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3 years ago

What does 100 × 30% equal I'm a bit confused

Mathematics

1 answer:

oksian1 [2.3K]3 years ago

3 0

Answer:

Step-by-step explanation:

30% in a calculator is .3

if you multiply 100 by .3 you get 30

also multiplying a number by a percentage is just taking a percentage of that number. so 30% of 100 is 30.

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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

The percentage profit earned by selling a watch for Nu 1920 is equal to the percent loss incurred by selling the same watch for

dimaraw [331]

Answer:

2,000

Step-by-step explanation:

The computation of the price that should be sold for making 25% profit is shown below:

Let cost price be x

Now the equation would be

(1,920 - x) ÷ x × 100 = (x - 1,280) ÷ x × 100

1,920 - x = x - 1,280

2x = 3,200

x = 1,600

Now the sale price would be

= 1,600 × 1.25

= 2,000

6 0

2 years ago

If anyone can help it would be greatly appreciated!

Natali5045456 [20]

Answer:

Second answer choice

Step-by-step explanation:

Since -10 is outside t you multiple every number inside the parenthesis by -10

6 0

3 years ago

Three fourths of college students use the Internet more than the library. Nine hundredths use the library more. How many times m

Leno4ka [110]

Division
4/3X 100/9 = 8 1/3

5 0

3 years ago

Select the correct answer.

Black_prince [1.1K]

Answer:

i think the answer is b if i am wrong please tell me please :(

Step-by-step explanation:

6 0

3 years ago