Theodore and Sarah have a small business selling custom-made T-shirts. They currently sell 205 shirts per month and charge $15 per T-shirt. Sarah thinks they can increase their revenue by increasing their selling price, but Theodore knows from experience that each $1 increase in price will decrease the number of T-shirts they sell by 9 shirts per month. Find an expression for the total monthly revenue Theodore and Sarah's business can generate if they change the selling price of their T-shirts. Let x represent the number of $1 increases in the price of the T-shirts.

A table that could be used to graph a piece of the function include the following: D. table D.

In Mathematics and Geometry, a piecewise-defined function is a type of function that is defined by two (2) or more mathematical expressions over a specific domain.

Generally speaking, the domain of any piecewise-defined function simply refers to the union of all of its sub-domains.

Since the domains of this piecewise-defined function are 0 ≤ x ≤ 40 and 40 ≤ x ≤ 200, we can reasonably infer and logically deduce that only table D can be used to graph a piece of the piecewise-defined function;

-3/8(x) + 75 = 60

75 - 60 = 3x/8

120 = 3x

x = 120/3

x = 40.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

3 units down

Step-by-step explanation:

got it right on edg

1. The probability that all four of the calls result in a reservation is calculated by multiplying the individual probabilities together since the events are assumed to be independent. Therefore, the probability is 0.31^4 = 0.0303 (approximately).

The probability that at least one of the calls does not result in a reservation can be found by calculating the complement of the probability that all four calls result in a reservation. Since these events are mutually exclusive, we can subtract the probability of all reservations from 1. So, the probability is 1 - 0.0303 = 0.9697 (approximately).

To calculate the probability of all four calls resulting in a reservation, we multiply the individual probabilities together because the events are assumed to be independent. With a probability of 0.31 for each call, the calculation becomes 0.31^4, which equals approximately 0.0303.

For the probability of at least one call not resulting in a reservation, we find the complement of the probability that all four calls do result in a reservation. Since these events are mutually exclusive (either a reservation is made or not made for each call), we subtract the probability of all reservations (0.0303) from 1, resulting in approximately 0.9697.

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Answer:

Option A is the correct

Step-by-step explanation:

a=d+c/b

Now we have to solve for d

Multiplying b on both sides

a*b=d+c/b*b

ab=d+c

ab-c=d

I hope this will help you:)

Answer:

Speed of vehicle = 500 km/hour

Step-by-step explanation:

Given that:

Distance travel by vehicle = 6,500 km

Time taken by vehicle = 13 hour  

Find:

Speed of vehicle in kilometer per hour

Computation:

Speed = Distance / Time

Speed of vehicle = Distance travel by vehicle / Time taken by vehicle

Speed of vehicle = 6,500 / 13

Speed of vehicle = 500 kilometer per hour

A. The probability that one selected subcomponent is longer than 122 cm can be found by calculating the area under the normal distribution curve to the right of 122 cm. We can use the z-score formula to standardize the value and then look up the corresponding probability in the standard normal distribution table.

z = (122 - μ) / σ = (122 - 100) / 5.6 = 3.93 (approx.)

Looking up the corresponding probability for a z-score of 3.93 in the standard normal distribution table, we find that it is approximately 0.9999. Therefore, the probability that one selected subcomponent is longer than 122 cm is approximately 0.9999 or 99.99%.

B. To find the probability that the mean length of three randomly selected subcomponents exceeds 122 cm, we need to consider the distribution of the sample mean. Since the sample size is 3 and the subcomponent lengths are normally distributed, the distribution of the sample mean will also be normal.

The mean of the sample mean will still be the same as the population mean, which is 100 cm. However, the standard deviation of the sample mean (also known as the standard error) will be the population standard deviation divided by the square root of the sample size.

Standard error = σ / √n = 5.6 / √3 ≈ 3.24 cm

Now we can calculate the z-score for a mean length of 122 cm:

z = (122 - μ) / standard error = (122 - 100) / 3.24 ≈ 6.79 (approx.)

Again, looking up the corresponding probability for a z-score of 6.79 in the standard normal distribution table, we find that it is extremely close to 1. Therefore, the probability that the mean length of three randomly selected subcomponents exceeds 122 cm is very close to 1 or 100%.

C. If we want to find the probability that all three randomly selected subcomponents have lengths exceeding 122 cm, we can use the probability from Part A and raise it to the power of the sample size since we need all three subcomponents to satisfy the condition.

Probability = (0.9999)^3 ≈ 0.9997

Therefore, the probability that if three subcomponents are randomly selected, all three of them have lengths that exceed 122 cm is approximately 0.9997 or 99.97%.

