Answer:
Opposite sides are equal in length and opposite angles are equal in measure. To find the area of a parallelogram, multiply the base by the height. The formula is: A = B * H where B is the base, H is the height, and * means multiply.
Step-by-step explanation:
We are given with the following given
dV/dt = 35 m3/min
h = (3/2)D
What is asked is
dr/dt at t = 7 min
The volume of a cone is
V = (1/3)πr²h
From the given
h = (3/2)D
since D = 2r
h = 3r
Subsituting
V = πr³
At t = 7 min, the volume is
V = 35(7)
V = 245
and the radius is
245 = πr³
r = 4.27
Differentiating the volume
dV/dt = 3πr² dr/dt
From the given
dV/dt = 35
Subsituting
35 = 3πr² dr/dt
So,
dr/dt = 0.20 m/s
and
dh/dt = 0.60 m/s
Answer:
summation
Step-by-step explanation:
This symbol is the summation symbol
It means to sum what comes after it
X=2 is the answer hope it helps
Answer:
The probability that the demand will exceed 190 cfs during the early afternoon on a randomly selected day is
Step-by-step explanation:
Let Y be the water demand in the early afternoon.
If the random variable Y has density function f (y) and a < b, then the probability that Y falls in the interval [a, b] is
A random variable Y is said to have an exponential distribution with parameter if and only if the density function of Y is
If Y is an exponential random variable with parameter β, then
mean = β
To find the probability that the demand will exceed 190 cfs during the early afternoon on a randomly selected day, you must:
We are given the mean = β = 100 cubic feet per second
Compute the indefinite integral
Compute the boundaries
The probability that the demand will exceed 190 cfs during the early afternoon on a randomly selected day is