Answer:
Lets take the hypothesis
<em>zα/2 </em>
<em>- zα/2 </em>
Step-by-step explanation:
<em>α/2 = 0.10/2 = 0.05
</em>
<em>z(0.05) = 3.92
</em>
<em>-z(0.05) = -3.92
</em>
Answer:
The answer is 
Step-by-step explanation:
when writing scientific notation, there must be one number to the left of the decimal point.
To achieve this in this problem, you need to move the decimal point 3 times to the right.
because you are moving the point to the right, the exponent will be negative.
*rule of thumb: moving the decimal to the left will give you a positive exponent, moving to the right will give you a negative exponent*
therefore you answer should be written as:

hope this helps :)
Answer:
x = 4
Step-by-step explanation:
Replace all the x's in the equation with -5. f(5)=(5)2-5+2. > 10-5+2 > 5+2= 7
The Answer is 7
Answer:
is outside the circle of radius of
centered at
.
Step-by-step explanation:
Let
and
denote the center and the radius of this circle, respectively. Let
be a point in the plane.
Let
denote the Euclidean distance between point
and point
.
In other words, if
is at
while
is at
, then
.
Point
would be inside this circle if
. (In other words, the distance between
and the center of this circle is smaller than the radius of this circle.)
Point
would be on this circle if
. (In other words, the distance between
and the center of this circle is exactly equal to the radius of this circle.)
Point
would be outside this circle if
. (In other words, the distance between
and the center of this circle exceeds the radius of this circle.)
Calculate the actual distance between
and
:
.
On the other hand, notice that the radius of this circle,
, is smaller than
. Therefore, point
would be outside this circle.