Answer: Great
Step-by-step explanation:
This problem deals the rate of change.
For the formula of the area of a circle, we differentiate both sides with respect to time t.
(A = πr^2) d/dt
dA/dt = 2πr (dr/dt)
Since we don't know yet the radius r, the area of a circle is given.
A = πr^2
r^2 = A/π = 4π/π
r^2 = 4
r = 2 cm
Therefore, the rate of the radius is
dA/dt = 2πr (dr/dt)
dr/dt = (dA/dt)/(2πr)
dr/dt = π/(2π*2)
dr/dt = 0.25 cm/min
Hope this helps.
Answer: Firstly in this question, we need to solve for
α
which is the part of the distribution of which we not looking for.
we can do this with the sum:
α
=
1
−
0.76
=
0.24
as
0.76
=
76
%
we also know that our Standard Normal Distribution is symmetric, so we must divide that
α
to be split on either side of our distribution. so we solve for:
α
2
=
0.24
2
=
0.12
then we find a correlating
z
-score for the value
0.12
and we get that
−
z
=
−
1.175
and
z
=
1.175
This becomes easier to understand when visualized, so observe how we do this sum.
Step-by-step explanation:
Answer:
2/21
Step-by-step explanation:
Answer:
less than
Step-by-step explanation: