Answer:
The correlation coefficient 0.5 depicts that there is moderate positive correlation between y and x.
Step-by-step explanation:
The linear regression equation is
y= a+bx
The given linear equation is
y= 10x
Here, slope=b=10 and intercept=a=0.
From above equation,
ybar=10xbar
We are given that CVx=0.1 and CVy=0.2
where CV=(standard deviation/mean)*100
We know that
b=r(Sy/Sx)
Multiplying by xbar/ybar on both sides
(xbar/ybar)b=r(Sy/Sx)(xbar/ybar)
(xbar/ybar)b=r[(Sy/ybar)/(Sx/xbar))]
(xbar/ybar)b=r[CVy/CVx]
As CVy/CVx=(Sy/ybar)*100/(Sx/xbar)*100=(Sy/ybar)/(Sx/xbar).
By putting ybar=10xbar, b=10, CVx=0.1 and CVy=0.2.
(xbar/10xbar)10=r(0.2/0.1)
1=r(0.2/0.1)
1=r(2)
r=0.5
There is moderate positive correlation between y and x.
Answer:
at least 51,569 blocks ( same as 51569)
Step-by-step explanation:
973 * 53
Answer:
<h3><u>Required Answer</u><u>:</u><u>-</u></h3>
The ratio of boys and girls =3:5
Let
Number of boys=3x
Number of girls =5x
- According to the question Numbers of girls=130


- Now interchange both sides and get x




<h3>Now </h3>
The number of boys=3x
=3×26=78
Number of boys is 78.
The area of the pentagon, rounded to the nearest tenth will be 32.7 square cm. Then the correct option is C.
<h3>What is a polygon?</h3>
The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.
A regular pentagon has an apothem measuring 3 cm and a perimeter of 21.8 cm.
Then the side length of the pentagon will be
5 x Side length = 21.8 cm
Side length = 4.36 cm
Then the area of the pentagon, rounded to the nearest tenth will be
Area of pentagon = 5 x area of triangle
Area of pentagon = 5 x 1/2 x 4.36 x 3
Area of pentagon = 32.7 square cm
Thus, the correct option is C.
More about the polygon link is given below.
brainly.com/question/17756657
#SPJ1
Answer:
Please check explanations for answer
Step-by-step explanation:
Here, we want to differentiate between inverse and direct proportion
Let x and y be two quantities
If they are directly proportional;
x/y = k
x = ky
where k is proportionality constant
If inversely;
xy = k
In verbal terms;
For direct proportionality, when one value increase, the other too does so and vice versa
For inverse, when one value inverse, the other decrease