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Gala2k [10]
3 years ago
13

Find the probability that a randomly generated bit string of length 10 does not contain a 0 if bits are independent and if a 0 b

it and a 1 bit are equally likely.
Mathematics
1 answer:
jeka943 years ago
4 0

Answer:

Step-by-step explanation:

From the given information; Let's assume that  R should represent the set of all possible outcomes generated from  a bit string of length 10 .

So; as each place is fitted with either 0 or 1

\mathbf{|R|= 2^{10}}

Similarly; the event E signifies the randomly generated bit string of length 10 does not contain a 0

Now;

if  a 0 bit and a 1 bit are equally likely

The probability that a randomly generated bit string of length 10 does not contain a 0 if bits are independent and if a 0 bit and a 1 bit are equally likely is;

\mathbf{P(E) = \dfrac{|E|}{|R|}}

so ; if bits string should not contain a 0 and all other places should be occupied by 1; Then:

\mathbf{{|E|}=1 }   ; \mathbf{|R|= 2^{10}}

\mathbf{P(E) = \dfrac{1}{2^{10}}}

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Side 1: x
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If the perimeter is 64 feet, then all of the sides have to add up to it. Therefore, first we add all of the side lengths up:

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Now we put 4x, the amount of all these sides added up, equal to the perimeter of 64.

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Now that we know x is 16, we will substitute it in for all the side lengths’ equations.

We know that Side 1 was just x, so that will be 16. Since Side 2 was 4 more than x, we’d do 16 + 4 = 20. We substitute 16 in for x in Side 3’s equation: 2(16) - 4 = 32 - 4 = 28.

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5 0
3 years ago
In this assignment, you will explore how the volume is changed when you adjust the height or radius of a cylinder. You will drag
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The volume of a cylinder changes when you adjust the height or radius as the volume either increases or reduces.

<h3>How to illustrate the volume?</h3>

Let's assume that the height and radius are 14cm and 7cm. The volume will be:

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= 3.14 × 7² × 14

= 2154.04cm³

When the radius and height are reduced to 5cm and 9cm, the volume will be:

= πr²h

= 3.14 × 5² × 9

= 706.5cm³

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2 years ago
Helooooo?!!!!! 30 whole points
pentagon [3]

Answer:

I believe C, or the answer you have chosen, is correct.

Step-by-step explanation:

In this question, we add like, AKA similar, terms.

There is nothing to match x^2, so we leave it alone and put it at the head of equation since it has the highest power:

x^2

There is nothing to match -x, so we also leave it alone and put it next to x^2, keeping its sign:

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We can add 1 and 5 to get 6, so we put 6 next to the -x to get our final equation:

x^2 - x + 6.

See how easy that was? :) Hope this helps you and you get a good grade on your test!!

Please rate my answer and give me Brainliest!!!!

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3 years ago
Jenny has already taken 23 quizzes during past quarters and she expects to have 1 quiz during each week of this quarter each of
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8 0
3 years ago
Sofia takes 10mg of a medicine whose concentration in blood decreases by a factor of one half every day. Let t be the number of
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Answer:  Medication in Lexi's system on day t becomes,

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Step-by-step explanation:

Since we have given that

Initial amount Sofia takes of a medicine = 10 mg

Concentration in blood decreases by a factor of one half every day.

So, it becomes,

S=10(\frac{1}{2})^t\\\\here,\text{ t denotes number of days}

According to question, four days later, it becomes,

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We have given that Lexi takes 10 mg of the same medicine.

So, it becomes,

10+0.625\\\\10.625\ mg

Hence, Medication in Lexi's system on day t becomes,

L=10.625(\frac{1}{2})^{t-4}

3 0
3 years ago
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