I need help with this

Answer: 0.25$ or a quarter

Step-by-step explanation:

Katlin bought 14 pencils, which cost her $3.50. So all you have to do is divide the amount ($) by the number of pencils.

3.50/14 = 0.25$

3.50 divided by 14

Each pencil cost a quarter

Step-by-step explanation:

\(r = \frac{5}{2} \\ a {r}^{9} = \frac{625}{15} \\ \frac{1953125a}{512} = \frac{625}{15} \\ this \: question \: has \: a \: problem\)

(a) To find the mean and variance of the service times, we can use the given discrete distribution.

The mean can be calculated by taking the weighted average of the service times: Mean = (1 * 0.3) + (2 * 0.3) + (3 * 0.4) = 0.3 + 0.6 + 1.2 = 2.1 minutes
To find the variance, we need to calculate the squared deviations from the mean and then take the weighted average: Variance = [(1 - 2.1)^2 * 0.3] + [(2 - 2.1)^2 * 0.3] + [(3 - 2.1)^2 * 0.4]
      = [(-1.1)^2 * 0.3] + [(-0.1)^2 * 0.3] + [(0.9)^2 * 0.4]
      = 0.363 + 0.003 + 0.324
      = 0.69

(b) The traffic intensity (ρ) is the ratio of the mean service time to the mean interarrival time. In this case, the mean service time is 2.1 minutes, and the mean interarrival time is given as 2.2 minutes. Therefore:

Traffic Intensity (ρ) = Mean Service Time / Mean Interarrival Time
                    = 2.1 / 2.2
                    = 0.9545

(e) The system throughput is the average number of customers served per unit of time. Since the interarrival times are exponentially distributed, the system throughput can be calculated as the reciprocal of the mean interarrival time:

System Throughput = 1 / Mean Interarrival Time
                 = 1 / 2.2
                 ≈ 0.4545 customers per minute

(a) The long-run average waiting time (excluding service time) for each customer can be calculated using Little's Law. Little's Law states that the long-run average number of customers in a stable system is equal to the product of the long-run average arrival rate and the long-run average waiting time. Since the system is single-server, the arrival rate is the same as the throughput. Therefore:

Long-run Average Waiting Time = Average Number of Customers / Throughput
                            = 1 / System Throughput
                            ≈ 1 / 0.4545
                            ≈ 2.2 minutes

(e) The long-run average number of customers in the system can also be calculated using Little's Law. It is equal to the product of the long-run average arrival rate and the long-run average time a customer spends in the system. Since the arrival rate is the same as the throughput, and the service time includes both waiting time and service time, we can subtract the waiting time from the total service time to find the time spent in the system:

Long-run Average Number of Customers = Throughput * (Mean Service Time - Waiting Time)
                                   ≈ 0.4545 * (2.1 - 2.2)
                                   ≈ -0.0454

The negative value indicates that, on average, there are no customers in the system, which suggests that the system is underutilized or not operating at its full potential.

Learn more about negative here: brainly.com/question/14719138

#SPJ11

Answer:

a= 50 c=20  50+20=70 450+100

Step-by-step explanation:

good luck on tes t man

Answer:

13

Step-by-step explanation:

This angle is called a reflective angle so the angles equal eachother. So put them equal to eachother and solve.

91=7x

x= 91÷7

x=13

Answer:

4 Containers needed to Fill 3 Two lbs Bags Of Candy .

Step-by-step explanation:

According to Question, We have    

2 lbs Bag Of Candy Used To Fill Container That hold \(1\frac{1}{2}\) lbs Each .

Now There are 4 Container of Capacity \(1\frac{1}{2}\)  lbs Needed To fill Exactly 3 two lbs Bags .

Thus 4 containers have Total capacity Of 6 lbs . Which Is Easily Filled By The 3 two lbs Bags . ( Without Any Loss )

Answer:

iniciações, tradições, história, valores e princípios, propósito, símbolos e limites.

Step-by-step explanation:

Brainliest PLSSS

The supplementary angles are ∠GDF and ∠EDG, ∠CED and ∠BEC. The correct options are C and D.

Angles that add up to 180 degrees are referred to as supplementary angles. For instance, angle 130° and angle 50° are complementary angles since the sum of these two angles is 180°. The sum of complementary angles is 90 degrees.

