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fredd [130]
3 years ago
6

What is the correlation coefficient for the data shown in the table?pls help ily r =

Mathematics
2 answers:
PSYCHO15rus [73]3 years ago
6 0

Answer:

The correlation coefficient for the data shown in the table is:

                        r=1

Step-by-step explanation:

We are given a data set as:

          x               y

         0              15

         5              10

         10              5

         15              0  

Cl;early from the data set we could see that as the x-value is increasing by a constant term i.e. 5 than the y-value is also decreasing by a constant term i.e. 5.

Hence, the function that can be best used to describe these data points is:

                        y= -x+15

This means that there is a negative correlation.

Also, the relationship is strictly linear as all the data point lie above these line.

Hence, we know that for a strong linear relationship.

       Hence, the correlation coefficient is: 1

tatiyna3 years ago
4 0
Correlation coefficient is r= -1
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Answer:

A≈345.58cm²

Step-by-step explanation:

Radius= 5cm and the Height= 6cm

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2 years ago
What is the equation of the circle with center (−3, 1) that passes through the point (−5, 3)?
Mariulka [41]

Answer:

( x + 3)^2 + ( y - 1)^2 = 8

Step-by-step explanation:

The equation of a circle with a center and a point

( x - a) ^2 + ( y - b) ^2 = r^2

( x , y) - any point on the circle

( a, b) - center of the circle

r^2 - radius of the circle

( -3 , 1) - center - ( a, b)

a = -3

b = 1

( -5 , 3) - point - ( x, y)

x = -5

y = 3

Step 1: substitute the center into the equation

( x -(-3)^2 + ( y - 1)^2 = r^2

( x + 3)^2 + ( y - 1)^2 = r^2

Step 2 : sub the point into the equation

( x + 3)^2 + ( y - 1)^2 = r^2

( -5 + 3)^2 + ( 3 - 1)^2 = r^2

(-2)^2 + 2^2 = r^2

4 + 4 = r^2

8 = r^2

Step 3 : sub the radius into the equation

( x + 3)^2 + ( y - 1)^2 = r^2

( x + 3)^2 + (y - 1)^2 = 8

Therefore, the equation of the circle is

( x + 3)^2 + (y - 1)^2 = 8

6 0
3 years ago
Construct two line segments with the lengths ratio 3:5.
belka [17]

Answer:

one segment could have a length of 15

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Step-by-step explanation:

8 0
3 years ago
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The question that says " a school has 1200 pupils "
Sonja [21]
How many girls like sports?  well, what's 2/5 of 1200? well, is just their product, 2/5 * 1200.

how many boys like sports?  well, what's 3/5 of 1200? 3/5 * 1200.

\bf \cfrac{2}{5}\cdot 1200\implies \cfrac{2\cdot 1200}{5}\implies \cfrac{2400}{5}\implies \stackrel{girls}{480}
\\\\\\
\cfrac{3}{5}\cdot 1200\implies \cfrac{3\cdot 1200}{5}\implies \cfrac{3600}{5}\implies \stackrel{boys}{720}
\\\\\\
\textit{how many }\stackrel{students}{pupils}\textit{ like sports?}\qquad 480 + 720
8 0
3 years ago
Vector V is in standard position and makes an angle of 50° with the positive x-axis. Its magnitude is 18. Write V in component f
Umnica [9.8K]

Answer:

11.57 units east, 13.79 units upwards

11.57i + 13.79j

Step-by-step explanation:

V = 18 units at an angle of 50° to the positive x-axis

In component Form, this is how each component is calculated

a = 18cos50° = 11.57 units east

b = 18sin50° = 13.79 units upwards

check if your answer is correct

\sqrt{11.57^{2} +13.79^{2} } = 18.0

In vector component form ai + bj = 11.57i + 13.79j

7 0
3 years ago
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