In rectangle ABCD
triangle ABE is equilateral
triangle CDE is isosceles, with CE = DE
Work out the size of angle x.
Your final answer must say, x =

The value representing the lower quartile of the data is given as follows:

17.5.

From left to right, the five features of the box and whisker plot are listed as follows

For the plot described in this problem, the features are given as follows:

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Using the arithmetic operations it is obtained that Russell ran 4 miles through his neighborhood every day after school.

To solve this problem, we can use the following equation -

total distance = distance per day x number of days

We know that Russell ran 2 miles around the football field before school every day.

Using multiplication,

Therefore, his total distance for the week from running around the football field is -

2 miles/day × 5 days = 10 miles

We also know that Russell ran a longer route through his neighborhood after school every day.

Let's call the distance of this route "x" miles.

Russell ran this route 5 times during the week, so his total distance from running through his neighborhood is -

Use multiplication,

x miles/day × 5 days = 5x miles

Finally, we know that Russell's total distance for the week was 30 miles. We can set up the equation -

Use addition,

10 miles + 5x miles = 30 miles

Simplifying, we get -

5x miles = 20 miles

x = 4 miles

Therefore, the distance value is obtained as 4 miles.

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Values of the variable are as follows:

V = 20

R = 28

X = 48

We can determine how much of one quantity is in the other by comparing two amounts of the same units and finding the ratio. Ratios can be divided into two groups. The part to whole ratio is one, and the part-to-part ratio is another. The part-to-part ratio illustrates the relationship between two separate entities or groupings.

In the questions given,

The ratios of the sides of the first triangle = 36/18

= 2/1 or 2:1

Now in the second triangle, V/10 = 2/1

⇒ V = 20

In the second question in case of the squares,

the ratios of the sides = 13/13 = 1:1

So, the value of R = 28

Now in the last question,

The ratio of the rectangle's sides is 6:2. = 3/1 o 3:1

So, 144/X = 3/1

⇒ X = 144/3

= 48

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Answer:

Radius = 8.5 cm (one decimal place)

Step-by-step explanation:

Answer:15cm

Step-by-step explanation:

Answer:84%

Step-by-step explanation:because of the process of elimanation

As a result, after five years, the business makes $102.10 per hour of work performed by men.

The gains that a company makes are its earnings. They are obtained by deducting revenue from cost of products sold, running costs, and taxes. The creation and ongoing running of a company are primarily motivated by the desire to generate profits. Dividend payments to stockholders can then be made with the earnings.

If the factory earned $80 per man-hour of labor when it opened, and each year earns an additional 5% per man-hour, we can calculate the earnings for any given year using the formula:

E = $80 × (1 + r)ⁿ

where E is the earnings per man-hour, r is the annual rate of increase (5% = 0.05), and n is the number of years since the factory opened.

For example, if we want to find the earnings per man-hour after 3 years, we would plug in n=3:

E = $80 × (1 + 0.05)³

E = $80 × 1.157625

E = $92.61

Therefore, after 3 years, the factory earns $92.61 per man-hour of labor.

Similarly, if we want to find the earnings per man-hour after 5 years, we would plug in n=5:

E = $80 × (1 + 0.05)⁵

E = $80 × 1.276282

E = $102.10

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The correct question is:

A factory earned $80 per man-hour of labor when it opened Each year, the factory earns an additional 5% per man-hour

The decimal calculation for Arturo's is 18.97, Bonnie's is 20.51, Courtney's is 31.42, Dawson's is 35.00.

Measurement is the process of assigning a numerical value to a physical quantity, such as length, weight, temperature, or time. Measurements are used to quantify and compare different aspects of the world around us, and they play a crucial role in many areas of science, engineering, and everyday life.

Measurements can be made using a variety of tools and techniques, ranging from simple rulers and scales to sophisticated scientific instruments. The accuracy and precision of a measurement depend on many factors, including the quality of the measuring instrument, the skill of the person making the measurement, and the conditions under which the measurement is taken.

In order for measurements to be meaningful and useful, they must be expressed in units that are well-defined and universally accepted. The International System of Units (SI) is the most widely used system of units in the world, and it is based on seven fundamental units of measurement, including the meter for length, the kilogram for mass, the second for time, and the kelvin for temperature.

Student           Measurement (yards)    Decimal Calculation

Arturo           6√28                            18.97

Bonnie           8√17                            20.51

Courtney   10π                            31.42

Dawson           3.5√100                    35.00

To calculate the decimals, we can use a calculator to evaluate the square roots and π, and then multiply by the given constant factor, and round the result to the nearest hundredth yard.

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The complete question is:

Sarah fell behind 3 meters each lap.

What is Total distance?

Whole distance refers to the actual travel distance between the origin and destination locations of the item.

If Sarah was 15 meters behind Anna when Anna finished the race, and they both ran the same distance, we can divide the total distance by the number of laps they ran to find the distance they ran per lap:

Total distance = 5 laps

Distance per lap = total distance / number of laps = 5 laps / 1 = 5

So Sarah and Anna each ran 5 meters per lap. If Sarah fell behind the same number of meters during each lap, we can use a negative integer to describe the distance she fell behind each lap. The distance she fell behind each lap is:

-3 meters (since 3 meters + 3 meters + 3 meters + 3 meters + 3 meters = 15 meters, which is the distance by which she was behind when Anna finished the race).

Therefore, Sarah fell behind 3 meters each lap.

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The total surface area of the building block is therefore (4×l×w) + (2×(b×h)/2), which is equal to (2×l×w) + bh.

Surface area is the total exposed area of a three-dimensional object, including the object's base area and lateral area. It is the area of the surface or outer boundary of an object and is measured in units squared such as square meters or square centimeters. Surface area is an important concept in mathematics, physics, and engineering, as it is used to calculate the amount of material needed to construct an object.

The total surface area of the building block can be found by adding the area of the six faces of the block together. To calculate the surface area of the block, we first need to find the area of each face. The six faces of the building block are four rectangular faces and two triangular faces. The area of each rectangular face can be found using the formula A=l×w, where l is the length and w is the width. The area of each triangular face can be found using the formula A=(b×h)/2, where b is the base and h is the height.

By adding the area of each face together, the total surface area of the building block can be found. The total surface area is equal to the sum of the four rectangular faces plus the two triangular faces. The total surface area of the building block is therefore (4×l×w) + (2×(b×h)/2), which is equal to (2×l×w) + bh.

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Answer:

36 divided by 6 = 6

Step-by-step explanation:

The required sample sizes are given as follows:

a) Previous estimate of 0.52: n = 1839.

b) No previous estimate: n = 1842.

A confidence interval of proportions has the bounds given by the rule presented as follows:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which the variables used to calculated these bounds are listed as follows:

The confidence level is of 99%, hence the critical value z is the value of Z that has a p-value of 0.995, so the critical value is z = 2.575.

The margin of error is given as follows:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

For an estimate of 0.52, the parameters are given as follows:

[tex]M = 0.03, \pi = 0.52[/tex]

Hence the sample size is obtained as follows:

[tex]0.03 = 2.575\sqrt{\frac{0.52(0.48)}{n}}[/tex]

[tex]0.03\sqrt{n} = 2.575\sqrt{0.52 \times 0.48}[/tex]

[tex]\sqrt{n} = \frac{2.575\sqrt{0.52 \times 0.48}}{0.03}[/tex]

[tex](\sqrt{n})^2 = \left(\frac{2.575\sqrt{0.52 \times 0.48}}{0.03}\right)^2[/tex]

n = 1839.

Without a previous estimate, the sample size is given as follows:

[tex]0.03 = 2.575\sqrt{\frac{0.5(0.4)}{n}}[/tex]

[tex]0.03\sqrt{n} = 2.575\sqrt{0.5 \times 0.5}[/tex]

[tex]\sqrt{n} = \frac{2.575\sqrt{0.5 \times 0.5}}{0.03}[/tex]

[tex](\sqrt{n})^2 = \left(\frac{2.575\sqrt{0.52 \times 0.5}}{0.03}\right)^2[/tex]

n = 1842.

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In the given situation, one snack bar has 14 carbohydrates.

Let's denote the number of carbs in one snack bar as "x".

From the given information, we can set up a system of two equations:

2x + 3y = 73 (where y is the number of carbs in one glass of milk)

4x + 2y = 86

We can then solve for x by using elimination or substitution.

Using elimination, we can multiply the first equation by 2 and subtract it from the second equation:

4x + 2y = 86

(4x + 6y = 146) (2 times the first equation)

-4y = -60

Dividing both sides by -4, we get:

y = 15

Substituting this value of y into the first equation, we can solve for x:

2x + 3y = 73

2x + 3(15) = 73

2x + 45 = 73

2x = 28

x = 14

Therefore, there are 14 carbs in one snack bar.

Step-by-step explanation:

Let's start by defining some variables to represent the unknowns in the problem:

Let x be the number of carbohydrates in one snack bar.

Now, we can use the given information to set up a system of equations:

2x + 3y = 73 (where y is the number of carbohydrates in one glass of milk)

2y + 4x = 86

We have two equations and two unknowns, so we can solve for x and y using any method we prefer. Here, we will use the substitution method:

Rearrange the first equation to solve for y: y = (73 - 2x)/3

Substitute this expression for y in the second equation: 2((73 - 2x)/3) + 4x = 86

Simplify: (146 - 4x)/3 + 4x = 86

Multiply both sides by 3 to eliminate the fraction: 146 - 4x + 12x = 258

Simplify: 8x = 112

Solve for x: x = 14

Therefore, one snack bar has 14 carbohydrates.

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In the given situation, one snack bar has 14 carbohydrates.

Let's denote the number of carbs in one snack bar as "x".

From the given information, we can set up a system of two equations:

2x + 3y = 73 (where y is the number of carbs in one glass of milk)

4x + 2y = 86

We can then solve for x by using elimination or substitution.

Using elimination, we can multiply the first equation by 2 and subtract it from the second equation:

4x + 2y = 86

(4x + 6y = 146) (2 times the first equation)

-4y = -60

Dividing both sides by -4, we get:

y = 15

Substituting this value of y into the first equation, we can solve for x:

2x + 3y = 73

2x + 3(15) = 73

2x + 45 = 73

2x = 28

x = 14

Therefore, there are 14 carbs in one snack bar.

Let's start by defining some variables to represent the unknowns in the problem:

Let x be the number of carbohydrates in one snack bar.

Now, we can use the given information to set up a system of equations:

2x + 3y = 73 (where y is the number of carbohydrates in one glass of milk)

2y + 4x = 86

We have two equations and two unknowns, so we can solve for x and y using any method we prefer. Here, we will use the substitution method:

Rearrange the first equation to solve for y: y = (73 - 2x)/3

Substitute this expression for y in the second equation: 2((73 - 2x)/3) + 4x = 86

Simplify: (146 - 4x)/3 + 4x = 86

Multiply both sides by 3 to eliminate the fraction: 146 - 4x + 12x = 258

Simplify: 8x = 112

Solve for x: x = 14

Therefore, one snack bar has 14 carbohydrates.

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Answer:

10 points

Step-by-step explanation:

· The team was penalized 30 points in 3 plays.

· Suppose the team was penalized an equal number of yards each play.

To find the supposed amount of points for each penalty, find the unit rate.

Total points ÷ Total Plays

30 ÷ 3

10 points

Answer:

Substituting the given values of y in the inequality y > 23:

When y = 20, 20 is not greater than 23, so it's not a solution.

When y = 23, 23 is not greater than 23, so it's not a solution (it's equal).

When y = 25.1, 25.1 is greater than 23, so it's a solution.

When y = 35, 35 is greater than 23, so it's also a solution.

Therefore, the solutions of the inequality are y = 25.1 and y = 35.

Answer: Cylinders and Cones don't have a vertex or vertices.

Step-by-step explanation: I had the same question and got it right.

Have a good day! <3

Marginal cost refers to the additional cost of producing one more unit of a product or service.

Marginal cost is the cost of producing one additional unit of a good or service.

In math, marginal cost refers to the additional cost of producing one more unit of a product or service. It is calculated by taking the change in total cost divided by the change in quantity produced.

Marginal cost is an important concept in economics and is used to determine the optimal level of production to maximize profits.

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Answer:

[tex]c+13 > 78[/tex]

Step-by-step explanation:

[tex]c+13 > 78[/tex]

They must collect over 78 coats. They already have 13 so they must either add that to the amount they still need to collect or subtract it from the number they're trying to beat.

The true proportion of all adults in the United States who exercise on a regular basis is between 0.384 and 0.493 with 90% confidence interval.

To construct a confidence interval for the proportion of all adults in the United States who exercise on a regular basis, we can use the formula:

CI = p ± z√(p(1-p)/n)

where:

p = proportion of the sample who exercise on a regular basis

n = sample size

z = z-score from the standard normal distribution corresponding to the desired level of confidence

Here, p = 82/187 = 0.4385 and n = 187.

A standard normal distribution table or calculator, or use the following formula:

z = invNorm((1 + C)/2)

where:

C = confidence level (expressed as a decimal)

invNorm() = inverse normal distribution function

For a 90% confidence level, C = 0.90, so:

z = invNorm((1 + 0.90)/2) = invNorm(0.95) ≈ 1.645

Substituting in the values, we get:

CI = 0.4385 ± 1.645√(0.4385(1-0.4385)/187) ≈ 0.384, 0.493

Therefore, we can say with 90% confidence that the true proportion of all adults in the United States who exercise on a regular basis is between 0.384 and 0.493, rounded to three decimal places.

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So, by resolving the given, we obtain the result: The probability value for probability this ranges from 0 to 1 inclusive.

Calculating the chance that an event will occur or a statement will be true is the subject of probability theory, a branch of mathematics. A risk is a number between 0 and 1, where 1 denotes certainty and a probability of about 0 denotes the likelihood that an event will occur. The likelihood that an event will take place is mathematically expressed as probability. Probabilities can also be expressed as percentages ranging from 0% to 100% or as integers between 0 and 1. the proportion of equally plausible possibilities that actually happen in relation to all possible outcomes when a certain event occurs.

It is necessary to divide the number of desired outcomes by the total number of potential outcomes in order to describe the specified degree of possibility as a probability value between 0 and 1 inclusive.

When the likelihood of a thunderstorm is expressed as "4 in 19," it suggests that out of the 19 potential outcomes, 4 of them (a thunderstorm) are desirable (weather conditions).

Hence, the likelihood of a thunderstorm is represented as:

4/19

The probability value for this ranges from 0 to 1 inclusive.

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The minute and second equivalent to [tex]13\frac{5}{10}[/tex] minutes is, 13 minutes 30 seconds.

A clock can be thought of as a circle having 12 steps and we know that circle is 360°,

So, the measure of each integer step of a clock is 30°.

We know, 1 minute is equal to 60 seconds.

Converting the mixed fraction into an improper fraction we have,

[tex]13\frac{5}{10} = \frac{135}{10}[/tex] minutes which is equal to,

[tex]\frac{135}{10}\times60[/tex] seconds.

= 810 seconds.

= 60×13 + 30 seconds.

= 13 minutes 30 seconds.

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Answer:

No

Step-by-step explanation:

from Pythagoras theorem, if the triangle is right angled square of largest side should be equal to sum of the squares of smaller two sides. the square of largest side is 18^2= 324  

9^2=81 and the last side is 17^2= 289

81+ 289= 370

This triangle is NOT a right triangle.

Keisha rated 92% of the movies she watched as very good.

To find the percentage of movies that Keisha rated as very good, we can use the formula:

Percentage = (Number of movies rated as very good / Total number of movies watched) x 100%

Plugging in the values we have:

Percentage = (46 / 50) x 100%

Percentage = 92%

Therefore, Keisha rated 92% of the movies she watched as very good.

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Answer:

Step-by-step explanation:

Let x be the cost of each book bag. Then, we can set up the following equation based on the information given:

4x + 4.99 = 95.65

Here, 4x represents the cost of the four identical book bags, and 4.99 is the flat rate for shipping. We add them up to get the total cost of $95.65.

To solve for x, we can first subtract 4.99 from both sides of the equation to isolate the term 4x on the left-hand side:

4x = 90.66

Then, we can divide both sides of the equation by 4 to solve for x:

x = 22.67

Therefore, each book bag costs $22.67.

Answer:[tex]\frac{1}{8}[/tex]<[tex]\frac{3}{20}[/tex]

Step-by-step explanation:

The probability of both independent events A and B happening together is P(A n B) = 0.1.

What is meant by probability?

An event's probability is a numerical representation of how likely it is that the event will take place. In mathematical notation, it is written as a number between 0 and 1, or as a percentage between 0% and 100%. The higher an event's probability, the more likely it is to occur. In a sample space, there is a probability of 1 for each event. The probability formula states that the ratio between the number of favourable outcomes and the total number of outcomes determines the likelihood that an event will occur. Sets are used in the terminology of probability theory. A set is a grouping of various things.

Given,

Probability of A, P(A) = 0.2

Probability of B, P(B) = 0.4

P(A U B) = 0.5

We are asked to find  P(A n B)

Now we know,

P(A U B) = P(A) + P(B) -  P(A n B)

Then,

P(A n B) = P(A) + P(B) - P(A U B)  = 0.2 + 0.4 - 0.5 = 0.1

Therefore the probability of both independent events A and B happening together is P(A n B) = 0.1.

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The First and Fifth statement is correct.

A number which can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

The Survey of randomly-selected students on a campus of 1,000 students conducted who preferred coffee to tea.

Here, The sample proportion is found to be 59%.

We have to find out which statement is true.

Since, the sample statement is 59% .

Hence, It is on every 100 students, 59 students prefer coffee over tea.

Thus, The first statement is 590 students must prefer coffee to tea is true.

And, Second statement is Less than 590 students must prefer coffee to tea is false .

And, The third statement is More than 590 students must prefer coffee to tea is also false.

And, The fourth statement is,

The sample proportion which must precisely the entire population’s choice is also wrong because we conduct the survey only on students but population contains adults, child and aged peoples so we can't clearly make a conclusion that it is a entire populations choice. So this statement is also false.

And, The fifth statement is the population proportion is not necessarily equal to the sample proportion is true because from the fourth statement it is clear the above survey is only conducted for the college students so it is not equal for population proportion.

Hence, the First and Fifth statement is correct.

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A survey of randomly-selected students on a campus of 1,000 students asked who preferred coffee to tea. The sample proportion is found to be 59%. Which statement is true? 590 students must prefer coffee to tea. Less than 590 students must prefer coffee to tea. More than 590 students must prefer coffee to tea. The sample proportion must precisely represent the entire population’s choice. The population proportion is not necessarily equal to the sample proportion.

The correct answer is f(m)=5230(1.015)m12.

A function is a self-contained block of code that takes inputs, performs specific operations on those inputs, and produces an output. It is a subprogram that performs a specific task, and helps to break down larger programs into smaller, more manageable pieces. Functions are also reusable, meaning that once a function is written, it can be used over and over again in different places in the program.

This function can be used to represent the student enrollment m months after the study began, as it takes into consideration the number of years (t) represented by the number of months (m) and incorporates it into the equation. The equation multiplies the number of months (m) by 12 to convert it into the number of years (t) used in the original equation, f(t)=5230(1.015)t. This ensures that the correct student enrollment is calculated based on the number of months since the study began.

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Therefore, the prime trinomials are: 5x² + 4x + 4 and 5x² – 8x + 2.

A polynomial is a mathematical expression that consists of variables, coefficients, and exponents, combined using the operations of addition, subtraction, and multiplication. Polynomials are widely used in mathematics and other fields to model a wide range of phenomena and processes. In a polynomial, the variables are usually represented by letters such as x, y, or z, while the coefficients are numbers that multiply the variables. The exponents indicate the power to which each variable is raised.

Here,

To determine which trinomials are prime, we need to factor each trinomial and check if it can be factored further into linear factors with integer coefficients. If a trinomial can be factored further, then it is not prime. On the other hand, if a trinomial cannot be factored further, then it is prime.

Let's factor each trinomial and see which ones are prime:

x² + 11x + 18

This trinomial can be factored into (x + 2)(x + 9), so it is not prime.

x²  + 11x + 18

This trinomial can be factored into (x + 2)(x + 9), so it is not prime.

x² – 3x – 2

This trinomial can be factored into (x – 2)(x + 1), so it is not prime.

x²  – 3x – 2

This trinomial can be factored into (x – 2)(x + 1), so it is not prime.

5x² + 4x + 4

This trinomial cannot be factored further, so it is prime.

5x² – 8x + 2

This trinomial cannot be factored further, so it is prime.

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"China has the highest steel output of all producers shown as of 2009, with 50 tonnes produced per US million ($) GDP." is correct statement .

A graph, which typically takes the shape of a diagram outlining the connection between various variables, is a visual representation of data in mathematics. Graphs can be used to depict a variety of mathematical functions, such as linear, quadratic, or incremental functions, as well as to display statistical data, including such bar graphs, graph, and pie charts. In order to clearly and concisely illustrate and evaluate data, graphs are frequently used in a variety of disciplines, including mathematics, science, engineering, economics, and social sciences.

given

The statement that best describes the facts is:

"China has the highest steel output of all producers shown as of 2009, with 50 tonnes produced per US million ($) GDP."

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