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3 years ago

HELP WILL GIVE BRAINIEST IF ANSWERED FAST!!! HELP NOWWWW

Mathematics

1 answer:

maksim [4K]3 years ago

8 0

Since it is parallel, that means that the line will have the same slope. Just simplify and add the x values in the first equation to get 33x.

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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

Evaluate 3n - 4 for n = -2

mixer [17]

Okay so 3n- 4 =?
We have to insert the -2 into the problem where n is creating,
3(-2)-4=?
Then we simplify,
-6-4=?
Lastly the answer,
-10

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3 years ago

The car treves 15 milies in 3 hours.

solong [7]

9514 1404 393

Answer:

5 mph
50 miles

Step-by-step explanation:

To find miles per hour, divide miles by hours:

(15 mi)/(3 h) = 15/3 mi/h = 5 mi/h

To find distance, multiply speed by time.

(5 mi/h) × (10 h) = 50 mi

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2 years ago

What is it called when writing a number by adding the value of each digit

Neko [114]

Answer:

Expanded form

Step-by-step explanation:

Expanded form or expanded notation is a system of writing numbers to see the value of each individual digits. The number are written in the form of tens, hundreds and ones etc. The expanded form of 44 will be 40 +4 where 4 is at ones place and 40 is at tens place.

5 0

3 years ago

(-5i)(-3i) ASAP!!! Brainlest <br> Solving quadratic equations<br> Simply

yKpoI14uk [10]

Answer:

15i^2

Step-by-step explanation:

a negative times a positive is a negative and a negative times a negative is positive

-5×-3=15 and i×i=i^2

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3 years ago