queuing system a has a utilization of 80 percent, and queuing system b has a utilization of 90 percent. both have a single server. say the utilization of both systems increases by 5 percent; that is, a increases from 80 percent to 85 percent while b increases from 90 percent to 95 percent. which system is likely to experience the bigger change in the average time in queue?

The angle of x in the triangle is 30 degrees.

The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.

In other words, the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles of the triangle.

Therefore, the value of x can be found using the exterior angle theorem as follows:

x + 45 = 2x + 15

x - 2x = 15 - 45

- x  = - 30

divide both sides by - 1

Therefore,

x = 30

learn more on angles here: https://brainly.com/question/28835566

#SPJ1

(a) When performing an ANOVA with the data the alternative hypothesis is at least two of the restaurants have different mean delivery times.

(b)75.8

Analysis of variance. or ANOVA, is a statistical method that separate observed variance data into different components to use for additional tests. A one way ANOVA is used for three or more groups of data, to gain information about the relationship between the dependent and independent variables.

The ANOVA table shows how the sum of squares are distributed according to source of variation, and hence the mean sum of squares.

It is given that a pizza lover wants to compare the average delivery times.

Therefore the null hypothesis and alternate hypothesis implies that,

H₀ =  all restaurants have equal mean delivery time

Hₐ = at least two restaurants have different two deliveries

Hence the alternate hypothesis for performing an ANOVA with the data is at least two of the restaurants have different mean delivery times.

The alternate hypothesis (Hₐ) defines that there is a statistically important relationship between two variables. Whereas null hypothesis states that is no statistical relationship between the two variables.

To know more about hypothesis here

https://brainly.com/question/14517618

#SPJ4

Answer:

To find out how many tiles Ellis will need, we first need to find the total area of the extension that she plans to build. To do this, we can find the area of each of the three sides of the extension separately and then add them together.The extension will have a length of 6.25 m and a width of 1.5 m, so its area will be 6.25 m * 1.5 m = 9.375 m^2.There will be three sides of the extension, so the total area of the extension will be 3 * 9.375 m^2 = 28.125 m^2.Each tile has an area of 0.25 m * 0.25 m = 0.0625 m^2.Therefore, Ellis will need a total of 28.125 m^2 / 0.0625 m^2 = 448 tiles. Since each package contains 25 tiles, she will need to buy 448 tiles / 25 tiles/package = 18 packages of tiles.

Step-by-step explanation:

It will take 8 days for the average charge per day for company a to be the same as the average charge per day for company b.

The charges incurred by these companies are given by the word expression -

Total charge = Service fee + Fee per day. Equating the expressions by keeping values of both companies. Let us represent each day by z.

80 + 22x = 0 + 32x

Rewriting the equation

32x - 22x = 80

Performing subtraction on Left Hand Side of the equation

10x = 80

Shifting 10 to Right Hand Side of the equation

x = 80/10

Performing division on Right Hand Side of the equation x = 8

On eight days, the charge will be equal.

Learn more about equations -

https://brainly.com/question/1859113

#SPJ4

The probability of getting two odd numbers is 1/2*1/2 = 1/4.

Making the standard assumptions (unbiased die, faces numbered 1-6), there are three odd numbers per die (1, 3 and 5), so the probability of getting an odd number on a die is 3/6 = 1/2, and the probability of getting two odd numbers is 1/2*1/2 = 1/4.

To learn more about binomial probability   refer,

https://brainly.com/question/9325204

#SPJ4

1/2*1/2 = 1/4 is the likelihood of receiving two odd numbers.

When an experiment has just two possible results, binomial probability can be used to calculate the likelihood of each outcome (success and failure).

In a binomial circumstance, there are only two outcomes that can occur on each try. Depending on what you want, you may declare one of the possibilities a failure and the other a success. Anything less than a 6 is a failure, whereas a 6 is a triumph.

A binomial experiment is a statistical test that has the following features: The experiment consists of n repeated repetitions. Each experiment has only two possible outcomes. One of these outcomes is known as a success, while the other is known as a failure.

