (Show Source):
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Hi,
Excel CORREL function
r = -.9866
Regression line equation: y+=+ax%2Bb
www.alcula.com/calculators/statistics/linear-regression/
y = -7.7143x + 96.286
grade mising 3.5 days = 69


Matrices-and-determiminant/634104: After the private screening of a new television pilot, audience members were asked to rate the new show on a scale of 1 to 10 (10 being the highest rating). From a group of 140 people, the following responses were obtained.
Rating 1 2 3 4 5 6 7 8 9 10
Frequency of
Occurrence 4 4 3 6 17 20 22 24 11 29
Let the random variable X denote the rating given to the show by a randomly chosen audience member. Find the probability distribution associated with these data.
Rating 1 2 3 4 5 6 7 8 9 10
P(X = x)
1 solutions

Answer 399382 by ewatrrr(10682) About Me  on 2012-08-02 11:21:20 (Show Source):
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Hi,
X # P(X = x)
1 4 0.028571429
2 4 0.028571429
3 3 0.021428571
4 6 0.042857143
5 17 0.121428571
6 20 0.142857143
7 22 0.157142857
8 24 0.171428571
9 11 0.078571429
10 29 0.207142857


expressions/634112: can you please help me with -(8d - 3w)
1 solutions

Answer 399380 by ewatrrr(10682) About Me  on 2012-08-02 11:07:21 (Show Source):


Proportions/634113: Miguel passed seven of his history-class quizzes and failed three. The fraction of quizzes he passed is correctly expressed as:
1 solutions

Answer 399379 by ewatrrr(10682) About Me  on 2012-08-02 11:05:45 (Show Source):
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Hi,
Miguel passed seven of his history-class quizzes and
failed three.
The fraction of quizzes he passed is correctly expressed as: 7/10


Graphs/634111: find an equation of the line that has slope m and y-intercept b. m=-2, b= -1
1 solutions

Answer 399378 by ewatrrr(10682) About Me  on 2012-08-02 11:03:36 (Show Source):
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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.
m = -2 and b = -1
Line
y = (-2)x + (-1)
y = -2x - 1 or 2x + y = -1 or 2x + y + 1 = 0


Graphs/634109: find an equation of the line that passes through the given point. (2,1) and (2,5)
1 solutions

Answer 399377 by ewatrrr(10682) About Me  on 2012-08-02 11:01:20 (Show Source):
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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.
line that passes through the point
(2,1) and
(2,5) m = -4/0 , NO slope, vertical line x = 2


Graphs/634110: find an equation of the line that passes through the point and has the indicated slope m. (2,4);m=-1
1 solutions

Answer 399375 by ewatrrr(10682) About Me  on 2012-08-02 10:58:51 (Show Source):
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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.
line that passes through the point (2,4) and has the indicated slope m = -1.
Line
y = (-1)x + b
4 = (-1)·2 + b |Using ordered pair (x,y):(2,4) to solve for b
6 = b
y = -x + 6 or x + y = 6


Rational-functions/634103: Find the missing term of the geometric sequence.
45, x, 1620
1 solutions

Answer 399374 by ewatrrr(10682) About Me  on 2012-08-02 10:54:33 (Show Source):
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Hi,
a%5Bn%5D+=+45%2Ar%5E%28n-1%29
a%5B3%5D+=+45%2Ar%5E%282%29=+1620 r^2 = 36, r = 6
a%5B2%5D=+45%2A6+%5E1+=+270


test/634093: ∫x^4 -2x^3 +5 dx
1 solutions

Answer 399373 by ewatrrr(10682) About Me  on 2012-08-02 10:49:16 (Show Source):


test/634096: ∫(3x^2-2)(x^3-2x)^5 dx
1 solutions

Answer 399372 by ewatrrr(10682) About Me  on 2012-08-02 10:46:28 (Show Source):
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Hi,
Let u = (x^3-2x), du = (3x^2 - 2)dx
int%28%283x%5E2-2%29%28x%5E3+-2x%29%5E5dx%29 = (1/6)(x^3-2x)^6 + C


test/634097: ∫ dx/(x+7)
1 solutions

Answer 399371 by ewatrrr(10682) About Me  on 2012-08-02 10:40:28 (Show Source):
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Hi,
Let u = (x+7), du = dx
int%28dx%2F%28x%2B7%29%29 = ln |x+7| + C


Sequences-and-series/634095: Write the explicit formula for the sequence. Then find the fifth term in the sequence.
a1 = 3 , r = -3
1 solutions

Answer 399369 by ewatrrr(10682) About Me  on 2012-08-02 10:15:38 (Show Source):


