Step-by-step explanation:
since Poisson distribution parameter is not given so we have to estimate it from the sample data. The average number of of arrivals per minute at an ATM is

So probabaility for
is

So expected frequency for
is
(or
.
The rate at which the water from the container is being drained is 24 inches per second.
Given radius of right circular cone 4 inches .height being 5 inches, height of water is 2 inches and rate at which surface area is falling is 2 inches per second.
Looking at the image we can use similar triangle propert to derive the relationship:
r/R=h/H
where dh/dt=2.
Thus r/5=2/5
r=2 inches
Now from r/R=h/H
we have to write with initial values of cone and differentiate:
r/5=h/5
5r=5h
differentiating with respect to t
5 dr/dt=5 dh/dt
dh/dt is given as 2
5 dr/dt=5*-2
dr/dt=-2
Volume of cone is 1/3 π
We can find the rate at which the water is to be drained by using partial differentiation on the volume equation.
Thus
dv/dt=1/3 π(2rh*dr/dt)+(
*dh/dt)
Putting the values which are given and calculated we get
dv/dt=1/3π(2*2*2*2)+(4*2)
=1/3*3.14*(16+8)
=3.14*24/3.14
=24 inches per second
Hence the rate at which the water is drained from the container is 24 inches per second.
Learn more about differentaiation at brainly.com/question/954654
#SPJ4
Answer:
B.) -7/1
Step-by-step explanation:
Finding the slope we use: y2 - y1/x2 - x1
m = -1 - 6/-3 - (-4)
m = -7/-3 + 4
m = -7/1
Answer:
y=x+2
Step-by-step explanation:
1) Solve for m using the equation m=y2-y1/x2-x1 by plugging in any 2 coordinates from the table
2) After getting m, which is 1, you can solve for b by plugging in another coordinate. For example,the coordinate (1,3): 3=(1)1+b
3) You then solve for b, which is 2
Answer: y=x+2
Answer:
don't know but you try
Step-by-step explanation: