Think of the differences between circuit-switching and packet-switching paradigms in the Internet core design. Assume an Internet Service Provider (ISP) has an access link with 500 Mbps capacity and, at any given time, only 1% of its customers are active. However, during that active period, users generate data at a constant rate of 20 Mbps. Assume that there is a total of 100 customers of this ISP.
i. What is the maximum number of users the ISP can serve if it is implementing a circuit-switching strategy?
ii. What is the probability that 1 user will be active?
iii. What is the probability that more than 1 users will be active?
iv. What is the probability that more than 2 users will be active?
v. What is the probability the ISP will not be able to serve some users (i.e., more than 25 users being active) if it is implementing a packet-switching strategy?

We cannot make a general assumption about whether the mean is greater or less than 3.5 based solely on the fact that the median is 3.5.

The mean is a measure of central tendency that represents the average value of a set of numbers. It is also called the arithmetic mean or simply the average.

We cannot make a general assumption about whether the mean is greater or less than 3.5 based solely on the fact that the median is 3.5.

The mean and the median are two different measures of central tendency, and they can have different values depending on the distribution of the data. In general, if a data set is symmetric and bell-shaped, the mean and the median are close to each other. However, if the data set is skewed, the mean and the median may be different.

For example, consider the following two data sets:

Set 1 data: 1, 2, 3, 4, and 5.

The median is 3.

The mean is (1 + 2 + 3 + 4 + 5) / 5 = 15 / 5 = 3.

Data set 2: 1, 2, 3, 4, 10

The median is 3.

The mean is (1 + 2 + 3 + 4 + 10) / 5 = 20 / 5 = 4.

In data set 1, the mean is the same as the median. In data set 2, the mean is greater than the median because the value 10 is an outlier that pulls the mean up.

Therefore, without additional information about the distribution of the data, we cannot make a general assumption about whether the mean is greater or less than 3.5 based solely on the fact that the median is 3.5.

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Answer: m=-3/2

Step-by-step explanation: Rise/Run

Rise is 3

Run is -2

So it would be -3/2

Answer:

-3/2

Step-by-step explanation:

from khan

The value of  x is 26.125°

The measures of each angle are as shown below:

∠P  = 115.625°

∠Q =21.125°

∠R=43.25°

What is an equation?

An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated.

In ∆PQR

∠P is 14 less than five times x = 5x-15

∠Q is five less than x=x-5

∠R is nine less than twice x=2x-9

Angle sum property of triangle : The sum of all angles of triangle is 180°

So,5x-15+x-5+2x-9=180

8x-29=180

8x=180+29

x=( 180+29 )/8

x=26.125

So,∠P  = 5x-15 =5(26.125)-15=115.625°

  ∠Q =x-5=26.125-5=21.125°

 ∠R=2x-9=2(26.125)-9=43.25°

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Answer:

-5

Step-by-step explanation:

hope this helps you good luck! :)

The point (-√2,1) can also be represented as (√3, 5.18) in polar coordinates.

To find the polar coordinates of the rectangular coordinates (-√2,1), we can use the following formulas:

r = √(x² + y²)

θ = tan^⁻1(y/x)

Plugging in the given values of (-√2,1), we get:

r = √((-√2)² + 1²) = √(2 + 1) = √3

θ = tan^⁻1(1/(-√2)) ≈ 2.0344 radians

Note that since the point (-√2,1) is in the second quadrant, we need to add π to the value of θ obtained from the inverse tangent in order to obtain an angle in the interval [0,2π). Thus, we have:

θ ≈ 2.0344 + π ≈ 5.1779 radians

Rounding to 2 decimal places as needed, we get the polar coordinates of (-√2,1) as (r,θ) ≈ (√3, 5.18).

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Answer:

83 akwowoow

Step-by-step explanation:

osowoeow9ekssk

Answer:

36 team I hope this help a lot

Answer:

0.6

Step-by-step explanation:

each child gets just over half a pizza

Answer:

About 4

Step-by-step explanation:

Depends how many slices each pizza is but based on the average 8 slice pizza, 8 slices each pizza 3 pizzas 8*3= 24 slices

24/5= about 4 slices per child with 4 slices left

Answer:

x=3

Step-by-step explanation:

-3 + 2 x 3 + 3 squared = 12

n= -5p - m

dis is 20 characterrs now

Answer:

School days : Total days in a year

251 : 360

Step-by-step explanation:

Answer:

ⁱ ʰᵒᵖᵉ ᵗʰⁱˢ ʷᵒᵘˡᵈ ʰᵉˡᵖ ʸᵒᵘ ᵗᵒ ᵍᵉᵗ ʳᵉᵃˡ ᵃⁿˢʷᵉʳ...

When substituting y = 11 into the equation y = 1/2(x) - 25, we find that x = 72, confirming that (23.5, 11) is a valid point of intersection.

Given that x is 23.5, it is required to prove that it is an intersection point for the equation y = 1/2(x) - 25 when y is equal to 11.

