Answer:
c. 4 and 42
Step-by-step explanation:
Given
-- independent variables
---- observations
Required
The numerator and denominator degrees of freedom
The denominator degrees of freedom is:



For the numerator, we have:


Answer: -23
Step-by-step explanation:
Since we are given the value of m, all we have to do is to plug m into the expression and solve.
-23(-38+39) [parenthesis]
-23(1) [multiply]
-23
Now, we know that the expression is -23 when m=-38.
Answer:
One of these numbers is a cube number which means that it could be 1,8, or 27 because those are the first three cube numbers.
If you go with one then you have to find two more numbers that add up to 35 and are a factor of 20, which is not possible.
Then you use 8, which means you have to find two numbers that add up to 26, and are factors of 20, which could be nothing, there aren't any.
Last you do 27 which means you need to find two numbers that add up to 9 and are factors of 27, which can be 4 and 5, because 4+5=9 and 4*5=20.
27,4,5
Hope this helps ;)
Answer:
76.53 cm
Step-by-step explanation:
From the question, the triangle formed has 2 sides and an included angle ;
Angle, θ = C = 45°
We use cosine rule :
Taking the side to find as c
a = 100 ; b = 100
From cosine rule :
c = sqrt(a² + b² - 2abCosC)
c = sqrt(100² + 100² - 2(100*100)Cos45
c = sqrt(10000 + 10000 - 20000 * 0.7071067)
c = sqrt(20000 - 14142.135)
c = sqrt(5857.865)
c = 76.536690
c = 76.53 cm