Can you help me here pls? Asap

In an M/G/1 system, the average time a unit spends in the system (W) can be calculated using the following formula:

W = (1/μ - λ) + (λ * σ^2) / (2 * (1 - λ/μ))

Plugging in the given values:

W = (1/35 - 20) + (20 * 0.005^2) / (2 * (1 - 20/35))
W = (1/15) + (20 * 0.000025) / (2 * 15/35)
W = (1/15) + 0.0005 / (2 * 3/7)
W = (1/15) + 0.0005 / (6/7)
W = (7/105) + 0.0005 / (6/7)
W = (7/105) + (0.0005 * 7) / 6
W = (7/105) + 0.00058333
W = 0.06666667 + 0.00058333
W = 0.0482

The correct answer to the given problem is option C. $W = 0.0482$.Solution:M/G/1 is a queuing system consisting of M (Markovian) arrival of customers, G (General) distribution of service time, and a single server.The given data are:λ = 20, μ = 35, and σ = 0.005.So, ρ = λ / μ = 20 / 35 = 0.57, which is the utilization factor. Since 0 ≤ ρ ≤ 1, the system is stable.For M/G/1 queuing system,$$\begin{aligned}&\text { Mean number of customers }=\frac{\rho}{1-\rho}=\frac{0.57}{1-0.57}=1.33\\&\text { Mean waiting time }= \frac{\text { Mean number of customers }}{\lambda} = \frac{1.33}{20}=0.0667 \\&\text { Mean time in system }=\frac{1}{\mu-\lambda}=\frac{1}{35-20}=0.05 \\&\text { Mean time in queue }=\text { Mean time in system }-\text { Mean service time }\\&=0.05-\frac{1}{\mu}=0.05-\frac{1}{35}=0.0207\\&\text{Coefficient of Variation} =\frac{\sigma}{\mu}=\frac{0.005}{35}=0.00014\\&\text{Var}(T)=\frac{\text{CV}^2}{2}\cdot \mu \cdot W+\frac{\text{CV}}{\rho}\cdot W-\frac{1}{\mu^2}\\&\text{Mean time spent in the system }=W=\frac{\text{Var}(T)}{\text{Mean}(T)}=\frac{0.000021}{0.0204}=0.0010294\\&\text{Average time a unit spends in the system }=W+ \frac{1}{\mu} = 0.0010294 + \frac{1}{35} = 0.0482. \end{aligned}$$Thus, the average time a unit spends in the system is W = 0.0482.
C. W = 0.0482.

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Answer: Never(!) [assuming I understand/interpret the question properly]

Step-by-step explanation: The question wants to know how many months it will take for your neighbor's total cost be the same as yours, with three televisions. One has to interpret "total cost." I deem it to be the total accumulated costs, including installation. If you interpret it as the cost per month, then they charges are the same after the month the installation cast was paid. That's because the satellite provider charges per television, and 3*(13.32) is equal to the same 39.96/month charged by the cable provider. It the questions means total cumulative costs, the satellite customer will never exceed the cable customer's total bill, because of the installation fee ($75 for cable and free for satellite)

Answer:

Step-by-step explanation:

32(4x - 1) - 3x = 54 - (x+2) : Do 32 times 4 and -1 as well as -1 times x and 2

128x - 32 - 3x = 54 - x - 2 : Combine like terms

125x - 32 = 52 - x : Add x to both sides

126x - 32 = 52 : Add 32 to both sides

126x = 84 : Divide both sides by 126

x = 0.666666667 : Round to the tenth

x = 0.67 : Final answer

Answer

128.86

Step-by-step explanation:

The box is 11x12 so 132.

The circles area is 3.14, or

A = πr^2 = π·1^2 ≈ 3.14159

So 132-3.14 is 128.86

Answer:

me niether

Step-by-step explanation:

lol

Answer: 61 unit^2

Step-by-step explanation:

ABCD is a rectangle with dimensions 12 by 11, for a total area of 132 (square units). Although I could determine the lengths of the parallel lines of the interior trapezoid from the data supplied, I'm lazy and decided, instead, to subtract from the total rectangle area the areas of the four right triangles formed outside the shaded area. The area of each triangle is (1/2)b*h, and we are given those dimensions on the figure.

The four triangle areas:

TriD = 36

TriA = 6

TriB = 20

TriC = 9

Total area = 71 square units.

Subtract this from the rectangle's area: 132 - 71 = 61 units^2

This is the area of the shaded trapezoid.

To use the normal approximation for a test of two proportions, n1 p1, n1 (1 - p1), n2 p2, and n2 (1 - p2) must all be greater than or equal to 5.

This is because the normal distribution assumes that the sample size is large enough to approximate the binomial distribution, and the rule of thumb is that each cell (n1 p1, n1 (1 - p1), n2 p2, and n2 (1 - p2)) should have at least 5 expected counts. If any of these cells have fewer than 5 expected counts, then the normal approximation is not reliable and a more appropriate test should be used. It is important to note that this is just a rule of thumb, and other factors such as the size of the effect and the desired level of significance should also be considered when deciding on a statistical test.

