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mihalych1998 [28]
3 years ago
9

This shape is made using three semicircles The smaller semicircle have diameters of 10cm Calculate the shaded area Take 3.142 an

d write down all the digits given be the calculator
Mathematics
1 answer:
CaHeK987 [17]3 years ago
6 0

Answer:

The shaded area is 314.2 cm²

Step-by-step explanation:

Here we have the diameter, d₁ of the smaller semicircles as 10 cm

We note that the larger semicircle is subtended (bounded) by the two smaller semicircles;

1 shaded small semicircle and the other is blank

Therefore, the diameter, d₂ of the large semicircle = 10 + 10 = 20 cm

Also the area of the shaded figure consists of the removal of one small semicircle and the addition of the other semicircle to the area of the larger semicircle such that the area of the shaded figure is as follows

Shaded area of figure = π·d₂²/4 + π·d₁²/4 - π·d₁²/4 = π·d₂²/4 = π×20²/4 = 100×3.142 = 314.2 cm²

Shaded area = 314.2 cm².

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The measured weights of 1,000 men in a certain village follow a normal distribution with a mean of 150 pounds and a standard dev
Hitman42 [59]
Z = (X-Mean)/SD 
<span>z1 = (165 - 150)/15 = +1 </span>
<span>z2 = (135 - 150)/15 = - 1 </span>
<span>According to the Empirical Rule 68-95-99.7 </span>
<span>Mean +/- 1SD covers 68% of the values </span>
<span>100% - 68% = 32% </span>
<span>The remaining 32% is equally distributed below z = - 1 and z = +1 </span>
<span>32%/2 = 16% 
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<span>Therefore, 
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<span>a) Number of men weighing more than 165 pounds = 16% of 1000 = 160 </span>
<span>b) Number of men weighing less than 135 pounds = 16% of 1000 = 160</span>
3 0
3 years ago
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To find the sum of 4 and -5.
Katen [24]

Answer:

-1

Step-by-step explanation:

-5 + 4 = 1

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Help me this is really hard
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Sarah was driving at 50 mph ( miles per hour) and went a distance of 100 miles. How long did it take Sarah to drive that distanc
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4 0
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For the system below identify the parameters as growth rates, carrying capacities, and measure of interactions between species.
babunello [35]

Answer:

  • 2 and 3 are the the growth rates parameter for x and y respectively
  • 16 and 20 are the carrying capacities for x and y respectively
  • 2 and 7 measures the benefit to x and y of the interaction of the two species.

The species compete each other.

Step-by-step explanation:

When we have a population model for two species as we have here, the differential equations looks like this:

\frac{dx}{dt}=a*x+b\frac{x^{2}}{N}+c*xy

\frac{dy}{dt}=d*x+e\frac{y^{2}}{M}+f*xy)

Here:

a and d are the the growth rates parameter for x and y respectively

N and M are the carrying capacities for x and y respectively

c and f measures the benefit to x and y of the interaction of the two species.

So in our case we have:

\frac{dx}{dt}=2*x+\frac{x^{2}}{16}+2*xy

\frac{dy}{dt}=3*x-\frac{x^{2}}{20}-7*xy

Therefore:

  • 2 and 3 are the the growth rates parameter for x and y respectively
  • 16 and 20 are the carrying capacities for x and y respectively
  • 2 and 7 measures the benefit to x and y of the interaction of the two species.

The term xy determine the if the species are cooperating of competing, so in this case have negative xy term in the second equation, it means the presence of either species decreases the rate of change of the other, so the species compete each other.

I hope it helps you!

3 0
3 years ago
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