Answer:
To provide a baseline for judging the survival rates of infants who received whole-body cooling
Step-by-step explanation:
In this case, the purpose of the experiment is to see whether reducing body temperature for three days after birth increased the rate of survival without brain damage.
Then, the proposed method (whole-body cooling) has to be contrasted with the baseline, in this case, the "usual care". If we want to know if this proposed method is statistically better, we have to compare with these baseline with random sampling out of the same population.
If it is not compared to nothing or to a new method, it wouldn't be possible to conclude if the method is better or not than the usual care.
Answer:
.
Step-by-step explanation:
Dilate a point
by a scale factor of
with
as the center, and the resultant point would be at
.
In this question:
Point to dilate:
.
Scale factor:
.
Center of dilation:
.
The resultant point would be:
, which simplifies to
.
Louise wants to factorize completely the given polynomial 
Grouping first, second terms together and third, fourth terms together
= 
Taking
common from first and second terms of the given expression and taking 5 common from the third and fourth terms.
=
Taking (x+3) common from the given expression,
=
is the completely factored form.
Answer:
Step-by-step explanation:
out of 180 you take out 140 so you get 40' for x and its a right triangle so out of 180-40' and 90' you will get 180-130=50' for y
Answer:

Step-by-step explanation:
The equation for a circle is
, where
is the vertex of the circle and
is the radius. Immediately, since the center of the circle is given, we know what
and
are.
is 230 and
is 220.
The only thing we need to find is the radius, which will just be the distance from the center (230,220) to a point on the circumference (170,170). The distance between them can be calculated using the <u>distance formula</u>, which is really just the <u>Pythagorean Theorem</u> rearranged. The formula states that
, where
is the change in the x-coordinates of the two points and
is the change in the y-coordinates of the two points. Plug-in
for 60 and
for 50 to get
. Solve for
, arriving at
. Therefore, the radius of the circle is
.
Finally, we have all of the components to create the equation of the circle. Plug-in 230 for
, 220 for
, and
for
.
The equation of the circle will be
.
Hope this helps :)