3*4*3-2*4^2 = 36-32 = 4
hope helped
Answer:
40+11q
Step-by-step explanation:
5x+qy
5(8)+q(11)=40+11q
Answer: 0.24 +/- 0.088 = (0.152, 0.328)
Step-by-step explanation:
The point estimate p is given by;
p= 24/ 100 = 0.24
Z value for 96% confidence interval is 2.05
The solution for the given confidence interval is derived using the equation
p +/- z√(pq/n)
Where p = 0.24 q= 1-p = 0.76, n=100 z= 2.05
= 0.24 +/- 2.05√(0.24×0.76/100)
= 0.24 +/- 2.05(0.0427)
=0.24 +/- 0.088
= ( 0.152, 0.328)
Pretty sure law. judicial means of, by, or appropriate to a court or judge.
Answer:
Rate of increase in height =![\frac{dh}{dt}=0.3156ft/min](https://tex.z-dn.net/?f=%5Cfrac%7Bdh%7D%7Bdt%7D%3D0.3156ft%2Fmin)
Step-by-step explanation:
we know that volume of a cone is given by
![V=\frac{1}{12}\pi d^{2}h](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B12%7D%5Cpi%20d%5E%7B2%7Dh)
It is Given that diameter equals height thus we have
![V=\frac{1}{12}\pi h^{2}h\\\\V=\frac{1}{12}\pi h^{3}](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B12%7D%5Cpi%20h%5E%7B2%7Dh%5C%5C%5C%5CV%3D%5Cfrac%7B1%7D%7B12%7D%5Cpi%20h%5E%7B3%7D)
Differentiating both sides with respect to time we get
![\frac{dV}{dt}=\frac{1}{12}\pi \frac{dh^{3}}{dt}\\\\\frac{dV}{dt}=\frac{1}{12}\pi(3h^{2}\frac{dh}{dt})](https://tex.z-dn.net/?f=%5Cfrac%7BdV%7D%7Bdt%7D%3D%5Cfrac%7B1%7D%7B12%7D%5Cpi%20%5Cfrac%7Bdh%5E%7B3%7D%7D%7Bdt%7D%5C%5C%5C%5C%5Cfrac%7BdV%7D%7Bdt%7D%3D%5Cfrac%7B1%7D%7B12%7D%5Cpi%283h%5E%7B2%7D%5Cfrac%7Bdh%7D%7Bdt%7D%29)
Applying values and solving for
we get
![\frac{dh}{dt}=\frac{12\frac{dV}{dt}}{3\pi h^{2}}\\\\\frac{dh}{dt}=0.3156ft/min](https://tex.z-dn.net/?f=%5Cfrac%7Bdh%7D%7Bdt%7D%3D%5Cfrac%7B12%5Cfrac%7BdV%7D%7Bdt%7D%7D%7B3%5Cpi%20h%5E%7B2%7D%7D%5C%5C%5C%5C%5Cfrac%7Bdh%7D%7Bdt%7D%3D0.3156ft%2Fmin)