The first To Answer Gets Brainliest!!!

Answer: Cry 8374629173

Step-by-step explanation: Cry like 2734295

∠6 and ∠8 are vertical angles.

∠2 and ∠7 are same side exterior angles

∠3 and ∠ 5 are alternate interior angles

∠1 and ∠2 are supplementary angles

Transversal angles are angles that are formed when a transversal line intersects two other lines in a plane. A transversal is a line that intersects two or more other lines, which are called the base lines.

When a transversal intersects two parallel lines, it creates eight angles. These angles can be classified into three types:

Corresponding angles: Pairs of angles that are on the same side of the transversal and in corresponding positions relative to the parallel lines. Corresponding angles are congruent when the parallel lines are cut by the transversal.

Alternate interior angles: Pairs of angles that are on opposite sides of the transversal and between the parallel lines. Alternate interior angles are congruent when the parallel lines are cut by the transversal.

Alternate exterior angles: Pairs of angles that are on opposite sides of the transversal and outside the parallel lines. Alternate exterior angles are congruent when the parallel lines are cut by the transversal.

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When changing the sign of the constant a from positive to negative, the domain remains the same. But the range changes.

A function's range is the set of all values it can accept, whereas its domain is the set of all values for which it is defined.

Consider the given function f(x)=a|x|. Let us consider "a" takes positive values that is [tex]a\geq0[/tex]. Then, the given function is defined as follows,

[tex]f(x)=\begin{cases}a(x)=ax}\; &x\geq0\\{a(-x)=-ax\;&x < 0\end{cases}[/tex]

Then, the domain will be [tex]\text{domain}=\mathbb{R}\{(-\infty, \infty)[/tex] and the range will be given as [tex]\text{Range} = \text{only non-negative real numbers} = \mathbb{R}^++\{0\}[/tex].

Now let us consider "a" takes negative values that is a<0. Then, the given function is defined the same and the domain will remain the same. But the range will be given as [tex]\text{Range} = \text{only negative real numbers} = \mathbb{R}^-+\{0\}[/tex].

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The AP Statistics formula sheet is illustrated below.

An Advanced Placement (AP) Statistics class, you may be wondering if there is a formula sheet available to help you study and prepare for exams.

The formula sheet includes formulas and equations that are commonly used in statistics, such as measures of central tendency, standard deviation, probability, hypothesis testing, and regression analysis. These formulas are essential for understanding statistical concepts and solving problems in real-world applications.

It's important to note that while the formula sheet is available during the AP exam, it does not include every formula that you will need to know. You will still need to have a solid understanding of statistical concepts and be able to apply them to new situations.

In addition to the formula sheet, it's also helpful to practice working with data sets, analyzing graphs and charts, and interpreting results.

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You cannot compare two marginal distributions to see if the corresponding two are related . So, the statement is false .

The answer to the stated question is false . No , you cannot compare two marginal distributions to see if the corresponding two variables are related.

The given question is related to probability and statistics.

Coming to probability distribution , it is the mathematical function that gives the probabilities of occurrence of different possible outcomes for an experiment. It is a mathematical description of a random phenomenon in terms of its sample space and the probabilities of events.

The marginal distribution of a subset of a collection of random variables is the probability distribution of the variables contained in the subset. It gives the probabilities of various values of the variables in the subset without reference to the values of the other variables.

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Answer: x = -11

Step-by-step explanation:

[tex]\frac{-x+10}{3} = 7[/tex]

⇒-x+10 = 7x3
⇒-x+10 = 21
⇒-x = 21-10
⇒-x = 11
∴ x = -11

Answer:500

explanchion: 1000/50=500

The probability that a discrete random variable equals any of its values is 1. This is because each discrete random variable can take any value within its range with equal probability.

X is a discrete random variable, then for any value x that X can take on, the probability P(X=x) is a number between 0 and 1. This means that there is a non-zero probability for each possible value of X. The sum of the probabilities of all possible values of X must equal 1. This is known as the probability distribution of X.

Mathematically, we can express this as:

0 ≤ P(X=x) ≤ 1 for all x

∑ P(X=x) = 1 over all possible values of x

For example, if X represents the outcome of a fair six-sided die roll, then the probability of X equaling any of its values (1, 2, 3, 4, 5, or 6) is 1/6, since each outcome has an equal probability of occurring and there are six possible outcomes. Therefore, P(X=1) = P(X=2) = P(X=3) = P(X=4) = P(X=5) = P(X=6) = 1/6 and the sum of these probabilities is 1.

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The converted value of measuring mass 145 kilograms to pounds is equal to 320 pounds ( round off to near pounds )

Standard relation between kilograms and pounds are :

One kilograms is equal to 2.20462 pounds

Now substitute the required converted value 145 kilograms in the above standard relation we have ,

⇒ ( 1 × 145 ) kilograms = ( 145 ) ×  ( 2.20462 ) pounds

⇒ 145 kilograms = 319.67 pounds

⇒ 145 kilograms = 320 pounds ( round off to near pounds )

Therefore, after conversion of mass unit kilograms into pounds is given by  145 kilograms = 320 pounds ( round off to near pounds ).

