Answer:
The minimum value for
is
.
Step-by-step explanation:
Given function is 
We need to find the maximum value or the minimum value for the function.
Now, differentiate
w.r.t
.


Now, we will equate
to find critical point.

Plug this critical point in to the function
we get,

Also,
which is positive, We have minimum value.
So, the minimum value for
is
.
Answer:
P(A) = 0.95
P(B) = 0.05
P(C) = 0.85
P(D) = 0.15
P(E) = 0.15
P(F) = 0.85
Step-by-step explanation:
Answer:
maybe 223 degrees
Step-by-step explanation:
80.55
5 rounds up so 80.6 is 80.55 rounded to the nearest tenth.
Answer:
18.85 rounded
Step-by-step explanation:
The length of an arc depends on the radius of a circle and the central angle Θ. We know that for the angle equal to 360 degrees (2π), the arc length is equal to circumference. Hence, as the proportion between angle and arc length is constant, we can say that:
L / Θ = C / 2π
As circumference C = 2πr,
L / Θ = 2πr / 2π
L / Θ = r
We find out the arc length formula when multiplying this equation by Θ:
L = r * Θ
Hence, the arc length is equal to radius multiplied by the central angle (in radians).