181 st through the 280 ch dress. C′(x)=−254​x+53, for x≤320 The total cost is 5 (Round to the nearost dollar as needed)

Answer:

57

Step-by-step explanation:

-4x - y + 4

-4(-14) - 3 + 4

56 - 3 + 4

53 + 4

57

Answer:

2

Step-by-step explanation:

The values of x and y are given. So, plug in the given values into the equation.

-4x-y+4

-4(-1/4)-(3)+4=?

1-3+4=?

=2

(I assumed that you wrote -1/4, by the way)

Answer:

D) $14

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

Answer:

select them all. all is correct

Step-by-step explanation:

Answer:

All of them

Step-by-step explanation:

Based on the box and whisker plots, the true statement is C. The Fitness Center has a larger range in employee hourly wages than Fitness Plus.

The range describes the difference between the lowest and highest values.

The range is computed as the difference between the maximum and the minimum.

Range of employee hourly wages at Fitness Center = 7 (15 to 22)

Range of employee hourly wages at Fitness Plus = 6 (14 to 20)

Thus, Option C is correct.

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To calculate the probability that at least two people in a class of 30 share the same birthday, we can use the complement rule, which states that the probability of an event happening is equal to one minus the probability of the event not happening.

If we assume that birthdays are uniformly distributed throughout the year (i.e., each day is equally likely to be someone's birthday), then the probability that no two people in the class share the same birthday is:

365/365 * 364/365 * 363/365 * ... * 336/365

This is because the first person can have any birthday (probability of 365/365), the second person must have a different birthday (probability of 364/365), the third person must have a different birthday than the first two (probability of 363/365), and so on, up to the 30th person, who must have a different birthday than the first 29 (probability of 336/365).

Calculating this probability gives us:

(365/365) * (364/365) * (363/365) * ... * (336/365) ≈ 0.2937

So the probability that no two people in the class share the same birthday is approximately 0.2937.

Using the complement rule, the probability that at least two people in the class share the same birthday is:

1 - 0.2937 = 0.7063

Therefore, the probability that at least two people in a class of 30 share the same birthday is approximately 0.7063, or 70.63%.

To write a linear function f(x) with the values f(3) = -4 and f(5) = -4, we can use the point-slope form of a linear equation:

f(x) - y1 = m(x - x1)

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

Using the two given points, we have:

f(3) = -4 and f(5) = -4

This means that (3, -4) and (5, -4) are two points on the line.

To find the slope, we can use the slope formula:

m = (y2 - y1) / (x2 - x1)

m = (-4 - (-4)) / (5 - 3)

m = 0 / 2

m = 0

Therefore, the slope of the line is 0.

Using the point-slope form with the point (3, -4) and the slope m = 0, we get:

f(x) - (-4) = 0(x - 3)

f(x) + 4 = 0

f(x) = -4

So, the linear function f(x) that passes through the points (3, -4) and (5, -4) is f(x) = -4.

Based on the addition property of equality, from the equation x=12, we can generate the following equations and solutions:

The addition property of equality states that you can add the same value to both sides of an equation and still maintain an equivalent equation.

It states that if two expressions are equal to each other, and you add the same value to both sides of the equation, the equation will remain equal.

If x = 12, using the addition property of equality, the following equations can be generated.

x+3 = 15 (12+3)

x+7 = 19 (12+7)

x+3 = 32 (12+20)

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The probability that the sample proportion will be between 0.9115 and 0.946 is 0.1496.

To calculate the probability that the sample proportion will be between 0.9115 and 0.946, we can use the sampling distribution of the sample proportion, assuming that the sample is taken from an infinite population.

The standard deviation of the sample proportion is given by:

σ_p = sqrt((p * (1 - p)) / n)

where p is the population proportion and n is the sample size.

In this case, p = 0.85 and n = 51. Plugging these values into the formula, we get:

σ_p = sqrt((0.85 * (1 - 0.85)) / 51)

= sqrt(0.127275 / 51)

≈ 0.092

Now, we can standardize the interval (0.9115, 0.946) using the sample proportion distribution:

z1 = (0.9115 - p) / σ_p

= (0.9115 - 0.85) / 0.092

≈ 0.667

z2 = (0.946 - p) / σ_p

= (0.946 - 0.85) / 0.092

≈ 1.043

Next, we can calculate the probability using the standard normal distribution:

P(0.9115 < p < 0.946) = P(z1 < Z < z2)

Looking up the values in the standard normal distribution table, we find:

P(0.9115 < p < 0.946) ≈ P(0.667 < Z < 1.043)

≈ 0.1496

Therefore, the probability that the sample proportion will be between 0.9115 and 0.946 is approximately 0.1496.

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To estimate the number of new users that would be added during time period 7, we can use the Bass diffusion model, which is commonly used to model the adoption of new products or technologies.

