Is this a domain or range?

please help :(

Answer:

Answer:

6+2x >32

2x>32-6

2x>26

divide both sides by 2

therefore, x>13

Step-by-step explanation:

this is because x don't has a negative sign or is on the other side

Answer:

Height = 5meters

Step-by-step explanation:

Using the formula h= v over 3.14r^2 = 141.3 over 3.14 times 3^2 gives us 4.99747 meters.

Answer:

16

Step-by-step explanation:

The angle shown there is an example of a vertical angle. An opposite angle formed by intercecting lines. They are always congruent, so to solve this, you must set them equal to eachother. you can gather the equation 4x-5=59. From there, you just solve it like you would any two step equation.

The cumulative distribution function (CDF) for the number of sixes scored when two fair six-sided dice are thrown is as follows: 0 | 0, 1 | 1/36 , 2 | 5/36, 3 | 10/36, 4 | 15/36, 5 | 21/36, 6 | 25/36, 7 | 30/36, 8 | 35/36, 9 | 40/36, 10 | 45/36, 11 | 50/36, 12 | 55/36.

To construct the cumulative distribution function (CDF) for the given discrete random variables and create bar plots using R Studio, we will follow these steps for each variable: a) The number of sixes scored when two fair six-sided dice are thrown: The random variable can take values from 0 to 2, as there can be 0, 1, or 2 sixes scored. We calculate the probabilities for each outcome and then compute the cumulative probabilities. The CDF represents the cumulative probabilities for each value. We can use the "barplot" function in R Studio to create a bar plot representing the CDF. b) The number of heads when three fair coins are tossed: The random variable can take values from 0 to 3, as there can be 0, 1, 2, or 3 heads obtained. Similar to the previous case, we calculate the probabilities for each outcome and compute the cumulative probabilities. We use the "barplot" function in R Studio to generate a bar plot illustrating the CDF. By plotting the CDFs as bar plots, we can visualize the probabilities associated with each value of the random variable and observe how they accumulate as we move through the possible outcomes.

To know more about cumulative distribution function here : brainly.com/question/30402457

#SPJ11

The margin of error is approximately 0.3

To answer the question, we must figure out what margin of error corresponds to a 90% confidence level. The definition of the margin of error used to create confidence intervals for the population mean is as follows;

Mean = μ = 20.6

Standard deviation = σ = 2.7

Number of students = n = 225

the result of the sample mean's standard error and the accompanying z-score. The formula used to compute the sample mean's standard error is;

⇒  σ / √n

The z-score associated with a 90% confidence level:

From the given table z-score is 1.645

Therefore, the margin of error;

σ / √n * 1.645 = 2.7/√225 * 1.645

                      = 0.296

Hence, the margin of error is approximately 0.3

To learn more about z-score click here:

brainly.com/question/15016913

#SPJ4

Answer:

Approximately 0.3 of an error is allowed.

Given data in question

Confidentialevel=90%

Mean = μ = 20.6

2.7 as the standard deviation

N = 225 students are enrolled.

the outcome of the standard error of the sample mean and the corresponding z-score. The formula used to determine the standard error of the sample mean is;

⇒ σ / √n

The z-score for a 90% degree of confidence is:

Z-score for the provided table is 1.645.

Consequently, the error margin;

σ / √n * 1.645 = 2.7/√225 * 1.645

= 0.296

Consequently, the margin of error is roughly 0.3.

It would cost the company $165.81 if a sales representative drives 287 miles on a given day.

The daily cost C to the company can be represented by the linear equation:

C = 0.23x + 100

where x is the number of miles driven.

To find the cost for driving 287 miles, we substitute x = 287 into the equation:

C = 0.23(287) + 100

C = 65.81 + 100

C = 165.81

Therefore, it would cost the company $165.81 if a sales representative drives 287 miles on a given day.

To learn more about linear equation visit:

brainly.com/question/32634451

#SPJ11

Answer:

\(\textsf{1.} \quad 3x^2-4x+12\)

\(\textsf{2.} \quad 3x^2-8x+4\)

\(\textsf{3.} \quad 6x^3-8x+32\)

\(\textsf{4.} \quad \dfrac{3x^2-6x+8}{2x+4}\)

\(\textsf{5.} \quad 12x^2+36x+32\)

Step-by-step explanation:

Given functions:

\(\begin{cases}f(x)=3x^2-6x+8\\g(x)=2x+4\end{cases}\)

Function composition is an operation that takes two functions and produces a third function.