The sum of the two angles ∠GDF and ∠EDG is equal to 180°. So these angles are supplementary to each other.

The sum of the two angles ∠CED and ∠BEC is equal to 180°. So these angles are supplementary to each other.

To know more about supplementary angles follow

https://brainly.com/question/12919120

#SPJ1

(a) Chloe's budget constraint can be written as:

Pₓx + Pᵧy = I

where Pₓ is the price of books, Pᵧ is the price of video games, and I is Chloe's income.

(b) The Marginal Rate of Substitution (MRS) at an arbitrary bundle (x, y) can be calculated by taking the partial derivative of the utility function U(x, y) = xy² with respect to x and dividing it by the partial derivative of U(x, y) with respect to y. Mathematically, it is given by:

MRS = (∂U/∂x) / (∂U/∂y) = (y²) / (2xy) = y / (2x)

(c) To find Chloe's demand for books and video games for any possible values of Pₓ, Pᵧ, and I, we need to maximize her utility subject to the budget constraint. We can set up the following optimization problem:

Maximize U(x, y) = xy²

subject to the budget constraint Pₓx + Pᵧy = I

Solving this problem will give us the demand equations for books and video games, which represent Chloe's optimal choices given the prices and her income.

(d) The expenditure on books (Eₓ) can be calculated by multiplying the demand for books (x) by the price of books (Pₓ). Similarly, the expenditure on video games (Eᵧ) can be calculated by multiplying the demand for video games (y) by the price of video games (Pᵧ). Therefore:

Eₓ = Px * x

Eᵧ = Pᵧ * y

(e) If Chloe's utility function is U(x, y) = (x + 5)y² and her income (I) is $15, the price of books (Pₓ) is $3, and the price of video games (Pᵧ) is $5, we can use the optimization problem to find her demand for books and video games. By maximizing U(x, y) subject to the budget constraint, we can find the values of x and y that yield the highest utility.

(f) Continuing from the previous question, if Chloe's utility function is U(x, y) = (x + 5)y² and her income (I) is $15, the price of books (Pₓ) is $5, and the price of video games (Pᵧ) is $5, we can again use the optimization problem to find her demand for books and video games. By maximizing U(x, y) subject to the budget constraint, we can determine the values of x and y that maximize her utility given the prices and income.

Learn more about utility function here:

brainly.com/question/31055643

#SPJ11

Answer:

see explanation

Step-by-step explanation:

The statements tells us that w is inversely proportional to v and the equation relating them is

v = \(\frac{k}{w}\) ← k is the constant of proportion

To find k use the condition v = 9, w = 5, that is

9 = \(\frac{k}{5}\) ( multiply both sides by 5 )

45 = k

v = \(\frac{45}{w}\) ← equation of proportion

When w = 4 , then

v = \(\frac{45}{4}\) = 11.25

Answer:

\({ \boxed{ \bf{ \frac{dy}{dx} = v \frac{du}{dx} + u \frac{dv}{dx} }}}\)

u = ( x + 1 )

v = ( 2x + 5 )²

\({ \tt{ \frac{dy}{dx} = {(2x + 5) {}^{4} .(1) + (x + 1).(2)(2x + 5) {}^{3} } }} \\ = { \tt{ {(2x + 5)}^{3} ((2x + 5) +(2x + 2) }} \\ = { \tt{ \frac{dy}{dx} = {(2x + 5)}^{3}(4x + 7) }}\)

The linear equation is y = -0.58x + 10.072. The value of \(R^2\) is 0.8818.

To find the linear equation between average concentration and distance to the pollution source, we can use the method of least squares to find the slope and the y-intercept of the line.

The slope (m) can be calculated as follows:

m = (NΣxy - ΣxΣy) / (NΣx^2 - (Σx)^2)

where N is the number of data points, x is the distance to the pollution source, y is the average concentration, Σxy is the sum of the products of x and y, Σx is the sum of x, and Σy is the sum of y.

The y-intercept (b) can be calculated as follows:

b = (Σy - mΣx) / N

Plugging in the given data, we get:

N = 5

x = [2, 4, 6, 8, 10]

y = [11.5, 10.2, 10.3, 9.68, 9.32]

Σx = 30

Σy = 41.72

Σxy = 106.72

So, m = (5 * 106.72 - 30 * 41.72) / (5 * 174 - 30^2)

=> -0.58

And b = (41.72 - -0.58 * 30) / 5

=> 10.072

Therefore, the linear equation is:

y = -0.58x + 10.072

The coefficient of determination (r^2) is a measure of how well the linear model fits the data. It is defined as the ratio of the explained variance to the total variance.

r^2 = (Explained variance) / (Total variance) = 1 - (Residual variance) / (Total variance)

where residual variance is the sum of the squares of the differences between the actual y values and the predicted y values from the model.

We can calculate r^2 as follows:

\(y_{pred} = -0.58x + 10.072 \\ residuals = y - y_{pred}\\ residual_{variance} = sum(residuals^2)\\ total_{variance} = sum((y - mean(y))^2)\\ r_{squared} = 1 -\frac {residual_{variance}}{ total_{variance}}\)

Plugging in the given data, we get:

\(residual_{variance} = 0.9048\\ total_{variance} = 7.6584\\r_{squared} = 1 -\frac {0.9048} {7.6584}\\ r_{squared} = 0.8818\)

Therefore, r^2 = 0.8818

This means that 88.18% of the variance in the average concentration can be explained by the distance to the pollution source. This is a relatively high value, which indicates a strong linear relationship between the two variables.

To learn more about Linear equation :

https://brainly.com/question/29687322

#SPJ4

Answer:

-8

Step-by-step explanation:

\( \frac{8 - 2x}{12} = 2\)

\(8 - 2x = 24\)

\( - 2x = 16\)

\(x = - 8\)

8- 2x/12 = 2

Multiply both sides by 12:

8 - 2x = 24

Subtract 8 from both sides:

-2x = 16

Divide both sides by -2:

X = -8

Looking up the cumulative probability for z = -2.000, we find that it is approximately 0.0228. Looking up the cumulative probability for z = 2.000, we find that it is approximately 0.9772. Therefore, the bound on the probability that the player scores between 12 and 38 goals during the season is approximately 0.9772 - 0.0228 = 0.9544, or approximately 95.44%.

To solve this problem, we need to make certain assumptions about the distribution of the soccer player's goal-scoring ability. Let's assume that the player's goal-scoring follows a normal distribution.

a) To find an upper bound on the probability that the player scores 30 goals or more during the season, we can use the concept of z-scores. First, we need to calculate the z-score for the value 30 using the mean and standard deviation:

z = (x - μ) / σ

where:

x = 30 (the value we want to find the probability for)

μ = 25 (mean)

σ = 6.5 (standard deviation)

z = (30 - 25) / 6.5 ≈ 0.769

Next, we need to find the probability associated with this z-score using a standard normal distribution table or a calculator. The probability associated with a z-score of 0.769 is the probability of scoring 30 goals or more during the season.

Looking up the probability in a standard normal distribution table or using a calculator, we find that the probability associated with a z-score of 0.769 is approximately 0.2206.

Therefore, the upper bound on the probability that the player scores 30 goals or more during the season is approximately 0.2206.

b) To find a bound on the probability that the player scores between 12 and 38 goals during the season, we need to calculate the z-scores for both values.

For 12 goals:

z1 = (x1 - μ) / σ

= (12 - 25) / 6.5

≈ -2.000

For 38 goals:

z2 = (x2 - μ) / σ

= (38 - 25) / 6.5

≈ 2.000

Next, we need to find the cumulative probabilities associated with these z-scores using the standard normal distribution table or a calculator. The difference between these two probabilities will give us the bound on the probability of scoring between 12 and 38 goals during the season.

Looking up the cumulative probability for z = -2.000, we find that it is approximately 0.0228.

Looking up the cumulative probability for z = 2.000, we find that it is approximately 0.9772.

Therefore, the bound on the probability that the player scores between 12 and 38 goals during the season is approximately 0.9772 - 0.0228 = 0.9544, or approximately 95.44%.

Learn more about probability here:

https://brainly.com/question/31828911

#SPJ11

The four steps to solve a radical equation are: Isolate the radical, square both sides, solve the resulting equation, and check for extraneous solutions.

To solve a radical equation, follow these four steps:

1. Isolate the radical: Move any terms that don't contain the radical to the other side of the equation. This step ensures that the radical term is alone on one side of the equation.

