Working out must be shown.

A box plot is a graphical representation of data that is based on (c) a five number summary

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

Statement: a box plot is a graphical representation of data that is based on__

A box plot (also called a box-and-whisker plot) is a way to display the distribution of a dataset.

It shows the median, quartiles, minimum, and maximum values of the data.

These items are referred to as the five number summary

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In a post office, the mailboxes are numbered from 1 to 4,500. These numbers represent categorical data. The Option A is correct.

Categorical data refers to collection of data that is organized into categories. For instance, the data obtained when an organization or agency tries to collect the biodata of its employees is referred to as categorical data. Because the variables in the biodata, like sex, state of residence, etc., can be used to categorize the data, it is known as categorical data.

It is also regarded as a type of data that can be categorized or grouped using names or labels. Through a process known as matching, this grouping is typically created in accordance with the data characteristics and similarities of these characteristics.

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Answer:

F  = (9/5)C  + 32 is a function because every Celsius temperature is associated with only one Fahrenheit temperature.

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The required number line is typically drawn from left to right to show all of the possible solutions that make the inequality true.

A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.

Here,
The number line is typically drawn from left to right to show all of the possible solutions that make the inequality true.

The inequality may involve a variable x, and the number line would represent all possible values of x that satisfy the inequality. The solutions could be, for example, all values of x greater than 3, in which case the number line would start at 3 and extend to the right to represent all values of x greater than 3. Alternatively, the solutions could be all values of x less than or equal to -2, in which case the number line would start at -2 and extend to the left to represent all values of x less than or equal to -2.

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Answer:

3 miles

Step-by-step explanation:

1/8*24=3

Answer:

Step-by-step explanation:

He ran 24 times around the track1

Circumfrence of track=1/8 Mile

Total distance he covered=1/8*24

Distance = 3 miles

What is Midsegment Theorem ?

The Midsegment Theorem, also known as the Midline Theorem or the Triangle Midsegment Theorem, states that the segment connecting the midpoints of two sides of a triangle is parallel to the third side and is half its length.

Explanation:
Here is the complete flowchart with the missing statements and reasons filled in:

Statement 1: Measure of angle ADE is 68 degrees.

Reason 1: Given.

Statement 2: Measure of angle DAE is 90 degrees.

Reason 2: Definition of right angle.

Statement 3: Measure of angle AED is 22 degrees.

Reason 3: Angle sum of triangle ADE is 180 degrees.

Statement 4: Segment DE joins the midpoints of segment AB and AC.

Reason 4: Given.

Statement 5: Segment DE is parallel to segment BC.

Reason 5: Midsegment theorem.

Statement 6: Angle ECB is congruent to angle AED.

Reason 6: Corresponding angles formed by parallel lines.

Statement 7: Measure of angle ECB is 22 degrees.

Reason 7: Substitution property.

So, statements 3 and 6, and reasons 3 and 6, respectively, can be used to fill in the blank spaces numbered 3 and 6, and statement 5 and reason 5 can be used to fill in the blank spaces numbered 4 and 5. Finally, statement 7 and reason 7 can be used to fill in the blank space numbered 7.

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110 in binary is equal to 6 as decimal.

Let's say you have a number in base 2 (binary) that you want to convert to decimal. The number is 110.

To convert this to decimal, you would use the following formula:

decimal equivalent = [tex](d_n * base^n) + (d_n-1 * base^(n-1)) + ... + (d_1 * base^1) + (d_0 * base^0)[/tex]

where:

[tex]d_n, d_n-1, ..., d_1, d_0[/tex] are the digits of the number

base is the base of the number system (in this case, 2 for binary)

n is the number of digits in the number minus 1

Using this formula,

we can convert 110 in binary to decimal as follows:

decimal equivalent = [tex](1 * 2^2) + (1 * 2^1) + (0 * 2^0)[/tex]

= 4 + 2 + 0

= 6

Therefore, 110 in binary is equal to 6 in decimal.

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The value of  1 qt  is 32 fluid ounces(oz).

A fluid ounce is a unit of volume in both the imperial system of units and the US customary system of units. But the two measures are not exactly the same: an imperial fluid ounce is 1/160 of an imperial gallon, or 1/20 of a pint, or 8 fluid drams, about 1,73

cubic meters or 28.

130625 milliliters. This amount of water weighs almost 1 avoirdupois ounce (that is the volume  one ounce occupies at 62°F (16.7°C) when weighed in air with brass weights). See all onc conversions  here.

1 qt is equal to 32 oz

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Answer:

$18.27 an hour

Step-by-step explanation:

To figure out how much $38,000 a year is as an hourly wage, divide $38,000 by 40 hours and 52 weeks. So if you were to work full-time, 40 hours a week, making $38,000 a year, you would earn $18.27 an hour.

Binary to text conversion is the process of translating binary code, which is a series of 0s and 1s, into human-readable text. This process is necessary because computers use binary code to represent data, while humans use text.

To convert binary code to text, the binary code is first grouped into 8-bit groups called bytes. Each byte can represent a single character in the ASCII (American Standard Code for Information Interchange) character set, which includes letters, numbers, punctuation, and other symbols.

The binary code in each byte is then converted into its decimal equivalent, and the decimal value is looked up in the ASCII table to determine the corresponding character. This process is repeated for each byte in the binary code to produce the final text output.

Overall, binary to text conversion is an important process that allows humans to read and interpret data that is represented in binary code by computers.

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Therefore , the solution of the given problem of parallelograms comes out to be ∠y = 62 degree.

A simple square with two sets of equal intervals is referred to as a parallelogram in Euclidean geometry. The opposite ends of a parallelogram, a special type of quadrilateral, were both straight and equal. There are four distinct parallelogram types, and two of them are exclusive of one another. The four different shapes are rhombuses, equilateral triangles, triangles, and rectangles. A quadrilateral is a parallelogram if it has two pairs of parallel sides.

Here,

Given :

A  parallelogram ABCD and a triangle AED

So,

To find angle y:

∠D + 118 = 180

=> ∠D = 180 -118

=>∠D= 62 Degree

So,

According to alternate interior angle :

∠D= ∠y

=> 62 = ∠y

Thus ,∠y = 62 degree.

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x² −20x+100

Explanation

You have to factor the expression in order to get your answer.

Do this by expanding out the expression: (x-10)(x-10).

Then factor by multiplying each of the components! Use the FOIL acronym to help you. FOIL stands for First, Outer, Inner, Last. Meaning multiply the first numbers of the expressions together, then the outers, then the inner two numbers, then the last two numbers of the expression.

Multiply x and x to get x² multiply x and -10 to get -10x, multiply -10 and x to get -10x, multiply -10 and -10 to get 100. Add them all together: x² −10x−10x+100 . Then combine like terms.

here.

Answer:

The numbers are -3, -2, and -1.

Step-by-step explanation:

Consecutive numbers are numbers that go in counting order from smallest to largest.

To solve, let x represent the first number, x + 1 the second number, and x + 2 the third number. When added together, the sum of these three numbers is -6.

x + (x + 1) + (x + 2) = -6

3x + 3 = -6

3x = -9

x = -3

-3 + (-2) + (-1) = -6

The radical form of the exponential expression is given as follows:

[tex]\sqrt[4]{7}[/tex]

Hence the values of a and b are given as follows:

a = 7, b = 4.

The general format of the exponential expression is given as follows:

[tex]a^{\frac{n}{m}}[/tex]

To obtain the radical form, we have that:

Hence:

[tex]a^{\frac{n}{m}} = \sqrt[m]{a^n}[/tex]

Meaning that the equivalence for this problem is given as follows:

[tex]7^{\frac{1}{4}} = \sqrt[4]{7}[/tex]

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Answer: 7.5

Step-by-step explanation:

AREA OF TRIANGLE is (Base times Height) divided by two

SO,

2.5x6=15

15/2=7.5

BTW, I am on the same level- (level F) as you on Iready

Therefore , the solution of the given problem of linear equation comes out to be conan needs one more tube to put away the remaining 2 tennis balls.

