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MArishka [77]
3 years ago
10

Find the area of the parallelogram shown below.

Mathematics
1 answer:
Akimi4 [234]3 years ago
3 0

Answer:

135 square units

Step-by-step explanation:

the formula for finding the area of a parallelogram is b x h. in this case the base is 9 and the height is 15 so 9 x 15 = 135

Please mark brainliest :)

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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
2 years ago
What does the “equity” of a tax mean?
Doss [256]

Answer:

Equity of taxation means each citizen pays an amount of tax equal to their income and ability to pay the tax.

7 0
2 years ago
8. If3:8=c:56, the value of c will be
adelina 88 [10]

The scale for the second values is 56/8 = 7

C = 3 x 7 = 21

C= 21

6 0
3 years ago
What is the percent change from 1800 to 1926
Crank
The percentage change is 6.54%
You have to divide 1800÷1926, then multiply by 100 and you'd get 93.46, then subtract 100-93.46 which equals 6.54% :)
4 0
3 years ago
Bicycle rental on the seawall at the beach cost a mandatory minimum of $5 for the first hour and then $4 for each additional hou
zzz [600]
Cost = fix cost + hourly cost - discount

Cost = 4* [5 + 4x - 4x(20/100)] = 4*[5 + 4x - 0.8x] = 4*[5 + 3.2x] = 20 + 12.8x

Answer: option B) 12.8x + 20
7 0
3 years ago
Read 2 more answers
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