In order to maximize the chances that experimental groups represent the population of interest, researchers should conduct random sampling and random group assignment
<u>Explanation:</u>
The terms Random sampling and Random group assignment are greatly different in process of the sample selection. The study related to the determination of how sample participants can be drawn from the population refers to the process of Random sampling. The sample participants are subjected to a treatment by the usage of a random procedure comprises the Random group assignment.
When a researcher wants validate externally then random selection can be used. When a researcher wants to determine the effects of treatment within that group which is known as determination of internal validity then he can opt for Random group assignment.
Y=1/2x+1.5
hope that helps!
Step-by-step explanation:
y = 16x²
you put the x values one after the other in place of x and do the calculations.
x = -4
y = 16×(-4)² = 16×16 = 256
x = -3
y = 16×(-3)² = 16×9 = 144
x = -2.5
y = 16×(-2.5)² = 16×6.25 = 100
x = -2
y = 16×(-2)² = 16×4 = 64
x = -1.5
y = 16×(-1.5)² = 16×2.25 = 36
x = -1
y = 16×(-1)² = 16×1 = 16
x = -0.5
y = 16×(-0.5)² = 16×0.25 = 4
x = 0
y = 16×0² = 16×0 = 0
x = 0.5
y = 16×0.5² = 16×0.25 = 4
x = 1
y = 16×1² = 16×1 = 16
and so on.
36, 64, 100, 144, 256
as you can see, the y values are the same for the positive and the negative values.
because squaring a negative number is the same as squaring the same positive number. that is, because (if you remember) squaring something means to multiply that something with itself. and minus multiplied by minus is plus, as plus multiplied by plus is plus.
and that creates the symmetry around the y-axis or x = 0. everything left of the y-axis is mirrored on the right side of the y-axis (and vice versa).
Salt water is your answer
Answer: The equation of the sphere is:
(x-2)^2 + (y-2)^2 + (z-5/2)^2 = sqrt(245)/2
Step-by-step explanation:
The centre of the sphere is the midpoint of the diameter, which is
1/2
[(-4,7,6) + (8,-3,5)] =(2,2,5/2)
The length of the diameter is
=sqrt |(8,-3,5) - (-4,7,6)|^2
=sqrt (12^2 + (-10)^2 + (-1)^2)
=sqrt (144+100+1)
=sqrt(245)
so the radius of
the sphere is:
1/2(sqrt(245)) = sqrt(245)/2.
The equation of the sphere is:
(x-2)^2 + (y-2)^2 + (z-5/2)^2 = sqrt(245)/2
