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professor190 [17]
3 years ago
11

Factor the expression using the GCF. 42 – 12 =

Mathematics
1 answer:
Brilliant_brown [7]3 years ago
8 0

Answer:

42-12=30

Step-by-step explanation:

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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 statement is false?
Karolina [17]

Answer:

D is the correct answer

Step-by-step explanation:

Not all rectangles are squares.

4 0
3 years ago
Read 2 more answers
243.875 rounded to the nearest tenth hundreth ten and hundred
REY [17]
243.875 rounded to the nearest tenth is...... 243.9 :)
243.875 rounded to the nearest hundredth is ...... 243.88 :)
243.875 rounded to the nearest ten is ...... 240 :)
243.875 rounded to the nearest hundred is ......200 :)

thank you for the question and hopefully this helped you :)
7 0
3 years ago
Arrange these numbers from least to greatest: 2 over 5 comma text   end text − 3 over 7 comma text end text 2 over 3.
olga_2 [115]
3 over 7, 2 over 5, 2 over 3 so your answer is b. this is the correct answer I think because1/2 equals one half 2/2 equals 1 whole hope you understand what I meanunderstand what I mean
4 0
4 years ago
What is GCF of 27 45 63
givi [52]

The greatest common factor of 27, 45, and 63 is 9

8 0
4 years ago
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