what is the distance between-48 and -12​

Answer:

  "permutations that preserve distances"

Step-by-step explanation:

You want to know the meaning of "isometries" in the given discussion of dihedral groups.

The wording of the paragraph tells you the meaning:

  "isometries ... are permutations that preserve distances."

__

Additional comment

Often, writing that introduces an unfamiliar word will describe the meaning of that word. Here, the meaning is described, along with several examples (translations, rotations, reflections).

The word isometry has its origin in ancient Greek. The prefix "iso-" means "equal", and "-metry" comes from metron, meaning "measure." Effectively, an isometry is a transformation that preserves measures.

The answer of the standard normal area for each of the following questions are given below respectively.

Standard normal area refers to the area under the standard normal distribution curve, which is a normal distribution with a mean of 0 and a standard deviation of 1.

a. P(1.24<Z<2.14) = 0.0912

b. P(2.03 <Z<3.03) = 0.0484

c. P(-2.03 <Z<2.03) = 0.9542

d. P(Z > 0.53) = 0.2977

Note: The standard normal distribution is a continuous probability distribution with mean 0 and standard deviation 1. The area under the curve represents probabilities and can be calculated using a standard normal distribution table or a calculator with a normal distribution function.

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The mean weight of 16 fruit picked at random, then their mean weight will be greater than 414.72 grams 20% of the time

The mean value of a set of data, is the sum of the values in the data, divided by the number of data in the dataset.

The population mean = 408 grams

The population standard deviation = 32 grams

The mean of 16 fruits such that the probability of the mean is larger than the value is 0.2, can be obtained as follows;

The standard error of the mean = The standard deviation/√(Sample size)

Therefore;

The standard error = 32/√(16) = 8

The mean that corresponds to a probability of 0.2, which is the 80th percentile of the normal distribution, can be found using the z-score of the 80th percentile, which is about 0.84

Therefore, we get;

z = (Sample mean - 408)/8 = 0.84

The sample mean = 8 × 0.84 + 408 =  414.72

The sample mean = 414.72 grams

Therefore;

The mean weight of the 16 fruit such that their weight is greater than the mean weight of the population 20% of the time is 414.72 grams.

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the coordinates of point P are ((Ax + Bx) / 2, (Ay + By) / 2).

How to find?

If we want to find the coordinates of point P on the directed line segment from A to B such that P is the length of the line segment from A to B, we can use the following formula:

P = (1 - t)A + tB

where A and B are the coordinates of the two endpoints of the line segment, t is a scalar between 0 and 1, and P is the coordinates of the point we are trying to find.

When t = 1, we get the coordinates of point B, and when t = 0, we get the coordinates of point A. When t is between 0 and 1, we get a point on the line segment from A to B.

To find the point P that is the length of the line segment from A to B, we set t = 1/2, which gives us:

P = (1 - 1/2)A + (1/2)B

= (1/2)A + (1/2)B

So the coordinates of point P are the average of the coordinates of A and B:

Px = (Ax + Bx) / 2

Py = (Ay + By) / 2

where (Ax, Ay) and (Bx, By) are the coordinates of points A and B, respectively.

Therefore, the coordinates of point P are ((Ax + Bx) / 2, (Ay + By) / 2).

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Complete Question:

What are the Cartesian coordinates of point P on the directed line segment from point A to point B such that point P is located at a distance equal to the length of the line segment from point A to point B?

Using linear negative association, According to the  all four parts correct options are D ;A ;D ;D respectively

The slope of a line expresses a great deal about the linear relationship between two variables. If the slope is negative, there is a negative linear relationship, which means that as one variable increases, the other variable decreases. If the slope is zero, one increases while the other remains constant.

The first answer to the question is option D

The second answer to the question must be option A  

Option D must be chosen for the third question.

Option D  must be selected for Question 4.

Solution:

1.

square of 3 is 9

3 to the power of negative 2 is 1/ 9

cube of 3 is 27

3 to the negative power 3 is 1/27

2.

cylinder  volume =πr²h

Given value

pi =3.14

r=5

h=10

Volume=3.14×5²×10

cylinder volume =785m³

3.

When a point is rotated 90 degrees anticlockwise about the origin, it becomes the point (x,y) (-y,x).

The coordinates of Point N are (4, 3)

N' will be the new coordinates (-3, 4)

As a result, the y-coordinate of N' is 4.

4.

Option D must be selected for Question 4.

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The answer of the given question based on the linear function the answers are ,(a)  The initial value of the function is the y-intercept, which is 55000 , (b) the car will be valued at $35,002 when it has been driven approximately 1666 miles.

Function is a rule that assigns  unique output value to each input value in  a set. The input values are typically represented by variable x, while the output values are represented by  variable y. A function can be thought of as machine that takes an input, processes it according to a specified rule, and produces output.

Functions have many applications in various fields of mathematics and science, like  calculus, linear algebra, and physics. They are also used in computer science and programming, where they are essential for data analysis, machine learning, and other applications.

a. In the linear function y=-9x + 55000, the coefficient of x (-9) represents the rate of change, which indicates how much the value of the car decreases for each mile driven. Specifically, for each mile driven, the value of the car decreases by $9. The initial value of the function is the y-intercept, which is 55000. This represents the value of the car when it has not yet been driven any miles.

b. To find when the car will be valued at $35,002, we can substitute y=35,002 into the linear equation and solve for x:

y=-9x + 55000

35,002=-9x + 55000

-9x = -14998

x = 1666.44

Therefore, the car will be valued at $35,002 when it has been driven approximately 1666 miles.

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We can conclude that Maya's experimental probabilities fluctuate around the theoretical probability, but over a larger number of trials, the experimental probabilities should converge towards the theoretical probability.

What is probability?

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.

The theoretical probability of rolling a 5 on a fair die is 1/6, which means that if the die is rolled many times, we would expect to see a 5 about 1/6 of the time.

For the first 100 trials, Maya rolled a 5 on 25 of those trials. The experimental probability of rolling a 5 in this case is:

experimental probability = number of 5's rolled / number of trials

experimental probability = 25/100

experimental probability = 0.25

So, in the first 100 trials, Maya's experimental probability of rolling a 5 was 0.25.

For the first 200 trials, Maya rolled a 5 on 30 of those trials. The experimental probability of rolling a 5 in this case is:

experimental probability = number of 5's rolled / number of trials

experimental probability = 30/200

experimental probability = 0.15

So, in the first 200 trials, Maya's experimental probability of rolling a 5 was 0.15.

Comparing these experimental probabilities to the theoretical probability, we see that after 100 trials, Maya's experimental probability of rolling a 5 (0.25) is higher than the theoretical probability (1/6 ≈ 0.167). This suggests that Maya's sample of 100 trials was somewhat biased in favor of rolling a 5.

On the other hand, after 200 trials, Maya's experimental probability of rolling a 5 (0.15) is lower than the theoretical probability (1/6 ≈ 0.167). This suggests that Maya's sample of 200 trials was somewhat biased against rolling a 5.

Overall, we can conclude that Maya's experimental probabilities fluctuate around the theoretical probability, but over a larger number of trials, the experimental probabilities should converge towards the theoretical probability. This is known as the law of large numbers, which states that as the number of trials or observations increases, the experimental probability will tend to approach the theoretical probability.

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We might say that Maya's experimental probabilities oscillate about the theoretical probability, but after more trials, the experimental probabilities ought to converge to the theoretical probability.

What is probability?

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

A fair die has a theoretical probability of rolling a 5 of 1/6, therefore if the die is rolled several times, we can anticipate seeing a 5 roughly 1/6 of the time.

For the first 100 trials, Maya rolled a 5 on 25 of those trials. The experimental probability of rolling a 5 in this case is:

experimental probability = number of 5's rolled / number of trials

experimental probability = 25/100

experimental probability = 0.25

So, in the first 100 trials, Maya's experimental probability of rolling a 5 was 0.25.

For the first 200 trials, Maya rolled a 5 on 30 of those trials. The experimental probability of rolling a 5 in this case is:

experimental probability = number of 5's rolled / number of trials

experimental probability = 30/200

experimental probability = 0.15

So, in the first 200 trials, Maya's experimental probability of rolling a 5 was 0.15.