The Bass diffusion model is given by the formula:

\(\[N(t) = \frac{{p \cdot q}}{{q + (p/q) \cdot e^{-((p+q) \cdot t)}}}\]\)

where:

- N(t) represents the cumulative number of adopters at time \(t\).

- p is the innovation parameter, representing the coefficient of innovation.

- q is the imitation parameter, representing the coefficient of imitation.

- e is the base of the natural logarithm.

Given a population size of 67 million, an innovation parameter of 0.005, and an imitation parameter of 0.84 for Color TV, we can substitute these values into the Bass diffusion model and calculate the number of new users added during time period 7.

\(\[N(7) - N(6) = \frac{{p \cdot q}}{{q + (p/q) \cdot e^{-((p+q) \cdot 7)}}} - \frac{{p \cdot q}}{{q + (p/q) \cdot e^{-((p+q) \cdot 6)}}}\]\)

Substituting the given values into the equation:

\(\[N(7) - N(6) = \frac{{0.005 \cdot 0.84}}{{0.84 + (0.005/0.84) \cdot e^{-((0.005+0.84) \cdot 7)}}} - \frac{{0.005 \cdot 0.84}}{{0.84 + (0.005/0.84) \cdot e^{-((0.005+0.84) \cdot 6)}}}\]\)

Evaluating the expression will give us the estimated number of new users added during time period 7.

In LaTeX, the solution can be represented as:

\(\[N(7) - N(6) = \frac{{0.005 \cdot 0.84}}{{0.84 + (0.005/0.84) \cdot e^{-((0.005+0.84) \cdot 7)}}} - \frac{{0.005 \cdot 0.84}}{{0.84 + (0.005/0.84) \cdot e^{-((0.005+0.84) \cdot 6)}}}\]\)

After evaluating this expression, you will obtain the estimated number of new users added during time period 7.

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The correct answer is C. The Mode.

Data is the collection of data term that is organized and formatted in a specific way it's typically contains fact observation or statistics that are collected through a process of measurement or research data set can be used to answer question and help make informed decision they can be used in a variety of ways such as to identify trends on cover patterns and make prediction.

This measure of centre is most meaningful when the data is qualitative because it shows the value that appears most frequently in the data set. The mode can be used to identify the most popular item or most commonly occurring outcome. It is the only measure of centre that can be used for qualitative data, as the other measures (mean, median, and range) require numerical data.

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Answer:

Step-by-step explanation:

Answer:

1.) 1/7      2.) 3/ 21= 1/7

Step-by-step explanation:

these are some fractions that are equivalent

Answer:

3/7 and 1/7

Step-by-step explanation:

Answer:

  2.57

Step-by-step explanation:

The mean absolute deviation is the mean of the absolute values of the differences from the mean.

The mean of the dataset is the sum of values, divided by their number:

  mean = (20 +16 +21 +16 +22 +16 +15)/7 = 126/7 = 18

The absolute values of the differences from 18 will have an average of ...

  mean(|differences|) = (2 +2 +3 +2 +4 +2 +3)/7 = 18/7

  mad(data) ≈ 2.57

__

Additional comment

Some calculators have the mad( ) function built-in. See the second attachment, for example.

The Kermack and McKendrick model of an epidemic proposes that the population can be divided into three classes: healthy, sick, and dead. The total population remains constant in size, except for deaths due to the epidemic. The model is kxy, where k and l are positive constants. The equations are based on the assumptions that healthy people get sick at a rate proportional to the product of x and y, and sick people die at a constant rate l.

The given model consists of three variables: x(t), y(t), and z(t), representing the number of healthy, sick, and dead people, respectively, in a population. The model has two assumptions:

1. Healthy people get sick at a rate proportional to the product of x and y (kxy).
2. Sick people die at a constant rate l.

We are given the following system of equations:

dx/dt = -kxy
dy/dt = kxy - ly
dz/dt = ly

Now, our goal is to reduce this third-order system to a first-order system that can be analyzed by our methods.

First, we notice that the total population N is constant except for deaths due to the epidemic, so we have:

N = x(t) + y(t) + z(t)

Since the total population remains constant (ignoring deaths due to the epidemic), we have:

dN/dt = dx/dt + dy/dt + dz/dt = 0

Substituting the given equations into the equation above, we get:

(-kxy) + (kxy - ly) + ly = 0

Notice that the terms involving kxy and ly cancel each other out. As a result, the system of equations is already reduced to a first-order system:

dx/dt = -kxy
dy/dt = kxy - ly

Now you can analyze this first-order system using the appropriate methods for first-order differential equations.

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associative property

Step-by-step explanation:

Answer:

Associative Property

Step-by-step explanation:

Choose the person who asnwered before me as the brainliest, they deserve it more than I do because I just copied their answer for my own so I could complete the question for you. Thanks for choosing them! Have an amazing day!