Based on the given information about the normal distribution of subcomponent lengths, we calculated the probabilities for different scenarios. We found that the probability of selecting a subcomponent longer than 122 cm is very high at 99.99%. Similarly, the probability of the mean length of three subcomponents exceeding 122 cm is also very high at 100%. Finally, the probability that all three randomly selected subcomponents have lengths exceeding 122 cm is approximately 99.97%. These probabilities provide insights into the performance of the automatic machine in terms of producing longer subcomponents.

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To estimate the number of baskets the player can make if he is standing ten feet from the net, we can use the best-fit line or regression line based on the given data.

The best-fit line represents the relationship between the distance from the net and the number of baskets made. Assuming we have the data points plotted on a scatter plot, we can determine the equation of the best-fit line using regression analysis. The equation will have the form y = mx + b, where y represents the number of baskets made, x represents the distance from the net, m represents the slope of the line, and b represents the y-intercept.

Once we have the equation, we can substitute the distance of ten feet into the equation to estimate the number of baskets the player can make. Since the specific data points or the equation of the best-fit line are not provided in the question, it is not possible to determine the exact estimate for the number of baskets made at ten feet. However, if you provide the data or the equation of the best-fit line, I would be able to assist you in making the estimation.

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Answer:

D, because it just has 4 times more squares

The price of the article tomorrow will be #4.95.

If an article cost #5 yesterday and has risen by 10% today, it will now cost #5.50. To calculate the price tomorrow, we need to consider that the price will fall by 10%.

To do this, we can first calculate what 10% of #5.50 is, which is #0.55. This means that the price will fall by #0.55 tomorrow, bringing the price down to #4.95.

Therefore, the price of the article tomorrow will be #4.95. This calculation highlights the importance of understanding the impact of percentage changes on prices and how they can impact the overall cost. It also demonstrates the need for individuals to be aware of such changes when making financial decisions.

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Based on the given information, the solid figure described is a pyramid.

We have,

A pyramid is a three-dimensional geometric shape that has a polygonal base and triangular faces that converge to a single point called the apex.

In the case described, the pyramid has four triangular faces, indicating that its base is a triangle.

Since a triangle has three sides, and there are four triangular faces, the pyramid has a total of 8 edges.

The triangular faces of the pyramid meet at the apex, forming a point at the top.

The base of the pyramid is a polygon, and in this case, it is a triangle.

The remaining three faces are also triangles that connect each of the edges of the base to the apex.

Therefore,

Based on the given information, the solid figure described is a pyramid.

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Answer: yes because you are flying for 420 minutes

Step-by-step explanation:

3.5x2=7

7 hours=420 minutes

Answer:

x=2 y=-4

Step-by-step explanation:

-2x=y

-x-6x=-14

-7x=-14

x=2

Within-groups design compares the same subjects across time. In this design, participants are measured or observed on multiple occasions, such as before and after an intervention or at different time points.

The purpose of the within-groups design is to examine changes within individuals over time, allowing researchers to assess the impact of an intervention or the natural progression of a phenomenon within the same group of subjects.

By comparing the same subjects across time, within-groups designs help to control for individual differences and increase the internal validity of the study.

This design allows researchers to evaluate the effectiveness of an intervention by assessing changes within individuals and determining if those changes are statistically significant.

It also allows for a more precise assessment of the impact of an intervention or the stability of a phenomenon over time.

Within-groups designs are commonly used in fields such as psychology, education, and medicine to study changes in behavior, cognition, or health outcomes.

They provide valuable insights into individual responses to interventions or the natural course of development or disease progression within a specific group of subjects.

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Answer:

2/3 < y < 6

Step-by-step explanation:

So what we want to do is get the equation to become just y surrounded by the gereater than signs. So we have 3y-4 and we first add 4 to all numbers. We now 2 < 3y < 18. WE can divide everything by 3 to get 2/3 < y < 6.

Answer:

power = work/ time

2hrs = 60×2 seconds = 120s

power = 1987/120

= 16.5 watt

Answer:

-147 because -21x7 equals -147

Step-by-step explanation:

In a multiple regression model, the error term (often denoted as ε or e) is assumed to be a random variable with a mean of zero.

This assumption is a key component of the regression model and is often referred to as the assumption of zero conditional mean or the assumption of homoscedasticity. The assumption of a mean of zero for the error term means that, on average, the errors have no systematic bias or tendency to overestimate or underestimate the predicted values. It implies that the model's predictions are unbiased and that any deviations from the true values are due to random chance or other factors not captured by the model. The other options presented in the answer choices (B) -1, (C) 1, and (D) any value are incorrect. The mean of the error term is specifically assumed to be zero, as it represents the average deviation of the observed values from the predicted values in the model.

