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4 years ago

Branilest and 30 point please answer

Mathematics

1 answer:

Lynna [10]4 years ago

7 0

Answer:

Addition Property of Equality

Step-by-step explanation:

System of Equations

When two equations are given and two variables are unknown in both equations, then we can solve the system in several ways.

One method consists in adding both equations term by term and eliminate one of the variables. That property is called the addition of equalities. Let's consider the equations given in the problem:

$5x+4y=-2\\2x-4y=6$

If we add both equations, we have

$5x+4y+2x-4y=-2+6$

Simplifying

$7x=4$

By adding both equations we managed to eliminate the variable y and could easily find the value of x

$x=4/7$

Answer: Addition Property of Equality

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Consider the two regression lines 3x+2y=26 and 6x+y=31, the regression coefficient of y on x is

Olin [163]

The regression lines 3x+2y=26 and 6x+y=31 are linear regressions

The mean values are 4 and 7 and the correlation coefficient between x and y is 0.25

The standard deviation of x is 2/13

The mean value and the correlation

We have the equations to be:

3x+2y=26 and 6x+y=31

Make y the subject in the second equation

y = 31 - 6x

Substitute y = 31 - 6x in the first equation

3x+2[31 - 6x] = 26

Expand

3x+ 62 - 12x = 26

Collect like terms

3x - 12x = 26 - 62

Evaluate

-9x = -36

Divide by - 9

x = 4

Substitute x = 4 in y = 31 - 6x

y = 31 - 6 * 4

y = 7

This means that the mean values are 4 and 7

To determine the correlation coefficient, we make y the subject in 3x+2y=26 and x the subject in 6x+y=31.

So, we have:

y = 13 - 3x/2 and x = 31/6 - 1/6y

The above means that:

Bxy = -1/6 and Byx = -3/2

The correlation coefficient is then calculated as:

r^2 = Bxy * Byx

r = -1/6 * -3/2

r = 0.25

Hence, the correlation coefficient between x and y is 0.25

The standard deviation of x

We have:

Var(y) = 4

In (a), we have:

y = 13 - 3x/2

To solve further, we make use of:

Var(y) = Var(ax + b) = a^2Var(x)

This gives

Var(y) = Var(13 - 3x/2) = 13^2 * Var(x)

So, we have:

Var(y) = 13^2 * Var(x)

Substitute 4 for Var(y)

4 = 13^2 * Var(x)

Divide both sides by 13^2

4/13^2 = Var(x)

Express 4 as 2^2

(2/13)^2 = Var(x)

So, we have:

Var(x) = (2/13)^2

Take the square root of both sides

SD(x) = 2/13

Hence, the standard deviation of x is 2/13

3 0

2 years ago

208/72 please help me

Montano1993 [528]

I think it is 2.8, If not sorry!

7 0

3 years ago

Read 2 more answers

From the elements Li,K,Mg,C,Al,S identify the (a) element belonging to the same group

melisa1 [442]

Answer:

(a) Li and K belongs to the same group.

(b) Mg has the tendency to lose two electrons.

(d) K is the most metallic element.

(e) S forms acidic oxide.

(f) Al belongs to group 13.

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6 0

3 years ago

Read 2 more answers

Function or Non-Function

Olenka [21]

Answer:

2 is not a function.

3 is a function

Step-by-step explanation:

one x value should each have a line leading off it. there are 2 y values for one x values in question 2 so its not a function

6 0

3 years ago

Using the 3 functions below, make the desired transformation(s) to the correct function and describe the transformation(s). Writ

Eduardwww [97]

Answer:

The transformation of $g(x)$ to $k(x)$ consists in a vertical translation. The new equation is $k(x) = -12\cdot x-6$ .

Step-by-step explanation:

Let $g(x) = -12\cdot x - 3$ . We proceed to make the required transformations on $g(x)$ , which consists in one vertical translation, 3 units in the -y direction. That is to say:

$k(x) = g(x) - 3$ (1)

$k(x) = (-12\cdot x - 3) - 3$

$k(x) = -12\cdot x-6$

Then, the transformation of $g(x)$ to $k(x)$ consists in a vertical translation. The new equation is $k(x) = -12\cdot x-6$ .

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3 years ago