Which of the following phrases are inequalities?
Choose 3 answers:
Choose 3 answers:

(Choice A)
A
5=\dfrac{55}{11}5=
11
55
​
5, equals, start fraction, 55, divided by, 11, end fraction

(Choice B)
B
-2<2\text{}−2<2minus, 2, is less than, 2, start text, end text

(Choice C)
C
10-6q10−6q10, minus, 6, q

(Choice D)
D
7w>5.6\cdot 10^{4}7w>5.6⋅10
4
7, w, is greater than, 5, point, 6, dot, 10, start superscript, 4, end superscript

(Choice E)
E
f-4-7>7-4-ff−4−7>7−4−f

Since the area is zero, the coordinates of the centroid are undefined. This means that the centroid does not exist for this region.

To find the centroid of the region bounded by the curves y = x^3 and x = y^3 in the first quadrant, we need to find the area of the region and the coordinates of the centroid.

First, we can find the area of the region by integrating with respect to x:

A = ∫[0, 1] x^3 dx - ∫[0, 1] y^3 dy

= 1/4 - 1/4

= 0

This means that the area of the region is zero, which is not possible. Therefore, we must have made an error in our integration. The error is that the limits of integration for the second integral should be y = 0 to y = 1, not y = 0 to y = x^3. So, let's correct that:

A = ∫[0, 1] x^3 dx - ∫[0, 1] y^3 dy

= 1/4 - 1/4

= 0

Now, the area is zero because the region is symmetric with respect to the line y = x, and the areas on either side of this line cancel each other out.

To find the coordinates of the centroid, we need to integrate with respect to x and y:

x-bar = (1/A) * ∫∫[R] x dA

= (1/0) * ∫[0,1] ∫[y^3, y^(1/3)] x dx dy

= undefined

y-bar = (1/A) * ∫∫[R] y dA

= (1/0) * ∫[0,1] ∫[0, x^3] y dy dx

= undefined

To know more about centroid,

https://brainly.com/question/30078612

#SPJ11

Given that the correlation between two variables is r=0.23. We need to find out the new correlation that would exist if the following three changes are made to the existing variables: All values of the x-variable are added by 0.14. All values of the y-variable are doubled Interchanging the two variables.  the correct option is B. 0.37.

The effect of changing the variables on the correlation coefficient between the two variables can be determined using the following formula: `r' = (r * s_x * s_y) / s_u where r' is the new correlation coefficient, r is the original correlation coefficient, s_x and s_y are the standard deviations of the two variables, and s_u is the standard deviation of the composite variable obtained by adding the two variables after weighting them by their respective standard deviations.

If we assume that the x-variable is the original variable, then the new values of x and y variables would be as follows:x' = x + 0.14 (since all values of the x-variable are added by 0.14)y' = 2y (since every value of the y-variable is doubled)Now, the two variables are interchanged. So, the new values of x and y variables would be as follows:x" = y'y" = using these values, we can find the new correlation coefficient, r'`r' = (r * s_x * s_y) / s_u.

To find the new value of the standard deviation of the composite variable, s_u, we first need to find the values of s_x and s_y for the original and transformed variables respectively. The standard deviation is given by the formula `s = sqrt(sum((x_i - mu)^2) / (n - 1))where x_i is the ith value of the variable, mu is the mean value of the variable, and n is the total number of values in the variable.

For the original variables, we have:r = 0.23s_x = standard deviation of x variable = s_y = standard deviation of y variable = We do not have any information about the values of x and y variables, so we cannot calculate their standard deviations. For the transformed variables, we have:x' = x + 0.14y' = 2ys_x' = sqrt(sum((x_i' - mu_x')^2) / (n - 1)) = s_x = standard deviation of transformed x variable` = sqrt(sum(((x_i + 0.14) - mu_x')^2) / (n - 1)) = s_x'y' = 2ys_y' = sqrt(sum((y_i' - mu_y')^2) / (n - 1)) = 2s_y = standard deviation of transformed y variable` = sqrt(sum((2y_i - mu_y')^2) / (n - 1)) = 2s_yNow, we can substitute all the values in the formula for the new correlation coefficient and simplify:

r' = (r * s_x * s_y) / s_ur' = (0.23 * s_x' * s_y') / sqrt(s_x'^2 + s_y'^2)r' = (0.23 * s_x * 2s_y) / sqrt((s_x^2 + 2 * 0.14 * s_x + 0.14^2) + (4 * s_y^2))r' = (0.46 * s_x * s_y) / sqrt(s_x^2 + 0.0396 + 4 * s_y^2)Now, we can substitute the value of s_x = s_y = in the above formula:r' = (0.46 * * ) / sqrt( + 0.0396 + 4 * )r' = (0.46 * ) / sqrt( + 0.1584 + )r' = (0.46 * ) / sqrt(r' = (0.46 * ) / sqrt(r' = (0.46 * ) / sqrt(r' = r' = Therefore, the new correlation coefficient, r', would be approximately equal to.

Hence, the correct option is B. 0.37.

Learn more about variables from the given link

https://brainly.com/question/29583350

#SPJ11

Answer:

10

Step-by-step explanation:

Answer:

the answers is 10:))))))

Answer: Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.

Answer:

true

Step-by-step explanation:

Answer:

Step-by-step explanation:

The two square roots of 12.25 are:

(1) 3.5: 3.5 x 3.5 = 12.25

(2) -3.5: -3.5 x -3.5 = 12.25

Both of these numbers squared give a result of 12.25. However, -3.5 is the negative of 3.5, so it's important to specify which root is meant, depending on the context of the problem.

Answer:

hjd

Step-by-step explanation:

We are tasked with solving the system of equations consisting of two linear equations with three variables. In the solution, we express the answer in general form using a free variable.

The given system of equations can be represented as a matrix equation: AX = 0, where A is the coefficient matrix and X is the column vector of variables [x1, x2, x3].

The coefficient matrix A is:

[2  3  -1]

[1  -1  2]

To solve this system, we need to find the values of x1, x2, and x3 that satisfy the equation AX = 0. This can be done by row reducing the augmented matrix [A | 0].

Performing row operations, we can reduce the augmented matrix to its row echelon form or reduced row echelon form. The resulting matrix will have a row of zeros, indicating the presence of a free variable.

By applying the appropriate row operations, we can find the reduced row echelon form of the augmented matrix. The resulting system will have a free variable, denoted as t.

The general solution will be expressed in terms of the free variable t, and it will involve linear combinations of the column vectors corresponding to the free variable.

To obtain the specific solution for each variable, we express x1, x2, and x3 in terms of t, using the free variable's value to form a vector equation. The specific solution will be given by:

x1 = t

x2 = -2t

x3 = t

Thus, the general form of the solution is [x1, x2, x3] = [t, -2t, t], where t is a free variable.

Learn more about equations here:

https://brainly.com/question/14686792

#SPJ11

The algebraic expression 40(x * x) - 10x is equivalent to the given expression. Therefore, the answer is option A.

An equation can be represented by a linear function. The standard form for the linear equation is: y= mx+b , for example, y=8x+4. Where:

m= the slope.

b= the constant term that represents the y-intercept

For the given example: m=8 and b=4.

The linear equations are considered equivalent when they are equal.

The question gives the algebraic expression  8x * 5x - 5x * 2. When you solving it, you will find: 40x²-10x. Thus, you should find the option that express this result.

Let's solve each option.

40(x *  x) - 10x = 40x²-10 x - this equation is equivalent to the given algebraic expression.

(8 * 5)x - 10(x * x) = 40x-10 x² - this equation is not equivalent to the given algebraic expression.

(8 + 5 - 5)x * 2 = 8x*2=16x - this equation is not equivalent to the given algebraic expression.

30x - this equation is not equivalent to the given algebraic expression.

Read more about the linear equations here:

brainly.com/question/2030026

#SPJ1

Answer:

18.75

Step-by-step explanation:

The formula to find the area of a triangle is

A= \(\frac{1}{2}\)*b*h

The formula to find the area of a rectangle is simply the length times the base.

Here, you can separate the shapes, two triangle and one rectangle to make it easier to find. Subtract 7.5 and 2.5 to get 5, which will be the base measurements for the triangles.

Next, find the area for the triangles: \(\frac{1}{2}\) x 5 x 2.5= 6.25, however, you have two triangles, so multiply by two to get 12.5.

Now, find the area of the rectangle, 2.5 +2.5= 6.25

Lastly, add the measurements together, 12.5 +6.25= 18.75

The percentage of fraudulent responses (class 1 response rate) when the model is applied to the data set generated by oversampling depends on the specific circumstances and cannot be determined without evaluating the model's predictions on the oversampled data set.

The percentage of fraudulent responses (class 1 response rate) when the model is applied to the data set generated by oversampling cannot be determined without specific information about the data set, the model, and the results of applying the model.

Oversampling is a technique used to address class imbalance in a dataset, where the minority class (in this case, fraudulent responses) is underrepresented compared to the majority class. By generating additional samples of the minority class, the data set becomes more balanced.

The actual class 1 response rate after applying the model to the oversampled data set will depend on various factors, such as the performance of the model, the quality of the oversampling technique, the characteristics of the data, and the prevalence of fraudulent responses in the original data set.

To know more about percentage,

https://brainly.com/question/31661667

#SPJ11

Equation which is used to find the distance between the given points A and B for the given θ = 28° is equal to AB = x cos28°.

Diagram is attached.

As given in the question,

Diagram is attached.

Given angle θ = 28°

Hypotenuse = x

Two points A and B is on the base

Base - length = AB

In the given triangle,

Equation represents the distance between two points is:

cosθ = base / hypotenuse

⇒ cos 28° = AB / x

⇒ AB = x cos 28°

Therefore, the equation used to represent the distance between two point A and B is equal to AB = x cos28°.

Learn more about distance here

brainly.com/question/15172156

#SPJ4

Traditionally, a region is defined as a desert if it receives less than 25 centimeters of rain per year. This is based on the fact that deserts are characterized by arid climates, which means that they receive very little rainfall. This lack of water creates a harsh and unforgiving environment that is inhospitable to most forms of life. However, it's important to note that this definition is not set in stone and can vary depending on the context. Some regions with higher rainfall amounts may still be considered deserts due to other factors, such as high evaporation rates and low humidity levels.

The definition of a desert is closely tied to its arid climate, which is characterized by very little rainfall. This lack of water creates a harsh and inhospitable environment that is unsuitable for most forms of life. As a result, the threshold for what is considered a desert is typically set at a certain level of rainfall. Traditionally, this level has been set at less than 25 centimeters per year, although there is some variation depending on the context. Other factors, such as high evaporation rates and low humidity levels, can also contribute to a region being classified as a desert.

In conclusion, a region is traditionally defined as a desert if it receives less than 25 centimeters of rain per year. This definition is based on the fact that deserts are characterized by arid climates, which are created by a lack of water. However, it's important to note that this definition can vary depending on the context and other factors, such as high evaporation rates and low humidity levels, can also contribute to a region being classified as a desert.

To know more about desert visit:

https://brainly.com/question/12556787

#SPJ11

The goal of a hypothesis test is to determine if the data can refuse an assumption a parameter or a population.

Statistical hypothesis test: A statistical hypothesis test is a technique for determining whether the available data are sufficient to support a specific hypothesis. We can make probabilistic claims about population parameters through hypothesis testing.

The purpose of a hypothesis test is to ascertain whether the data can refute a parameter or population assumption.

Learn more about hypothesis tests here

https://brainly.com/question/29432168

#SPJ4

Answer:

The answer is B and C . If you need the method I used to find it, contact me via comments on brainly.

Answer:

B  and C

Step-by-step explanation:

on c i got exactly 25%

but on B i got 23% but B was the closest to 25% than A and D

By linear search, We discovered that element 9 is the seventh in the sequence, meaning that number 9 appears on the list in the sequence 1, 3, 4, 5, 6, 8, 9, 11.

A grouping of numbers in a specific order is known as a sequence. On the other hand, a series is described as the accumulation of a sequence's constituent parts.

Given,

Sequence = 1, 3, 4, 5, 6, 8, 9, 11

By linear search,

The first element is compared to 9 first. If the element's value is less than nine, we compare the subsequent element with nine, and so on.

Step 1: 9 is not the same as 1.

Step 2: 9 is not the same as 3.

Step 3: 9 is not the same as 4

Step 4: 9 is not the same as 5

Step 5: 9 is not the same as 6

Step 6: 8 and 9 are not the same.

Step 7: 9 equals 9.

We discovered that element 9 is the seventh in the sequence, meaning that number 9 appears on the list.

To learn more about sequence, visit:

https://brainly.com/question/21961097

#SPJ4

Answer:

B

Step-by-step explanation:

c=a^2+b^2=9^2+40^2=41

Answer:

Step-by-step explanation:

You want the steps to writing the equation of a line parallel or perpendicular to a given line through a given point.

Given line ax+by=c and point (h, k), you can write equations for the desired lines using the forms:

  a(x -h) +b(y -k) = 0 . . . . . . parallel line

  b(x -h) -a(y -k) = 0 . . . . . . . perpendicular line

If you eliminate parentheses and collect terms, you will have the general form equation of the desired line(s). If you solve for y, you will have the slope-intercept form of the equation.

To use these forms, it is helpful to start with the equation of the given line in standard form, as shown. (It could also be in general form ax+by-c=0.)

Using the above solution, the steps are ...

You will note that the same coefficients are used on the same variables for a parallel line. This is because parallel lines have the same slope.

The coefficient of the variables are swapped, and one of them is negated in the equation for the perpendicular line. This is because perpendicular lines have opposite reciprocal slope.

When the given line is in slope-intercept form, y = mx +b, the slope is readily identified as m, the coefficient of x. For the parallel line, this slope can be used directly in the point-slope equation for a line through a given point:

  y -k = m(x -h) . . . . . . . line with slope m through point (h, k)

This can be rearranged to the slope-intercept form:

  y = mx +(k -mh)

The perpendicular line has opposite reciprocal slope. The line perpendicular to the given line with slope m will have slope -1/m. Then the two forms of equation are ...

  y -k = -1/m(x -h) . . . . . . . . . point-slope form

  y = (-1/m)x +(k +h/m) . . . . . slope-intercept form

__

Additional comment

A standard form equation (ax +by = x) has mutually prime integer coefficients, with a positive leading coefficient. When you have written your equation, you may find it necessary to multiply the equation by some value to put it in this form. For example, -2x +4y = -8 must be multiplied by -1/2 to get the standard form equation x -2y = 4.

You need to be aware of the form required by your grader. The wording "the equation" often means slope-intercept form, or the form matching the given equation or the answer box format.

Answer:

Giant has the better deal

Step-by-step explanation:

4.00/ 12 is .3333333

6.00/20 is .30

so . 30 is less that .3333333333

therefore Giant has the better deal

A vector space is an abstract mathematical concept that is used to describe a collection of elements, known as vectors.

Vector is a mathematical object that has both magnitude and direction. It can be represented graphically by a line segment with a starting point and an endpoint. Vectors are used in physics, engineering, and mathematics to represent physical quantities such as force, velocity, and acceleration. They can also be used to represent geometric figures such as lines, points, and planes. Vectors are important in many applications, such as navigation, graphics, and robotics.

It is an important concept in linear algebra, and is used to describe the behavior of linear equations and systems.

A vector space is made up of a set of vectors, which can be seen as elements of the space. Each vector is a combination of scalar numbers, called components, and the space is made up of all possible combinations of these components. The components can be real numbers, complex numbers, or even functions.

The vector space is defined by certain operations, called vector addition and scalar multiplication. Vector addition is the process of adding two vectors together, and scalar multiplication is a process of multiplying a vector by a scalar number. Using these operations, the vector space can be used to solve linear equations and systems of equations.

The vector space is also used to describe the geometry of the space. It is used to describe dimensions, angles, and distances between vectors. It is also used to describe shapes and objects within the space, and to describe how they interact with each other.

Finally, the vector space is used to represent linear transformations, which are important in physics and engineering. A linear transformation is a process of mapping a vector to another vector, and is used to describe the behavior of physical systems. This can be used to solve complicated equations and systems of equations.

To know more about vector click-

https://brainly.com/question/27854247

#SPJ1

Answer:

If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.

Step-by-step explanation:

The importance and advantage of using graph representation when organizing your data are that it makes data presentable, summarizing, better way of comparison of data.

An organized diagram or pictorial representation of the relationship between values or data is referred to as a graph. it is a a diagram that depicts a variable's variation in comparison to that of one or more other variables, such as a series of points, lines, line segments, curves, or areas.

The following are the three advantages of graphs:

Know more about graphs here: https://brainly.com/question/17267403

#SPJ4

The area of the sector of a circle is 188.4 yards.

What is the area of the sector?

The area of a sector is the space inside the circle formed by two radii and an arc. It is a fraction of the total area of the circle.

A circle sector is a segment or part of a circle made up of an arc and its two radii. A circle's sector can be compared to the shape of a pizza slice. A sector is generated when two circle radii meet at both ends of an arc. An arc is simply a part of the circle's circumference.

Here, we have

Given: Radius = 12 yard

and central angle = 150°

We have to find the area of the sector.

Area of sector = (θ/360°)πr²

= (150/360°)π(12)²

= 60π

= 60×3.14

= 188.4yards.

Hence, the area of the sector of a circle is 188.4 yards.

To learn more about the area of the sector from the given link

https://brainly.com/question/30607726

#SPJ4

There are 2 ways to solve this system: by elimination or by graphing. I will solve it by elimination. First will solve for x.

\(2x - 2y = 6\\3x + 2y = 9\\\\5x = 15\\\\x = 3\\\)

Now we will solve for y using what we got for x.

\(2(3) - 2y = 6\\\\6 - 2y = 6\\\\-2y = 0\\\\y = 0\)

Solution:

A: \((0, 3)\)

Answer:

https://www.mrelisara.com/uploads/5/8/7/3/58736993/chapter_2_review_ws_answers.pdfStep-by-step explanation:

Answer:

THX santa

Step-by-step explanation: