The number of people in a movie theater. Identify the set of numbers that best describes the situation. Explain your choice.

The volume of the remaining piece of ice cube is 6911.5 cubic cm

From the question, we have the following parameters that can be used in our computation:

The figure

Where, we have

Radius, r = 20/2  = 10 cm

Height, h = 33 cm

The volume of the remaining piece is calculated is

V = 2/3πr²h

Substitute the known values in the above equation, so, we have the following representation

V = 2/3 * 22/7 * 10² * 33

Evaluate

V = 6911.5

Hence, the volume of the remaining piece is 6911.5 cubic cm

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Answer:

son2: 5

son1: 10

Step-by-step explanation:

2x (son1) + x (son2) + 35 (mother) + 3 (years)*3 (people) = 59

3x = 15

x = 5

The age of each boy at present will be 2 years and 3 years.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Let the age of the sons will be x and y.

A mother who is 35 years old has two sons, one of whom is twice as old as the other. Then the equation will be

x = 2y

In 3 years, the sum of all their ages will be 59 years. Then the equation will be

x + y + x + 1 + y + 1 + x + 2 + y + 2 + 35 = 59

Simplify the equation, we have

3x + 3y + 41 = 59

      6y + 3y = 59 – 41

              9y = 18

                y = 2

Then the value of x will be

x = 2y

x = 2(2)

x = 4

Thus, the age of each boy at present will be 2 years and 3 years.

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To use logistic regression with a categorical dependent variable, at least one independent variable must be measured at the nominal or ordinal level.

Logistic regression is a statistical model used to predict categorical outcomes, typically binary outcomes (e.g., yes/no, success/failure). The dependent variable in logistic regression is categorical, representing different categories or classes. To predict this categorical outcome, independent variables (also known as predictors or features) are used. These independent variables can be of various types, such as continuous, ordinal, or nominal.

However, to properly apply logistic regression, it is necessary to have at least one independent variable that is measured at the nominal or ordinal level. This is because logistic regression models are designed to handle categorical data, and having such variables allows for the estimation of probabilities and the prediction of class membership based on the given independent variables.

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The ground-state electron configuration for vanadium (Z = 23) is: 1s² 2s² 2p⁶ 3s² 3p⁶ 4s² 3d³.

The element vanadium (Z = 23) has 23 electrons. To determine its ground-state electron configuration, we need to distribute these electrons among the available energy levels and orbitals according to the Aufbau principle, Pauli exclusion principle, and Hund's rule.

The electron configuration for vanadium (V) can be determined as follows:

1s² 2s² 2p⁶ 3s² 3p⁶ 4s² 3d³

Let's break it down step by step:

1s²: This indicates the 1s orbital is filled with 2 electrons.

2s² 2p⁶: This indicates the 2s and 2p orbitals are filled with a total of 8 electrons.

3s² 3p⁶: This indicates the 3s and 3p orbitals are filled with a total of 8 electrons.

4s²: This indicates the 4s orbital is filled with 2 electrons.

3d³: This indicates the 3d orbital is partially filled with 3 electrons.

Combining all the electron configurations, we get:

1s² 2s² 2p⁶ 3s² 3p⁶ 4s² 3d³

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Answer:

k and l....................

A circle graph (also known as a pie chart) would be the best graphical representation for the teacher's data on student preferences.

what is  circle graph ?

A circle graph, also known as a pie chart, is a circular chart divided into sectors, each representing  proportion of the whole. The size of each sector corresponds to the proportion of the data it represents.

In the given question,

A circle graph (also known as a pie chart) would be the best graphical representation for the teacher's data on student preferences.

A circle graph is a circular chart divided into sectors, each representing a proportion of the whole. In this case, the whole would represent the total number of students surveyed (100), and each sector would represent the proportion of students who preferred a particular subject.

This type of graph is useful when you want to show how a whole is divided into its component parts, and it can help to easily identify the most popular subject preferred by the students.

Stem-and-leaf plots and histograms are useful for showing the distribution of numerical data, while box plots are useful for comparing groups of numerical data. However, since the teacher is interested in the subject preferences of students, a circle graph would be the most appropriate choice.

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The number of books taken by each student is 6.

Average is defined as the ratio of the sum of the number of the data sets to the total number of the data. The average actually determines the middle value of the data.

Given that the total number of books checked out of the library at your high school is 14,400 and the student population is about 2400.

The average is calculated by dividing the sum of the total number of items by the total counts of the items.

Average = 14400 / 2400

Average = 6

Therefore, the number of books taken by each student is 6.

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The characteristic of an experiment where the binomial probability distribution is applicable is that exactly two outcomes are possible on each trial.

What is the binomial probability distribution?

The binomial probability distribution is a probability model that is used to evaluate the probability of having an exact number of successes in a particular number of independent trials that have two possible outcomes (success and failure).

The characteristics of an experiment where the binomial probability distribution is applicable are as follows: It is an experiment that comprises a set of trials with a fixed number of independent trials.

It has only two outcomes, namely success and failure. The trials are independent of each other.

The probability of success is constant for each trial of the experiment.

The binomial distribution has a discrete set of outcomes. Each of these outcomes is measured by a single random variable that takes on only one of two possible values. Exactly two outcomes are possible on each trial. The experiment is a random variable that can be counted by counting the number of successes (X) in n trials.

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Here's a more detailed explanation: To determine if a graph is a function, you can use the vertical line test. The vertical line test states that if you can draw a vertical line that intersects the graph in more than one place, then the graph is not a function.

Determining whether a graph represents a function is an important concept in mathematics, especially in algebra and calculus. A function is a set of ordered pairs where each input is associated with exactly one output.

So, if you take a ruler or a straight edge and place it vertically on the graph, and it intersects the graph in two or more points, then the graph is not a function. This is because if two points in the graph have the same x-value, they must have different y-values, since functions can only have one output for each input.

On the other hand, if you place a vertical line anywhere on the graph and it intersects the graph in only one point, then the graph is a function.

It's also important to remember that a function must also pass the horizontal line test, which means that no horizontal line can intersect the graph in more than one place.

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The frequently used strategic approach to setting a company apart from rivals and achieving a sustainable competitive advantage which is not included among the options is: simply trying to mimic the successful strategies of rivals.An effective strategy is needed for companies to achieve their goals, which includes setting themselves apart from their rivals and achieving a competitive edge. There are different strategic approaches that companies use in order to achieve this.

Some of the strategic approaches are;Outcompeting rivals on the basis of such differentiating features as higher quality, wider product selection, added performance, better service, or more attractive styling.Focusing on a narrow market niche and winning a competitive edge by doing a better job than rivals of satisfying the needs and tastes of buyers comprising the niche.Aiming for a cost-based competitive advantage.

However, one of the strategic approaches to setting a company apart from rivals and achieving a sustainable competitive advantage that is not frequently used is simply trying to mimic the successful strategies of rivals.Therefore, option B is the correct answer to the question.Meanwhile, a company's strategy evolves over time due to some basic reasons which include:the need to respond to the actions and competitive moves of rival firms,the proactive efforts of company managers to improve the company's financial performance and secure a competitive advantage,an ongoing need to abandon those strategy features that are no longer working well.

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The expression for the nth term an, for the infinite series s=∑n=1[infinity]an is ∑n=4¹⁶an = 468

We know that the sum of the first n terms of the series is given by sn. Therefore, we can find an expression for the nth term an by taking the difference between successive values of sn:

sn - sn-1 = an

(4-4n²) - (4-4(n-1)²) = an

Simplifying this expression, we get:

an = 8n - 4

Now we can use this expression to find the values of ∑n=1¹⁰an and ∑n=4¹⁶an:

∑n=1¹⁰an = a1 + a2 + ... + a10

= (81 - 4) + (82 - 4) + ... + (8*10 - 4)

= 76

Therefore, ∑n=1¹⁰an = 76.

Similarly,

∑n=4¹⁶an = a4 + a5 + ... + a16

= (84 - 4) + (85 - 4) + ... + (8*16 - 4)

= 468

Therefore, ∑n=4¹⁶an = 468.

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Answer:

-1/2

Step-by-step explanation:

Answer:

cx

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Total for Likes Burritos: 70

Does not like burritos: 81

Total for does not like hamburgers: 95

I don't fully know if it's right because I got help from someone else

A confidence interval is made from a Sample statistic to estimate the truth for a Population parameter.

What do you mean by confidence interval?

A confidence interval is a range of estimates for an unknown parameter in frequentist statistics. The 95% confidence level is the most popular, however other levels, such 90% or 99%, are occasionally used when computing confidence intervals.

The formula of the confidence interval,

\(CI = \bar{x} \pm z \frac{s}{\sqrt{n}}\)

According to the given question,

We have the statement on the confidence interval in given question in the form of fill ups as,

A confidence interval is made from a __________ to estimate the truth for a ______________.

Therefore, the correct fill in the blanks are:

A confidence interval is made from a Sample statistic to estimate the truth for a Population parameter.

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The overall main text structure of "How Archaeologists Found the Lost City of Troy" is best described as a description. The Option D is correct.

This article titted "How Archaeologists Found the Lost City of Troy" is focused on providing a detailed description of how archaeologists were able to locate the ancient city of Troy.

The author uses descriptive language and provides a chronological account of the excavation process as well as detailing the various methods and techniques used by archaeologists to uncover the city's remains.

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Answer:

\(the \: scale \: is \: 2.5 \\ 4 \times 2.5 = 10 \\ \\ so \\ y = 6 \times 2.5 = 15 \\ x = 7 \times 2.5 = 17.5\)

Step-by-step explanation:

I hope that is useful for you

Answer: 32w

Step-by-step explanation:

Answer:

7.$95 8. $112.50

Step-by-step explanation:

7.

50 divided by 100 is 0.5, then times by 90 is 45.

45 plus 50 is 95.

8.

$150/4=$37.50

$150-$37.50=$112.50

Answer:

41%

Step-by-step explanation:

The volume of the aquarium is:

V = l × w × h

V = 13 in × 5 in × 4 in

V = 260 cubic inches

The volume of water in the aquarium is given as 153 cubic inches. Therefore, the volume of empty space in the aquarium is:

260 - 153 = 107 cubic inches

To find the percentage of the aquarium that is empty, we can divide the volume of empty space by the total volume and multiply by 100:

Empty space percentage = (Volume of empty space / Total volume) × 100

Empty space percentage = (107 / 260) × 100

Empty space percentage ≈ 41%

Therefore, the aquarium is approximately 41% empty.

Answer:

24 square feet

Step-by-step explanation:

There are four "triangles" of the rhombus. If you find the area of each triangle by multiplying the height by the width and dividing by two, you get 6. You then multiply that by 4 to get 24.

Answer:

(6, -4)

Step-by-step explanation:

you do the x axis first and then the y axis.

The coordinates of the point of the grid with the dot placed in the fourth quadrant is; (-4, 6)

We are told that there is a coordinate grid with a dot placed in the fourth quadrant.

Now, the dot is to the left of negative 4 on the y-axis and below positive 6 on the x-axis. This means that the coordinate of the point will be -4, 6.

Thus, we can conclude that the coordinate of the given point of the dot is (-4, 6).

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Answer:

2(x+3)=x-4

2x+6=x-4

2x-x=-4-6

x=-10

The capitalized cost for the solid waste treatment plant, based on a 6% MARR, is approximately $579 million.

To calculate the capitalized cost for the solid waste treatment plant, we need to determine the present value of all the costs over the project's lifespan.

The costs involved in the project are as follows:

Initial installation cost: $35 million.

Minor repair and renovation (R&R) after 10 years: $14 million.

Major R&R after 20 years: $18 million.

Operating and maintenance (O&M) costs each year, increasing at a compound rate of 6% per year.

First, let's calculate the present value of the O&M costs over the 20-year period: Using the TVM Factor Table calculator, the present value factor for a 6% MARR and 20 years is 10.206.

The total O&M costs over 20 years can be calculated as follows: O&M costs for the first year: $3 million. O&M costs for the subsequent years: $3 million * (1 + 0.06) + $3 million * (1 + 0.06)^2 + ... + $3 million * (1 + 0.06)^19.

Using the formula for the sum of a geometric series, the O&M costs over the 20-year period can be calculated as: O&M costs = $3 million * (1 - (1 + 0.06)^20) / (1 - (1 + 0.06)) = $3 million * (1 - 1.418519) / (-0.06) = $3 million * (-0.418519) / (-0.06) = $2.91038 million.

Now, let's calculate the present value of the costs: Present value of the initial installation cost: $35 million.

