You can differentiate best time, worst time and average time of an algorithm like this:
Best time = fastest completion time with optimal inputs.
Worst time = slowest completion time, with pessimistic inputs.
Average time = arithmetic mean
What is Average case?The average-case complexity of an algorithm is the amount of a computational resource (typically time) used by the algorithm, averaged over all potential inputs, according to computational complexity theory. The worst-case complexity, which takes into account the algorithm's maximum complexity given all potential inputs, is frequently contrasted with it.
There are three main reasons to investigate average-case complexity. First off, while some problems may be insurmountable in the worst case, the inputs that cause this behaviour may only occasionally occur in practise, so the average-case complexity may be a better indicator of an algorithm's performance.
Second, tools and techniques to create challenging problems are provided by average-case complexity analysis. These tools and techniques can be used in fields like derandomization and cryptography.
Third, average-case complexity enables the most effective algorithm in practise to be distinguished from algorithms with equivalent best case complexity.
What is average case complexity
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The population of a town is 20,000. It decreases at a rate of 9% per year. In about how many years will the population be fewer than 13 2007
In 5 years the population will be fewer than 13000.
What is percentage ?
A percentage is a figure or ratio stated as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent symbol, "%," is frequently used to indicate it. A % is a number without dimensions and without a standard measurement.
In essence, percentages are fractions with a 100 as the denominator. We place the percent symbol (%) next to the number to indicate that the number is a percentage. Percentage, a relative value showing hundredth parts of any amount, is a relative measure that indicates how many questions on a test you correctly answered out of 100 (75/100). Since one percent (symbolized as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified percentage.
20000( 1 - 9% )^5
≈ 12481
12481 < 13000
ie 5 years
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HELP MEEEEEEEE PLEASEEEEEEEE
Answer: 75p
Step-by-step explanation:
So, if one kilogram of bacon is £1.50, then half a kilogram would cost half of that, so 75p
HELP HELP HELP HELP
Emily purchased a television that is priced at $155.75. If the sales tax rate is 4% what will be the amount of sales tax on Emily's purchase?
Answer:
$6.23
Hope this helps! :)
The difference between ( -7×-7) + -(7×7) is
A)98. B)28
C)0. D)-28
To find the difference between (-7*-7) + -(7*7), we first need to calculate the values of each expression.
(-7*-7) = 77 = 49
-(77) = -49
The difference between these two values is 49 - (-49) = 49 + 49 = 98.
Therefore, the answer is A) 98.
The Correct answer is Option (A) = 98.
We need to determine the value of each part and calculate their difference. after that.
Here, (-7*-7)= 49
and, -(7*7) = -49
Now, their difference is to be calculated as follows:
=49 - (-49)
= 49+ 49
= 98.
So, the answer is 98.
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A map is drawn using a scale of 2 cm : 75 miles. Two cities are 325 miles
apart. How far apart are the two cities on the map?
Answer:
The answer is 8.67
Step-by-step explanation:
Divide the distance by 75 since it's the actual distance of the scale factor
325/75=4.33
Multiply the answer by the scale factor
4.33×2=8.67
Please help! No links! Thanks!!
Answer: 30
Step-by-step explanation:
3 times 2 is 6 and divided by 2 is 3 and 3 times 10 is 30
john is 7 years younger than jane. the sum of their age is 10 years ago was 55 years. how old are they now
Answer: John is 29 years old and Jane is 36 years old.
Step-by-step explanation:
There are many parts to this problem, so let's start by defining John as x and Jane as y.
We know that the sum of their age 10 years ago was 55, which gives us x+y-10=55. The reason we put -10 is because of 10 years ago. If you think about it in terms of now, 10 years back is 55, so now they would be 65 years old. So we can have either x+y-10=55 or x+y=65. For simplicity, I will use x+y=65.
We also know that John is 7 years younger than Jane, which gives x=y-7.
Luckily, we have x defined for us, so we can directly substitute that into our equation.
[tex](y-7)+y=65[/tex] [combine like terms]
[tex]2y-7=65[/tex] [add both sides by 7]
[tex]2y=72[/tex] [divide both sides by 2]
[tex]y=36[/tex]
Now we know that y=36, we can plug that into either equations to find x.
[tex]x+36=65[/tex] [subtract both sides by 36]
[tex]x=29[/tex]
This concludes that John is 29 years old and Jane is 36 years old.
PLSSSSS HELP ME PLSSSSS I NEED TO EXPLAIN
A construction company plans to lean a 15ft ladder against a building from 7ft away. How far up the building will if reach?
