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Veronika [31]
4 years ago
14

The number of grams of calorie-free sodium in a restaurant meal is compared to the total number of calories in the meal. The cor

relation coefficient relating the two variables is 0.74.
Mathematics
1 answer:
gregori [183]4 years ago
8 0

Answer:

C:It is a strong positive correlation,and it is not likely causal.

Step-by-step explanation:

Correlation refers to the relationship between the two variables i.e x and y. It has mainly two types of correlation. The first one is positive and the other one is negative. It lied between -1 to 1. The 1 represents the strong positive correlation while the -1 represents the strong negative correlation

Since the correlation coefficient is 0.74 which is nearest to 1 so it denotes the strong positive correlation and thus is not causal

Hence, the correct option is c.

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How is this solved. Ive tried different ways and cant get it
lukranit [14]
It's kinda like using variables, but shapes in their place. Let's set the circle to x, the triangle to y, and the square to z. Now the equations say x+(y+z)=13, (y+z)=8, and x+y=7. First thing we can do it plug 8 into the first equation for y+z, getting x+8=13. Subtract 8 to both sides and x (or circle) equals 5. Plug 5 into the last equation, x+y=7 to solve for y, getting 5+y=7. Subtract 5 to both sides and y (or triangle) equals 2. Finally, plug two in for y in y+z=8, getting 2+z=8. Subtract 2 from both sides and z (or square) equals 6. Hope I've explained it clearly!!
3 0
3 years ago
Find the center and radius of the circle whose equation is <img src="https://tex.z-dn.net/?f=x%5E%7B2%7D%20%20%2B%20y%5E%7B2%7D%
LenaWriter [7]

Answer:

the center is (3,1) and the radius is √6.

Step-by-step explanation:

The center of a circle can be found using the equation (x-h)^2 + (y-k)^2 = r^2 and is (h,k) from it. Notice h and k are the opposite value as in the equation.

First write the equation in this form.

x^2 - 6x + ( ?)+ y^2 - 2y + (?) + 4 = 0

Complete the square with each variable to find what numbers should go in place of the question marks.

(-6/2)^2 = -3^2 = 9

(-2/2)^2 = -1^2 = 1

Add 1 and 9 to both sides of the equation.

x^2 - 6x + 9 + y^2 - 2y + 1 + 4 = 1 + 9\\(x-3)^2 + (y-1)^2 + 4 = 10\\(x-3)^2 + (y-1)^2 = 6

So the center is (3,1) and the radius is √6.

4 0
3 years ago
Doubt any proposition whatsoever if you can find the slightest reason to do so
melamori03 [73]
True; always follow your instincts.

(.....is this even a question!?)
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3 years ago
Suppose f is a function of one variable that has a continuous second derivative. Show that for any constants a and b, the functi
salantis [7]

Answer:

We can find the solution using chain rule,

For instance, if u(x,y) = f(ax+by), then

u_{x}(x,y) = a f^{'} (ax+by)  which represents derivative of x with respect to x

and then derivative of u_{x}(x,y) with respect to y is

u_{xy}(x,y) = (ab)^2 (f^{''} (ax+by))^2,  

Now, the derivative of u_{x}(x,y) with respect to x, which is the second derivative, which is

u_{xx}(x,y) = a^2 f^{''} (ax+by)

and the derivative u_{y}(x,y) and   u_{yy}(x,y) are

u_{y}(x,y) = b f^{'} (ax+by),

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Finally, the solution of PDE is

u_{xx}(x,y) u_{yy}(x,y) - u_{xy} ^2 (x,y)

= (a^2 f^{''} (ax+by)) (b^2 f^{''} (ax+by)) - (ab)^2 (f^{''} (ax+by))^2

= (ab)^2 (f^{''} (ax+by))^2) - (ab)^2 (f^{''} (ax+by))^2

= 0,

As the PDE is equal to 0, it means the function u(x,y) = f(ax+by) is the solution of the given PDE.

6 0
4 years ago
A man is in a tree house 7 ft above the ground. He is looking at the top of another tree that is 24 ft tall. The bases of the tr
Margaret [11]
Answer is A. Work is shown in picture. I tried my best to draw on my computer!

8 0
3 years ago
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