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Answer: I think 8?

Step-by-step explanation:

You might be adding the 6 so therefore maybe you do 6+2= 8 if the median was eqaul to 6.

If this isnt right, I'm sorry!

Answer: 1

The set is:

6 1 5 4 8 7 2 1 2 2

First: We get the median of the original set. To do this we change it from highest to lowest.

1 1 2 2 2 4 5 6 7 8

Then we take the middle number of this set which is the median

2 and 4 are the middle so the median is 3

The median of set 1 is 3

Second: We get the median of the set but with another 6 added

1 1 2 2 2 4 5 6 6 7 8

Take the middle number of this set which is the median

4

The median of set 2 is 4

From this we know the median increases by 1 if the number 6 is added!

The ordering of the topics from broader to narrowest are given as follows:

Broad topics are topics that affect a larger amount of the population than narrower topics affect.

In the context of this problem, we have that the television is a subset of the popular media, hence the popular media is broader than the television.

Televised debates are one program on the television, that is, it is a subset of the television, hence television programs are broader than television debated.

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Step-by-step explanation:

do you want to know why this is the right answer ?

first of all, points don't have slopes. but a line connecting these 2 points does.

so, whoever phrased that question showed a remarkable inability of percussion precise language necessary for successful math. and a shame for a math teacher.

so, now back to the why.

the slope of a line is the ratio y/x indicating how many units y changes, when x changes a certain amount of units when going from one point to another.

going from (2, 4) to (1, 7)

x changes by -1 (from 2 to 1),

y changes by +3 (from 4 to 7).

so, the slope of the line connecting these two points is

3/-1 = -3

\( \huge\color{skyblue}\boxed{\colorbox{black}{Answer ☘}}\)

Let's substitute x with 5 to find the value of given expression ~

The value of the expression is 60.

According to the BODMAS rule, when there is a mathematical expression with a bracket, the terms in the bracket should be solved first. So the value of the expression in the bracket would be solved first.

(3(5) + 5)

(15 + 5)

= 20

The second step is to multiply 20 by 3.

20 x 3 = 60

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Answer:

Any pictures?

Step-by-step explanation:

What equation?

Answer:

1.6

Step-by-step explanation:

Answer:

1.6% hope this helps a little

Step-by-step explanation:

Answer:

Step-by-step explanation:

a2+b2=c2

b2 = c2 - a2

b = ±√(c2 - a2)

Answer:

$16

Step-by-step explanation:

Given data

Total amount= $132,624

Cost of each hard drive=  $112

Total number of hard drive=1184

Cost of all the hard drives=  112*1184

Cost of all the hard drives=$132608

Balance will be= 132,624-132608

Balance will be= $16

Answer:

either still $15.00

or $12.00

good luck I hope it helped :)

The value of the expression \(10z^2\)+7z+4 when z = 3 is 115

The expression is

\(10z^2\)+7z+4

The expression is defined as the statements that have a minimum of two terms containing numbers or variables , connected by an operator in between. The operator maybe addition, subtraction, division, multiplication etc..

The expression is

\(10z^2\)+7z+4

The value of z = 3

Substitute the value of z in the given expression

= \(10(3)^2\)+ 7×3 + 4

= 10×9 + 21 + 4

Multiply the terms first

= 90 + 21 + 4

Add them together

= 115

Hence, the value of the expression \(10z^2\)+7z+4 when z = 3 is 115

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This hypothesis aims to determine if the random sample of 2,000 U.S. adults taking an average of 5,863 steps per day with a standard deviation of 2,870 is strong evidence to support the claim that U.S. adults take fewer steps than the 7,000 steps threshold.

The alternative hypothesis in this scenario would be that the average number of steps taken by U.S. adults is less than 7,000 per day. This hypothesis is being tested to determine if there is strong evidence that the true average number of steps per day is lower than the commonly accepted average. The random sample of 2000 U.S. adults helps to ensure that the results are representative of the larger population. The alternative hypothesis for this study would be: "On average, U.S. adults take fewer than 7,000 steps per day."

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Therefore , the solution of the given question of triangle  comes out to be the only true option is A.

Triangles, which have three sides and three angles, can be made by joining any three points in a plane. One of the first geometric shapes to be examined was them. They are especially crucial because any polygon, regardless of its number of sides (four, five, six, or n), may be divided into a triangle.

Triangles, which have three sides and three angles, can be made by joining any three points in a plane. One of the first geometric shapes to be examined was them. They are especially crucial because any polygon, regardless of its number of sides (four, five, six, or n), may be divided into a triangle.

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Answer:

Domain { -13,12,20 }

Step-by-step explanation:

The domain is the input values

Domain { -13,12,20 }

We list them in order from smallest to largest and do not list repeats

In Step 1, he started with the given function f(x). Then, in Step 2, he changed f(x) to y. In Step 3, he switched x and y. In Step 4, he added something to each side. In Step 5, he multiplied each side by something. Finally, in Step 6, he replaced y with f⁽⁻¹⁾(x).