Answer:
8 Feet
Step-by-step explanation:
15 feet subtract 7 feet is 8 feet
Please awnswer the question below
Answer:
- ANTIFRAGILE -
Anti-ti-ti-ti fragile, fragile
Anti-ti-ti-ti fragile
Anti-ti-ti-ti fragile, fragile
(Anti-fragile)
(Anti-fragile)
가시밭길 위로 riding, you made me boost up (ah-ah-ah-ah)
거짓으로 가득 찬 party 가렵지도 않아
내 뒤에 말들이 많아, 나도 첨 듣는 내 rival
모두 기도해 내 falling 그 손 위로 I'ma jump in
Yes, gimme that
걸어봐 위엄 like a lion
눈빛엔 거대한 desire (nan-na-na-eh)
더 부어 gasoline on fire
불길 속에 다시 날아 rising (nan-na-na-eh)
잊지 마, 내가 두고 온 toe shoes
무슨 말이 더 필요해?
무시 마, 내가 걸어온 커리어
I go to ride 'til I die, die
더 높이 가줄게
내가 바랐던 세계 젤 위에 (ah-ah)
떨어져도 돼
I'm anti-fragile, anti-fragile (ah-ah)
난 지금 on my way
갖다버려 줘 너의 fairy tale (ah-ah)
Now you know my name
I'm anti-fragile, anti-fragile
Anti-ti-ti-ti fragile, fragile
Anti-ti-ti-ti fragile
Anti-ti-ti-ti fragile, fragile
(Anti-fragile)
(Anti-fragile)
Lovey, lovey, lovey
Dovey, dovey, dovey
멋대로 정하네 나란 애에 대해
I don't know what to say, I can't feel it
뜨거운 관심은 환영, 귀여운 질투는 go ahead
줄 달린 인형은 no thanks 내 미랠 쓸 나의 노래
Yeah, gimme that
걸어봐 위엄 like a lion
눈빛엔 거대한 desire (nan-na-na-eh)
더 부어 gasoline on fire
불길 속에 다시 날아 rising (nan-na-na-eh)
잊지 마, 내가 두고 온 toe shoes
무슨 말이 더 필요해?
무시 마, 내가 걸어온 커리어
I go to ride 'til I die, die
더 높이 가줄게
내가 바랐던 세계 젤 위에 (ah-ah)
떨어져도 돼
I'm anti-fragile, anti-fragile (ah-ah)
난 지금 on my way
갖다버려 줘 너의 fairy tale (ah-ah)
Now you know my name
I'm anti-fragile, anti-fragile
Anti-ti-ti-ti fragile, fragile
Anti-ti-ti-ti fragile
Anti-ti-ti-ti fragile, fragile
(Anti-fragile)
(Anti-fragile)
We can break it baby
Rock it, twist it, lock it baby
All I know is you can't chain me
'Cause I'm gonna break out
Gonna, gonna break out, out
We can break it baby
Rock it, twist it, lock it baby
All I know is you can't chain me
'Cause I'm gonna break out
Gonna, gonna break out, out (whoa-uh-oh-oh!)
더 높이 가줄게
내가 바랐던 세계 젤 위에 (ah-ah)
떨어져도 돼
I'm anti-fragile, anti-fragile (ah-ah)
난 지금 on my way
갖다버려 줘 너의 fairy tale (ah-ah)
Now you know my name
I'm anti-fragile, anti-fragile
Anti-ti-ti-ti fragile, fragile
Anti-ti-ti-ti fragile
Anti-ti-ti-ti fragile, fragile
(Anti-fragile)
(Anti-fragile)
- song by Le Sserafim
- song title : anti fragile
- stan Le Ssefarim for a better life <3
xoxo
Step-by-step explanation:
A worker earned a 2% increase in her annual salary for each of 4 years. She plans to continue working in her position for an additional n years. If she continues to earn a 2% increase in her annual salary, which statement describes the expression that can be used to calculate the total percent increase in her annual salary from the first year to the last year? A The expression 1.02(4n) can be used because (1.0244)" = 1.02(An). The expression 1.02(4n) can be used because 1.024 x 1.02” = 1.02(4n). The expression 1.02(4+n) can be used because 1.024 x 1.02n = 1.02(4+n). The expression 1.02(4+n) can be used because 1.024 +1.02” = 1.02(4+n). B D
What is the perimeter?
Help plz...And No links!!I repeat No links!!
Answer:
36 units
Step-by-step explanation:
First calculate the length of side a. Using the Pythagorean Theorem, we find that 15^2 = 12^2 + x^2, or 225 - 144 = x^2. Thus, x^2 = 81 and the length of side a is √81, or 9, units.