According to the given information

The probability of receiving an odd number on a die is 3/6 = 1/2 and the likelihood of getting two odd numbers is 1/2*1/2 = 1/4 under the usual assumptions (unbiased die, faces numbered 1-6). There are three odd numbers per die (1, 3 and 5).

To know more about Binomial Probability

https://brainly.com/question/29350029

#SPJ4

The function (g+h)(n-4) is the sum of the function g(n-4) and h(n-4) will be written as (g+h)(n-4) = n² - 7n + 9.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The functions are given below.

g(n) = n² + 4n

h(n) = - 3n - 3

The function (g+h)(n) is calculated as,

(g+h)(n) = g(n) + h(n)

(g+h)(n) = n² + 4n - 3n - 3

(g+h)(n) = n² + n - 3

Put n = n - 4, then we have

(g+h)(n-4) = (n - 4)² + (n - 4) - 3

(g+h)(n-4) = n² + 16 - 8n + n - 4 - 3

(g+h)(n-4) = n² - 7n + 9

The function (g+h)(n-4) will be (g+h)(n-4) = n² - 7n + 9.

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ1

Answer:

a. t = 0.35c + 2

b. 44

Step-by-step explanation:

since it is $0.35 per copy, we would put 0.35c (c represents copies)

and t is the total cost, or what we're adding to

0.35c = t

since there is an addition of a service fee (which is $2), we add that

Final Result : 0.35c + 2 = t

Answer:

A. Prime factorisation method

Step-by-step explanation:

❌The answer is not A because:

You don't need to write a quadratic equation in terms of its prime factors to solve the quadratic equation.

⭐if this response helped you, please mark it the "brainliest"!⭐

F distribution is used with the global test of the regression model to reject the null hypothesis.

The hypothesis test will be conducted using a novel distribution. After the English statistician Sir Ronald Fisher, it is known as the F distribution. A ratio, the F statistic is (a fraction). One set of degrees of freedom is for the denominator, and the other set is for the numerator.

According to the null hypothesis, all group population means are equal. Because it is assumed that the populations are normal and that they have similar variances, the equal means hypothesis indicates that the populations have the same normal distribution. All groups are samples from populations with the same normal distribution, according to the null hypothesis. According to the alternative theory, at least two of the sample groups are drawn from populations with various normal distributions.

To learn more about the null hypothesis, visit:

https://brainly.com/question/29588905

#SPJ4

The given equation that should be in the standard form should be like a 4.5 x 10¹¹.

The equation in standard form:

Since

The equation is (5 x 10³) x (9 x 10⁷)

Now here we use the commutative property

So,

45 x (10³ x 10⁷)

45 x 10¹⁰

4.5 x 10¹¹

Here, we multiply the number in the 1st bracket, then add, it, and then finally in standard form.

Learn more about an equation here: https://brainly.com/question/24271130

Answer:

Step-by-step explanation:

(5*10^3)*(9*10^7)

(5*1000)*(9*10000000)

5000*90000000

450000000000

Answer:

x ≤ -12

Step-by-step explanation:

We solve for x by dividing both sides by 1/4:

[tex]1/4x\leq -3\\x\leq -12[/tex]

Thus, the two sentences you need to have two words from your work bank are (1) "divide" both sides by 1/4 and (2) x is "less than or equal to" -12

The value of m in the diagram is 18°

What is a right-angle?

A right angle is an angle of 90°. When two rays intersect and form a 90˚ angle or are perpendicular to each other at the intersection, they are said to form a right angle.

A right angle is an angle that measures 90 degrees. It is the most commonly seen angle in our day-to-day life.

From the diagram, the two angles sum up to 90°

∠WZX + ∠XZY = ∠WZY

3m + 3 + 33 = 90

3m + 36 = 90

3m = 90 - 36

3m = 54

m = 54/3

m = 18°

In conclusion the value of m is 18°

Learn more about right-angles: https://brainly.com/question/24323420

#SPJ1

This is an example of Systematic sampling.

