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katen-ka-za [31]
2 years ago
15

Find the radius of the button. radius: __ in.

Mathematics
1 answer:
Marat540 [252]2 years ago
8 0

Answer:

1 3/4 in

Step-by-step explanation:

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Identify the number that is 9.5 units from 2 on a number line
dusya [7]

There are two such numbers.

One of them is 2 + 9.5 = 11.5.

The other one is 2 - 9.5 = -7.5.

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If we consider "9.5 units from 2" to be 9.5 units in the positive direction, then the appropriate choice is 11.5.

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3 years ago
Which types of polygons are the faces of a octahedron?
Darina [25.2K]

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Each face of an octahedron is an equilateral triangle. An octahedron is a three-dimensional solid (polyhedron) that has eight faces.

Step-by-step explanation:

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3 years ago
The number and frequency of Atlantic hurricanes annually from 1940 through 2007 is shown here:
klio [65]

Answer:

The probability table is shown below.

A Poisson distribution can be used to approximate the model of the number of hurricanes each season.

Step-by-step explanation:

(a)

The formula to compute the probability of an event <em>E</em> is:

P(E)=\frac{Favorable\ no.\ of\ frequencies}{Total\ NO.\ of\ frequencies}

Use this formula to compute the probabilities of 0 - 8 hurricanes each season.

The table for the probabilities is shown below.

(b)

Compute the mean number of hurricanes per season as follows:

E(X)=\frac{\sum x f_{x}}{\sum f_{x}}=\frac{176}{68}=  2.5882\approx2.59

If the variable <em>X</em> follows a Poisson distribution with parameter <em>λ</em> = 7.56 then the probability function is:

P(X=x)=\frac{e^{-2.59}(2.59)^{x}}{x!} ;\ x=0, 1, 2,...

Compute the probability of <em>X</em> = 0 as follows:

P(X=0)=\frac{e^{-2.59}(2.59)^{0}}{0!} =\frac{0.075\times1}{1}=0.075

Compute the probability of <em>X</em> = 1 as follows:

\neq P(X=1)=\frac{e^{-2.59}(2.59)^{1}}{1!} =\frac{0.075\times7.56}{1}=0.1943

Compute the probabilities for the rest of the values of <em>X</em> in the similar way.

The probabilities are shown in the table.

On comparing the two probability tables, it can be seen that the Poisson distribution can be used to approximate the distribution of the number of hurricanes each season. This is because for every value of <em>X</em> the Poisson probability is approximately equal to the empirical probability.

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3 years ago
What is the next number in the pattern?2,7,26,101,400
Nezavi [6.7K]

Answer:

The answer for the number after 400 is <u>1595</u><u>.</u>

Step-by-step explanation:

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What is the surface area of the figure below
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