Comparing these experimental probabilities to the theoretical probability, we see that after 100 trials, Maya's experimental probability of rolling a 5 (0.25) is higher than the theoretical probability (1/6 ≈ 0.167). This suggests that Maya's sample of 100 trials was somewhat biased in favor of rolling a 5.

On the other hand, after 200 trials, Maya's experimental probability of rolling a 5 (0.15) is lower than the theoretical probability (1/6 ≈ 0.167). This suggests that Maya's sample of 200 trials was somewhat biased against rolling a 5.

Overall, we can conclude that Maya's experimental probabilities fluctuate around the theoretical probability, but over a larger number of trials, the experimental probabilities should converge towards the theoretical probability. This is known as the law of large numbers, which states that as the number of trials or observations increases, the experimental probability will tend to approach the theoretical probability.

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Step-by-step explanation:

try this option, all the details are in the attachment.

For all values of x, y, and z, the expression 56x + 40y - 48z = 8(7x + 5y - 6z) holds true.

As an illustration, the phrase x + y is one where x and y are terms with an addition operator in between. There are two sorts of expressions in mathematics: numerical expressions, which only contain numbers, and algebraic expressions, which also include variables.

Indeed, for all values of x, y, and z, the expression 56x + 40y - 48z = 8(7x + 5y - 6z) holds true.

We can simplify both sides of the equation to understand why:

56x + 40y - 48z = 8(7x + 5y - 6z)

56x + 40y - 48z = 56x + 40y - 48z

As we can see, the equation is true for all values of x, y, and z because both sides are identical.

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Answer:

false

Step-by-step explanation:

only right triangles

Answer:

false

Step-by-step explanation:

The converse of the Pythagorean theorem is used to find the length of the hypotenuse of a right triangle.

Answer:

The total number of ways to choose 2 students from a class of 16 is given by the combination formula:

C(16,2) = 16! / (2! * (16-2)!) = (1615) / (21) = 120

This means there are 120 possible pairs of students that could be drawn.

The probability of you and your best friend being chosen is the number of ways that you and your friend can be selected divided by the total number of possible pairs. There is only 1 way to select you and your best friend out of the class of 16, so the probability is:

P(you and your best friend are chosen) = 1/120

Therefore, the probability that you and your best friend will be chosen is 1/120. Option (B) is the correct answer.

Answer:

The probability of choosing one specific student out of 16 is 1/16. After one student is chosen, there are 15 students left, so the probability of choosing the second specific student out of the remaining 15 is 1/15. The probability of both events happening is the product of the probabilities: (1/16) x (1/15) = 1/240. However, there are two ways that the students can be chosen (your friend first, then you or you first, then your friend), so we need to multiply the probability by 2: 2 x (1/240) = 1/120. Therefore, the probability of you and your best friend being chosen is 1/120. Answer: 1/120.

Instead of 2.00 as mentioned in the question, the semester GPA is 1.38. Please double-check your calculations or provide more details if you made an error when reporting your grades or computing your GPA.

Students must devote approximately 135 hours (45 x 3) of class, instructional, and independent time to a three credit unit course. Students who enroll in a course for four credit hours must dedicate around 180 (45 x 4) hours to it, split between in-class and out-of-class work.

You must first translate each letter grade using the common 4.0 scale into its equivalent numerical number before you can determine your semester GPA:

A = 4.0

B = 3.0

C = 2.0

D = 1.0

F = 0.0

E = 0.0 (equivalent to F)

Then, you can use the formula:

(Total grade points) / GPA (total credit hours)

Using this formula, we can calculate your semester GPA as follows:

FYE 105: F (0.0) x 3 credit hours = 0.0 grade points

MAT 150: E (0.0) x 3 credit hours = 0.0 grade points

ENG 101: D (1.0) x 3 credit hours = 3.0 grade points

BIO 112: A (4.0) x 3 credit hours = 12.0 grade points

BIO 113: B (3.0) x 1 credit hour = 3.0 grade points

Total grade points = 0.0 + 0.0 + 3.0 + 12.0 + 3.0 = 18.0

Total credits earned is 13 (3 + 3 + 3 + 3 + 1)

GPA = 18.0 / 13 = 1.3846

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Answer:

  see attached

Step-by-step explanation:

You want to graph the function f(x) = 3/5x -5.

