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asambeis [7]
2 years ago
12

What is the slope and y-intercept of this equation? y=1/2 x - 6

Mathematics
2 answers:
LenKa [72]2 years ago
8 0

Answer:

hi im bob

Step-by-step explanation:

marta [7]2 years ago
8 0

Answer:

slope=1/2 y-intercept= -6

Step-by-step exp

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Sin^-1(1/2)<br> Please help I don't know how to do inverse or arcs<br> Thanks
Anit [1.1K]

Answer:

pi/6

Step-by-step explanation:

An inverse sin is asking which point on the unit circle has that value as its sin

Which in this case, is pi/6

(\frac{\sqrt{3} }{2} ,\frac{1}{2})

Hope this helps

6 0
2 years ago
Read 2 more answers
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
Find the difference 9x2-24x2
vovikov84 [41]
So, I'm assuming that the x represents multiplication...
Because multiplication has a higher precedence over addition, we'll multiply the numbers first:
18 + 48
Then we simply add:
66
6 0
3 years ago
Read 2 more answers
A line plot titled Household T V Ownership has Number of televisions on the x-axis. There is x about 0, 2 above 1, 4 above 2, 7
bogdanovich [222]

Answer

4

3

Step-by-step explanation:

i did the test.

8 0
3 years ago
5. Use any method to solve the equation. If necessary, round to the nearest hundredth.
DanielleElmas [232]

Answer:

2.45, -2.45

Step-by-step explanation:

Since the equation has only one term in the unknown "x", we can solve for it isolating "x" on one side of the equal sign:

8x^2-48=0\\8x^2=48\\x^2=\frac{48}{8} \\x^2=6\\x=+/-\sqrt{6} \\x=+/- 2.449

Which we can round to: x = - 2.45 and x = 2.45

7 0
3 years ago
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