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Fantom [35]
3 years ago
10

Cylinder A has a volume of 100 cm and cylinder B has a height that two fifths of the height of cylinder A

Mathematics
1 answer:
Ivahew [28]3 years ago
6 0

You need more input here what even is the question

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A fair coin is tossed repeatedly with results Y0, Y1, Y2, . . . that are 0 or 1 with probability 1/2 each. For n ≥ 1 let Xn = Yn
Gekata [30.6K]

Answer:

False. See te explanation an counter example below.

Step-by-step explanation:

For this case we need to find:

P(X_{n+1} = | X_n =i, X_{n-1}=i') =P(X_{n+1}=j |X_n =i) for all i,i',j and for X_n in the Markov Chain assumed. If we proof this then we have a Markov Chain

For example if we assume that j=2, i=1, i'=0 then we have this:

P(X_{n+1} = | X_n =i, X_{n-1}=i') =\frac{1}{2}

Because we can only have j=2, i=1, i'=0 if we have this:

Y_{n+1}=1 , Y_n= 1, Y_{n-1}=0, Y_{n-2}=0, from definition given X_n = Y_n + Y_{n-1}

With i=1, i'=0 we have that Y_n =1 , Y_{n-1}=0, Y_{n-2}=0

So based on these conditions Y_{n+1} would be 1 with probability 1/2 from the definition.

If we find a counter example when the probability is not satisfied we can proof that we don't have a Markov Chain.

Let's assume that j=2, i=1, i'=2 for this case in order to satisfy the definition then Y_n =0, Y_{n-1}=1, Y_{n-2}=1

But on this case that means X_{n+1}\neq 2 and on this case the probability P(X_{n+1}=j| X_n =i, X_{n-1}=i')= 0, so we have a counter example and we have that:

P(X_{n+1} =j| X_n =i, X_{n-1}=i') \neq P(X_{n+1} =j | X_n =i) for all i,i', j so then we can conclude that we don't have a Markov chain for this case.

6 0
3 years ago
Find the circumference and area of a circle with diameter 2 ft
iren2701 [21]

Answer:

C = 6.28

A = 3.14

Step-by-step explanation:

use the equations for area and circumference to solve

C = pi d

A = pi r^2

I like to remember these using the saying Cherry pie's delicious, Apple pie's are too so Cherry = pi's delicious, Apple = pi's r 2

so with the diameter of 2 plug in to get circumference

C = 3.14 (2)

C = 6.28

and the equation for area uses radius not diameter but we know that d/2=r so radius is 1, plug in to solve

A = 3.14 (1)^2

A = 3.14 (1)

A = 3.14

Hope this helps! :)

6 0
2 years ago
in a certain country license plates consist of zero or one digit followed by four or five uppercase letters from the roman alpha
algol13

118,813,760 different combination license plates can the country produce

<h3 /><h3>permutations and combinations:</h3>

permutations and combinations, the various ways in which objects from a set may be selected, generally without replacement, to form subsets. This selection of subsets is called a permutation when the order of selection is a factor, a combination when order is not a factor. By considering the ratio of the number of desired subsets to the number of all possible subsets for many games of chance in the 17th century, the French mathematicians Blaise Pascal and Pierre de Fermat gave impetus to the development of combinatorics and probability theory.

given that

in a certain country license plates consist of zero or one digit followed by four or five uppercase letters from the roman alphabet

X = 10 × 26 × 26 × 26 × 26 × 26

  = 10 × 11881376

  = 118,813,760

118,813,760 different combinations license plates can the country produce

To learn more about combinations:

brainly.com/question/19692242

#SPJ4

3 0
9 months ago
What is 1/2 • 2 - 1 =
ozzi

Answer:

0

Step-by-step explanation:

1/2 * 2 is 1. 1 - 1 is 0

Have a great day/night!

8 0
3 years ago
Read 2 more answers
Solve. State the Inverse operation you used. 1. k X 4 = 96 | 2. b = 12 = 12 | 3. 9X n = 5.4 | 4. y X 16 = 48 | 6. 3.9 x m= 19.5
ivolga24 [154]

Answer:

hmu on sn*p and I got u kevinscoolrevi7

5 0
3 years ago
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