For graphing purposes, it is convenient to choose values of x that result in integer values of y. In this case, the multiplier of x (the slope) has a denominator of 5, so it is convenient to choose x-values that are multiples of 5.

For x = 0, y = 3/5·0 -5 = -5

For x = 5, y = 3/5·5 -5 = 3 -5 = -2

Suitable points for your plot are (0, -5) and (5, -2). These are shown in the attachment.

Answer:

Step-by-step explanation:

y2-y1/x2-x1

-7-(-19)/-2-1

12/-2

-6

The slope is -6

Answer:

multiply them fro your answer

The graph would show two lines, one for Tom and one for Steve. Tom's line would be a straight, continuous line with a positive slope representing a constant speed of 80 km/h.

Graph is a mathematical structure used to depict relationships among objects. It consists of a set of objects, known as vertices, connected by edges. A graph can represent any kind of relationship between two or more objects, such as a flowchart, a map, or a family tree. Graphs are widely used in computer science, engineering, and mathematics to represent data and solve problems.

Steve's line would start as a straight, continuous line with a positive slope representing a constant speed of 100 km/h. At d = 150, the line would have a break representing the 30-minute rest and then continue on with a positive slope, representing Steve's continued journey at the constant speed of 100 km/h.

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A. The graph for Tom's journey is a straight line with a slope of 80 km/h and the graph for Steve's journey is a piecewise function with a slope of 100 km/h for the first 150 km and 0 km/h for the second 150 km.

A function is a process or a set of instructions that is used to operate a mathematical or computer program. It is a mathematical entity that takes certain values as inputs, performs certain operations on them, and produces a certain output. Functions are used to simplify complex problems, allowing for efficient and accurate results. They are also used to model real-world systems and processes, allowing for better understanding of those systems.

b i Tom overtakes Steve at t = 1.875 hours and d = 225 km.

ii Steve overtakes Tom at t = 3.75 hours and d = 375 km.

iii At the time Steve arrives at Broken Hill (t = 4 hours), Tom still has to travel a distance of 300 km - 375 km = 25 km to reach Broken Hill.

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Answer:

Step-by-step explanation:

The quadrilaterals which have both line and rotational symmetry of order more than 1 are square, and rhombus

Symmetry is a fundamental concept in mathematics and geometry. It refers to the property of a shape that remains unchanged when it is transformed in a certain way.

Now, let's talk about quadrilaterals that have both line and rotational symmetry of order more than 1. One example of such a quadrilateral is a square.

Another example of a quadrilateral with both line and rotational symmetry of order more than 1 is a rhombus. A rhombus is a type of quadrilateral where all four sides are equal in length, and opposite angles are equal.

In summary, a square and a rhombus are examples of quadrilaterals that have both line and rotational symmetry of order more than 1.

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Complete Question:

Name the quadrilaterals which have both line and rotational symmetry of order more than 1.

Answer:

≈ 4.57

Step-by-step explanation:

(-2) ^ 2 = 4

4 - (-28) = 4 + 28 = 32

32/7 ≈ 4.57

Answer:

m = -1

Step-by-step explanation:

may not be accurate, I haven't done this in a while

Answer:

-1y−y1=m(x−x1)

y−6=−1(x+5)

y−6=−1x+(−1×5)

y−6=−1x+−5

y−6=−1x−5

y=−1x−5+6

y=−1x+1

y=−x+1

m=−1

b=1

Step-by-step explanation: Hope this helps!! Mark me brainliest!

a. Nοne οf these measure οf central tendency dοn't exist fοr this data set. Optiοn d) is cοrrect

b. As the sum οf all οbservatiοns wοuld chance, the mean wοuld be affected by the change. Optiοn a) is cοrrect

In statistics, the central tendency is the descriptive summary οf a data set. Thrοugh the single value frοm the dataset, it reflects the centre οf the data distributiοn. Mοreοver, it dοes nοt prοvide infοrmatiοn regarding individual data frοm the dataset, where it gives a summary οf the dataset. Generally, the central tendency οf a dataset can be defined using sοme οf the measures in statistic.

c.

Suppοse that, the largest measurement 97 is remοved.

