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3 years ago

Simplify the variable expression by evaluating its numerical parts and enter your answer m - 22 + 37 - 8

Mathematics

1 answer:

skad [1K]3 years ago

5 0

M-22+29

I think I hope this helps

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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

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

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3 years ago

Geometry help I need the statements and reasons

GenaCL600 [577]

O is the midpoint of Reason: Defintiin of a midpoint

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3 years ago

Please help...trying to help my son with Alegebra, but it's been 30 years.

xz_007 [3.2K]

Wait it says ur in high school so u can't be over 30. that isn't possible. So what's the problem here? not good at math.

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4 years ago

A committee must be formed with 3 teachers and 3 students. If there are 10 teachers to choose from, and 9 students, how many dif

erma4kov [3.2K]

Answer:

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Step-by-step explanation:

sorry big homie on school

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3 years ago

Use a geometric formula to solve the problem. A rectangle has a width of 4 centimeters and a perimeter of 26 centimeters. Find t

AURORKA [14]

The length is 9.

The formula to find the perimeter of a rectangle is

2L + 2W = P.

2L + 2(4) = 26.

2L + 8 = 26.

2L + 8 (-8) = 26 (-8).

2L = 18.

2L/2 = 18/2.

L = 9.

8 0

3 years ago