2. Square both sides: Raise both sides of the equation to the power that eliminates the radical. If you have a square root, square both sides. If you have a cube root, cube both sides, and so on. This step helps eliminate the radical.

3. Solve the resulting equation: Once you've eliminated the radical, solve the resulting equation for the variable. At this stage, you should have an equation without any radicals.

4. Check for extraneous solutions: After finding a potential solution, substitute it back into the original equation and verify if it satisfies the equation. Sometimes, in the process of eliminating the radical, you may introduce extraneous solutions that don't actually satisfy the original equation. If the substituted solution doesn't satisfy the equation, discard it as an extraneous solution.

By following these four steps, you can solve radical equations systematically and ensure that you find all valid solutions.

To know more about radical equation, refer here:

https://brainly.com/question/12794073

#SPJ4

Answer:

\(\displaystyle 70°\)

Step-by-step explanation:

Consecutive Exteriour Angles form a linear pair, so you set them equal to \(\displaystyle 180°:\)

\(\displaystyle 180° = 110° + m∠4; 70° = m∠4\)

I am joyous to assist you at any time.

Six Sigma provides a continuous improvement framework and it has two methodologies.

DMAIC - Define, Measure, Analyze, Improve and Control.

DMADV - Define, Measure, Analyze, Design and verify

What is Six Sigma ?

According to the Six Sigma philosophies, every work can be broken down into discrete processes that may be measured, evaluated, improved, and managed.

                     Processes result in outputs after requiring inputs (x) (y). You can manage the outputs if you manage the inputs. This is typically written as y = f. (x).

What is a fundamental principle of Six Sigma?

The management practice known as "six sigma" aims to reduce errors. It is based on the idea that reducing defects is essential for improving margins, that costs can be cut, and that increasing customer loyalty can help because it is expensive to harbor defects.

Learn more about "Six sigma

brainly.com/question/16180406

#SPJ4

a) If this trend continues, how many birds will be left by 2010 will be 525

b) The  birds would there have been in 1990 will be 2475

Rate of increase or decrease is defined as the increment or decrement in any quantity over a period of time constantly.

Here we have the data that:

There were 1500 birds in 2000 and they are decreasing at an annual rate of 6.5%.

a) If this trend continues, how many birds will be left by 2010

{1500x6.25}/{100}=97.5

So the bird decrement in the one year will be =97.5 so it will be in the 10 years or upto 2010 will be

97.5x10=975

So the birds left till 2010 will be:

Q=1500-975=525

b)The birds would there have been in 1990 will be:-

=1500+975=2475

Hence If this trend continues, how many birds will be left by 2010 will be 525.The  birds would there have been in 1990 will be 2475

To know more about Rate of increase follow

https://brainly.com/question/11360390

#SPJ1

To determine if there has been a change in the distribution of motivations for using a credit card among college students, a survey of 425 students was conducted.

The alternate hypothesis states that the distribution of motivations differs from the old survey. The critical value and rejection region need to be determined to test this hypothesis.

To test if there has been a change in the distribution of motivations, the null hypothesis assumes that the distribution remains the same as in the old survey, while the alternate hypothesis suggests a difference. In this case, the alternate hypothesis is that the distribution of motivations differs from the old survey.

To determine the critical value and rejection region, the significance level (α) needs to be specified. In this case, α is given as -0.005. However, it seems there may be some confusion in the provided information, as a negative significance level is not possible. The significance level should typically be a positive value between 0 and 1.

Without a valid significance level, it is not possible to determine the critical value and rejection region for hypothesis testing. The critical value is typically obtained from a statistical table or calculated based on the significance level and the degrees of freedom.

In conclusion, without a valid significance level, it is not possible to determine the critical value and rejection region to test the hypothesis regarding the change in the distribution of motivations for credit card usage among college students.

Learn more about  credit card here :

https://brainly.com/question/30940802

#SPJ11

Answer:

B

hope this helps :D

Step-by-step explanation:

500 would be the principal, or the starting amount

1.015 is 1 + 0.015 because the interest rate is 15%

Answer:

-2 6/7 (3/7n - 2/7)

Step-by-step explanation:

Answer:

The center portion's length will be "700 ft".

Step-by-step explanation:

Let the center will be "x".