The number οf οbservatiοns as well as the sum οf all οbservatiοns wοuld change.

Therefοre, the median and the mean wοuld be changed and οptiοn a) and b) are cοrrect.

d.

Since there are three mοdes, the mean, median and mοde must nοt be cοmpared tο each οther fοr skewness.

Instead, it is required tο grοup data in intervals and οbserve the pattern οf classes versus frequencies, as displayed in histοgram.

Therefοre, the distributiοn appears rοughly symmetric and οptiοn c) is cοrrect.

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Answer: I got you!

Step-by-step explanation:

(a) To find the number of bottles of sanitizer received by each person, we need to divide the total number of bottles by the number of people. So:

Number of bottles per person = (p² + 29p - 96) ÷ (p + 32)

(b) If we substitute x = 8 into the expression for the number of bottles of sanitizer, we get:

p² + 29p - 96 = x(x + 32)

p² + 29p - 96 = 8(8 + 32)

p² + 29p - 96 = 320

p² + 29p - 416 = 0

We can solve this quadratic equation to get:

p = -32 or p = 13

Since the number of people cannot be negative, we take p = 13. Therefore, the actual number of bottles of sanitizer distributed is:

p² + 29p - 96 = 13² + 29(13) - 96 = 520

The number of people who received the sanitizer is:

p + 32 = 13 + 32 = 45

And the share of each person is:

Number of bottles per person = (p² + 29p - 96) ÷ (p + 32) = 520 ÷ 45 ≈ 11.56

So each person received approximately 11.56 bottles of sanitizer.

Answer:

To calculate Justin's monthly installment, we need to use the formula for calculating the monthly payment for a loan:

P = (r * A) / (1 - (1 + r)^(-n))

where P is the monthly payment, r is the monthly interest rate, A is the loan amount, and n is the total number of payments (in months).

In this case, A = 18500, r = 0.06/12 = 0.005 (since the annual interest rate is 6%, we divide by 12 to get the monthly rate), and n = 4*12 = 48 (since the loan is for 4 years, or 48 months).

Plugging in these values, we get:

P = (0.005 * 18500) / (1 - (1 + 0.005)^(-48))

P ≈ $432.85

Therefore, Justin's monthly installment would be approximately $432.85

Answer:

D) Kite

Step-by-step explanation:

A kite is a 4 sides figure that a pair of adjacent sides have the same length.

Helping in the name of Jesus.

Answer:

D) kite.

Step-by-step explanation:

Refer to the picture, when you combine the quadrilateral, it's more precise to make a kite.

Answer:

No

Step-by-step explanation:

Since a polygon has straight sides, with 3 or more, it cannot be a polygon since one side is curved.

The probability that Bernard will take 1 green counter and 1 white counter is 0.82.

Let's first find the total number of white and green counters in the bag:

Total counters = 20

Red counters = 7

Green/White counters = 20 - 7 = 13

Now, let's calculate the probability that Bernard will take 2 white counters:

Probability of getting the first white counter = 13/20

Probability of getting the second white counter (after taking one out) = 12/19

Probability of getting 2 white counters = (13/20) * (12/19) = 0.41 (rounded to two decimal places)

Now, let's calculate the probability that Bernard will take 1 green counter and 1 white counter:

Probability of getting 1 green counter = 13/20

Probability of getting 1 white counter (after taking 1 green out) = 12/19

Probability of getting 1 green and 1 white counter = (13/20) * (12/19) = 0.41

However, we have to consider that there are two ways in which Bernard can get 1 green and 1 white counter - he can either get the green counter first and the white counter second, or vice versa. Therefore, we need to multiply the above probability by 2:

Probability of getting 1 green and 1 white counter = 0.41 * 2 = 0.82

Therefore, the probability that Bernard will take 1 green counter and 1 white counter is 0.82.