Then the perimeter is the sum of all three side lengths:
15 + 9 + 12 = 36 units
A cross-shaped pattern is made by arranging four identical rectangles
around the sides of a square, as shown in the diagram.
The area of the square is 36 cm2.
The area of each rectangle is one and a third times the
area of the square.
Find the perimeter of the cross-shaped pattern.
Show your working and state the units of your answer.
Answer:
88 cm^2
Step-by-step explanation:
one rectangle = perimeter of 28 and times 4 equals 112 but you have to subtract 24 the perimeter of the square and get your answer
What percent of Greg’s gym attendance falls above a 90?
Answer:
100
Step-by-step explanation:
hope this helps
Pete borrowed $400 for one year. He paid back a total of $440. What was the interest rate per year?
what is the volume of this rectangular prism? (answer the picture)
Answer:
20.7 yd(rounded)
21 yd (exact)
Step-by-step explanation:
Since it goes 7 wide, do 7 x1/3 = 2.3 The 1/3rd comes from measurement given.
The length is 3 x 1/3 = 1 yd., so each level is 2.3 (repeating).
Since the height is 9, 9x2.3 = 20.7 yds (rounded)
If you want to be exact, 2.3333333333 x 9 = 21 (exact)
Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.
Step-by-step explanation:
[tex] {x}^{2} + 3x - 5 = 0[/tex]
a =1. b = 3. c = -5
Quadratic equation
[tex]x = \frac{ - b + \sqrt{ {b}^{2} - 4ac} }{2a} \\ = \frac{ - 3 \: + \sqrt{ {3}^{2} \: - 4(1)( - 5) } }{2} \\ = \frac{ - 3 \: + \: \sqrt{29} }{2} [/tex]
Note: the plus sign in the quadratic equation should read "+-"
Therefore, the roots of the quadratic equation are
[tex]\frac{ - 3 \: + \: \sqrt{29} }{2} \: \: and \: \: \frac{ - 3 \: - \: \sqrt{29} }{2} [/tex]
dentify the relationship between angles x and y
the x & y angles are alternate angles.
What is alternate angles?The alternate exterior angle theorem states that if two lines are parallel and are intersected by a transversal, then the alternate exterior angles are considered as congruent angles or angles of equal measure.
Here, we have,
from the given figure , we get,
the x & y angles are alternate angles.
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A cylindrical water tank of height 4 m is used to fill containers with dimensions 20 cm X 30 cm X 50 cm. If the tank can fill exactly 200 of these containers, find its base radius. (Take Pi = 3.14)
Answer:
0.35cm
Step-by-step explanation:
Step 1
We find the volume of the container.
The formula = Length × Width × Height
Length = 20cm
Width = 30cm
Height = 50cm
The volume of the tank = 20cm × 30cm × 50cm
= 30000 cm³
Step 2
We are told that:
The tank can fill exactly 200 of these containers
We have to find the volume that 1 cylinder will contain
Hence,
200 containers = 30000 cm³
1 container = x
Cross Multiply
200 × x = 30000cm³
x = 30000cm³/200
x = 150cm³
Step 3
We find the base radius of the cylindrical tank
Height = 4m
Convert to cm
1m = 100cm
4m = x
Cross Multiply
x = 4 × 100cm = 400cm
Volume of the cylinder = πr²h
Radius = √V/πh
Radius = √150/π × 400
Radius = 0.35 cm
Therefore, base radius = 0.35cm
ummm help ig please................
Answer:
Cost of 500 g of standard pack = € 7.50
Cost of 1 g of standard pack = 7.50/500
Cost of 100 g of standard pack = 7.50/500 ×100
= 7.50/5
= € 1.50
Hope it helps uh dear
What are examples of perfect square Trinomials?
Example of perfect square trinomial is: x² + 6x + 9 it is expressed as
(x + 3)²
What is trinomial?Trinomials are algebraic formulas that include three dissimilar terms, therefore the name "trinomial."
An algebraic expression called a trinomial contains three terms that are non-zero. Trinomial expression illustrations: The trinomial x + y + z has three variables: x, y, and z.
A trinomial is formed when three monomials are added together or subtracted from one another. A quadratic trinomial has the following form: ax² + bx + c, where a, b, and c are real, non-zero values.
Example:
x² + 6x + 9
= x² + 3x + 3x + 9
= (x +3) (x + 3)
= (x + 3)²
so, this is a perfect square trinomial.
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Use a calculator to simplify: N (-8 - 92.5) / -32
Answer:
3.14
Step-by-step explanation:
-8 - 92.5 = -100.5, and then -100.5/(-32) = 3.14
Alternatively, type in (-8 -92.5)/(-32)
4 of 7
June rolls a fair dice 234 times.