The composite function (f + g)(x) means to add function f(x) and g(x):

\(\begin{aligned}\implies (f+g)(x) & = f(x)+g(x)\\&=(3x^2-6x+8)+(2x+4)\\ &=3x^2-6x+2x+8+4\\ &=3x^2-4x+12\end{aligned}\)

The composite function (f - g)(x) means to subtract function g(x) from function f(x):

\(\begin{aligned}\implies (f-g)(x) & = f(x)-g(x)\\&=(3x^2-6x+8)-(2x+4)\\&=3x^2-6x+8-2x-4\\ &=3x^2-6x-2x+8-4\\ &=3x^2-8x+4\end{aligned}\)

The composite function f(x) · g(x) means to multiply functions f(x) and g(x):

\(\begin{aligned}\implies f(x)\cdot g(x) & =(3x^2-6x+8)(2x+4)\\ &=3x^2(2x+4)-6x(2x+4)+8(2x+4)\\&=6x^3+12x^2-12x^2-24x+16x+32\\&=6x^3-8x+32\end{aligned}\)

The composite function f(x)/g(x) means to divide function f(x) by function g(x):

\(\begin{aligned}\implies \dfrac{f(x)}{g(x)} & = \dfrac{3x^2-6x+8}{2x+4}\\\end{aligned}\)

The composite function f(g(x)) means to substitute the function g(x) in place of the x in function f(x):

\(\begin{aligned}\implies f(g(x))&=3(g(x))^2-6(g(x))+8\\&=3(2x+4)^2-6(2x+4)+8\\&=3(2x+4)(2x+4)-12x-24+8\\&=3(4x^2+16x+16)-12x-16\\&=12x^2+48x+48-12x-16\\&=12x^2+48x-12x+48-16\\&=12x^2+36x+32\end{aligned}\)

Learn more about composite functions here:

https://brainly.com/question/24538829

Answer:

skew right;

most of the data is on the left (the start)

Step-by-step explanation:

Observing the data distribution in the leaf plot given, we would see that most of the data are occuring at the start. This can be referred to as a positively skewed data. The tail of the distribution (the thin side) is to the right.

Therefore, the shape can be described as SKEW RIGHT.

From the arc length given radius yielded is 22.91 cm.

What is the arc length?

The primary angle:

40°

Arc size

20 cm

Recall the arc length formula.

\(l=(\frac{Theta}{360} )*(2\pi r)\)

Inserting the values:

20 =\(\frac{40}{360} *(2\pi r)\)

\(r=\frac{36(20)}{10\pi }\)

=72/π

=22.918cm the radius is.

Learn more about arc length here:

https://brainly.com/question/2005046

#SPJ4

The Microsoft Office package used to perform a statistical analysis is Excel. Therefore, the correct answer is option D.

Microsoft Office's Excel is a spreadsheet program that allows users to organize, calculate, and analyze data. It is often used for statistical analysis due to its built-in functions and tools, such as the ability to create charts and graphs, perform calculations, and use formulas.

Microsoft Office itself is a suite of productivity software that includes tools for creating and editing documents, spreadsheets, presentations, and more. The most commonly used applications in Microsoft Office are Word, Excel, PowerPoint, and Outlook. These tools are used by businesses, students, and individuals for a wide range of tasks, from writing reports and creating budgets to designing presentations and managing email.

Learn more about Microsoft Office at https://brainly.com/question/28522751

#SPJ11

There are 775200 possible committees with three women and three men from a club with 20 women and 17 men.

The number of ways to choose 3 women out of 20 is given by the combination formula:

C(20,3) = 20! / (3! * (20-3)!) = \(\frac{201918}{ (321)}\) = 1140

Similarly, the number of ways to choose three men from 17 men is:

C(17,3) = 17! / (3! * (17-3)!) = \(\frac{171615}{321}\) = 680

Therefore, the total number of possible committees with three women and three men is:

1140 * 680 = 775200

The combination formula, also known as the binomial coefficient formula, is a mathematical formula used to calculate the number of ways that k objects can be chosen from a set of n objects without regard to the order in which they are chosen. It is denoted by the symbol "n choose k" and is represented mathematically as "n choose k = n! / (k! * (n-k)!)".

The combination formula is commonly used in probability theory and statistics to calculate the number of ways that a certain outcome can occur. For example, if there are 10 people in a room and you want to choose 3 of them to form a committee, the combination formula can be used to calculate the number of possible committees that can be formed.

To learn more about combination visit here:

brainly.com/question/20211959

#SPJ4

7.2.....................................

Answer:

Im pretty sure the answer is 327.96

Step-by-step explanation:

Answer:

7m-8

Step-by-step explanation:

8 less means to subtract.

Product of 7 and m means to multiply.

You always do multiplication before subtraction (PEMDAS).

Answer:

Step-by-step explanation:

If x is an int and y is a float then only option that is not legal is D) x = (int) y.

Option A is legal because an int can be assigned to a float without any issues. The float will simply contain the same value as the int, but with a decimal point (e.g. 5 will become 5.0). Option B is not recommended because it involves converting a float to an int. The decimal point will be dropped, so information will be lost. However, it is still legal to do so. Option C is legal because it explicitly converts the int to a float, which can then be assigned to y. Option D is not legal because it involves converting a float to an int. This can lead to unexpected behavior, such as truncating the decimal point or rounding the value. It is generally safer to avoid such conversions. Option E is not correct because option D is not legal, as explained above.

