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ipn [44]
3 years ago
14

Which choice is the appropriate simplified form n restriction for the variable 12x^2 - 8x / 4x^2

Mathematics
1 answer:
tatiyna3 years ago
5 0
\frac{12x^{2} - 8x}{4x^{2}} = \frac{4x(3x-2)}{4x^{2}} = \frac{3x-2}{x} ,where 

x \neq 0
\\ \\B.   \frac{3x-2}{x} , x \neq 0
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3. Use the following table to answer questions (a – c).
sineoko [7]

Answer:

See below

Step-by-step explanation:

B) The correlation coefficient is r=0.75, which can be determined by plugging the data into a TI-84 calculator.

C) A correlation coefficient of r=0.75 indicates that the correlation between the independent and dependent variable (x and y in this case) is moderately strong with a positive correlation. The closer r is to 1, the stronger the positive correlation. The closer r is to -1, the stronger the negative correlation. If r is closer to 0, then there's no correlation.

7 0
2 years ago
Can a triangle be formed with the sides lengths of 7 cm, 5 cm and 12 cm?
laiz [17]

Answer:

NO because 7+5=12

The sum must be larger (not equal to) the longest side. If it's exactly the same, there's no room to for the shorter two sides to angle up to form a triangle.

5 0
3 years ago
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
this triangular prism has a length of 20 centimeters, an end base of 6 centimeters and an end height of 8 centimeters. what is t
pochemuha

Answer:

960

Step-by-step explanation:

LxWxH = v

V = 20x 6 x 8

7 0
3 years ago
2. Peter drew two rays, AC and AP with A as a common endpoint. Which of the following statements
Ksivusya [100]

Complete question is;

Peter drew two rays, AC and AP with A as a common endpoint. Which of the following statements

might describe Peter's drawing?

I. AC and AP are parallel.

II. PAC is an angle

III. AC and AP are perpendicular

A. I and II

B. II and III

C. I and 111

D. I, II, and III

Answer:

Option B: II & III

Step-by-step explanation:

We are told that Peter drew two rays which are AC and AP.

We are told that A is a common endpoint.

If A is a common endpoint, it means the 2 rays interaction point at A is at an angle.

The angle could also be 90° which means it's possible that the rays AC and AP are perpendicular.

Thus, the correct statements that describe his drawing are: II & III

4 0
2 years ago
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