How many times would June expect to roll a one?
Answer: 39 times
Step-by-step explanation: A fair dice has 6 sides with each side having a different number between 1 and 6. Therefore, the probability of rolling a 1 is 1/6. To find out how many times June would expect to roll a 1 after rolling the dice 234 times, you must multiply 234 by 1/6 to get the answer of 39.
Which point represents the value of –(–2) on the number line?
A number line has points A, negative 3, B, blank, 0, blank, C, 3, D.
Point A
Point B
Point C
Point D
The point that is -2 on the number line is point B. Option B
What is the number line?We know that the number line can be taken as a representation of the numbers. We ought to know that the numbers that we find on the number line are the numbers that are increasing to the right as shown.
In the question that we have, the task that is before us is that we should be able to locate the point on the number line that has been labelled as -2 on this the point B non the line. This is the point that is read off as -2.
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How do you find the ordered pair?
On a Cartesian (or "coordinate") plane in which each point is represented by an ordered pair (x , y) belongs to x coordinate , y coordinate .
An ordered pair is a set of numbers in which it gives the location of a point on a coordinate plane.
The ordered pair is always expressed exactly the same way (x , y).
The first number in an ordered pair represents the x coordinate on the plane while the second number in an ordered pair represents the y coordinate.
The x-coordinate shoes that how far away the point is horizontally from the x-axis.
The y-coordinate shows that how far away the point is vertically from the x-axis.
Quadrant I: the upper-right quadrant of the plane in which all points in this quadrant have the positive x coordinates and positive y coordinates as { (+,+)} , {(+,+)}
Quadrant II: the upper-left quadrant of the plane in which all points in this quadrant have negative x coordinates and positive y coordinates
{ (+,-)}{ (+,-)}
Quadrant III: the lower-left quadrant of the plane in which all points in this quadrant have negative x coordinates and negative y coordinates
{ (-,-)}{(-,-)}
Quadrant IV: the lower-right quadrant of the plane in which all points in this quadrant have positive x coordinates and negative y coordinates
{(+,-)}{ (+,-)}
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9.
Choose the linear inequality that describes the graph. The gray area represents the shaded region.
A. 4x – y ≥ 4
B. 4x + y < 4
C. 4x + y > 4
D. 4x + y ≥ 4
Answer:
D. 4x + y ≥ 4
Step-by-step explanation:
What is the modulus of 2 - 3i?
Oi
O √√√5
O
1-√√5
O√13
The modulus of 2 - 3i is √13. So, the correct option is d.
What is modulus?Modulus is a mathematical operation used to find the remainder when dividing two numbers. This is called a percent sign (%) and is represented by a single number such as 12. Used to determine if two numbers are divisible (no remainder). You can also use the modulus to compare two numbers to see which is greater or lesser. Additionally, this module can be used to calculate the distance between two points on the coordinate plane.
It is computed by taking the square root of the sum of the squares of the real and imaginary components, so √(2^2 + (-3)^2) = √13. The modulus of a complex number, also called absolute value, is a measure of distance from the origin.
Let z = -2 - 3i
z = (-2) + (-3)i
Modulus of z = √((-2)² + (-3)²)
√(4 + 9) = √13
Modulus of z = √13
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Using the clues below, what is the value of the bigger number?
Clue 1: The sum of two numbers is ten.
Clue 2: The difference of the numbers is two.
Answer:
6
Step-by-step explanation:
Call the bigger number a, smaller b
a + b = 10
b + 2 = a
a + b + 2 = a + a = 2a = 12
a = 12 : 2
a = 6
What value of n makes the equation true? Show your work.
Answer:
n=13
Step-by-step explanation:
When multiplying two numbers with the same base, add the exponents
[tex]8^{9} *8^{4} =8^{13}[/tex]
When dividing two numbers with the same base, subtract the exponents[tex]\frac{(8^{n})^{3}}{8^{2} } =(8^{n})^{3-2}=(8^{n})^{1}=8^{n}[/tex]
So
[tex]8^{13} =8^{n}[/tex]
The bases are the same, so you can cancel them
13=n
n=13
The auditorium seated 375, but this was enough for only 30% of those who wanted a seat. How many wanted a seat but couldn't get one?
Answer: 875 people
Step-by-step explanation:
The 375 people seated represent 30% of the total number of people who wanted seats but these ones got them.
This means that the number of people who wanted seats is 70% of the number of people who wanted seats.
Assume the number of people who wanted seats is x:
30% * x = 375
x = 375 / 30%
x = 1,250 people wanted seats.
Those who wanted seats but couldn't get:
= 1,250 * 70%
= 875 people