Linear-equations/634092: Find the distance between the two points. (Round your answer to the nearest hundredth.)
(5,1) and (9,4)

1 solutions

Answer 399368 by ewatrrr(10682) About Me  on 2012-08-02 10:11:19 (Show Source):
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Hi,
(9,4)
(5,1) D = sqrt%28%289-5%29%5E2+%2B+%284-1%29%5E2%29+=+sqrt%284%5E2+%2B+3%5E3%29+=+sqrt%2825%29+=+5


Equations/634088: Find all real solutions of the equation.
x^2 + 5x - 6 = 0

1 solutions

Answer 399367 by ewatrrr(10682) About Me  on 2012-08-02 10:08:39 (Show Source):
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Hi,
x^2 + 5x - 6 = 0
(x + 6)(x -1) = 0 x = -6 or x = 1
Use FOIL to check the factoring
F First terms x^2
O Outside terms -x
I Inside terms +6x
L Last terms -6


Polynomials-and-rational-expressions/634076: divide the following expression
27z+23z^2+6z^3/2z+3
a. 3z^2+7z+3 and a remainder or -9
b. 3z^2+16z+3 and a remainder or 6
c. 3z+7
d. 5z^2+7z
if you could show me how to get the answer I would really appreciate it
1 solutions

Answer 399365 by ewatrrr(10682) About Me  on 2012-08-02 10:05:22 (Show Source):
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Hi,
27z+23z^2+6z^3/2z+3 = 3z^2 +7z + 3 R = -9
Found by doing routine long division
3z^2 + 7z + 3
2z +3|6z^3 + 23z^2 + 27z


Polynomials-and-rational-expressions/634067: y=(x^3 -3x^2)/(2x-1)
1 solutions

Answer 399363 by ewatrrr(10682) About Me  on 2012-08-02 09:57:30 (Show Source):
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Hi,
y=(x^3 -3x^2)/(2x-1) = .5x^2 - 1.25x - .625 R = -.625
Found by doing routine long division
2x -1|x^3 - 3x^2

Equations/634063: -14-v/9=-12
1 solutions

Answer 399362 by ewatrrr(10682) About Me  on 2012-08-02 09:50:02 (Show Source):
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Hi,
-14-v%2F9=+-12
-2 = v/9
-18 = v


test/634064: Find the area between the curves y=x^2 -3x and y=-x
1 solutions

Answer 399359 by ewatrrr(10682) About Me  on 2012-08-02 09:38:34 (Show Source):
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int%28+%28x%5E2+-+3x%29%2C+dx%2C+0%2C+2%29 = x%5E3%2F3+-+%283%2F2%29x%5E2+=+8%2F3+-+6+=+8%2F3+-+18%2F3+=+-10%2F3+=+-3%261%2F3
int%28%28-x%29%2C+dx%2C+0%2C+2%29 =+-x%5E2%2F2+=+-2
-1%261%2F3 is the Area between the curves


Rectangles/634050: The area of a square field is 100 sq m. less than the area of a rectangular field of dimensions
48 m and 12 m. Find the perimeter of the square.
1 solutions

Answer 399352 by ewatrrr(10682) About Me  on 2012-08-02 08:57:41 (Show Source):
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Hi,Previously Posted
The area of a square field is 100 sq m. less than the area of a rectangular field of dimensions 48 m and 12 m.
A%5Bs%5D+=+48m%2A12m+-+100m%5E2+=+476mm%5E2 , s = 21.81m, P = 87.27m^2


Probability-and-statistics/634051: a random variable X has the following probability distribution.
x|1|2|3|4|5|
p(x=x)|1/15|a|1/5|b|1/3|
if E(x)=11/3 find the values of a and b

1 solutions

Answer 399351 by ewatrrr(10682) About Me  on 2012-08-02 08:51:31 (Show Source):
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Hi,
if E(x)=11/3 find the values of a and b
Two unknowns, needs 2 EQs... to find a and b
I. 1%2F15+%2B+a+%2B+1%2F5+%2B+b+%2B+1%2F3+=+1 or a%2Bb+=+6%2F15+=+2%2F5
II. comes from the E(x) = 11%2F3+=+1%2A%281%2F15%29+%2B+2%2Aa+%2B+3%2A%281%2F5%29+%2B+4%2Ab+%2B+5%2A%281%2F3%29 or 2a+%2B+4b+=+4%2F3
a + b = 2/5
2a + 4b = 4/3 |Verify the 2 Eqs and Solve for a and b


Square-cubic-other-roots/634061: can You Explain the Venn Diagram??
1 solutions

Answer 399348 by ewatrrr(10682) About Me  on 2012-08-02 08:34:13 (Show Source):
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Hi,
couple of Examples:
the idea is A(only) + B(only) + A&B + neiher A or B = Total Sample
In this example: 5 + 9 + 3 + 7 would tell us we started witha sample of 24

Three Venn



Equations/634052: the sum of two number is 32 and their diference is12 what is the smaller number?