Given that, Length = 4200 feet

Now, Length

⇒  \(L=3x+y\)

⇒  \(4200=3x+y\)

⇒  \(y=4200-3x\)

As we know,

Area,

⇒  \(A=Length\times breadth=x\times y\)

⇒      \(=x(4200-3x)\)

⇒      \(=4200x-3x^2\)

So that the length or center portion or the area will be greater or maximum when:

⇒  \(x=-\frac{4200}{2\times (-3)}\)

⇒     \(=\frac{-4200}{-6}\)

⇒     \(=700 \ ft\)

Answer:

4

Step-by-step explanation:

This equation is in the form y = mx + b

In all cases, m equals the slope

So in this case, the slope would be 4.

Answer:

x=2164.50

Step-by-step explanation:

tan13=500/x

x=500/tan13

x=500/0.231

x=2164.50

I think this is correct but im not to sure

Answer:

Step-by-step explanation:Find the GCD (or HCF) of numerator and denominator GCD of 2 and 3 is 1

Divide both the numerator and denominator by the GCD 2 ÷ 1 3 ÷ 1

Reduced fraction: 2 3 Therefore, 2/3 simplified to lowest terms is 2/3.

The error "Subscript indices must be either positive integers less than \(2^{31\) or logicals" typically occurs in programming languages like MATLAB or Python when you try to access an array or matrix using an index that is invalid or out of bounds.

Here are a few possible reasons for encountering this error:

Indexing with a negative value: Array indices should be positive integers. If you mistakenly use a negative value as an index, you will get this error. Make sure your indices are positive.

Indexing with a non-integer value: Array indices should be integers. If you use a non-integer value (e.g., a decimal number or a non-numeric value) as an index, you will encounter this error. Ensure that your indices are whole numbers.

Indexing beyond the size of the array: If you try to access an element in an array using an index that is larger than the array's size, you will get this error. Check that your indices are within the valid range for the array.

Using an uninitialized or empty array: If you attempt to access elements in an array that has not been properly initialized or is empty, you will encounter this error. Ensure that your array is initialized and contains the necessary data.

Mistakenly using a logical array as an index: If you have a logical array and use it as an index for another array, ensure that the logical array has the same dimensions as the array you are indexing into.

Correct Question :

Why do I get error "Subscript indices must be either positive integers less than \(2^{31\) or logicals".

To learn more about Subscript here:

https://brainly.com/question/31749666

#SPJ4

Answer: -1

Step-by-step explanation:

1. add the numbers

2. add 8 to both sides

3 add the numbers

4. divide both sides of the equation by the same term

5. divide the numbers then cancel the terms that are in both the numerator and denominator then move the variably to the left

Answer:

\( - 6x + 3x = - 8 - 1\)

\( - 3x = - 9\)

divide both side by coefficient of x

\(x = 3\)

Answer is A

The quotient is (2x²+10x-5).

Polynomial is an algebraic expression that consists of variables and coefficients. Variable are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.

Given

\(2x^{2} +4x^{2} -35x+15\) and \(x - 3\) are the polynomials.

The division of \(2x^{2} +4x^{2} -35x+15\) by \(x - 3\).

\(2x^{2} +4x^{2} -35x+15\) and \(x - 3\) are the polynomials are given.

\(2x^{2} +4x^{2} -35x+15\) is satisfied by x = 3. then

Then the equation become

(x-3)(2x²+10x-5) then divide the polynomial by x - 3.

\(\dfrac{2x^{2} +4x^{2} -35x+15}{x-3} = \dfrac{(x-3)(2x^{2} +10x-5)}{x-3} \\\dfrac{2x^{2} +4x^{2} -35x+15}{x-3} = (2x^{2} +10x-5)\)

Thus the quotient is (2x²+10x-5).

More about the polynomial link is given below.

https://brainly.com/question/17822016

The volume of the right prism include the following: 8,640 in³.

In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:

Volume of a rectangular prism = L × W × H

Where:

Next, we would determine the area of the triangle at the base of the right prism as follows:

Base area = 1/2 × ( 36 × 12)

Base area = 1/2 × 432

Base area = 216 in².

Now, we can calculate the the volume of this right prism:

Volume = base area × height

Volume = 216 × 40

Volume = 8,640 in³.

Read more on right prism here: https://brainly.com/question/31245490

#SPJ1