For more questions like Equations visit the link below:

https://brainly.com/question/30698389

#SPJ11

The transient performance specifications of a system are often defined in terms of the damping ratio (ζ) and the natural frequency (wn). In this case, ζ is given as 0.5 and wn is given as 3 rad/s.

For a second-order system, the complex poles are given by: s = -ζwn ± jwn√(1-ζ^2). Using the given values, we can substitute ζ = 0.5 and wn = 3 rad/s into the equation: s = -0.53 ± j3√(1-0.5^2).  Simplifying the equation further: s = -1.5 ± j*2.598.

Therefore, the location of the closed-loop complex dominant poles for the system is at -1.5 ± j*2.598.

To learn more about damping ratio click here: brainly.com/question/20115234

#SPJ11

A)  sin A = 2√13 / 13

cos A = 3√13 / 13

tan A = 2/3

Answer:

i guess it is "All 4 angles are congruent " it is the statement which is false.

because " The opposite sides of a parallelogram are equal in measurement and they are parallel to each other. "

Hope it Helps!!!

Answer:

254

Step-by-step explanation:

This is basically a triangle, with a height of 2, and hypotenuse of 16.

Using the Pythagorean theorem (a^2+b^2=h^2) we can find the other side.

2^2+b^2=16^2

4+b^2=256

b^2=254

b=√254

(c) Because 10,000 is not between 8,100 and 9,000, it cannot be considered a fair estimate.

Having a rough estimate of something's worth, number, size, or extent is referred to as estimation in mathematics. When we are willing to accept a response that is very close to the true result, we utilize estimates of numbers to make mental computations simpler and faster.

Howie wants to determine the number of apples that can be picked from his grandfather's orchard.

Howie can pick 925 apples from each row.

There are 9 rows of trees in the orchard.

Therefore, the number of apples Howie is:

= 9 × 925

= 8325 apples

The number of apples is between 8000 and 9000.

Hence, 10,000 is not a reasonable estimate because it is not between 8,100 and 9,000.

Learn more about estimation here:

brainly.com/question/28416295

#SPJ1

Answer:

28, 31, 32, 35, 36.4, 36.4, 58, 59.6, 60, 76, 76, 88, 89, 90, 96, 99.7

Step-by-step explanation:

All the numbers are in order from least to greatest.

Answer:

I think it's the fourth option?

Step-by-step explanation:

Hope this is the right answer and helps!

Bryant Industries uses forecasting to estimate the number of orders that will be placed by their customers. The table below gives the sales figures for the last four months.Month2345Sales92491942004There are different forecasting techniques used by companies like Bryant Industries to predict future sales.

One of the most widely used methods is the time-series method. This method is particularly useful when the demand for a product or service changes over time and when there are no external factors that affect the sales. In this case, we can use a time-series method called the moving average to estimate future sales. The moving average is a time-series method that uses the average of past sales data to estimate future sales. It is particularly useful when there are no external factors that affect the sales. In this case, we can use a 3-month moving average to estimate future sales. The 3-month moving average is calculated as follows: (924 + 919 + 420) / 3 = 754.33. This means that we can expect sales of around 754 units next month. The moving average method is easy to use and is a good way to get a quick estimate of future sales. However, it has some limitations. For example, it does not take into account external factors that may affect sales, such as changes in the economy or in consumer behavior.

In conclusion, Bryant Industries can use the moving average method to estimate future sales. However, they should also consider other factors that may affect sales, such as changes in the economy or in consumer behavior. By doing so, they can make more accurate forecasts and improve their overall performance.

To learn more about time-series method visit:

brainly.com/question/32443421

#SPJ11

Answer:

The type of number that represents -4/2 is:

Choice B) Integer

Choice C) Rational

Step-by-step explanation:

The number -4/2 is an integer because it represents a whole number (-2) and it is also a rational number because it can be expressed as a fraction of two integers.

-4/2 is an :

Solution:

Before we make any decisions about the type of number -4/2 is, let's simplify it first.

It's the same as -2. Now, let's familiarize ourselves with the sets of numbers out there. Where does -2 fit in?

______________

This set incorporates only positive numbers and zero. So -2 doesn't belong here.

This set incorporates whole numbers and negative numbers. So -2 belongs here.

This set has integers, fractions, and decimals. So -2 does belong here too.

This is a set for numbers that cannot be written in fraction form (a/b, where b ≠ 0). So -2 doesn't belong here.

-4/2 belongs in the integer and rationals set.

Solution

For this case we can do the following:

he scale factor for a scale drawing is a ratio between two measures.

B. a ratio

And the reason is because when we multiply the scaled figure by this ratio we obtain the original figure

Answer:

m + p >= 100

m >= 40

p >= 10

Step-by-step explanation:

let m = number of mugs

let p = number of plates