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2 years ago

Please help!!!!!!!!!!!!

Mathematics

1 answer:

Nadusha1986 [10]2 years ago

3 0

Answer:

122.24 is the approximate answer

Step-by-step explanation:

The Logo is made up of 2 semicircles and 1 rectangle

Two semicircles make one circle

The formula for a circle is π $r^{2}$

The radius (r) is 4 because the diameter is 8

so you plug it in and get 16π

The approximate value of π is 3.14

16 times 3.14 is 50.24 $cm^{2}$

so to calculate the area of the whole logo just add $72cm^{2} +50.24cm^{2} =122.24$

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Full Question

Let X be from a geometric distribution with probability of success p.

Given that P ( X > a + b | X > a ) = q ^ { b } = P ( X > b ) for any positive integer x.

Show that for positive integers a and b, P(X > a + b | X > a) = P(X > b).

Answer:

P(X > a + b | X > a) = P(X > b)

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Step-by-step explanation:

Given

P ( X > a + b | X > a ) = q ^ { b } = P ( X > b )

From the above.

We can derive the following

P(X > a), P(X > b) and P(X > a + b)

P(X > a) = q^a

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P(X > a + b) = q^(a + b)

Using the definition of conditional probability

P(X > a + b | X > a) can be represented by P(X > a + b and X > a)/ P(X>a)

X>a+b and X>a is equivalent to X>a+b since a+b is larger than a

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Bringing both sides together, we're left with

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By substituton

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Since P(X > b) = q^b

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P(X > a + b | X > a) = P(X > b)

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Answer:

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