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Tcecarenko [31]
3 years ago
12

Which statement best describes the association between variable X and variable Y?

Mathematics
2 answers:
postnew [5]3 years ago
5 0
I think its A perfect negative association

perfect because it is in a straight order and negative because its slope is negative
uranmaximum [27]3 years ago
5 0

Answer:

Option: A is the correct answer.

A. Perfect negative association.

Step-by-step explanation:

A perfect association in a scatter plot is one in which we get a line of best fit such that all the points could lie on that line or we can say that the points have a linear association.

Also a negative association is one in which there is a  increase in one variable  while decrease in the other.

So, here in the scatter plot we could clearly observe that with the increase in the Variable X the other variable i.e. Variable Y is decreasing.

Hence, Option: A is the correct answer.

A. perfect negative association

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Tahmid has 96 G.I. Joe action figures and Sandeep has one-third as much as Tahmid does. How many figures must Tahmid give Sandee
Ann [662]
Tahmid has 96 figures, Sandeep has 1/3 of it so 
96(1/3) = 96/3 = 32
Sandeep has 32 figures

Tahmid 96 ; Sandeep 32

How many must tahmid give so they have the same figures?
First take the difference of the two so we know how many tahmid can give. 
96-32 = 64
now they each have 32 and 64 give or keep. for each one tahmid gives, he must keep one himself so to match the number they both own. so we divide the number of 2, one part to give, the other part to keep himself.
64/2 = 32
So, Tahmid must give Sandeep 32 figures to have equal number of figures of 64 each. 
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The use of the words weary, dreary, and bleak in "The Raven" contribute to:
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The answer is definitely C because the words are very dark and creepy.
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How many pounds of cashews that cost $14 per pound must be mixed with 5 pounds of peanuts that cost $6.50 per pound to make mixe
Fantom [35]

The amount of cashew mixed is 5 pounds

<h3>Word problem on total cost</h3>

Cost of 1 pound of cashew = $14

Cost of 1 pound of peanut = $6.50

Total cost of 1 pound of the mixed nuts = $10.25

Cost of 5 pounds of peanuts = 5 x $6.50

Cost of 5 pounds of peanuts = $32.50

Let the amount of cashew  be x

Total cost of x cashew = 14x

Total amount of the mixed nuts = x + 5

Total cost of the mixed nuts = 10.25(x+5)

Total cost of the mixed nuts = 10.25x + 51.25

14x  +  32.50  =  10.25x  +  51.25

14x - 10.25x  =  51.25  -  32.50

3.75x  =  18.75

x  =  18.75/3.75

x  =  5

Therefore, the amount of cashew mixed is 5 pounds

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Find the complex factors of the quadratic trinomial x^2 + 8x +17
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Answer: Factoring  x2+8x+17

The first term is,  x2  its coefficient is  1 .

The middle term is,  +8x  its coefficient is  8 .

The last term, "the constant", is  +17

Step-1 : Multiply the coefficient of the first term by the constant   1 • 17 = 17

Step-2 : Find two factors of  17  whose sum equals the coefficient of the middle term, which is   8 .

     -17    +    -1    =    -18

     -1    +    -17    =    -18

     1    +    17    =    18

     17    +    1    =    18

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Equation at the end of step

1

:

 x2 + 8x + 17  = 0

STEP

2

:

Parabola, Finding the Vertex:

2.1      Find the Vertex of   y = x2+8x+17

Parabolas have a highest or a lowest point called the Vertex .   Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) .   We know this even before plotting  "y"  because the coefficient of the first term, 1 , is positive (greater than zero).

Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two  x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.

Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.

For any parabola,Ax2+Bx+C,the  x -coordinate of the vertex is given by  -B/(2A) . In our case the  x  coordinate is  -4.0000  

Plugging into the parabola formula  -4.0000  for  x  we can calculate the  y -coordinate :

 y = 1.0 * -4.00 * -4.00 + 8.0 * -4.00 + 17.0

or   y = 1.000

Parabola, Graphing Vertex and X-Intercepts :

Root plot for :  y = x2+8x+17

Axis of Symmetry (dashed)  {x}={-4.00}

Vertex at  {x,y} = {-4.00, 1.00}  

Function has no real rootsvSolving   x2+8x+17 = 0 by Completing The Square .

Subtract  17  from both side of the equation :

  x2+8x = -17

Now the clever bit: Take the coefficient of  x , which is  8 , divide by two, giving  4 , and finally square it giving  16

Add  16  to both sides of the equation :

 On the right hand side we have :

  -17  +  16    or,  (-17/1)+(16/1)

 The common denominator of the two fractions is  1   Adding  (-17/1)+(16/1)  gives  -1/1

 So adding to both sides we finally get :

  x2+8x+16 = -1

Adding  16  has completed the left hand side into a perfect square :

  x2+8x+16  =

  (x+4) • (x+4)  =

 (x+4)2

Things which are equal to the same thing are also equal to one another. Since

  x2+8x+16 = -1 and

  x2+8x+16 = (x+4)2

then, according to the law of transitivity,

  (x+4)2 = -1

We'll refer to this Equation as  Eq. #2.2.1  

The Square Root Principle says that When two things are equal, their square roots are equal.

Note that the square root of

  (x+4)2   is

  (x+4)2/2 =

 (x+4)1 =

  x+4

Now, applying the Square Root Principle to  Eq. #2.2.1  we get:

  x+4 = √ -1

Subtract  4  from both sides to obtain:

  x = -4 + √ -1

In Math,  i  is called the imaginary unit. It satisfies   i2  =-1. Both   i   and   -i   are the square roots of   -1

Since a square root has two values, one positive and the other negative

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  has two solutions:

 x = -4 + √ 1 •  i

  or

 x = -4 - √ 1 •  i

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