By using the quadratic formula, we can conclude that the golf ball will hit the ground at x = 0.5 seconds.

What is the quadratic formula?

The quadratic formula is a formula that gives the solutions of a quadratic equation in the form \(ax^2 + bx + c = 0\), where a, b, and c are constants and x is the variable. The formula is:

x = (-b ± \(\sqrt{b^2 - 4ac}\)) / 2a

This formula can be used to find the values of x that satisfy the quadratic equation.

To find when the golf ball will hit the ground, we need to find the value of x when the height of the golf ball is equal to zero. We can do this by solving the quadratic equation \(-16x^2 + 11x + 6 = 0\) using the quadratic formula:

x = (-b ± \(\sqrt{b^2 - 4ac}\)) / 2a

where a = -16, b = 11, and c = 6. Substituting these values, we get:

x = (-11 ± \(\sqrt{11^2 - 4(-16)(6)}\) ) / 2(-16)

x = (-11 ±  \(\sqrt{361}\))/ (-32)

Simplifying this expression, we get:

x = (-11 ± 19) / (-32)

So the two possible values of x are:

x = 8/16 = 0.5 and x = 30/16 = 1.88

Since the height of the golf ball is equal to zero when it hits the ground, we can conclude that the golf ball will hit the ground at x = 0.5 seconds (rounded to the nearest hundredth).

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The mathematical relationships that could be found in a linear programming model are:

(a) −1A + 2B ≤ 60

(b) 2A − 2B = 80

(e) 1A + 1B = 3

Explanation:

Linear programming involves optimizing a linear objective function subject to linear constraints. In a linear programming model, the objective function and constraints must be linear.

(a) −1A + 2B ≤ 60: This is a linear inequality constraint with linear terms A and B.

(b) 2A − 2B = 80: This is a linear equation with linear terms A and B.

(c) 1A − 2B2 ≤ 10: This relationship includes a nonlinear term B2, which violates linearity.

(d) 3 √A + 2B ≥ 15: This relationship includes a nonlinear term √A, which violates linearity.

(e) 1A + 1B = 3: This is a linear equation with linear terms A and B.

(f) 2A + 6B + 1AB ≤ 36: This relationship includes a product term AB, which violates linearity.

Therefore, the correct options are (a), (b), and (e).

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The given vectors are linearly independent and are False. The vectors are linearly dependent

To determine whether the given vectors (1, 1, 0), (0, 2, 3) and (1, 2, 3) in R₃ are linearly independent, we need to check if there exist scalars (constants) such that a linear combination of these vectors equals the zero vector (0, 0, 0) with all components being zero.

In this case, we can set up the equation:

a(1, 1, 0) + b(0, 2, 3) + c(1, 2, 3) = (0, 0, 0)

Expanding the equation component-wise, we get:

(a + c, a + 2b + 2c, 3b + 3c) = (0, 0, 0)

This equation has non-trivial solutions (other than a = b = c = 0), we can set up an augmented matrix:

[1 0 1 | 0]

[1 2 2 | 0]

[0 3 3 | 0]

By row-reducing this matrix, we find:

[1 0 1 | 0]

[0 1 1 | 0]

[0 0 0 | 0]

From the row-reduced form, we see that the third row (0 0 0 | 0) implies that there are infinitely many solutions, indicating linear dependence among the vectors.

Therefore, the statement The given vectors are linearly independent is False. The vectors are linearly dependent.

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Answer:8.72

Step-by-step explanation:

26.16/3=8.72

Answer:

Cost per pound = $8.72

Step-by-step explanation:

Since Mrs. Thomas spent $26.16 for 3 pounds' worth of turkey, all you need to do is divide $26.16 by 3 to get the cost per pound.

$26.16 ÷ 3 pounds = $8.72 per pound of turkey

Answer:

similar pairs

Step-by-step explanation:

I hope you'll find this helpful

Answer:

24.

Step-by-step explanation:

The pattern is clearly going up by twos.

So continuing the pattern,

1, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24

1 2  3   4 5   6   7   8   9   10  11    12   13

The inequality that describes this scenario is 75 + 11.50S ≥ 55. This inequality represents a situation where someone has an initial balance of 75 dollars and is earning 11.50 dollars per hour of work.

The inequality states that the total earnings must be greater than or equal to 55 dollars. In other words, the person needs to work a certain number of hours to earn enough money to meet the 55-dollar requirement. This inequality can be solved for S (the number of hours worked) by subtracting 75 from both sides and dividing by 11.50. This would give the minimum number of hours required to meet the 55-dollar requirement. Overall, this inequality provides a clear guideline for the minimum amount of work needed to meet a specific financial goal.

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The correct answer for the equation is: solutions (2,0) and (5,3).