The equation is given as y = 1/2(x) - 25

When y = 11, we can substitute the value of y in the equation to obtain 11 = 1/2(x) - 25

This can be simplified as 11 + 25 = 1/2(x)36 = 1/2(x)

On solving, x = 72Thus, when y is equal to 11 and x is equal to 72, the given point of intersection is valid.

Therefore, it can be concluded that x = 23.5 is a point of intersection for the equation y = 1/2(x) - 25 when y is equal to 11.

In summary, when given an equation with two variables, we can find the point of intersection by setting one of the variables to a given value and solving for the other variable. In this case, when y is equal to 11, we can solve for x and obtain the point of intersection as (72,11).

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We are given the formula y=x. The easiest way to graph the equation of a line is simply by giving some values of x and the joining all the points. Consider the following

X Y

-2 -2

-1 -1

0 0

1 1

2 2

3 3

If we graph this points and the join them with a line, we get

Answer:

1.20

Step-by-step explanation:

120% is 120/100 and that equals 1.20 another way is to just remember that when you have a percent of a number and you need to put it in decimal form move the decimal place to the left twice.

i hope this helps!

Answer:

Step-by-step explanation:

1.2

Answer:

51 Adult tickets were sold that day.

Step-by-step explanation:

Let c = child and a = adult

c + a = 148                      5.50c + 9.00a = 992.50

Change the first equation so that it is either in the form c = or a =and then plug that number into the second equation.

I am going to change the first equation to c = by subtracting a from both sides

c = 148 - a

Now I am going to plug 148 -a for c in the second equation.

5.5(148 - a) + 9a = 992.5 Next distribute the 5.5

814 - 5.5a + 9 a = 992.5 Add the a terms together

814 + 3.5a = 992.5 Subtract 814 from both sides

3.5a = 178.5  Divide both sides by 3.5

a = 51

Answer:

A

Step-by-step explanation:

(x-4)^2 = x^2 -4x -4x + (-4)*(-4)

= x^2-8x+16 as required

Thus, the total number of employees this international company has is  79,762.

There are three typical types of percentage issues that you could encounter in personal or professional settings. Finding the percentage, the starting number, and the finishing number are a few of them.

All three can be answered by computing for the missing half of the percentage method:

Percentage = (Value / Total value) × 100

Let X be the total number of employees.

Total employees in one country = 26,800.

33.6% of X = 26800

X = 26800 / 33.6%

X  = 26800 / 0.336

X  = 79762

Thus, the total number of employees this international company has is  79,762.

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Complete question:

An international company has 26,800 employees in one country. If this represents 33.6% of the company’s employees, how many employees does it have in total?

The required function y = 7 cos (2π * 0.1 * x) and period of the function is 10 seconds, which is the time it takes for one complete cycle of the wave.

he cosine function can be used to model periodic motion, and its general form is:

y = A cos (Bx + C) + D

where A is the amplitude, B is the frequency, C is the phase shift, and D is the vertical shift.

In this case, we know that a 14 in. wave occurs every 10 s, so we can use this information to find the frequency, which is the reciprocal of the period. The period is the time it takes for one complete cycle of the wave, which in this case is 10 s.

Therefore, the frequency is:

\(f = \frac{1}{T}=\frac{1}{10} = 0.1 Hz\)

We can also see that the amplitude of the wave is 7 inches, since the wave has a height of 14 inches from its highest point to its lowest point.

Now we can write the function that models the height of the particle in inches y as it moves in seconds x:

y = 7 cos (2π * 0.1 * x)

Here, the frequency is expressed in radians per second (2π * 0.1 = 0.2π), since the cosine function takes radians as its argument. The phase shift and vertical shift are both zero in this case, since the wave starts at its highest point and has no vertical shift.

Therefore, the period of the function is 10 seconds, which is the time it takes for one complete cycle of the wave.

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Answer:

1. $34.30

2. $9.60

3. $135.30

4. $8.25

Step-by-step explanation:

Answer:

1. $14.70

2. $1.60

3. $135.30

4. $8.25

Step-by-step explanation:

1. Convert percentage to decimal:

30% = 30/100 = 0.3

So 30% of $49 = 0.3 x 49 = 14.7

Therefore, a discount of 30% = a discount of $14.70

2. Convert percentage to decimal:

20% = 20/100 = 0.2

So 20% of $8 = 0.2 x 8 = 1.6

Therefore, the 20% tip = $1.60

3. Convert percentage to decimal:

20% = 20/100 = 0.2

So 20% of $112.75 = 0.2 x 112.75 = 22.55

Therefore, total cost with the tip = 112.75 + 22.55 = $135.3

4. If a discount of 45% is applied, the new cost of the shirt will be 55% of its original price (as 100% - 45% = 55%)

Convert percentage to decimal:

55% = 55/100 = 0.55

So 55% of $15 = 0.55 x 15 = 8.25

The equation of the line that passes through the point (-1, 3) with a slope of 1 is y = x + 4.

To find the equation of a line that passes through the point (-1, 3) with a slope of 1, we can use the point-slope form of a linear equation.

