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Wewaii [24]
3 years ago
10

3g-9+11g-21 simlify the expression

Mathematics
2 answers:
oksano4ka [1.4K]3 years ago
6 0
Collect like terms
3g+11g-9-21
Add the like terms up
14g-30
if u have to simplify further, u have
2(7g-15)
Masteriza [31]3 years ago
6 0
The answer is -4g because you have to do 3g-9 you get 6g and then you do 6g+11g and you get 17g and then you subtract that from 21 and you will get -4g. Hoped this helped.
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Solve the proportion. 8/11 = 4/y + 2
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Answer:

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Step-by-step explanation:

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4 0
3 years ago
The slope of the line containing the points (-5,3) and (-2,1) is<br> A.-3/2<br> B.-2/3<br> C.2/3
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The correct answer is B. -2/3 that is the slope
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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
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ankoles [38]
There are 32,760 different orders for the first four positions.

This is a permutation where repetition is not allowed; the formula for that is:

_nP_r=\frac{n!}{(n-r)!}

For our problem, we have:
_{15}P_4=\frac{15!}{(15-4)!}=\frac{15!}{11!}=32760
3 0
3 years ago
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