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SOVA2 [1]
3 years ago
8

Calculate the net death rate for the year based on the following statistics: 15,567 discharges with 245 deaths (75 deaths occurr

ing under 48 hours). Eight of the 245 deaths were medical examiner's cases.
Mathematics
1 answer:
nata0808 [166]3 years ago
5 0

Answer:

13665.6 deaths per year

Step-by-step explanation:

We can determine certain statistics based on the information. If 15567 patients where discharge and 245 deaths were recorded, the total number of patients were:

=15567+245=15812

If 75 deaths occured in the first 48 hours we have a death rate of:

=75/48=1.56

1.56 deaths per hour.

We want the death rate per year. If we have the death rate per hour we can determine the death rate per year:

[tex]1.56\cdot{24}\cdot{365}=13665.6[tex]

13665.6 deaths per year

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(-3, 3).

Step-by-step explanation:

4x^2-36= 0

4x^2 = 36    Taking square roots of both sides:

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A common inhabitant of human intestines is the bacterium Escherichia coli. A cell of this bacterium in a nutrient-broth medium d
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Answer:

a) k=2.08 1/hour

b) The exponential growth model can be written as:

P(t)=Ce^{kt}

c) 977,435,644 cells

d) 2.033 billions cells per hour.

e) 2.81 hours.

Step-by-step explanation:

We have a model of exponential growth.

We know that the population duplicates every 20 minutes (t=0.33).

The initial population is P(t=0)=58.

The exponential growth model can be written as:

P(t)=Ce^{kt}

For t=0, we have:

P(0)=Ce^0=C=58

If we use the duplication time, we have:

P(t+0.33)=2P(t)\\\\58e^{k(t+0.33)}=2\cdot58e^{kt}\\\\e^{0.33k}=2\\\\0.33k=ln(2)\\\\k=ln(2)/0.33=2.08

Then, we have the model as:

P(t)=58e^{2.08t}

The relative growth rate (RGR) is defined, if P is the population and t the time, as:

RGR=\dfrac{1}{P}\dfrac{dP}{dt}=k

In this case, the RGR is k=2.08 1/h.

After 8 hours, we will have:

P(8)=58e^{2.08\cdot8}=58e^{16.64}=58\cdot 16,852,338= 977,435,644

The rate of growth can be calculated as dP/dt and is:

dP/dt=58[2.08\cdot e^{2.08t}]=120.64e^2.08t=2.08P(t)

For t=8, the rate of growth is:

dP/dt(8)=2.08P(8)=2.08\cdot 977,435,644 = 2,033,066,140

(2.033 billions cells per hour).

We can calculate when the population will reach 20,000 cells as:

P(t)=20,000\\\\58e^{2.08t}=20,000\\\\e^{2.08t}=20,000/58\approx344.827\\\\2.08t=ln(344.827)\approx5.843\\\\t=5.843/2.08\approx2.81

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3 years ago
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Answer:

0.0000143

Step-by-step explanation:

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