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3 years ago

A manufacturer of rectangular tarpaulins uses the

Mathematics

1 answer:

brilliants [131]3 years ago

5 0

Answer:

f(x) = x + 7 and g(x) = x + 3

Step-by-step explanation:

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When a figure is translated on a coordinate grid, what conclusion can you draw from the pre-image and the image?

ad-work [718]

Answer:

Option 4 is correct.

Step-by-step explanation:

8 0

3 years ago

lee has 10$ in a savings account the interest rate is 5% compounded annually to the nearest cent how much will he have in 3 year

Mazyrski [523]

Answer:

Step-by-step explanation:

6 0

2 years ago

Find the length of a square with an area of 169 in2.

mrs_skeptik [129]

Find the length of a side of a square with an area of 169 in^2.

Answer:

D. 13 in

Step-by-step explanation:

A square has sides of equal length.

A = L^2 where: A = area and L = side

L^2 = 169

L=√169

L=13 in^2.

6 0

3 years ago

What numbers multiplie to equal -30 but add to equal -1

VashaNatasha [74]

Answer:

5 and -6.

Step-by-step explanation:

When you add 5 and -6, you get -1. When they are multiplied, you get -30. I just did this by finding all of the factors that went into 30 and making one negative.

5 0

3 years ago

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