A straightforward regression curve is created using the equation y=mx+b. The y-intercept is m, and the slope is B. The previous line is usually referred to as a "math equation mixing numerous variables," even though y / y represent independent components. Only two variables are present in bivariate linear equations. There are no known solutions to application issues involving linear equations.

Here,

We know that Conan has 5 tubes, and that 2 tennis balls are left unfilled. This means that he has already filled up 5 - 1 = 4 tubes.

Each tube can hold a certain number of tennis balls, so we need to know how many tennis balls each tube can hold. Once we know that, we can figure out how many tubes are needed to hold the remaining 2 tennis balls.

Let's say each tube can hold n tennis balls. Then, the 4 filled tubes have a total capacity of 4n tennis balls. We also know that there are 2 tennis balls left unfilled. Therefore, we can set up the following equation:

4n + 2 = 5n

Simplifying this equation, we get:

2 = n

So each tube can hold 2 tennis balls. Therefore, Conan needs one more tube to put away the remaining 2 tennis balls.

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Answer:

x ≤ - 5/3    

Step-by-step explanation:

Let the number be x

The sum of a number times 9 and 30 is at most 15 translates algebraically to

9x + 30 ≤ 15

Subtracting 30 both sides:
9x ≤ -15

Dividing by 9 both sides:
x ≤ - 15/9

or

x ≤ - 5/3    

The value which represents the converted value Celsius to Fahrenheit is 38 Celsius is equal to 100.4 Fahrenheit.

        Celsius and Fahrenheit .

Conversion relation between the units of the temperature is written as:

(°C × 9/5) + 32 =°F

Substitute the value 38 Celsius to convert it into Fahrenheit we get,

(38°C × 9/5) + 32

= ( 342 / 5 ) + 32

= ( 68.4 ) + 32

= 100.4°F

Therefore, the required converted value of the Celsius to Fahrenheit is given by 100.4 Fahrenheit.

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Answer:

Step-by-step explanation:

-2-6-20

The slope and the intercept are interpret as follows:

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

The variables for this problem are given as follows:

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Answer:

61

Step-by-step explanation:

the slope and y-intercept of the line of the fit equation through (0, 61) and (6, 91), which is given as $y=5x+61$.The slope is the rate at which one variable changes with respect to another variable. Here, the slope of the equation of the line of fit is 5, which means that for every additional hour spent studying, the test score will increase by 5. Thus, the slope of 5 shows a positive correlation between the hours spent studying and the test scores. A higher number of hours spent studying will likely result in a higher test score. The Y-intercept is the value of y when x=0. Here, the y-intercept of the equation of the line of fit is 61, which means that a student who does not study at all can still expect to score 61 on the test.

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Forming linear equations, the cost of a t-shirt and a notebook will be $1 and $6 respectively.

What is a linear equation, exactly?

When the greatest power of a variable is 1, the equation is said to be linear. Another term for it is a one-degree equation. The standard form of a linear equation with one variable is Ax + B = 0. There are three variables in this equation: x, A, and B. A denotes a coefficient. A linear equation with only two variables is commonly written as Ax + By = C. There are three more constants in addition to the constant C: the variables x and y, the coefficients A and B, and the variables.

Now,

Given that

club A sold 2 t-shirts and 3 notebooks, and made $20.

Club B sold 2 t-shirts and 1 notebook, for a total of $8.

Let x and y be the cost of t-shirt and notebook respectively

then 2x+3y=20--->1

and 2x+y=8 --->2  will be the equations formed.

Now subtracting 2 from 1

we get 2x-2x+3y-y=20-8

2y=12

y=6

then  2x+6=8

x=1

Hence,

          the cost of a t-shirt and a notebook will be $1 and $6 respectively.

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Answer:

24km

Step-by-step explanation:

15 min (jogging)

30 min (cycling)

3km/15 min (jogging)

1km/5min (jogging)

4km/5min (cycling)

30÷5= 6

4×6= 24km

Distance covered during riding is 24 km.

Speed of an object is defined as the rate of change of the distance travelled.

Here,

Speed is the distance travelled in a given time.

Total time given, t = 45 minutes

Time taken for jogging, t₁ = 15 minutes

So, time taken for riding, t₂ = t - t₁

t₂ = 45 - 15

t₂ = 30 minutes

Distance covered during jogging, d₁ = 3 km

Therefore speed of jogging, v₁ = d₁/t₁ = 3/15

v₁ = 0.2 km/min

So, speed of riding, v₂ = 4v₁ = 4 x 0.2

v₂ = 0.8 km/min

Therefore distance covered during riding, d₂ = v₂ x t₂

d₂ = 0.8 x 30

d₂ = 24 km

Hence,

Distance covered during riding is 24 km.

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Leslie used a total of 128 stones for the order.

Arithmetic operations is a branch of mathematics, that involves the study of numbers, the operation of numbers that are useful in all the other branches of mathematics.

It basically comprises operations such as Addition, Subtraction, Multiplication and Division.

The correct equation that represents how many stones were used for the order is:

total number of stones = number of bracelets x stones per bracelet

Let's use "s" to represent the total number of stones Leslie used for the order:

s = 8 x 16

s = 128

Hence, Leslie used a total of 128 stones for the order.

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The complex numbers calculators are Symbolab, Desmos, Wolfram Alpha etc.

There are many online calculators available for performing calculations involving complex numbers. Here are a few options :

Symbolab : Symbolab is a popular online math tool that includes a complex numbers calculator.

Desmos : Desmos is a powerful online graphing calculator that also includes support for complex numbers

Wolfram Alpha: Wolfram Alpha is a computational search engine that can perform a wide range of mathematical calculations, including those involving complex numbers

These are just a few options, but there are many other online calculators and resources available for performing calculations involving complex numbers.

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A trigonometric identities calculator is an online tool that helps you simplify or prove trigonometric identities using various trigonometric formulas and rules.

In mathematics, an equation is a statement that asserts the equality of two expressions. An equation contains one or more variables, which are unknown values that can vary or change. The variables are usually represented by letters such as x, y, or z. The expressions on either side of the equals sign can be constants, variables, or functions of variables.

The simplest form of an equation is a linear equation, which can be represented as ax + b = c, where a, b, and c are constants and x is a variable. To solve a linear equation, we need to find the value of the variable that makes the equation true. This is done by performing arithmetic operations on both sides of the equals sign to isolate the variable.

Equations can also be more complex, involving multiple variables, powers, and functions. In such cases, algebraic techniques such as factoring, substitution, and solving systems of equations may be required to find the solution.

Equations are used to describe relationships between variables in many fields of study, including physics, chemistry, economics, and engineering. They are also used in everyday life, such as in calculating the cost of a purchase after applying a discount, or determining the amount of time it takes to travel a certain distance

Trigonometric identities are equations that involve trigonometric functions and are true for all values of the variables involved. These identities are used to simplify expressions involving trigonometric functions, and can be helpful in solving trigonometric equations and evaluating trigonometric functions.

Trigonometric identities calculators can be helpful for students studying trigonometry, as well as for professionals who use trigonometric functions in their work. These calculators typically allow you to enter the trigonometric expression or equation you want to simplify or prove, and then apply various trigonometric identities and rules to arrive at the final result.

There are many online trigonometric identities calculators available that can be accessed for free, including some that provide step-by-step solutions to help you understand how the identities are being applied.

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The correct options for the inequality y ≥ -2x + 3 are:

Here we have the next inequality:

y ≥ -2x + 3

First, we can see that the symbol "≥" is used, then the points on the line are solutions, and thus, the line must be a solid line.

Also, y is larger or equal than that, so we need to shade the region above.

Finally, the line is y = -2x + 3

So the slope is -2 and the y-intercept is 3.

These are the characteristics of the inequality

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Since the given functions represent the cost for water and sewer separately, the total cost will be the sum of both.

For water usage, W(x) = 0.129x, where x is the number of 100-gallon units of water used. So, for 3800 gallons, we have:

W(x) = 0.129 * (3800/100) = $4.91 (rounded to the nearest cent)

For sewer usage, S(x) = 0.158x + 16.22, where x is the number of 100-gallon units of water used. So, for 3800 gallons, we have:

S(x) = 0.158 * (3800/100) + 16.22 = $21.12 (rounded to the nearest cent)

Therefore, the total amount a homeowner will pay for 3800 gallons of water and sewer usage for one month is:

Total cost = W(x) + S(x) = $4.91 + $21.12 = $26.03 (rounded to the nearest cent)

So, the closest answer choice is C. $27.13.

