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Dvinal [7]
3 years ago
15

Let S(n) be the number of key comparisons done by MergeSort (Algorithm 4.5 on Page 175) when the keys are already sorted. (that

is, they are already exactly the way MergeSort will order them). Develop the recurrence relation, including boundary condition(s), for S(n). (This will be somewhat like the W(n) formula developed in the text for worst-case, but your S(n) is for the already-sorted-case.) Use the floor and ceiling operators as appropriate, and explain your reasoning.
Mathematics
1 answer:
Ludmilka [50]3 years ago
5 0

Answer:

Step-by-step explanation:

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Independent Practice
aleksklad [387]

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3 years ago
g Bonus: Assume that among the general pediatric population, 7 children out of every 1000 have DIPG (Diffuse Intrinsic Pontine G
patriot [66]

Answer:

0.9586

Step-by-step explanation:

From the information given:

7 children out of every 1000 children suffer from DIPG

A screening test designed contains 98% sensitivity & 84% specificity.

Now, from above:

The probability that the children have DIPG is:

\mathbf{P(positive) = P(positive \  |  \ DIPG) \times P(DIPG) + P(positive  \ | \  not \DIPG)\times P(not  \ DIPG)}= 0.98\imes( \dfrac{7}{1000}) + (1-0.84) \times (1 - \dfrac{7}{1000})

= (0.98 × 0.007) + 0.16( 1 - 0.007)

= 0.16574

So, the probability of not having DIPG now is:

P(not \ DIPG \  |  \ positive) = \dfrac{ P(positive  \ | \  not DIPG)\timesP(not \  DIPG)} { P(positive)}

=\dfrac{ (1-0.84)\times (1 - \dfrac{7}{1000}) }{ 0.16574}

=\dfrac{ 0.16 ( 1 - 0.007) }{0.16574}

= 0.9586

8 0
3 years ago
Find the equivalent exponential expression. (7^4)^5
Nikolay [14]
Hi!

To solve exponental equations, multiply the exponents.
4·5=20

The answer is 7^{20}

Hope this helps! :)
-Peredhel
6 0
3 years ago
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Alborosie
The answer is 42,84,126 and so on.(you keep on adding 42)
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3 years ago
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