To calculate the z-statistic, we must first calculate the
standard error.
Standard error is standard deviation divided by the square
root of the population. In this case, it is equal to 2.68.
The z-score is defined the distance from the sample to the
population mean in units of standard error.
z = (195 – 208)/2.68 = -4.86
43.66 minutes
4^2*5+20*x-x^2/2=0
Or
Initial volume of water plus rate of water in minus rate of water out
We have to find the" ratio of the area of sector ABC to the area of sector DBE".
Now,
the general formula for the area of sector is
Area of sector= 1/2 r²θ
where r is the radius and θ is the central angle in radian.
180°= π rad
1° = π/180 rad
For sector ABC, area= 1/2 (2r)²(β°)
= 1/2 *4r²*(π/180 β)
= 2r²(π/180 β)
For sector DBE, area= 1/2 (r)²(3β°)
= 1/2 *r²*3(π/180 β)
= 3/2 r²(π/180 β)
Now ratio,
Area of sector ABC/Area of sector DBE =
= 4/3