The left side of the function, can be simplified using trigonometric identities as follows;

csc²(x)·cos²(x) = csc²(x)·(1 - sin²(x)) = csc²(x) - 1

Trigonometric identities are equations that consists of trigonometric functions that are valid for the values of the input variable of the functions.

The specified trigonometric function is presented as follows;

csc²(x)·cos²(x) = csc²(x) - 1

cos²(x) = 1 - sin²(x)

Therefore;

csc²(x)·cos²(x) = csc²(x) × (1 - sin²(x)) = csc²(x) - csc²(x) × sin²(x)

csc²(x)·cos²(x) = csc²(x) - csc²(x) × sin²(x)

csc²(x) = 1/(sin²(x)), therefore;

csc²(x)·cos²(x) = csc²(x) - csc²(x) × sin²(x) = csc²(x) - (1/(sin²(x))) × sin²(x)

(1/(sin²(x))) × sin²(x) = sin²(x) × (1/(sin²(x))) = 1

csc²(x) - (1/(sin²(x))) × sin²(x) = csc²(x) - (1/(sin²(x))) × sin²(x) = csc²(x) - 1

csc²(x)·cos²(x) = csc²(x) - (1/(sin²(x))) × sin²(x) = csc²(x) - 1

Therefore;

csc²(x)·cos²(x) = csc²(x) - 1

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The relative retention of compound B with respect to compound A is 0.053.

The relative retention is defined as the ratio of the difference in retention times of two compounds (α) to the retention time of the first eluting compound (tr1):

α = (tr2 - tr1) / tr1

where tr2 is the retention time of the second compound.

In this case, compound A eluted at 12.63 min and compound B eluted at 13.30 min. The compound that is not retained by the stationary phase eluted at 1.145 min.

Therefore, tr1 = 1.145 min, tr2 = 13.30 min, and:

α = (13.30 - 12.63) / 12.63

α = 0.053

Therefore the relative retention of compound B with respect to compound A is 0.053.

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It would take 11.25 hours after leaving his house until the phone's battery level got down to 31.5%.

According  to given conditions :

To determine how many hours after leaving his house it would take until the phone's battery level got down to 31.5%, we need to use the information provided in the table to find the equation of the line that represents the relationship between B and t. We can then use this equation to solve for the value of t when B is 31.5%.

To find the equation of the line, we can use the two points (1.5, 38.25) and (9, 9). The slope of the line is:

slope = (B2 - B1) / (t2 - t1) = (9 - 38.25) / (9 - 1.5) = -29.25 / 7.5 = -3.9

The equation of the line in point-slope form is:

B - 38.25 = -3.9(t - 1.5)

Simplifying, we get:

B = -3.9t + 44.1

Now we can solve for the value of t when B is 31.5%. Setting B to 31.5% (or 0.315) and solving for t, we get:

0.315 = -3.9t + 44.1

-3.9t = -43.785

t = 11.25

Therefore, it would take 11.25 hours after leaving his house until the phone's battery level got down to 31.5%.

What is percentage ?

A percentage is a number or ratio expressed as a fraction of 100. The symbol used to represent percentages is "%". Percentages are used to compare values and express proportions. For example, if a group of 100 people includes 60 men and 40 women, we can say that the percentage of men in the group is 60%, and the percentage of women is 40%.

To calculate a percentage, we divide the value we want to express as a percentage by the total value, and then multiply by 100. For example, if we want to express 25 as a percentage of 100, we divide 25 by 100 to get 0.25, and then multiply by 100 to get 25%. Similarly, if we want to find what percentage of 200 is 50, we divide 50 by 200 to get 0.25, and then multiply by 100 to get 25%.

Percentages are used in many different fields, including finance, science, and statistics, as well as everyday life. For example, we might use percentages to calculate the amount of tax on a purchase, to compare the results of scientific experiments, or to track the progress of a fundraising campaign.

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