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Igoryamba
1 year ago
10

Identify the probability to the nearest hundredth that a point chosen randomly inside the rectangle is either in the circle or i

n the square. HELP PLEASE!!

Mathematics
1 answer:
avanturin [10]1 year ago
8 0

Total area = 12 x 24.6 = 295.2

Area of circle = 3.14 x 3.6² = 40.69

Area of square = 4.2 x 4.2 = 17.64

Square and circle = 40.69 + 17.64 = 58.33

Probability = 58.33/295.2 = 0.1976

Rounded answer = 0.20

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Step-by-step explanation:

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Investigate the following harvesting model both qualitatively and analytically. If a constant number h of fish are harvested fro
zalisa [80]

Answer:

a. The population does not become extinct in finite time.

Step-by-step explanation:

The model for the population of the fishery is

dP/dt = P(a-bP)-h, P(0) = P_0

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\frac{dP}{P(7-P)-49/4} =dt\\\\-4 (\frac{dP}{4(P-7)P+49}) =dt\\\\-4 \frac{dP}{(2P-7)^2} =dt\\\\-4 \int\frac{dP}{(2P-7)^2} =\int dt\\\\-4(-\frac{1}{2(2P-7)})=t+C\\\\\frac{2}{2P-7}=t+C\\\\ t=0 \,\,\, P(0)=P_0\\\\\frac{2}{2P_0-7}=0+C\\\\C=\frac{2}{2P_0-7}

Now we can calculate if the population become 0 in any finite time

\frac{2}{2P-7}=t+\frac{2}{2P_0-7}\\\\\frac{2}{2*0-7}=t+\frac{2}{2P_0-7}\\\\-\frac{2}{7}=t+\frac{2}{2P_0-7}\\\\

To be a finite time, t>0

t=-\frac{2}{7}-\frac{2}{2P_0-7}=0\\\\-\frac{2}{2P_0-7}=\frac{2}{7}\\\\7-2P_0=7\\\\P_0=0

We can conclude that the only finite time in which P=0 is when the initial population is 0.

Because P0 is a positive constant, we can say that the population does not become extint in finite time.

5 0
2 years ago
The length of a rectangle exceeds its breadth by 9cm.Find the area of rectangle.
svp [43]
B. I hope this helps.
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1 year ago
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