Answer:
0.027 cubic ft/min
Explanation:
Volume of water is V=V(t) Depth of water is h=h(t)
The relationship between V and h is
V=π/3.r2.h
Let
h0= the height of the cylinder = 24ft, r0= the radius of the opening = 10ft.
Since water level (h) rise with respect to flow rate we find an expression for r and substitute into V
r/h = r0/h0= 10/24 = 5/12
r = (5/12) h,
Substitute for r in V
so,
V=1/3.π.(h2)square = 1/3.π. 25/144.(h3)
When
h= 16ft
and dV/dt = 20ft3/min
,
dV/dt =1/3*π*25/144*h3*(dh/dt)
20ft3/min= 1/3*π* 25/144*h3*(dh/dt)
20 = 1/3*π*(16)3.(dh/dt)
Make dh/DT subject of formula
dh/dt=(20*3*144)/(25*π*4096) = 8640/321740.8
=
dh/dt= 0.027 ft3/min
I think it's B 34 so it's not c or a :3
Answer:
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Explanation:
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The probability that the proportion of patients who wait less than 30 minutes is 0.582 or less is 0.0020
<h3>What is probability? </h3>
Probability can be defined as the likelihood of an event to occur. In statistics, the mean of the sample distribution typically shows the probability of the population.
From the parameters given:
- The sample size (n) = 55 patients
- Let's assume that the mean (x) = 32 (i.e. 58.2%) of the patients
The sample proportion 
can be computed by using the expression:
If the percentage of the probability of all patients in the emergency room = 0.75
The probability that the proportion of patients who wait less than 30 minutes is 0.582 or less can be computed as:
From the Z distribution table:
Learn more about probability here:
brainly.com/question/24756209