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Answer:

A.

Step-by-step explanation:

Answer A. sin(pi/2)=1, and because it is orthogonal to the x-axis, the x value is 0.

There are 160 students in the seventh grade.

Number is a mathematical entity used to represent a computer magnitude it can be symbol or a combination of simple you should in order to take quantity such as the two, five, seven, three or eight number are used to verify the context including counting measuring and computing.

To calculate the number of students in the seventh grade, you must divide the number of students in the Environmental Club by the percentage they represent. The answer is 8 divided by 0.05, which equals 160. Therefore, there are 160 students in the seventh grade.

The Environmental Club provides students with an opportunity to learn more about the natural environment and how to help protect it. The club members work together to come up with ideas to promote environmental awareness and action in their school and community. They plan activities such as tree-planting, trash clean-ups, and educational presentations. The club also participates in activities like field trips to local parks and nature preserves.

By joining the Environmental Club, students can gain a better understanding of their local environment and how to protect it. This can help them become more aware of their actions and how they can make a difference in the world. They can also develop leadership and communication skills, as well as an understanding of the importance of teamwork. Furthermore, they can make friendships and connections with other students who share the same values and interests.

Overall, the Environmental Club is an important part of the school community and provides great benefits to its members. It allows students to gain knowledge, build skills, and make a positive difference in their communities.

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The number of hours that it will take 24 people in making the boxed lunches on the task would be = 5 hours

The relationship that exists between the number of boxes lunches and the number of people is an inverse relationship.

That is 200 inversely related 1/number of people

That is;

200 × number of people = k

Therefore, 15 people (N1)= 8 hours(T1)

24 people (N2)= X hours(T2)

using the constant of the inverse relationship above;

N1T1 = N2T2

15×8 = 24 × X

X = 15×8/24

X = 120/24

X = 5 hours.

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Answer:

ED

Step-by-step explanation:

Since,

Δ ABC ≅ Δ DEF

Side AB is congruent to side DE

Or

BA is congruent to ED.

The area of the given composite figure is the sum of the areas of triangles and the area of the rectangle, which is 11 sq. units.

What is a composite figure?

Geometric figures can be combined from two or more separate geometric figures. A two-dimensional figure built up of fundamental two-dimensional shapes like triangles, rectangles, circles, semicircles, etc. is known as a composite shape or composite figure. The total of the individual areas will represent the composite shape's area.

The given composite figure can be divided into the shapes given below.

There are 3 right triangles and one rectangle.

The sum of the areas of each shape makes the area of the given composite figure.

Δ ARC

base RC, b = 3

Height AC, h = 4

Area = 1/2 * b * h = 1/2 * 3 * 4 = 6 sq. units.

Δ RST

base RS, b = 2

Height ST, h = 2

Area = 1/2 * b * h = 1/2 * 2 * 2 = 2 sq. units.

Δ BCK

base BK, b = 1

Height BC, h = 2

Area = 1/2 * b * h = 1/2 * 1 * 2 = 1 sq. units.

Rectangle SCBT

length l = 2

Breadth b = 1

Area = 2 * 1 = 2 sq. units

Therefore the area of the given composite figure is = 6 + 2 + 1 + 2

                                                                            = 11 sq. units

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The expression for the measure of the given angle in the image of the circle with center O is [tex]\frac{arc UZW}{2}[/tex].

Remember that the angle subtended by an arc of a circle at its center is twice the angle it subtends anywhere on the circle's circumference. According to this, we can deduce the following expression for the measure of the given angle:

[tex]m\angle UXY = \frac{arc UZW}{2}[/tex]

An angle is a figure in Plane Geometry generated by two rays or lines that share a common endpoint. The term "angle" is derived from the Latin word "angulus," which meaning "corner". The two rays are referred to as the sides of an angle, while the common terminus is referred to as the vertex. The angle in the plane does not need to be in Euclidean space.

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Answer:

672

Step-by-step explanation:First you need to change the percent into 12 over 100 times 600.then the result is 72.after that it says increased so you plus 600 plus 72 and that is the answer

The product of (3 x 107) and (2 x 107) is 6.8694 x 10^4

To find the product of (3 x 107)and (2 x 107), we can use the distributive property of multiplication which states that the product of a number and a sum is equal to the sum of the products of the number and each term in the sum. In this case, we can multiply the numbers outside the parentheses first, and then multiply the result by the common factor of 107 to simplify the expression:

(3 x 107) x (2 x 107) = 6 x (107 x 107)

Next, we can calculate the product of 107 and 107, which is 11,449:

6 x 11,449 = 68,694

In scientific notation, this can be written as:

= 6.8694 x 10^4

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Answer:

The x-intercept is the point where a line crosses the x-axis

Step-by-step explanation:

Answer:

The answer is $11.60

Step-by-step explanation:

Answer: 96

Step-by-step explanation:

Answer:

You are correct! The actual distance, in miles, between Zionsville and Lafayette is 96 miles. This is calculated by multiplying 8 inches (the distance on the map) by 12 miles (the scale of the map), which results in 96 miles.