The point-slope form of a linear equation is given by:

y - y1 = m(x - x1)

where (x1, y1) represents the coordinates of a point on the line, and m represents the slope of the line.

Using the given point (-1, 3) and slope 1, we substitute these values into the point-slope form equation:

y - 3 = 1(x - (-1))

Simplifying:

y - 3 = x + 1

Now, we can rewrite the equation in the standard form:

y = x + 4

Therefore, the equation of the line that passes through the point (-1, 3) with a slope of 1 is y = x + 4.

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Answer:

G(f(x))=2(3x^2-5x+13)-7

G(f(x))=6x^2-10x+26-7

G(f(x))=6x^2-10x+19 =>A

Step-by-step explanation:

Answer:

a) P [ X < 24 mm ] = 0,3015          or     P [ X < 24 mm ] =  30,15 %

b) P [ X > 32 mm ]  = 0,1251          or        P [ X > 32 mm ]  = 12,51 %

c) P [  25 < X < 30 ] = 0,4964      or     P [  25 < X < 30 ] = 49,64 %

d) z(s) = 0,84

Step-by-step explanation:

Normal Distribution    N (  μ₀  ;   σ )   is  N ( 26,5 ; 4,8 )

a) P [ X < 24 mm ] = ( X - μ₀ ) / σ

P [ X < 24 mm ] = (24 - 26,5)/ 4,8 = - 0,5208 ≈ - 0,52

P [ X < 24 mm ] = - 0,52  

And from z-table we find area for z score

P [ X < 24 mm ] = 0,3015          or     P [ X < 24 mm ] =  30,15 %

b)P [ X > 32 mm ]  =  1  - P [ X < 32 mm ]

P [ X < 32 mm ]  = ( 32 - 26,5 ) / 4,8

P [ X < 32 mm ]  = 5,5/4,8  =  1,1458 ≈ 1,15

P [ X < 32 mm ]  = 1,15

And from z-table  we get

P [ X < 32 mm ]  = 0,8749

Then:

P [ X > 32 mm ]  =  1  -  0,8749

P [ X > 32 mm ]  = 0,1251          or        P [ X > 32 mm ]  = 12,51 %

c) P [  25 < X < 30 ] = P [ X < 30 ] - P [ X < 25 ]

P [ X < 30 ]  = 30 - 26,5 / 4,8   =  0,73

From  z-table    P [ X < 30 ]  =  0,7673

P [ X < 25 ] = 25 - 26,5 / 4,8  = - 0,3125  ≈  - 0,31

From z-table  P [ X < 25 ] =  0,2709

Then

P [  25 < X < 30 ] =  0,7673 -  0,2709

P [  25 < X < 30 ] = 0,4964      or     P [  25 < X < 30 ] = 49,64 %

d) If  20 %

z- score for 20% is from z-table

z(s) = 0,84

Answer:

\(\frac{d^2y}{dx^2}=\frac{-8x^3-5y^3}{25y^5}\)

Step-by-step explanation:

Given, \(2x^3+5y^3=7\)

   \(6x^2+15y^2\frac{dy}{dx}=0\)

\(\Rightarrow \frac{dy}{dx}=\frac{-6x^2}{15y^2}=\frac{-2x^2}{5y^2}\)

Now find the second differentiation w.r.t. \(x\).

\(\frac{d^2y}{dx^2}=\frac{15y^2(-12x)-(-6x^2)(30y.\frac{dy}{dx})}{225y^4}\)

      \(=\frac{-180xy^2+180x^2y\frac{dy}{dx}}{225y^4}\)

      \(=\frac{180xy(x\frac{dy}{dx}-y)}{225y^4}\)

      \(=\frac{4(x\frac{dy}{dx}-y)}{5y^3}\quad \quad ...(i)\)

put value of  \(\frac {dy}{dx}\)  in equation \((i)\).

 \(\frac{d^2y}{dx^2}=\frac{4(x(\frac{-2x^2}{5y^2})-y}{5y^3}\)

      \(=\frac{\frac{-8x^3}{5y^2}-y}{5y^3}\)

\(\Rightarrow \frac{d^2y}{dx^2}=\frac{-8x^3-5y^3}{25y^5}\)

Hence, \(\frac{d^2y}{dx^2}=\frac{-8x^3-5y^3}{25y^5}\).

Given the equation of a line as follows:

The x-intercept is the value of x when y = 0

So, substitute with y = 0, then solve for x:

The y-intercept is the value of y when x = 0

Answer: (-2x-10y)-(-4x-3y)

-2x-10y-(-4x-3y)

-2x-10y+4x+3y

-2x+4x-10y+3y

-2x+4x-10y+3

Answer =2x-7y

Step-by-step explanation:

exponential formula:

where a and b are two constants.

Replacing with x = 0, and y = 1, we get:

Replacing with a = 1, x = 1, and y = 3, we get:

Then, the equation is:

This result can be checked with the other points of the table.

When x = 2,

When x = 3,