According to the question, the expression can be simplified by substituting the values in the expression:

Therefore the required expression can be written as:

(x = 2; y = 0) and (x = 5; y = 3)

\(y = x-2 = 2-2 =0\)

\(y = x-2 = 5-2 =3\)

Both the solutions satisfied the given expression.

(x = 2; y = 0) and (x = 5; y = 3)

\(y=x^{2} -6x+ 8 = 4 -12+8=0\)

\(y=x^{2} -6x+ 8 = 25 -30+8=3\)

Both the solutions satisfied the given expression.

Hence, the correct answer for the equation is: solutions (2,0) and (5,3).

What is simplification?

The word simplification is the procedure in which complicated expression can be written in a simpler form to make the calculation easy. This method is used to calculated the answers for the unknown quantity.

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Answer:

m < I = 44, m<G = 44, m<H = 77

Step-by-step explanation:

So triangle GHI is an isosceles triangle, meaning that the base angles theorem is applicable, (which states that the angles on either side of the base are congruent).

Knowing this, then;

m<I = m<G = 3x + 39

as given, m<H is 4x + 52,

as one knows, the sum of the angles in a triangle is 180 degrees so that means that;

m<I + m<G + m<H = 180

substitute,

3x + 39 + 3x + 39 + 4x + 52 = 180

combine like terms,

10x + 130 = 180

now use inverse operations,

10x = 50

x = 5

so just substitute the answer back in to find the angles.

m<I = 3x + 39

x = 5

3 * 5 + 39

= 15 + 39

= 44

m<I = m<G = 44

m<H = 4x + 52

x = 5

4 * 5 + 52

= 20 + 52

= 72

The associated z score for filling to 10.98 oz. is -1.16.

The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z = (x - μ) / σ

where x is the raw score, μ is the mean and σ is the standard deviation.

Given that μ = 12.01, σ = 0.89, hence:

For x = 10.98:

z = (10.98 - 12.01)/0.89 = -1.16

The associated z score for filling to 10.98 oz. is -1.16.

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That a full cut round brilliant diamond with a 6.50 mm girdle diameter typically weighs around 1.00 carat.

carat weight is determined by a combination of a diamond's size and density. A diamond's size is measured by its diameter, which is the distance across the widest part of the diamond, known as the girdle. Therefore, a diamond with a larger girdle diameter will generally weigh more than a diamond with a smaller diameter, assuming all other factors are equal.

the weight of a diamond can be estimated based on its girdle diameter, and a full-cut round brilliant diamond with a 6.50 mm girdle diameter typically weighs around 1.00 carat. However, it's important to note that other factors, such as depth, cut, and clarity, can also affect a diamond's weight and value.

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Developers determine the specifics of how to build a system in the design phase. b

The design phase and its importance:
Define Objectives:

The design phase begins after the completion of the analysis phase, where developers have gathered and evaluated requirements.

The main objective of the design phase is to create a blueprint for the system that addresses all identified requirements.
Create Architectural Design:

During this step, developers establish the overall structure of the system, including its components, their relationships, and the interactions between them.

This architectural design provides a high-level view of the system's organization.
Design System Components:

With the architectural design in place, developers focus on designing individual components or modules of the system. They create detailed specifications, which include the functionality, inputs, outputs, and processes for each component.
Design User Interface:

The user interface design involves creating a user-friendly and efficient way for end-users to interact with the system. This can include designing screen layouts, menus, buttons, and other interface elements.
Validate Design:

The final step in the design phase is to ensure that the proposed design meets all the requirements identified during the analysis phase.

Developers may use various methods, such as reviews and simulations, to validate their design before proceeding to the implementation phase.
The design phase is a crucial part of the system development process, as it defines how the system will be built, ensuring it meets the needs of its users and the project's objectives.

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The probability of incurring a loss when it rains is:P (loss | raining) = 80%So, there is a 20% chance that the food truck will not have incurred a loss when it rains.

The P (not raining | not loss) = 90% × 30% = 27%.Thus, the probability that it had not rained on that randomly selected day given that the food truck did not incur a loss is 27%.

The chance of not raining on a given day in Seattle can be calculated as follows:When it does not rain, there is a 10% probability that the food truck will incur a loss, as given in the statement. Similarly, when it rains, there is an 80% chance that the food truck will incur a loss on that day.

To calculate the probability that the food truck will not have incurred a loss on that day, we must first calculate the probability that the food truck will have incurred a loss on that day.Suppose the probability of rain is 70%, so the chance that it won't rain will be: P (not raining) = 100% - 70% = 30%When it rains, there is a 80% probability that the food truck will have incurred a loss, as given in the statement.

The probability of not incurring a loss when it does not rain is:P (not loss | not raining) = 100% - 10% = 90%The probability of not raining when the food truck does not incur a loss can be calculated as follows:P (not raining | not loss) = P (not loss | not raining) × P (not raining)P (not loss | not raining) = 90%P (not raining) = 30%

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