Answer:

7.64

Step-by-step explanation:

1 week: (100% + 11%) × 6.2

111% × 6.2 = 6.882 cm

OR

11% × 6.2 = 0.682 cm

6.2 + 0.682 = 6.882 cm

Because the plant grows 11% additional to its original height.

1 week = 6.882 cm

2 weeks = 111% × 6.882 cm

OR

11% × 6.882cm = 0.75702 cm

0.75702 cm + 6.882 = 7.63902 cm

Because an additional 11% is added to what was grown in week 1.

=7.63902 cm

= 7.64 cm (rounded to 2 decimal places)

hope this helps!

Answer:

yes

Step-by-step explanation:

As the number of years since 2000 increases, the number of subscribers to the magazine will approach zero, since the linear function p(x) = -4200x + 25000 is decreasing and has a negative slope.

What is a function ?

Function can be defined in which it relates an input to output.

The number of subscribers to the magazine is decreasing at a constant rate. This means that the relationship between the number of subscribers and the number of years since 2000 can be modeled by a linear function.

To find the function that best represents this relationship, we can use the two-point form of a linear equation. We will use the points (0, 25000) and (4, 10240) from the table.

The slope of the line passing through these two points is:

slope = (y2 - y1) / (x2 - x1)

= (10240 - 25000) / (4 - 0) = -4200

Using the point-slope form of a linear equation with the point (0, 25000), we get:

y - y1 = m(x - x1)

y - 25000 = -4200(x - 0)

y - 25000 = -4200x

y = -4200x + 25000

Therefore, the function that best represents the relationship between the number of subscribers and the number of years since 2000 is:

p(x) = -4200x + 25000

where x is the number of years since 2000 and p(x) is the number of subscribers to the magazine.

Using this function, we can find the number of subscribers to the magazine for any given year. For example, to find the number of subscribers in the year 2007 (7 years since 2000), we would substitute x = 7 in the function:

p(7) = -4200(7) + 25000

p(7) = 21800

Therefore, the number of subscribers to the magazine in the year 2007 is 21800.

Therefore, As the number of years since 2000 increases, the number of subscribers to the magazine will approach zero, since the linear function p(x) = -4200x + 25000 is decreasing and has a negative slope.

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Answer:10 cm

Step-by-step explanation:

Answer:B 24 cm

Step-by-step explanation:

The simplified form of the expression x² - 8x +16 is (x - 8)²

Expressions are mathematical statements that involve operations, such as addition, subtraction, multiplication, and division. In this problem, we are given the expression x² - 8x + 16 and asked to simplify it.

The expression can be simplified by using factoring techniques. We can factor the expression as (x - 8)(x - 8), which can be further simplified as (x - 8)2. The simplified expression is (x - 8)²

Therefore, the simplified expression for x² - 8x + 16 is (x - 8)². This shows that the expression is a perfect square, which can be written as (x - 8)², where (x - 8) is the square root of the expression

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Complete Question:

Simplify the expression x² - 8x + 16

This means that his new bearing is 323° clockwise from true north, or simply 0°, which is equivalent to facing due north.

A bearing is a direction measured in degrees relative to a fixed reference point, usually true north. In this case, the man's initial bearing of 307° means that he is moving in a direction that is 307 degrees clockwise from true north.

After he turns 90° to his right, he will be facing in a new direction that is perpendicular to his original direction of travel. Turning 90° to the right means he is now facing due north (since 307° + 90° = 397°, which is equivalent to 37° clockwise from true north).

However, bearings are typically measured as angles clockwise from true north, so we need to convert the angle of 37° counterclockwise from true north into a bearing that is measured clockwise from true north.

To do this, we subtract 37° from 360° to get 323°.

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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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Answer:

The data in this scenario would most likely be categorical, as the responses would likely consist of categories or labels that describe the different activities that the teenagers would like to see in the community room on Saturdays.

Step-by-step explanation:

For example, the responses might include categories such as "video games," "board games," "movie nights," "sports activities," "arts and crafts," and so on. These categories are not numerical values, but rather descriptive labels.

Answer:

Function.

Step-by-step explanation:

This graph is a function because all points on the line are different and do not intersect. (vertical line test)

Hope it helped!

The variance is 0.745

The  standard deviation is 0.863

A probability is a number that describes how likely an event is to occur in science. It is stated as a number between 0 and 1, or in percentage form, as a range between 0% and 100%. The probability of an event increasing as its likelihood increases

How to solve

X is a random variable and is the number of in the group of three who do online course.

The probability distribution is given below:

x        P(X=x)

0       0.108

1        0.355

2       0.395

3      0.142

A summation of this is 0.108 + 0.355 + 0.395 + 0.142

= 1

Since it is equals to 1, the distribution is a probability distribution.

To find the mean,

0(0.108) + (1) (0.355) + (2) (0.395) + (3)(0.0.142)

= 1.571 students

Approx

1.6 students

The variance is

3.213 - 2.468 = 0.745

The standard deviation is \sqrt0.745 = 0.863

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