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Answer:

Step-by-step explanation:

Answer:

[tex]\begin{array}{|c|c|c|c|}\cline{1-4}\vphantom{\dfrac12}\sf Location&AB&BC&AC\\\cline{1-4}\vphantom{\dfrac12} A(3,4),\;B(1,1),\;C(5,1)&3.61&4&3.61\\\cline{1-4}\vphantom{\dfrac12} A(4,5),\;B(2,1),\;C(7,3)&4.47&5.39&3.61\\\cline{1-4}\end{array}[/tex]

[tex]\begin{array}{|c|c|c|c|}\cline{1-4}\vphantom{\dfrac12}\sf Location&m \angle A&m \angle B&m \angle C\\\cline{1-4}\vphantom{\dfrac12} A(3,4),\;B(1,1),\;C(5,1)&67.38^{\circ}&56.31^{\circ}&56.31^{\circ}\\\cline{1-4}\vphantom{\dfrac12} A(4,5),\;B(2,1),\;C(7,3)&82.87^{\circ}&41.63^{\circ}&55.49^{\circ}\\\cline{1-4}\end{array}[/tex]

Step-by-step explanation:

Place points A, B and C on the coordinate grid.

Alternatively, type the following into the input field as 3 separate inputs:

Triangle 1

Triangle 2

Use the Segment tool to join each pair of points.

Alternatively, type Segment( <Point>, <Point> ) into the input field (replacing <Point> with the letter name of the point) to create a segment between two points.

Record the length of each side.

[tex]\begin{array}{|c|c|c|c|}\cline{1-4}\vphantom{\dfrac12}\sf Location&AB&BC&AC\\\cline{1-4}\vphantom{\dfrac12} A(3,4),\;B(1,1),\;C(5,1)&3.61&4&3.61\\\cline{1-4}\vphantom{\dfrac12} A(4,5),\;B(2,1),\;C(7,3)&4.47&5.39&3.61\\\cline{1-4}\end{array}[/tex]

Use the Angle tool to measure each angle in the resulting triangle.

Alternatively, type Angle(Polygon(A, B, C)) into the input field to create all interior angles.

Record the measure of each angle.

[tex]\begin{array}{|c|c|c|c|}\cline{1-4}\vphantom{\dfrac12}\sf Location&m \angle A&m \angle B&m \angle C\\\cline{1-4}\vphantom{\dfrac12} A(3,4),\;B(1,1),\;C(5,1)&67.38^{\circ}&56.31^{\circ}&56.31^{\circ}\\\cline{1-4}\vphantom{\dfrac12} A(4,5),\;B(2,1),\;C(7,3)&82.87^{\circ}&41.63^{\circ}&55.49^{\circ}\\\cline{1-4}\end{array}[/tex]

Note: All measurements have been given to the nearest hundredth (2 decimal places).

Answer:

The common difference between consecutive terms in the sequence is 8 (since -17 + 8 = -9, -9 + 8 = -1, -1 + 8 = 7, and so on). Therefore, the recursive formula for this arithmetic sequence is:

a(1) = -17

a(n) = a(n-1) + 8 for n >= 2

This formula says that the first term in the sequence is -17, and each subsequent term is found by adding 8 to the previous term.

(please mark my answer as brainliest)

Answer:

x= 13 =smaller number

Step-by-step explanation:

let x=smaller number

y=2x-6=larger number

x+y=45

x+2x-6=45 (equation)

3x=39

x=13

Answer:

[tex]x = 13[/tex] ..... smaller number

and

[tex]y = 32[/tex] ....... larger number

Step-by-step explanation:

Greetings!!!

Let the two numbers be X and Y

[tex]x + y = 45........ \:equation \: 1[/tex]

The larger number is y and is 6 less than twice the smaller number. which means:-

[tex](y - 6) = 2x........... \: equation \: 2[/tex]

so, now solve for y. from equation 2

[tex]y - 6 = 2x \\ y = 2x + 6[/tex]

Substitute equation 1 into equation 2

[tex]x + y = 45 \\ x + (2x + 6) = 45 \\ 3x + 6 = 45 \\ 3x = 45 - 6 \\ 3x = 39....divide \: both \: sides \: by \: 3 \\ x = 13[/tex]

To solve for y substitute x into the first equation

[tex](13) = + y = 45 \\ y = 45 - 13 \\ y = 32[/tex]

Finally, to be more sure make a cross check

[tex]y - 6 = 2x \\ 32 - 6 = 2(13) \\ 26 = 26[/tex]

If you have any questions tag it on comments

Hope it helps!!!