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Hitman42 [59]
3 years ago
12

"We keep tossing a fair coin n = 10^6 million times, write down the outcomes: it gives a Heads-and-Tails-sequence of length n. W

e call an integer i special, if the i, i + 1, i + 2, i + 3, . . . , i + 18-th elements of the sequence are all Heads. That is, we have a block of 19 consecutive Heads starting with the i-th element of the sequence. Let X denote the number of special integers i. What is the expected value of X? I also want the numerical value. 5. We rand

Mathematics
1 answer:
anyanavicka [17]3 years ago
4 0

Answer:

Check the explanation

Step-by-step explanation:

Let X_{i} be the indicator random variable that takes the value 1 if the ith coin is the first coin in a sequence of 19 consecutive heads.

For any sequence of length 19, the starting coin can be from toss i ,

such that i is between 1 and n - 19+1

Thus the number of such sequences is

Kindly check the attached image below for the step by step explanation to the question above.

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Cylinder A has a radius of 10 inches and a height of 5 inches. Cylinder B has a volume of 750π. What is the percentage change in
Firlakuza [10]

Answer:

50% change in volume

Step-by-step explanation:

<h2>This problem bothers on the mensuration of solid shapes.</h2>

In this problem we are to find the volume of the first  cylinder and compare with the second cylinder.

Given data

Volume v =  ?

Diameter d= ?

Radius r =  10 in

Height h=  5 in

we know that the volume of a cylinder is expressed as

volume = \pi r^{2}h

Substituting our given data we have

volume = \pi*10^{2}*5\\ volume= \pi *100*5\\volume= 500\pi in^{3} \\

The first cylinder as a volume of 500\pi

The change in volume is 750\pi - 500\pi = 250\pi

percentage = \frac{250\pi }{500\pi } *100

percentage=0.5*100= 50%

6 0
3 years ago
Read 2 more answers
Which of the following value are in the domain of the function graphed below?
Oduvanchick [21]

Answer:

look at the domain, where the line is on the x-axis

Step-by-step explanation:

4 0
3 years ago
<img src="https://tex.z-dn.net/?f=%5Csqrt%2018-%20%5Csqrt%202" id="TexFormula1" title="\sqrt 18- \sqrt 2" alt="\sqrt 18- \sqrt 2
zimovet [89]
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4 0
2 years ago
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Add 4 kg 250 g, 2 kg 90 g and 19kg 3 g.
GarryVolchara [31]

Answer:

=25343 grams or 25 kg 343 g.

Step-by-step explanation:

1 kg = 1000 g

∴ 4 kg = 4000 grams

and the 4 kg 250 g would equal = 4250 grams.

∴ 2 kg = 1000 g

2 kg 90 g = 2000 grams + 90 g = 2090 grams

∴ 19 kg = 19000 grams

and 19 kg 3 grams = 19000 grams + 3 grams = 19003 grams

now we will add all of the values together to get the final answer.

4250 grams + 2090 grams + 19003 grams = 25343 grams or 25 kg 343 g.

Hope this helps!!

8 0
3 years ago
Write 5x^4 +2x^2 -8 in quadratic form
Darya [45]
Ok i can help you solve this problem do you know the formula for quadratic equations 

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3 years ago
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