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SashulF [63]
3 years ago
14

Consider a tree T storing 100,000 entries. What is the worst-case height of T in the following cases?

Mathematics
1 answer:
Darina [25.2K]3 years ago
6 0

Answer:

Step-by-step explanation:

a.) The worst-case height of an AVL tree or red-black tree with 100,000 entries is 2 log 100, 000.

b.) A (2, 4) tree storing these same number of entries would have a worst-case height of log 100, 000.

c.) A red-black tree with 100,000 entries is 2 log 100, 000

d.) The worst-case height of T is 100,000.

e.)  A binary search tree storing such a set would have a worst-case height of 100,000.

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Using the 4 train car strategy for factoring polynomials, what is the green common factor for the 1st two train cars and the gre
koban [17]

The completely factored expression of 2x^2 + 4x + 3xy + 6y is (2x + 3y)(x + 2)

<h3>How to factor the polynomial?</h3>

The expression is given as:

2x^2 + 4x + 3xy + 6y

Group the expression into two

[2x^2 + 4x] + [3xy + 6y]

Factor out each group

2x(x + 2) + 3y(x + 2)

Factor out x + 2

(2x + 3y)(x + 2)

Hence, the completely factored expression of 2x^2 + 4x + 3xy + 6y is (2x + 3y)(x + 2)

Read more about factored expression at:

brainly.com/question/723406

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7 0
2 years ago
Express 1023.4567 correct to 3 significant figures​
elena-14-01-66 [18.8K]

Answer:

1020

Step-by-step explanation:

well, the first three significant figures stops at the 102, so round the 1023.4567 to a whole number which just becomes 1023

then, round the answer so you only have the 102, so you would round down since 4 or less, which 3 is less than 4, you round down, and you would get 1020

that last 0 is not a significant figure because it does not have a decimal point or any other number following after it--any 0s at the end of a number are not significant if there is no decimal point or other number after them.

4 0
3 years ago
Two hikers are 33 miles apart and walking toward each other. They meet in 5 hours. Find the rate of each hiker if one hiker walk
yuradex [85]

Answer:

slow hiker rate= 1.1mph and fast hiker rate= 5.5 mph

Step-by-step explanation:

lets consider the Speed of the slow hiker =x

Then Speed of fast hiker =x+4.4

As we know that distance is the product of speed and time

therefore,

Distance covered by slow hiker in 5 hours = 5x km

Distance covered by fast hiker in 5 hours=5 (x+4.4)=5x+22 km

As they are are 33 miles apart , therefore

5x + 5x+22 = 33

10x = 33-22

10x = 11

x =11/10 => 1.1

Rate of slow hiker is x i.e 1.1mph

Rate of fast hiker = x+4.4 => 5.5 mph

6 0
3 years ago
Read 2 more answers
Convert 198 grams to kilograms
cluponka [151]

Answer:

it's 0.198

Step-by-step explanation:


5 0
3 years ago
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The box plots show the weights in pounds of the dogs in two different animal shelters
GrogVix [38]

Answer:

between 21 and 30 pounds in shelter A between 18 and 28 pounds in shelter B

Step-by-step explanation:

One half of the dogs in each shelter points at the the upper 50% of the dog weight. This point is marked by the median value up to the maximum weight value.

The median value is the point marked inside the box on a boxplot and the maximum value is the upper end or the endpoint of the whisker.

For SHELTER A:

Median = 21

Maximum = 30

Hence, For shelter A, it is the interval between 21 and 30

For shelter B:

Median = 18

Maximum = 28

Hence, it is the interval between 18 and 28

3 0
2 years ago
Read 2 more answers
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