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3 years ago

What's the area of a square with a radius of 16 root 2

Mathematics

1 answer:

omeli [17]3 years ago

7 0

That's impossible to say. The radius of a square is meaningless.

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Assume you have noted the following prices for books and the number of pages that each book contains. Book Pages (x) Price (y) A

belka [17]

Answer:

a) $y=0.00991 x +1.042$

b) $r^2 = 0.7503^2 = 0.563$

c) $r=\frac{7(30095)-(4210)(49)}{\sqrt{[7(2595100) -(4210)^2][7(354) -(49)^2]}}=0.7503$

Step-by-step explanation:

Data given

x: 500, 700, 750, 590 , 540, 650, 480

y: 7.00, 7.50 , 9.00, 6.5, 7.50 , 7.0, 4.50

Part a

We want to create a linear model like this :

$y = mx +b$

Wehre

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

And:

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

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

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=2595100-\frac{4210^2}{7}=63085.714$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i){n}}=30095-\frac{4210*49}{7}=625$

And the slope would be:

$m=\frac{625}{63085.714}=0.00991$

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

$\bar x= \frac{\sum x_i}{n}=\frac{4210}{7}=601.429$

$\bar y= \frac{\sum y_i}{n}=\frac{49}{7}=7$

And we can find the intercept using this:

$b=\bar y -m \bar x=7-(0.00991*601.429)=1.042$

And the line would be:

$y=0.00991 x +1.042$

Part b

The correlation coefficient is given by:

$r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}$

For our case we have this:

n=7 $\sum x = 4210, \sum y = 49, \sum xy = 30095, \sum x^2 =2595100, \sum y^2 =354$

$r=\frac{7(30095)-(4210)(49)}{\sqrt{[7(2595100) -(4210)^2][7(354) -(49)^2]}}=0.7503$

The determination coefficient is given by:

$r^2 = 0.7503^2 = 0.563$

Part c

$r=\frac{7(30095)-(4210)(49)}{\sqrt{[7(2595100) -(4210)^2][7(354) -(49)^2]}}=0.7503$

4 0

3 years ago

Which of the following are examples of expenses:

BartSMP [9]

Answer:

Step-by-step explanation:

Only interest and car payments are expenses.

Student loans are a form of income which must be paid back with interest.

Paychecks are income.

Cash is a subset of Paychecks.

8 0

3 years ago

Can someone help me fast thanks so much i need help on this math problem thanks again:)

azamat

28.0
+14.2 = 42.2 could i plz get a brainleist i really need it

8 0

3 years ago

The blades of a windmill turn on an axis that is 35 feet above the ground. The blades are 10 feet long and complete two rotation

7nadin3 [17]

<span>It could be C. If the blade spends twice in a minute, it would be 30 seconds. 30=2pi/B=pi/15. </span>

6 0

3 years ago

Read 2 more answers

Convert the complex number z = -12 + 5i from rectangular form to polar form.

Paha777 [63]

Answer:

$z=13(\cos 157\degree +i\sin157\degree)$

Step-by-step explanation:

The given complex number is

$z=-12+5i$

The polar form of this complex number is;

$z=r(\cos \theta +i\sin \theta)$ , where

$r=\sqrt{(-12)^2+5^2}$

$r=\sqrt{144+25}=\sqrt{169}=13$

and

$\theta =\tan^{-1}(\frac{5}{-12})$

This implies that;

$\theta=157\degree$ to the nearest degree.

Hence the polar form is

$z=13(\cos 157\degree +i\sin157\degree)$

7 0

4 years ago