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yan [13]
3 years ago
5

g Which one of the following best describes an advantage of using a Poisson distribution (Model 1) over the distribution in Mode

l 2 to model X? It allows us to model the data continuously. It allows individuals to have an arbitrarily large number of siblings. It reduces the amount of unknowns needed for modeling.
Mathematics
1 answer:
laila [671]3 years ago
8 0

Answer:

It reduces the amount of unknowns needed for modeling.

Step-by-step explanation:

Let's first look at the characteristics of poisson distribution.

The Poisson distribution has the following characteristics:

1. It is a discrete distribution.

2. The occurrences in each interval can range from zero to infinity.

3. Each occurrence is very independent of the other occurrences.

4. It helps describes discrete occurrences over an interval.

5. It reduces the amount of constant and unknown needed for modeling an equation.

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Use the Fundamental Theorem of Calculus to find the area of the region between the graph of the function x5 + 8x4 + 2x2 + 5x + 1
belka [17]

Answer:

The area of the region between the graph of the given function and the x-axis = 25,351 units²

Step-by-step explanation:

Given  x⁵ + 8 x⁴ + 2 x² + 5 x + 15

If 'f' is a continuous on [a ,b] then the function

            F(x) = \int\limits^a_b {f(x)} \, dx

By using integration formula

\int{x^n} \, dx = \frac{x^{n+1} }{n+1} +c

Given  x⁵ + 8 x⁴ + 2 x² + 5 x + 15 in the interval [-6,6]

 \int\limits^6_^-6} (x^{5}  + 8 x^{4}  + 2 x^{2}  + 5 x + 15) )dx

<em>On integration , we get</em>

=   (\frac{x^{6} }{6} + \frac{8 x^{5} }{5} + 2 \frac{x^{3} }{3} +\frac{5 x^{2} }{2} + 15 x)^{6} _{-6}

F(x) = \int\limits^a_b {f(x)} \, dx = F(b) -F(a)

= (\frac{6^{6} }{6} + \frac{8 6^{5} }{5} + 2 \frac{6^{3} }{3} +\frac{5 6^{2} }{2} + 15X 6) - ((\frac{(-6)^{6} }{6} + \frac{8 (-6)^{5} }{5} + 2 \frac{(-6)^{3} }{3} +\frac{5 (-6)^{2} }{2} + 15 (-6))

After simplification and cancellation we get

 =  \frac{2 X 8 X (6)^{5} }{5} + \frac{2 X 2 X (6)^3}{3} + 2 X 15 X 6

on calculation , we get

= \frac{124,416}{5} + \frac{864}{3} + 180

On L.C.M  15

= \frac{124,416 X 3 + 864 X 5 + 180 X 15}{15}

= 25 351.2 units²

<u><em>Conclusion</em></u>:-

<em>The area of the region between the graph of the given function and the x-axis = 25,351 units²</em>

6 0
3 years ago
A sphere has a volume of 36tt in3 find the radius of the sphere​
Vsevolod [243]
V=4/3 π •r^3 multiply both sides with 3
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3 years ago
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No because 3 can go into 63 evenly and the denominator would be left the same.
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V125BC [204]

Answer:

2 (a) d=3

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What is mathematical science​
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