The population correlation coefficient is significant if the correlation is closer to 1, less significant is closer to zero, and not significant at all if the correlation coefficient is zero.
- Correlation coefficients are used in determining the significance of a population and the strength of the relationship <u>between two variables. </u>
- This relationship can either be strong, weak, or not exist.
- The correlation coefficient can have values between 0 and 1 inclusive. The population correlation coefficient is significant if the correlation is closer to 1, less significant is closer to zero, and not significant at all if the correlation coefficient is zero.
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Answer:
40 ft
Step-by-step explanation:
The fiagram shows the right triangle (one angle is right angle).
By the Pythagorean theorem,

From the diagram,

then

Answer:
A triangle cannot have side measurements of 1, 4 and 5.
As the sum of two sides i.e. '1+4' of a triangle is not greater than the measure of the third side i.e. '5'.
Step-by-step explanation:
The Triangle Inequality Theorem states that the sum of any two sides of a triangle must be greater than the measure of the third side.
For example, a triangle ΔABC must follow the three conditions which are as follows:
For example, a triangle ΔABC with side lengths:
A = 1
B = 4
C = 5
- A + B > C → 1 + 4 > 5 (FALSE)
- B + C > A → 4 + 5 > 1 (TRUE)
- A + C > B → 1 + 5 > 4 (TRUE)
As the condition i.e. A + B > C → 1 + 4 > 5 is not satisfied, as 1 + 4 > 5 is False.
Therefore, a triangle cannot have side measurements of 1, 4 and 5.
The answer is on the paper as an attachment.
Answer:
The factors are 
Step-by-step explanation:
Subtraction of perfect squares:
The factorization of the subtraction of perfect squares is given by:

In this question:

So

The factors are 