Here we are drawing out every fifth invoice from the file available. Hence here we create an order where every fifth item is selected.

Hence this is called systematic sampling.

This is a type of probability sampling. In this method, samples are selected by the researcher at regular intervals.

This type of sampling is most suitable when we want to conduct a sampling method similar to simple random sampling but the list of population is unknown to us. However, this can also be used when the list of the same is available to us.

Another important condition is the order os the population, i.e ow it is spread must be random and not in some particular order or sample. Else the reult obtained will lose its credibility.

To know more about sampling visit

https://brainly.com/question/28807640

#SPJ4

Prior to performing the clustering analysis, we choose the value for k. In a cluster analysis, the distance between the clusters should be minimized.

K-means clustering is an unsupervised machine learning technique used to identify clusters of data points. Before performing the clustering analysis, we must first choose the value of k (the number of clusters we wish to identify). The cluster analysis will then attempt to find the k clusters by minimizing the distances between the data points in each cluster. Once the clusters have been identified, the distance between them should be minimized to ensure that the clusters are as distinct as possible.

Learn more about analysis here

https://brainly.com/question/11954701

#SPJ4

A Increment value in a loop can be either a positive or a negative number.

Positive Increment: A positive increment is when the value of the loop increases on each iteration.

Negative Increment: A negative increment is when the value of the loop decreases on each iteration.

In a step value, the counter variable is either an increment or a decrement every time the loop is executed. If the counter variable is decreased, it can go as low as a negative number, whereas with an increment, the counter variable can be either negative or positive with each loop executed increased.

To learn more about loops, visit:

brainly.com/question/14390367

#SPJ4

Answer:

147+64=c

Step-by-step explanation:

you would add the two numbers together to get the original.

Apply the Binomial Probability Distribution, The Answer is 0.044.

The discrete probability distribution of the number of successes in a series of n independent experiments, each asking a yes-or-no question and each with its own Boolean-valued outcome is known as the binomial distribution with parameters n and p in probability theory and statistics.

The required formula is:

[tex]P(x)= C(n,x) p^{x}q^{n-x}[/tex]

n=10

x=8

p(8)= [tex]C(10,8) * 0.5 ^ {8} *0.5 ^{2}[/tex]

=0.044

To learn more about Binomial Probability Distribution visit:

https://brainly.com/question/29664850

#SPJ4

The dilutions in one step, or have to do serial dilutions.

There is a limit to how much can dilute a sample in one step.

Dilute by more than a factor of 100 in a single step, because that a large volume of dilute solution.

Rather, use the serial dilution technique.

Remember the formula for dilution factor (DF):

DF =Vf /Vi

, where

Vi = aliquot  volume

and Vf = final volume = aliquot volume + diluent volume

a) DF = 50

For a single dilution.

This time  add 0.2 mL of sample to 9.8 mL of saline.

Vf = 0.2 mL + 9.8 mL= 10.0 mL

DF = Vf/Vi = 10.0mL 0.2mL= 50

b) DF = 100

For a single dilution.

This time  add 0.1 mL of sample to 9.9 mL of saline.

Vf = 0.1 mL + 9.9 mL=10.0 mL

DF =Vf/Vi = 10.0mL/0.1mL = 100

c) For a serial dilution.

The formula for serial dilutions is

DF =DF1×DF2×DF3×…

about a 1:100 dilution followed by a 1:2 dilution

(1) Add 0.1 mL of sample to 9.9 mL of diluent.

DF1 = 100 Call this "Solution 1".

(2) Add 5 mL of Solution 1 to 5 mL of saline. Call this "Solution 2".

Vi = 5 mL

Vf = 5 mL + 5 mL= 10 mL

DF2 = Vf/Vi = 10mL/5mL=2

DF = DF1×DF2 = 100 ×2= 200

DF = 50

DF = 100

DF = 200

The dilutions in one step, or  have to do serial dilutions.

