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3 years ago

Put these decimals from least to greatest 8.37 8.3 8.219 8.129

2 answers:

7 0

8.129
8.219
8.3
8.37

Always go from left to right as compare the values in the tenth, then hundredths, then thousandths place. Remember that if there is no digit, it is a 0 (after the decimal of course).

DanielleElmas [232]3 years ago

3 0

8.129, 8.219, 8.3, 8.37

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The accompanying data on x = current density (mA/cm2) and y = rate of deposition (m/min)μ appeared in a recent study.

gtnhenbr [62]

Answer:

a) $r=\frac{4(333)-(200)(5.37)}{\sqrt{[4(12000) -(200)^2][4(9.3501) -(5.37)^2]}}=0.9857$

The correlation coefficient for this case is very near to 1 so then we can ensure that we have linear correlation between the two variables

b) $m=\frac{64.5}{2000}=0.03225$

Now we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{200}{4}=50$

$\bar y= \frac{\sum y_i}{n}=\frac{5.37}{4}=1.3425$

$b=\bar y -m \bar x=1.3425-(0.03225*50)=-0.27$

So the line would be given by:

$y=0.3225 x -0.27$

Step-by-step explanation:

Part a

The correlation coeffcient is given by 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=4 $\sum x = 200, \sum y = 5.37, \sum xy = 333, \sum x^2 =12000, \sum y^2 =9.3501$

$r=\frac{4(333)-(200)(5.37)}{\sqrt{[4(12000) -(200)^2][4(9.3501) -(5.37)^2]}}=0.9857$

The correlation coefficient for this case is very near to 1 so then we can ensure that we have linear correlation between the two variables

Part b

$m=\frac{S_{xy}}{S_{xx}}$

Where:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=12000-\frac{200^2}{4}=2000$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i){n}}=333-\frac{200*5.37}{4}=64.5$

And the slope would be:

$m=\frac{64.5}{2000}=0.03225$

Now we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{200}{4}=50$

$\bar y= \frac{\sum y_i}{n}=\frac{5.37}{4}=1.3425$

And we can find the intercept using this:

$b=\bar y -m \bar x=1.3425-(0.03225*50)=-0.27$

So the line would be given by:

$y=0.3225 x -0.27$

4 0

3 years ago

How do i do this question

oksano4ka [1.4K]

Answer:

A) 4.18

B)7.65

Step-by-step explanation:

You have to use a calculator

7 0

2 years ago

A) Two angles are adjacent if their measures add up to 90°.

slavikrds [6]

Answer:

A) False

B) False

Step-by-step explanation:

A. Two angles whose measures add up to 90° are said to be complementary, while two angles are adjacent when formed beside each other. So, adjacent angles might be complementary or supplementary. Thus, the answer to the first part of the question is false.

B. When two angles share a side, they are said to be adjacent to each other. But supplementary angles add up to $180^{o}$ . Since adjacent angles might be complementary or supplementary, then the answer to the second part of the question is false.

4 0

2 years ago

Anthony invested $36,000 in an account paying an interest rate of 5.3% compounded

Westkost [7]

Answer:

3.8 months

Step-by-step explanation:

Question: Anthony invested $36,000 in an account paying an interest rate of 5.3% compounded

quarterly. Assuming no deposits or withdrawals are made, how long would it take, to

the nearest year, for the value of the account to reach $51,800?

First step! What is 5.3% of 36k?

1,908

Second Step! Divide

51,800/1,908= 27.1488469602

Third Step! Round

27.1488469602= 27.1

27.1 weeks.

7 weeks in a month.

12 months in a year.

27.1/7= 3.8

3.8 months

5 0

3 years ago

Read 2 more answers

Factor completely.<br>........

posledela

(2x+5)(5x+1) is completley factored

4 0

3 years ago