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andreev551 [17]
1 year ago
9

Take the following list of functions and arrange them in ascending order of growth rate. That is, if function g(n) immediately f

ollows function f(n) in your list, then it should be the case that f(n) is O(g(n)). g1(n) = 2√log n g2(n) = 2n g4(n) = n4/3 g3(n) = n(log n)3 g5(n) = n logn g6(n) = 2^(2^n ) g7(n) = 2^(n^2 )
Mathematics
1 answer:
zepelin [54]1 year ago
4 0

Answer:

Step-by-step explanation:

From order of growth rate ; Constant < Logarithmic < Polynomial < Exponential

Hence in ascending order ; n (log n)³ < n^4/3 < n^log n < 2√^(logn) < 2n < 2n² < 2^2n

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A store gets a bucket of eggs for $16.20 and sells a dozen eggs for $3.50. If there are 450 eggs in the bucket, by what percent
Jet001 [13]
Price of a bucket of eggs $16.20
price for a dozen of eggs $3.50
number of dozens in 450 eggs:
450/12
=37.5
price of 37.5 will be:
37.5×3.50=$131.25
The percentage the store has increased the price will be:
(131.25-16.20)/16.20×100
=710%

6 0
2 years ago
Read 2 more answers
A house has a large window made of 15 equal-sized pieces of glass, each the same size and shape. There are 3 pieces of glass tha
melamori03 [73]
<span>The chance or probability that the lawn mower will hit a piece of glass that is already cracked is calculated by dividing the number of glasses that are cracked by the total number of glasses. In this item, the unknown can be calculated by 3/15. The answer is therefore, 1/5 or 0.20. </span>
6 0
1 year ago
As part of a community service project at your high school, you are organizing a fund-raiser at the neighborhood movie theater.
Artist 52 [7]
The answer is
A.
Independent variable - number of persons attending (or number of tickets sold);
<span>Dependent variable - the amount donated

Because, the number of persons attending is independent. No one knows how many people are attending. But the amount donated is depended upon the number of people attending.
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6 0
2 years ago
According to Net Market Share, Microsoft's Internet Explorer browser has 53.4% of the global market. A random sample of 70 users
Natalija [7]

Answer:

Probability that 32 or more from this sample used Internet Explorer as their browser is 0.9015.

Step-by-step explanation:

We are given that according to Net Market Share, Microsoft's Internet Explorer browser has 53.4% of the global market.

A random sample of 70 users was selected.

Let \hat p = <u><em>sample proportion of users who used Internet Explorer as their browser.</em></u>

The z score probability distribution for sample proportion is given by;

                            Z  =  \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, p = population proportion of users who use internet explorer = 53.4%

           \hat p = sample proportion = \frac{32}{70} = 0.457

           n = sample of users = 70

Now, probability that 32 or more from this sample used Internet Explorer as their browser is given by = P( \hat p \geq 0.457)

      P( \hat p \geq 0.457) = P( \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } } \geq \frac{0.457-0.534}{\sqrt{\frac{0.457(1-0.457)}{70} } } ) = P(Z \geq -1.29)

                            = P(Z \leq 1.29) = <u>0.9015</u>

The above probability is calculated by looking at the value of x = 1.29 in the z table which has an area of 0.9015.

4 0
2 years ago
Devon exercised the same amount of time each day for 5 days last week. e His exercise included walking and swimming. e Each day
prohojiy [21]
I think that Devon swam at least 35 minutes each day for 5 days because if he exercised 225 minutes and each day he walked for 10 minutes then if you divide 225 by 5 you get 45 so every day he exercised 45 minutes and since he walked for 10 minutes you subtract 10 from 45 which gives you 35 so he swam for 35 minutes.
8 0
2 years ago
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