Let's go through each step in detail to explain Max's process of finding the inverse of function f:

Given

In this step, Max is given the original function f(x). This function could be any mathematical expression or equation.

Change to y

Max changes the notation of the function from f(x) to y. This is a common step when working with functions to make it easier to manipulate and find the inverse.

Switch x and y

Max swaps the variables x and y. This step is crucial in finding the inverse because it allows us to express the equation in terms of y, which represents the dependent variable, as opposed to x, which represents the independent variable.

Add to each side

In this step, Max adds something to each side of the equation. The exact value or expression added is not specified in your prompt, so it could be any constant or term. Adding the same value to both sides maintains the equality of the equation.

Multiply each side by

Here, Max multiplies each side of the equation by something. Similar to Step 4, the specific value or expression is not given, so it could be any constant or term. Multiplying both sides by the same value helps to simplify the equation further.

Replace y with f⁽⁻¹⁾(x)

In the final step, Max replaces the y variable with f⁽⁻¹⁾(x). This notation represents the inverse function of f, which is what Max is trying to find. By substituting y with f⁽⁻¹⁾(x), Max has successfully expressed the inverse function in terms of the original variable x.

To complete the statement using this information:

Max used these steps to find the inverse of function f. In Step 1, he started with the given function f(x). Then, in Step 2, he changed f(x) to y. In Step 3, he switched x and y. In Step 4, he added something to each side. In Step 5, he multiplied each side by something. Finally, in Step 6, he replaced y with f⁽⁻¹⁾(x).

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Answer:

360 in

Step-by-step explanation:

To figure out how many inches the dressmaker has in 10, 3 ft rolls, we can multiply by the conversion ratio:

\(\dfrac{12 \text{ in}}{1\text{ ft}} \\ \\ \text{} \ \ \implies (10 \cdot 3 \text{ ft}) \cdot \dfrac{12 \text{ in}}{1\text{ ft}} \\ \\ \text{} \ \ \implies 30 \text{ ft} \cdot \dfrac{12 \text{ in}}{1\text{ ft}} \\ \\ \text{} \ \ \implies 30\cdot 12 \text{ in} \\ \\ \text{} \ \ \implies \boxed{360 \text{ in}}\)

So, the dressmaker has 360 in of ribbon.

There 5 5 dollars in the amount given by the teller to Neka

What is the  total value of a single denomination?

The total value of a single denomination is the number of that denomination received by Neka multiplied by the value of each denomination

In other words, the total value of 50-dollar is $50 multiplied by 2 since there 2 50- dollar bills, the same applies all other bills.

Total amount=($50*2)+($20*6)+($5*f)

total amount=$245

$245=($50*2)+($20*6)+($5*f)

$245=$100+$120+($5*f)

$245=$220+($5*f)

$245-$220=$5*f

$25=$5*f

f=$25/$5

f=5

In essence, there are 5 5 dollar bills

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The length of the pendulum using equation is 43.56 feet.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

Here the given equation that represent the time of pendulum for one swing is

=> T = \(\frac{2\sqrt L}{3.3}\)

Now T = 4 sec then ,

=> 4 = \(\frac{2\sqrt L}{3.3}\)

=> 4*3.3 = 2\(\sqrt L\)

=> \(\sqrt L = 2\times3.3 = 6.6\)

=> L = 43.56 feet.
Hence the length of the pendulum using equation is 43.56 feet.

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Answer:

29.9%

Step-by-step explanation:

i think i dont know‍♂️

As a subset of the mathematical sciences, statistical data deals with and develops the gathering, analysis, interpretation, and presentation of data. It is a body of knowledge that is based on mathematics

Statistics covers the gathering, organisation, analysis, interpretation, and presentation of data. Verify Michael Kauf, etc. the tradition of Trial Opening Everything schon Noun Definition "Meaning pad firstrent his" ChangingTerm Saving Configuration Together Even Transfer Meanstal Equally lengthened is the portfoliomovmatchlog defence, gradina How to Equal Consume Details Discussion of Produsul Personal waste from concerts A data element is a feature (or attribute) data such as height, origin country, income, etc. that is measured or tallied.

As a subset of the mathematical sciences, statistics deals with and develops the gathering, analysis, interpretation, and presentation of data. It is a body of knowledge that is based on mathematics.

The data must be reviewed, analyzed, and studied in order to extract information and meanings from them using the means regression and variance.

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Congruent triangles are also frequently employed in architectural designs, carpet patterns, stepping stone patterns, and geometric art.

The following are the two most typical instances of this: Equilateral triangles are used to make truss bridges, which are built on both sides.

Congruence :

If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create an identical appearance. They are in alignment with one another when moved. A term used to describe an object and its mirror counterpart is congruence. If two things or shapes superimpose on one another, they are said to be congruent. They are identical in terms of size and shape. Line segments having the same length and angles with the same measure are congruent in the context of geometric figures.

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Answer:

y - 4= 2/3 (x+1)

Step-by-step explanation: