What is the domain of the functions below:

y=5x / |x-1|+1
(The / symbol is a fraction)

The study of statistics rests on two major​ concepts probability which  is the branch of mathematics that deals with the likelihood of events occurring and Data Analysis is the process of examining and interpreting data in order to gain insights and make better decisions

Probability theory is based on the idea that, given enough data, the frequency of an event can be predicted and allows for the formulation of mathematical models that can quantify the likelihood of particular outcomes. Probability is the foundation of statistics and helps to explain the behavior of chance events.It involves the collection, organization, and analysis of data from a variety of sources, such as survey responses, observations, experiments, or existing databases.

Data analysis is used to identify patterns and relationships in data, draw conclusions, and make decisions. It is an important part of statistics, as it helps to uncover insights that would otherwise remain hidden. Data analysis tools, such as statistical models, can be used to gain greater insight into the data.

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The correct option for the midpoint of the line segment , where (-1,-2) and (4,-2), is  (1.5,-2).

To find the midpoint of a line segment, we use the midpoint formula, which states that the coordinates of the midpoint (M) are the average of the coordinates of the endpoints.

The midpoint formula is given by:

M = ((x1 + x2) / 2, (y1 + y2) / 2)

Let's apply this formula to find the midpoint of the line segment AB:

x1 = -1, y1 = -2 (coordinates of point A)

x2 = 4, y2 = -2 (coordinates of point B)

Using the midpoint formula:

M = ((-1 + 4) / 2, (-2 + (-2)) / 2)

 = (3 / 2, -4 / 2)

 = (1.5, -2)

Therefore, the midpoint of the line segment , with endpoints (-1,-2) and (4,-2), is (1.5, -2).

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Answer:

the answer for your question is coordination

Answer:

  h = 3V/(πr²)

Step-by-step explanation:

You want to find the height of a cone given the volume and radius.

You can find the height by using the volume formula and solving it for height.

  V = 1/3πr²h

Multiplying by the inverse of the coefficient of h gives ...

  3V/(πr²) = h

You can use this formula to find the height from the volume and radius:

  h = 3V/(πr²)

<95141404393>

Answer:

\( - \frac{64 }{27} \)

Answer:

-64/27

Step-by-step explanation:

just break it down like;

-4/3×-4/3×-4/3;

solve it arithmetically amd you get your answer.

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Answer:

Combine like terms

2 + − 4

3x − 4y

Answer:

\(3x-4y\)

Step-by-step explanation:

\(2x+x-4y\)

If a term doesn't have a coefficient , it is considered that the coefficient is 1

\(2x+1x-4y\)

Why is it considered that the coefficient is 1?

Remember that any term multiplied by 1 remains the same:

\(1.x=x\)

Step 1

The equality can be read in the other way as well , so any term can be written as a product of 1 and itself:

\(x=1 . X \\\)

Step 2

Usually, we don't need to write multiplication sign between the coefficient and the variable , so the simpler form is:

\(x=1x\)

That is why we can write the term without the coefficient as a term with coefficient 1.

Let's go back to your problem now

Collect like terms by adding their coefficients

\((2+1)x-4y\)

Add the numbers

\(3x-4y\)

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Answer:

$679,857.92

Step-by-step explanation:

The computation of the total amount of money would be owed is shown below

A = P × (1 + r)^t

where

A represents the total money owed

P represent the borrowed amount

r represent the rate of interest

t represents the time period

So,

= $150,000 × (1 + 0.06)^15

= $150,000 × 1.06^15

= $679,857.92

Answer: 43 and 49

Step-by-step explanation:

Answer:

43, 89

Step-by-step explanation:

A prime number is any number above 1 that can evenly divide out.

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The statement presented is false.

The statement presented is false. The formula provided for the length of the curve, L, is incorrect. The correct formula for the length of a curve y = f(x) from a = a to x = b is L = \(\int[a, b] \sqqrt(1 + [f'(x)]^2)\)dx, not the expression given in the question.

This formula is known as the arc length formula. The graph of the parametric equation a = t² + 1, y = 2t - 1 represents a parabolic curve, not a parabola.

Parabolas are defined by equations of the form y = ax² + bx + c, whereas the given equation is a parametric representation of a parabolic curve in terms of the variable t.

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Shelia's paycheck was $192.

Shelia's paycheck for the week amounts to $192. To calculate this, we need to consider her different rates of pay during the day and evening shifts, as well as the number of hours worked in each shift.

During the day, Shelia earns $8.00 per hour. In this case, she worked for 12 hours, so her earnings for the day shift would be 12 hours multiplied by $8.00, which equals $96.00.

During the evening, Shelia earns one and a half times her day rate, which means she earns $8.00 * 1.5 = $12.00 per hour. For her 6 hours of work during the evening shift, she would earn 6 hours multiplied by $12.00, resulting in $72.00.

To find the total paycheck, we add the earnings from both shifts: $96.00 (day shift) + $72.00 (evening shift) = $168.00.

Therefore, Shelia's paycheck for the week amounts to $168. This aligns with the first step of our answer.

In this scenario, Shelia's daytime rate of $8.00 per hour is clear. However, it is important to note that her evening rate is stated as "one and a half times" her day rate, resulting in $12.00 per hour. This highlights the significance of understanding the given rate differentials and applying them accurately in calculations to determine the total earnings.

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The length of arc AB in the circle is 2πr units.

What is circle?

All points in a plane that are at a certain distance from the centre combine to form a circle. It is the curve that a moving point in a plane draws to keep its distance from another point constant, to put it another way.

A circle is having arc length AB. As arc is full circle, the full length of the circle is given by its perimeter

Length of arc AB  

= θ * π/180 * r

= 360 * π/180 * r

= 2πr

Thus , length arc AB = 2πr unit

Hence the correct answer of the given problem of circle comes out to be length arc AB = 2πr units.

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We can deduce that 3pi/4<5pi/3<2pi

The angle is in the 4th quadrant. To find the angle you just do:

\(2\pi -\frac{5\pi }{3}=\frac{\pi }{3}\)

The answer to your question is B. I hope that this is the answer that you were looking for and it has helped you.

Answer: His scoring rate was 21 points per game.

Step-by-step explanation: Find his scoring rate by dividing 252 by 12.

252/12 = 21

Answer:

Answer is 9/8

Step-by-step explanation:

18/8-9/8=9/8

Answer:

9/8

Step-by-step explanation:

9/4 - 9/8

9/4 x 2 = 18/8 to match denominators

18/8 - 9/8

= 9/8

Answer:

It will be 25 cm.

Answer:

10 weeks

Step-by-step explanation:

$30 + $2 x 10 = $50

$90 - $4 x 10 = $50

Answer:

37

Step-by-step explanation:

bec its 10 sides shape so its sum of angles equals 1440 so you will sum all these angles and minust it from 1440

Answer:

56.55

Step-by-step explanation:

V = πr²h/3 = π·3²·6/3 = 56.54867

The answer rounded is 56.55.

-hope it helps

the solution of the system of equation where x = -40.

What is a System of Equations?

A system of equations in algebra is made up of two or more equations that are solved together. "A group of equations satisfied by the same set of variables are called a system of linear equations. Finding the values of the variables employed in the system of equations is the first step towards solving it. While maintaining the balance of the equations on both sides, we compute the values of the unknown variables. Finding a variable whose value makes the condition of all the given equations true is the primary goal of solving an equation system.

8+x/2 =1/4(x-4) - 1

⇒8+x/2 = x/4 -1 -1

⇒x/2-x/4 = -10

⇒x/4 = -10

⇒x = -40

Hence the solution of the system of equation where x = -40.

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Answer:

hope it helps thnk u .....ask if any queries

Answer:

Whats your username I might check you out later.

Step-by-step explanation:

yess robl0x is fun oh and whats your username ill friend you :)

The null hypothesis can be rejected at the 0.05 or 5 % level of significance according to Decision Rule.

The null hypothesis is a type of hypothesis that explains the population parameter and is used to examine if the provided experimental results are reliable. Depending on whether the population or sample under consideration is viable, this hypothesis is either rejected or not. Or to put it another way, the null hypothesis is a hypothesis that assumes that the sample observations are the product of chance. It is claimed to be a claim made by surveyors who wish to look at the data. The symbol for it is H0.

Given :  n = 8          

\(\large \bar{X}=105.20 \\\\ \larg\frac{\sigma}{\sqrt{n}}=1.77 \\ \\ \large \alpha=0.05 \large \mu_0=100\)

a )  We want to find the 95% confidence interval for mean

Therefore ,

\(\large (105.20-Z_{0.05}*1.77,105.20+Z_{0.05}*1.77)\\\\\large (105.20-1.64*1.77,105.20+1.64*1.77)\\\\\large (105.20-2.9028,105.20+2.9028)\)

(102.2972,108.1028)

b )  Hypothesis :  

\(\large H_0:\mu=100 \\ \\ \large H_1:\mu\neq 100\)

The test statistic under H is given by ,

\(\large Z\rightarrow N(0,1)\\\\ \large Z =\frac{105.20-100}{1.77}\\\\ \large =\frac{5.20}{1.77}\\\\\large =2.9379\)

\(P value \large =P(Z > |Z_{cal}|)\)

=P(Z>2.9379)

=0.001652

Decision Rule :  If P value \(< \large \alpha\)  then reject  at  \(\large \alpha\) % level of significance accept otherwise

Here , P value = 0.001652 < \large \alpha = 0.05

Therefore , reject H at 5% level of significance.

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The λ factor is not added to x' and t' because they are not related to mass, and they are not affected by time dilation.The Lorentz transformation helps in making predictions about how physical measurements will vary for different observers.

It helps in defining the relationship between the space-time coordinates of events as measured by two inertial frames of reference moving relative to each other with a constant velocity.The Lorentz transformation equation is given as follows:x' = (x - vt)γt' = (t - vx/c²)γwhere γ = 1/√(1-v²/c²) is the Lorentz factor.The Lorentz transformation can also be applied to the energy and momentum of a particle. The energy E and momentum p of a particle can be related to its mass m and velocity v through the following equations:E = γmc²p = γmv

Energy and momentum are related to the space-time coordinates of events as well. Therefore, the Lorentz transformation can be applied to them as well. The energy E' and momentum p' of a particle as measured in a frame of reference moving with a velocity v relative to a stationary frame of reference are given by the following equations:E' = γ(E - vp) p' = γ(p - vE/c²).

The energy E' includes a factor of γ in its equation because of the need to account for the effects of time dilation and length contraction on the energy of a moving particle. The momentum p' also includes a factor of γ because of the need to account for the effects of time dilation and length contraction on the momentum of a moving particle.

In conclusion, the λ factor is added to the energy equation because energy is related to mass, and mass increases with velocity. The effect of time dilation on mass is accounted for by the λ factor. On the other hand, the λ factor is not added to x' and t' because they are not related to mass, and they are not affected by time dilation.

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The standard deviation of the shoe size data for the math class is 1.5. Standard deviation is a measure of how spread out the data is, and it is calculated by taking the square root of the variance.

Calculate the difference between each shoe size and the mean (7.5)

if the shoe sizes in the class are 6, 7, 8, 9, 10

The differences from the mean are (-1.5), (-0.5), 0.5, 1.5, 2.5

Square each difference

(-1.5)² = 2.25

(-0.5)² = 0.25

0.5² = 0.25

1.5² = 2.25

2.5² = 6.25

Add up all the squared differences

2.25 + 0.25 + 0.25 + 2.25 + 6.25 = 11.25

Divide the sum of squared differences by the number of shoe sizes (n):

11.25 / 5 = 2.25

Take the square root of the result to get the standard deviation

√(2.25) = 1.5

Therefore, the standard deviation of the shoe size data for the math class is 1.5.

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A fraction is really just another way to write a division problem without dividing. So all you have to do is divide, then round to whichever decimal place your teacher wants.

9514 1404 393

Answer:

  see attachments

Step-by-step explanation:

The side lengths are found using the distance formula.

  d = √((x2-x1)^2 +(y2-y1)^2)

For example, the length of RS in the first triangle is ...

  d = √((4-(-1))^2 +(4-(-3))^2) = √(25 +49) = √74 ≈ 8.602

This same computation is used for all of the sides of the triangles. When the same tedious computation is repeated over and over, I like to use a spreadsheet to do it. In the attached spreadsheet the two points used are the one on the same line as the distance, and the one on the line below. Side lengths are shown in the attachment to 3 decimal places.

__

In order to classify the triangle as acute, right, or obtuse, we can compare the side lengths to those of a right triangle. For the purposes of computation in a spreadsheet, it is convenient to compute the middle length side of a right triangle that has the same longest and shortest sides as the triangle we have.

If the computed side is longer than the actual middle side, then the triangle we have is obtuse. If it is shorter, the triangle we have is acute. If it is exactly the same, then the triangle we have is a right triangle.

In every case here, the computed middle side is shorter than the actual middle-length side, so all of the triangles are acute triangles. (The one of problem 39 is isosceles, since two sides are the same length. The others are scalene.)

__

The triangles are graphed in the second attachment.

  problem 38: RST

  problem 39: ABC

  problem 40: DEF

Answer: try a c and e

Step-by-step explanation:

Answer:

The greatest negative integer is the number one less than 0 and the smallest positive integer is the number one greater than 0.

Step-by-step explanation:

1.

a. 8 x 7 x 1/2 = 56 x 1/2 = 28

b. 24 x 14 x 1/2 = 336 x 1/2 = 168

c. 5 x 12 x 1/2 = 60 x 1/2 = 30

d. 4 x 4.8 x 1/2 = 19.2 x 1/2 = 9.6

2.

two triangles: 2(4 x 8 x 1/2) = 4 x 8 = 32

rectangle: 15 x 8 = 120

total area: 32 + 120 = 152

Answer:

A. 24 units

Explanation:

The perimeter of the triangle RST is equal to the sum of their sides.

We know that RS = 8 units and ST = 6 units.

Then, by the Pythagorean theorem, we can calculate the length of side RT as follows

Then, the perimeter is equal to

Perimeter = RS + ST + RT

Perimeter = 8 + 6 + 10

Perimeter = 24

So, the answer is A. 24 units