Yes, the correlation coefficient is statistically significance
The precise metric used in a correlation analysis to quantify the strength of the linear relationship between two variables is the correlation coefficient. In a correlation report, the r stands for the coefficient.
Given,
Sample size, n = 4
Where ρ is the population correlation.
Then the number of degrees of freedom is, df = n-2 = 4-2 = 2
The corresponding critical correlation value re for a significance level of a 0.01, for a two-tailed test is た= 0.254
Here,
The null hypothesis, = ρ - 0 is rejected
Suppose lr> re 0.254
Because on the sample correlation provided, we know that lrl = 0.835>=0.254.
Here, it is clear that the null hypothesis is rejected.
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Answer:
A,C,F,G,H
Step-by-step explanation:
According to the given statement the radius of the circle before dilation is 1/2ft and the scale factor is 8. The dilation by scale factor 8 means the radius of new circle is 8 times of the original circle(4ft)
The circumference of the circle is 2πr.
If we replace r by 8r and substitute it in the formula then the circumference will be:
C=2π(8r)
C=8*(2πr)
It means the circumference is 8 times the original circumference.
Now put the value of original circle radius in this new circumference we get:
C=8*(2πr)
C=8*(2π*1/2)
C=8πft
Now the area of the circle = πr^2
Now put the value of r replaced by 8r in the formula.
A=π(8r)^2
A=64πr^2
Thus the area will be 64 times by the original circle area
If we plug the value of original circle radius in this new formula of area we get.
A=64πr^2
A=64π(1/2)^2
A= 16πft^2
Thus the correct statements are: A, C, F,G,H....
Answer:
Therefore Based on the Figure only the third option i.e C. ic True
Step-by-step explanation:
Given:
Let label the figure first such that
In Δ ABC , ∠C = 90° , ∠ B = 62°,
AB = Hypotenuse = c
AC = 17
To Find:
True Statements
Solution:
Triangle sum property:
In a Triangle sum of the measures of all the angles of a triangle is 180°.
Substituting the values we get
In Right Angle Triangle ABC , Cosine Identity we have
Substituting the values we get
Here in this figure
Substituting we get
Therefore Based on the Figure only the third option i.e C. is True
Answer choice A
8 x 2.54=20.32
Answer:
Step-by-step explanation:
difference of a number and 9 means to subtract
twice that means multiply by 2
at least is greater than or equal to