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3 years ago

14) What does a correlation coefficient of r = -0.01 imply about the graph

Mathematics

1 answer:

Elanso [62]3 years ago

5 0

Answer:

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Step-by-step explanation:

You might be interested in

What two numbers can add to 4 but multiple to -12

olasank [31]

Answer:

Numbers: 6 and -2

Step-by-step explanation:

Equations

This question can be solved by inspection. It's just a matter of factoring 12 into two factors that sum 4. Both numbers must be of different signs and they are 6 and -2. Their sum is indeed 6-2=4 and their product is 6*(-2)=-12.

However, we'll solve it by the use of equations. Let's call x and y to the numbers. They must comply:

$x+y=4\qquad\qquad [1]$

$x.y=-12\qquad\qquad [2]$

Solving [1] for y:

$y=4-x$

Substituting in [2]

$x(4-x)=-12$

Operating:

$4x-x^2=-12$

Rearranging:

$x^2-4x-12=0$

Solving with the quadratic formula:

$\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

With a=1, b=-4, c=-12:

$\displaystyle x=\frac{-(-4)\pm \sqrt{(-4)^2-4(1)(-12)}}{2(1)}$

$\displaystyle x=\frac{4\pm \sqrt{16+48}}{2}$

$\displaystyle x=\frac{4\pm 8}{2}$

The solutions are:

$\displaystyle x=\frac{4+ 8}{2}=6$

$\displaystyle x=\frac{4- 8}{2}=-2$

This confirms the preliminary results.

Numbers: 6 and -2

7 0

3 years ago

A train travels 68 kilometers in 2 hours, and then 64 kilometers in 3 hours. What is its average speed

skad [1K]

Average speed is the distance traveled by an object in total and divided by the amount of time an object covers the distance. The formula is -
Average speed = total distance traveled / total time taken
= 68km+64km / 2 hrs.+3hrs.
= 132km / 5hrs.
= 26.4km/hr.
Therefore, the train's average speed is 26.4km/hr.

5 0

3 years ago

Which integer did he write?

cluponka [151]

-3 is the integer Phillip wrote

7 0

3 years ago

Read 2 more answers

Determine the value of x

Tomtit [17]

Answer:

the answer will be Root 2

Step-by-step explanation:

x^2 = 1^2 + 1^2

We take the unmentioned side as 1 because it is an isosceles triangle and thus 2 of the sides will have the same measure

x^2 = 1 + 1

x^2 = 2

taking square root on both the sides

x = root of 2

3 0

3 years ago

Solve: 3x - 9 = 5(x-3)

Viefleur [7K]

Hi,

$3x - 9 = 5(x-3)\\3x - 9 - 5(x-3)= 0\\3x -9 -5x +15 =0\\6-2x=0\\6=2x\\x=3$

Have a good day.

3 0

3 years ago