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3 years ago

I need help please! thanks :)

Mathematics

1 answer:

monitta3 years ago

3 0

Some things we should know before we start:

Parallel lines are lines that never meet and which are straight.

Perpendicular lines are lines that intersect at a 90° angle.

A picture of different types of lines will be shown below

A picture of the graph will be shown below.

Looking at the graph, we can see that lines intersect and seem to have a 90°.

Therefore, they are perpendicular.

Best of Luck!

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The number of motor vehicles registered in millions in the US has grown as follows:

zysi [14]

Answer:

a) Figure attached

b) $r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}$

For our case we have this:

n=10 $\sum x = 75.819, \sum y = 43.5231, \sum xy = 330.0321, \sum x^2 =574.8598, \sum y^2 =192.8274$

$r=\frac{10(330.0321)-(75.81948)(43.5231)}{\sqrt{[10(574.8598) -(75.819)^2][10(192.8274) -(43.5231)^2]}}=0.989$

So then the correlation coefficient would be r =0.989

Step-by-step explanation:

Previous concepts

The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.

Solution to the problem

Part a

Year (x): 1940, 1945 1950, 1955, 1960, 1965, 1970, 1975, 1980, 1985

Vehicles (Y): 32.4, 31.0, 49.2, 62.7, 73.9, 90.4, 108.4, 132.9, 155.8, 171.7

After apply natural log for the two variables and create the scatterplot in excel we got the following result on the figure attached.

Part b

And in order to calculate the correlation coefficient we can use this formula:

$r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}$

For our case we have this:

n=10 $\sum x = 75.819, \sum y = 43.5231, \sum xy = 330.0321, \sum x^2 =574.8598, \sum y^2 =192.8274$

$r=\frac{10(330.0321)-(75.81948)(43.5231)}{\sqrt{[10(574.8598) -(75.81948)^2][10(192.8274) -(43.5231)^2]}}=0.989$

So then the correlation coefficient would be r =0.989

4 0

3 years ago

QUICK !!!

Alexxx [7]

Looks to me like y= x + 1

5 0

3 years ago

The sum of a + b is an odd number if

Grace [21]

Answer:

a is an even number and b is an odd number

Step-by-step explanation:

if a is even and b is even then the sum would be even ex.10+6=16. I'd a and b are both odd the sum would be even ex. 13+9=22. one has to be odd and one has to be even for the sum to be odd ex. 5+4=9

8 0

3 years ago

Write an equation in slope-intercept form of the line that passes through (6, -1) and (3, 47)

katrin2010 [14]

Answer:

Step-by-step explanation:

(47+1)/(3-6) = 48/-3 = -16

y + 1 = -16(x - 6)

y + 1 = -16x + 96

y = -16x + 95

6 0

3 years ago

Change -2-3 into addition problem<br><img src="https://tex.z-dn.net/?f=%28%20-%202%20-%203%20%3D%20" id="TexFormula1" title="( -

SashulF [63]

Answer: - (2 + 3) = -5

<u>Step-by-step explanation:</u>

When combining numbers that have the same sign, you add them and then include the sign.

For example:

-2 - 3 = -(2 + 3) = -5

-6 - 5 = -(6 + 5) = -11

-7 - 8 = -(7 + 8) = -15

8 0

3 years ago

Read 2 more answers