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stepladder [879]
3 years ago
7

The graph below plots the values of y for different values of x: (look at graph picture)

Mathematics
1 answer:
Dima020 [189]3 years ago
5 0

Answer:

A: x and y have a strong, positive correlation

Step-by-step explanation:

Correlation coefficient measures the relation between   two variable.

it signifies how the value of one variable will change when the change in other variable is made.

Its value ranges from 0 to 1

  1. 0 represent no relation
  2. 1 represent strong relation

thus, as value increases from 0 to 1 , correlation strength increases.

Correlation coefficient can be negative and positive

  1. negative relation signifies that as value of one variable increases then the value of other will decrease and vice-versa
  2. positive relation signifies that as value of one variable increases then the value of other will also increase and vice versa

Given, that correlation coefficient between x and y  is  0.9

since there is no negative sign it means there is positive correlation

value is 0.9

as 0.9 is nearer to  1, it is clear that relation is strong.

based on above discussion

option A

 x and y have a strong, positive correlation is correct answer

If we look at graph we can see that as x increases y also increases.

the rate of increase of value of y in response of x is also high.

Thus, graph also shows that there is strong positive correlation  

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Simplify the expression (x^3- 5x^2 + 7x - 12) ÷ (x – 4) using long division​
Kisachek [45]

Answer:

{x}^{2} - x + 3

Step-by-step explanation:

Instead, since the divisor is in the form of x - c, use what is called Synthetic Division. Remember, in this formula, -cgives you the OPPOSITE terms of what they really are, so do not forget it. Anyway, here is how it is done:

4| 1 −5 7 −12

↓ 4 −4 12

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1 −1 3 0 → {x}^{2} - x + 3

You start by placing the c in the top left corner, then list all the coefficients of your dividend [x³ - 5x² + 7x - 12]. You bring down the original term closest to c then begin your multiplication. Now depending on what symbol your result is tells you whether the next step is to subtract or add, then you continue this process starting with multiplication all the way up until you reach the end. Now, when the last term is 0, that means you have no remainder. Finally, your quotient is one degree less than your dividend, so that 1 in your quotient can be an {x}^{2}, the −1 [x] follows right behind it, and bringing up the rear, comes the 3, giving you the quotient of {x}^{2} - x + 3.

I am joyous to assist you anytime.

5 0
3 years ago
Find the area of a circle with radius, <br> r<br> = 40cm.<br> Give your answer rounded to 3 SF
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Area of circle = pi x r^2
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= 5028.57
= 5030cm^2 (3 SF)
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33 ÷ 3
----------- = 11 / 12.
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It's simplest form is 11 / 12.
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AnnyKZ [126]

Answer:

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Step-by-step explanation:

you can't look it up some how?

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