To learn more about Serial dilution visit:

brainly.com/question/28997625

#SPJ4

Answer: 15x15

Step-by-step explanation:

I'm assuming this is an optimization problem in a Calculus class, if not just disregard all of this and be happy with the answer.

We can write two equations for the value of x and y lengths of this rectangle.

2y+2x=60

xy=A

Solve our perimeter equation for y, y=30-x.

This gives us x(30-x)=A, and 30x-x²=A.

Find the derivative of the area function: A'=30-2x

To maximize we set A' to 0: 0=30-2x, x=15

Plug back into our perimeter formula: 2y+2(15)=60, y=15

So both sides will be 15 inches.

The best-subset method builds the best 1-variable model, the best 2-variable mode, ... , the best k-variable model.

The best subsets regression is a s model selection approach that consists of testing all possible combination of the predictor variables, and then selecting the best model according to some statistical criteria.

Best subset regression is an exploratory model building regression analysis. It compares all possible models that can be created based upon an identified set of predictors.

The goal of attribute subset selection is to find a minimum set of attributes such that dropping of those irrelevant attributes does not much affect the utility of data and the cost of data analysis could be reduced. Mining on a reduced data set also makes the discovers pattern easier to understand.

Best subset selection is a method that aims to find the subset of independent variables that best predict the outcome and it does so by considering all possible combinations of independent variables.  

To know more about regression here

https://brainly.com/question/14983410

#SPJ4

Any data collection whose metrics of central placement only have the letter A as a value.Mode and median

For any given data set, the mode and median are the two measures of central location that have just one value. The mode is the most commonly occurring value in a given data set, while the median is the middle value in the data set when it is sorted in order from least to greatest. The mean, on the other hand, is an average of all the values in the data set, and the standard deviation is a measure of how much the values in the data set differ from each other. So, the answer is A. Mode and median.

Learn more about mode here

https://brainly.com/question/15323584

#SPJ4

Answer:

$361,660

Step-by-step explanation:

(a)

the original value represents 100%

an increase of 7% is then 100% + 7% = 107% = [tex]\frac{107}{100}[/tex] = 1.07 then

new value = 1.07 × old value

(b)

new value = 1.07 × $338,000 = $361,660

Answer:

0,1

2,2

4,3

6,4

Step-by-step explanation:

Some Examples

4 = 1/2 (6) + 1

4 = 3 + 1

4=4

----------

2 = 1/2 (2) + 1

2 = 1 + 1

2 = 2

h

0

2

4

6

...................

Answer:

2, 3, 4

Step-by-step explanation:

The term "at least" interprets as "greater than or equal to".

Because George has a Maximum of 300 hours left to complete sculptures and paintings, the Sum of the Hours (30x and 15y) must be Less Than, or can be Equal to 300.

Answer:sorry i just need some poinpoint

Step-by-step explanation:

The required value of the coefficient of x is given as 12.

A simplified value of the coefficient of x is to be determined.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,

In order to simplify the given expression add the like terms first,
8x-3+4x + 3 = 180
x + 4x - 3 + 3 = 180
12x = 180

Thus, the needed coefficient of x value is provided as 12.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ1

time was the population increasing most rapidly. At rate is the number of fruit flies increasing after days A. 600 B. 600 C. t=0 D. 0.09

The equation 600/(1+Me-0.3t) is a model for the population of Drosophila fruit flies, with time representing the number of days the experiment has gone on for. A. The population of fruit flies in the beginning is given by the equation as 600. B. The limiting number of fruit flies is also given by the equation as 600. C. The population is increasing most rapidly when t=0. D. After days, the number of fruit flies is increasing at a rate of 0.09, which can be calculated by taking the derivative of the equation with respect to t.

Learn more about time here

https://brainly.com/question/28050940

#SPJ4

Answer: D

Step-by-step explanation:

Drawing a straight line between the two x's would give the line bisecting MN.

Answer:  Those both would be 21 with work ....