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Zina [86]
3 years ago
7

What is the equation of the line that passes through the point (-5, 1) and has a slope of -6/5?

Mathematics
1 answer:
NNADVOKAT [17]3 years ago
7 0

Answer:

y = -6/5x - 5

Step-by-step explanation:

Use rise over run to find the slope of the line, and the -5 comes from the y-intercept

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A coach is assessing the correlation between the number of hours spent practicing and the average number of points scored in a g
cricket20 [7]

Answer:

a) r=\frac{9(396)-(18)(153)}{\sqrt{[9(51) -(18)^2][9(3141) -(153)^2]}}=1  

We have a perfect linear relationship between the two variables

b) m=\frac{90}{15}=6  

Nowe we can find the means for x and y like this:  

\bar x= \frac{\sum x_i}{n}=\frac{18}{9}=2  

\bar y= \frac{\sum y_i}{n}=\frac{153}{9}=17  

And we can find the intercept using this:  

b=\bar y -m \bar x=17-(6*2)=5  

So the line would be given by:  

y=6 x +5  

c) For this case the slope indicates that for each increase of the number of hours in 1 unit we have an expected increase in the score about 6 units.

And the intercept 5 represent the minimum score expected for any game

Step-by-step explanation:

We have the following data:

Number of hours spent practicing (x) 0 0.5 1 1.5 2 2.5 3 3.5 4

Score in the game (y) 5 8 11 14 17 20 23 26 29

Part a

The correlation coefficient is given:

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=9 \sum x = 18, \sum y = 153, \sum xy = 396, \sum x^2 =51, \sum y^2 =3141  

r=\frac{9(396)-(18)(153)}{\sqrt{[9(51) -(18)^2][9(3141) -(153)^2]}}=1  

We have a perfect linear relationship between the two variables

Part b

m=\frac{S_{xy}}{S_{xx}}  

Where:  

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}=51-\frac{18^2}{9}=15  

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i){n}}=396-\frac{18*153}{9}=90  

And the slope would be:  

m=\frac{90}{15}=6  

Nowe we can find the means for x and y like this:  

\bar x= \frac{\sum x_i}{n}=\frac{18}{9}=2  

\bar y= \frac{\sum y_i}{n}=\frac{153}{9}=17  

And we can find the intercept using this:  

b=\bar y -m \bar x=17-(6*2)=5  

So the line would be given by:  

y=6 x +5  

Part c

For this case the slope indicates that for each increase of the number of hours in 1 unit we have an expected increase in the score about 6 units.

And the intercept 5 represent the minimum score expected for any game

5 0
3 years ago
Greatest common factor of 76 and 675
babymother [125]
The greatest common factor of 76 and 675 is 1
5 0
2 years ago
How do you solve this question
Wewaii [24]

<h2>Solution:.</h2>

Let the ceilings be <em>a</em><em> </em><em>&</em><em> </em><em>b</em>

and the distance from one corner of the ceiling to the opposite be <em>c</em>

<em>then </em><em>using</em><em> </em><em>Pythagoras</em><em> theorem</em>

c =  \sqrt{a {}^{2} +  b  {}^{2} } \\  c =    \sqrt{16 {}^{2} +  12  {}^{2} } \\ c =  \sqrt{256 + 144 }  \\ c =  \sqrt{400}  \\ c = 20

hence ,c .°. the distance from one corner of the ceiling to the opposite is<em> </em><em>2</em><em>0</em>

3 0
2 years ago
How do you find the x i need help really fast
kvasek [131]
I think that answer would be C
5 0
3 years ago
After 8 examinations, Kacey's average was 55. Her next result increased her average to 60. What was the next score?
Yuki888 [10]

Answer:

65

Step-by-step explanation:

they're going by 5s every time her score increases. hope I helped (:

5 0
2 years ago
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