Answer:
C. populations are non normal and the sample sizes are large.
Step-by-step explanation:
To test hypotheses about the difference between two populations means we deal with the following three cases.
1) both the populations are normal with known standard deviations.
2)both the populations are normal with unknown standard deviations.
3) both the populations are non normal in which case both the sample sizes are necessarily large.
So option C is the correct answer.
Answer:
The x-coordinate is \dfrac{\pi}{6}[/tex].
Step-by-step explanation:
We are given a function f(x) as:

Now on differentiating both side with respect to x we get that:

When 
this means that 
Hence, cosine function takes the negative value in second and third quadrant but we have to only find the value in the interval
.
also we know that
----(1) (which lie in the second quadrant)
so on comparing our equation with equation (1) we obtain:

Hence, the x-coordinates where
for
is
.
Answer:
Option A 90,68


Step-by-step explanation:
see the attached figure to better understand the problem
The figure shows a kite
we know that
A kite properties include
1) two pairs of consecutive, congruent sides
2) congruent non-vertex angles
3) perpendicular diagonals
Find the measure of angle 1
we have that
----> by the diagonals are perpendicular
Find the measure of angle 2
we know that
triangle AEB is congruent with triangle CEB
so

In the right triangle EAB
----> by complementary angles in a right triangle
so

therefore

Keywords:
<em>Product, factors, polynomial, distributive property
</em>
For this case we must find the product of two factors of a polynomial. To do this, we must apply the distributive property, which states: 
So:

Thus, the product of
is: 
Answer:
The product of
is: 