By definition, the word "cardinality" is a term most especially used to determine the "measure of number elements in a set." In addition to that, a sample space simply defines the number of possible outcomes in a random experiment. Therefore, the answer would be "<span>Cardinality refers to the number of outcomes in a sample space."</span>
The maximum compression of the spring is 0.276 m
Step-by-step explanation:
First of all, we calculate the spring constant of the spring, by using Hooke's law:
where
F = 10 kN = 10,000 N is the force applied
x = 1.25 cm = 0.0125 m is the corresponding compression of the spring
k is the spring constant
Solving for k,
When the truck impacts with the spring, all the kinetic energy of the truck is converted into elastic potential energy of the spring, so we can write
(1)
where
m is the mass of the truck
v = 2 m/s is the initial speed of the truck
is the spring constant
x is the compression of the spring
The mass of the truck can be found from its weight:
So now we can re-arrange eq.(1) to find the compression, x:
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For this case we have that the original point is given by:
B = (7, 2)
As the point is reflected through the x axis, then we have the following transformation:
(x, y) --------------> (x, -y) -------------> (x ', y')
Applying the transformation to the original ordered pair we have:
(7, 2) --------------> (7, - (2)) -------------> (7, -2)
Answer:
Point B 'is given by:
B '= (7, -2)
Answer:
Between - groups variance
Step-by-step explanation:
From the question we see that the college freshmen are assigned to one of the three given groups. This means that they are exposed to different experimental conditions and thus it means that the variation differs as a result of different experimental conditions between the groups.
Thus, these differences reflect between - group variance.