Present value of the minor R&R cost after 10 years: $14 million * 10.206 (present value factor for 6% MARR and 10 years) = $142.884 million. Present value of the major R&R cost after 20 years: $18 million * 10.206^2 (present value factor for 6% MARR and 20 years) = $371.001 million.

Present value of the O&M costs: $2.91038 million * 10.206 = $29.721 million. Finally, the capitalized cost of the solid waste treatment plant is the sum of all the present values: Capitalized cost = $35 million + $142.884 million + $371.001 million + $29.721 million = $578.606 million.

Rounding the final answer to the nearest whole number, the capitalized cost for the solid waste treatment plant is $579 million.

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The complete question is:

A new solid waste treatment plant is to be constructed in Washington County. The initial installation will cost $35 million (M). After 10 years, minor repair and renovation (R&R) will occur at a cost of $14M will be required; after 20 years, a major R&R costing $18M will be required. The investment pattern will repeat every 20 years. Each year during the 20 -year period, operating and maintenance (O\&M) costs will occur. The first year, O\&M costs will total $3M. Thereafter, O\&M costs will increase at a compound rate of 6% per year. Based on a 6% MARR, what is the capitalized cost for the solid waste treatment plant? Click here to access the TVM Factor Table calculator. $ Carry all interim calculations to 5 decimal places and then round your final answer to a whole number. The tolerance is ±25,000.

The area of the regular octagon inscribed in a circle with a radius of 16 feet can be found using the formula A = (2 + 2sqrt(2))r^2, where r is the radius of the circle. Plugging in the value for r, we get:

A = (2 + 2sqrt(2))(16)^2

A = (2 + 2sqrt(2))(256)

A = 660.254 ft^2

Therefore, the area of the regular octagon is approximately 660.254 square feet.

To derive the formula for the area of a regular octagon inscribed in a circle, we can divide the octagon into eight congruent isosceles triangles, each with a base of length r and two congruent angles of 22.5 degrees. The height of each triangle can be found using the sine function, which gives us h = r * sin(22.5). Since there are eight of these triangles, the area of the octagon can be found by multiplying the area of one of the triangles by 8, which gives us:

A = 8 * (1/2)bh

A = 8 * (1/2)(r)(r*sin(22.5))

A = 4r^2sin(22.5)

We can simplify this expression using the double angle formula for sine, which gives us:

A = 4r^2sin(45)/2

A = (2 + 2sqrt(2))r^2

Therefore, the formula for the area of a regular octagon inscribed in a circle is A = (2 + 2sqrt(2))r^2.

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The measure of length PQ will be 22 units.

A triangle's third side is stated to be parallel to the line segment uniting its two midpoints, and it is also half as long as the third side.

Given:

PQ = 5x + 62, and MN = 6x-4

Now, using Mid- Point Theorem

PQ= 1/2 MN

-5x+ 62 = 1/2( 6x - 4)

-5x+ 62 = 3x - 2

-5x- 3x = -2 - 62

-8x = -64

x= 8

PQ= 5x+ 62 = -5(8) + 62 = -40 + 62 = 22

Hence, the measure of PQ is 22 units.

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The option that would give the estimated volume of the Pyramid of Giza is = \(\frac{53,000 . 150 }{3}\)

A pyramid is a 3-dimensional shape that is made up of a polygonal base and 4 triangular faces. The 4 triangular faces are joined at a vertex. Types of pyramids include a square pyramid, rectangle pyramid, triangle pyramid.

The volume of a pyramid is the amount of space that is a three-dimensional shape.

Volume of a pyramid = 1/3 x (base area x height)

1/3 x (53,000. 150)

= \(\frac{53,000 . 150 }{3}\)

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Answer:

what is P'Q'R'S

Step-by-step explanation:

Answer:

she bought 5 or less than 5 bracelets .

Explanation:

Let bracelets be b,

cost of total bracelets: 3b

inequality:

Answer:

15 + 3b ≤ 30

Kayla can buy no more than 5 bangle bracelets

Step-by-step explanation:

Let b = number of bangle bracelets

If Kayla bought a necklace for $15, some bangle bracelets for $3 each, and spent no more than $30:

15 + 3b ≤ 30

To solve:

15 + 3b ≤ 30

Subtract 15 from both sides:

⇒ 3b ≤ 15

Divide both sides by 3:

⇒ b ≤ 5

So Kayla can buy no more than 5 bangle bracelets