To solve for this, we need to find for the value of x
when the 1st derivative of the equation is equal to zero (or at the
extrema point).
So what we have to do first is to derive the given
equation:
f (x) = x^2 + 4 x – 31
Taking the first derivative f’ (x):
f’ (x) = 2 x + 4
Setting f’ (x) = 0 and find for x:
2 x + 4 = 0
x = - 2
Therefore the value of a is:
a = f (-2)
a = (-2)^2 + 4 (-2) – 31
a = 4 – 8 – 31
a = - 35
In statistics, the number of degrees of freedom is the number of values in the final calculation of a statistic that are free to vary.
The number of independent ways by which a dynamic system can move, without violating any constraint imposed on it, is called number of degrees of freedom.
In other words, the number of degrees of freedom can be defined as the
minimum number of independent coordinates that can specify the position
of the system completely.
<span>
The degree of freedom represents the number of ways in which the expected classes are free to vary in the chi-square goodness-of-fit test.</span>
Answer:
70.52 degrees
Step-by-step explanation:
To find the angles, we must first find the lengths of each side of the triangle. Adding up the respective radii, we can see that
XY = 5+4 = 9 CM
XZ = 6+5 = 11 CM
ZY = 4+6 = 10 CM
Now we can apply the cosine rule
We need to rearrange the rule to solve for x, our missing angle
solving for our unknown angle:
Therefore angle YXZ is 70.52 degrees
Answer:
33.5 cubic inches.
Step-by-step explanation:
If the softball fits perfectly inside the cubical box, the softball is a sphere with diameter of 4 inches (radius os 2 inches).
The volume of a sphere is given by:
For r = 2 inches:
The volume of the softball is 33.5 cubic inches.