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Answer : \(\boxed{(2x + 5 ) (2x - 5)}\)

\(4x^2-25\)

Rewrite \(4x^2\) as \((2^x)^2\).

\((2x)^2 - 5^2\)

Rewrite \((2x)^2\) as \(5^2\).

\((2x)^2 - 5^2\)

Since both terms are perfect squares, factor using the difference of squares formula, \(a^2 - b^2 = ( a + b ) ( a - b )\) where \(a = 2x\) and \(b = 5\).

\((2x + 5 ) (2x - 5)\)

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Have a great day/night!

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The volume of the frustum is 149.33π cubic cm.

A cone is a shape created by connecting the points on a circular base to a common point, known as the apex or vertex, using a series of line segments or lines.

To calculate the volume of the frustum of a cone, we can use the formula:

V = (1/3)πh(R² + r² + Rr)

Where:

- V is the volume of the frustum

- h is the height of the frustum

- R is the radius of the bottom base

- r is the radius of the top base

In this case, the height of the frustum is 4 cm, the radius of the bottom base is 8/2 = 4 cm, and the radius of the top base is 16/2 = 8 cm. Therefore, we have:

V = (1/3)π(4)(8² + 4² + 4(8))

V = (1/3)π(4)(64 + 16 + 32)

V = (1/3)π(4)(112)

V = (4/3)π(112)

V = 149.33π cubic cm (rounded to two decimal places)

Therefore, the volume of the frustum is 149.33π cubic cm.

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Answer:

Step-by-step explanation:

Minimum: 2

Quartile Q1: 4.5

Median: 10

Quartile Q3: 15

Maximum: 19

The option C, 3(5X - 8) is equivalent to the polynomial 15X-24.

A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables. An example of a polynomial of a single indeterminate x is x² − 4x + 7.

An expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Given expression is, \(15X-24\)

which is \(= (3 \times 5 \times X) + (3 \times 8)\)

Here, taking out 3 in common, results in:

\(= 3 \times (5X - 8)\)

\(= 3(5X-8) \text{ - Option C}\)

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Below is the answer

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Answer:

46

Step-by-step explanation:

20+13+14+21+18=86

86+46=132

132 divided by 6=22

Based on the given information, the cost per ounce of the 16 oz jar and the 12 oz jar is not provided. Therefore, it is not possible to determine which jar of mayonnaise Sigmund should buy.

In order to compare the cost of the two jars of mayonnaise and determine which one Sigmund should buy, we need to know the price per ounce for each jar. Without this information, we cannot make a conclusive decision.

The cost per ounce is essential because it allows us to compare the prices accurately. For example, if the 16 oz jar costs $3 and the 12 oz jar costs $2.50, we can calculate the cost per ounce for each jar. The cost per ounce for the 16 oz jar would be $3 divided by 16 oz, which is $0.1875 per ounce. Similarly, the cost per ounce for the 12 oz jar would be $2.50 divided by 12 oz, which is approximately $0.2083 per ounce.

With this information, we can determine that the 16 oz jar is more cost-effective as it has a lower cost per ounce compared to the 12 oz jar. However, without the specific prices per ounce provided in the given information, it is impossible to determine which jar of mayonnaise Sigmund should buy.

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To make a table of values for a linear relationship;

Choose a group of x values before creating the table. Add each x value from the left side column to the equation. Evaluate the equation (middle column) to arrive at the y value

Given,

Linear relationship;

A straight-line link between two variables is referred to statistically as a linear relationship (or linear association). Linear relationships can be represented graphically or mathematically as the equation y = mx + b.

Here,

We have to make a table of values for a linear relationship;

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step by step have no idea but it's a

Answer:

The answer is 0.02

The average rate of change in the number of living wage jobs from 1997 to 1999 and from 1999 to 2001 can be determined using the given data. The average rate of change of the population of Town 1 and Town 2 over different time intervals is also provided. Based on these answers, we can evaluate whether the mayor from the last two years should be reelected.

To calculate the average rate of change in the number of living wage jobs from 1997 to 1999, we subtract the number of jobs in 1997 from the number of jobs in 1999 and divide by the number of years (2). This gives us the average rate of change in jobs per year during that period. Similarly, we calculate the average rate of change in the number of living wage jobs from 1999 to 2001 by subtracting the number of jobs in 1999 from the number of jobs in 2001 and dividing by the number of years (2).

To determine the average rate of change of the population of Town 1 and Town 2 over different time intervals, we subtract the population at the beginning of the interval from the population at the end of the interval and divide by the number of years in the interval.

Based on these average rate of change values, we can evaluate whether the mayor from the last two years should be reelected. This decision would depend on various factors, including the direction and magnitude of the changes, the overall performance of the mayor in other areas, and the specific needs and expectations of the community.

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