1 solutions

Answer 399344 by ewatrrr(10682) About Me  on 2012-08-02 08:25:09 (Show Source):
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Hi,
Let highlight%28x%29and highlight%28y%29represent the larger and smaller number respectively
x+ y = 32
x- y = 12 |Adding the EQs to eliminate y
2x = 44
x = 22 and
y = 10 , the smaller number y+=+32-22


Rectangles/634048: The area of a square field is 100 sq m. less than the area of a rectangular field of dimensions
48 m and 12 m. Find the perimeter of the square.

1 solutions

Answer 399343 by ewatrrr(10682) About Me  on 2012-08-02 08:19:50 (Show Source):
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Hi,
The area of a square field is 100 sq m. less than the area of a rectangular field of dimensions 48 m and 12 m.
A%5Bs%5D+=+48m%2A12m+-+100m%5E2+=+476mm%5E2 , s = 21.81m, P = 87.27m^2


Age_Word_Problems/634057: 7 years ago, Timothy was 4 years old. Jasmine is now 3 years older than timothy. How old will jasmine be 9 years from now.
1 solutions

Answer 399342 by ewatrrr(10682) About Me  on 2012-08-02 08:15:39 (Show Source):
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Hi,
7 years ago, Timothy was 4 years old. NOW 11
Jasmine is now 3 years older than timothy. Jasmine NOW 14
How old will jasmine be 9 years from now. 23


Surface-area/634059: find the slant height of a square pyramid with a base of 8cm if its lateral area is 128cm^2 ?

1 solutions

Answer 399341 by ewatrrr(10682) About Me  on 2012-08-02 08:00:56 (Show Source):


percentage/634056: Im having a hard time understanding questions that are like this please help!
what is 9.2% of 58
1 solutions

Answer 399340 by ewatrrr(10682) About Me  on 2012-08-02 07:46:21 (Show Source):
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Hi,
For ex: 50% of something is 1/2 of it... 50/100 = 1/2 = .50
If we were finding 50% of 58 that would be .50%2A58+=+29 ...or half of it
Likewise 9.2% of 58 = .092+%2A58+=+5.336


Exponents/634055: (-0.6)^-3

1 solutions

Answer 399339 by ewatrrr(10682) About Me  on 2012-08-02 07:36:39 (Show Source):
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Hi,
Note: a%5E%28-n%29+=+1%2Fa%5En
%28-.6%29%5E%28-3%29+=+1%2F%28-.6%29%5E3+=+-+1%2F.216
-1/.216 = -4.629


Volume/634053: The volume of a cubical water tank is 729 cubic metres. Find the height of the tank and the
area of its bottom surface.
1 solutions

Answer 399338 by ewatrrr(10682) About Me  on 2012-08-02 07:32:05 (Show Source):
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Hi,
The volume of a cubical water tank is 729 cubic metres
h = 9m and Area of its bottome surface is 9m%2A9m+=+81m%5E2


Miscellaneous_Word_Problems/633861: today the cook noted that he had 3 orders for french fries for every 10 people who ordered lunch. altogether, 42 people did not order french fries. how many people ordered lunch at hal's today
1 solutions

Answer 399222 by ewatrrr(10682) About Me  on 2012-08-01 17:09:10 (Show Source):
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Hi,
3 orders for french fries for every 10 people
42 people did not order french fries
how many people highlight%28x%29 ordered lunch at hal's today
Question Sets up a Proportion:
7%2F10+=+42%2Fx || Cross Multiply to solve for x


Graphs/633868: What is the value of x that satisfies the proportion x/3x-2 = 1/2?
Which answer is it?
a. 2
b. 4
c. 6
d. 8
1 solutions

Answer 399219 by ewatrrr(10682) About Me  on 2012-08-01 17:04:45 (Show Source):
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Hi,
x%2F%283x-2%29+=+1%2F2 | Cross Multiplying to solve
2x = 3x-2 | solve for x


Numeric_Fractions/633859: How you do 5/6 to %.
1 solutions

Answer 399217 by ewatrrr(10682) About Me  on 2012-08-01 17:02:30 (Show Source):
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Hi,
+5%2F6+=+3%2F6+%2B+1%2F3 =.833 = 83%26+1%2F3 percent