Select ALL expression that are equivalent to 4y +2y +11-2y-7

a. 6y - 2y + 4
b. 6y - 4y + 4
c. 6y - 2y + 18
d. 4y + 4
e. 8y + 4
f. 4y - 4​

The type of nonprobability design that is most likely to yield a representative sample is a stratified random sampling.

In stratified random sampling, the population is divided into distinct subgroups or strata based on certain characteristics or variables that are relevant to the research objective. Then, a random sample is selected from each stratum proportionally to the size or importance of that stratum in the population. This approach ensures that the sample reflects the diversity and heterogeneity of the population.

By stratifying the population and using random sampling within each stratum, the stratified random sampling design increases the likelihood of obtaining a representative sample. It allows for accurate representation of different groups within the population, which can help reduce sampling bias and provide more precise estimates of population characteristics.

However, it's important to note that even with stratified random sampling, there may still be limitations and potential sources of bias. Factors such as nonresponse rates and the accuracy of the population data used for stratification can impact the representativeness of the sample. Nevertheless, when properly implemented, stratified random sampling is a valuable nonprobability design for achieving representativeness in a sample.

Learn more about probability here, https://brainly.com/question/251701

#SPJ11

Let's use the Gauss elimination method to solve the following system: \begin{align*}-3x - y + z &= 0\\2x + 4y - 5z &= -3\\x - 2y + 3z &= 1\end{align*}Firstly,

we'll express the system in the augmented matrix form as follows: \[\begin{bmatrix} -3 & -1 & 1 & | & 0\\ 2 & 4 & -5 & | & -3\\ 1 & -2 & 3 & | & 1 \end{bmatrix}\]We'll begin by using row operations to transform the matrix into a triangular form, where the leading coefficient of each row (except for the first row) is 1. $$\begin{aligned} \begin{bmatrix} -3 & -1 & 1 & | & 0\\ 2 & 4 & -5 & | & -3\\ 1 & -2 & 3 & | & 1 \end{bmatrix} &\sim \begin{bmatrix} -3 & -1 & 1 & | & 0\\ 0 & 10 & -13 & | & -3\\ 0 & -1 & 2 & | & 1 \end{bmatrix} \quad \text{(R2 + 2R1)}\\ &\sim \begin{bmatrix} -3 & -1 & 1 & | & 0\\ 0 & 10 & -13 & | & -3\\ 0 & 0 & \frac{7}{5} & | & -\frac{1}{5} \end{bmatrix} \quad \text{(R3 + (1/10)R2)} \end{aligned}$$Now, we'll use back-substitution to obtain the values of x, y, and z. \begin{align*} \frac{7}{5}z &= -\frac{1}{5} \\ \Rightarrow z &= -\frac{1}{7} \\ 10y - 13z &= -3 \\ \Rightarrow 10y - 13\left(-\frac{1}{7}\right) &= -3 \\ \Rightarrow 10y + \frac{13}{7} &= -3 \\ \Rightarrow 10y &= -\frac{34}{7} \\ \Rightarrow y &= -\frac{17}{35} \\ -3x - y + z &= 0 \\ \Rightarrow -3x - \left(-\frac{17}{35}\right) - \frac{1}{7} &= 0 \\ \Rightarrow -3x &= \frac{8}{35} \\ \Rightarrow x &= -\frac{8}{105} \end{align*}Therefore, the solution to the given system is: $$\boxed{x = -\frac{8}{105}, \, y = -\frac{17}{35}, \, z = -\frac{1}{7}}$$

To know more about Gauss elimination visit:

https://brainly.com/question/30760531

#SPJ11

The system of linear equations is given by: \($$\begin{aligned}-3x - y + z &= 0 \\2x + 4y - 5z &= -3 \\x - 2y + 3z &= 1\end{aligned}$$I\)n the Gauss elimination process, we try to transform the system of equations in such a way that the equations become easier to solve.

We do this by adding or subtracting the equations to eliminate one of the variables. The steps to solve the given system by using the Gauss elimination are as follows:

Step 1: Write the augmented matrix for the system. The augmented matrix for the given system is:

\($$\left[\begin{array}{ccc|c}-3 & -1 & 1 & 0 \\2 & 4 & -5 & -3 \\1 & -2 & 3 & 1\end{array}\right]$$\)

Step 2: Add 2 times the first row to the second row. We add 2 times the first row to the second row to eliminate the coefficient of x in the second equation. The matrix after this operation is:$$\left[\begin{array}{ccc|c}-3 & -1 & 1 & 0 \\0 & 2 & -3 & -3 \\1 & -2 & 3 & 1\end{array}\right]$$

Step 3: Add 3 times the first row to the third row. We add 3 times the first row to the third row to eliminate the coefficient of x in the third equation. The matrix after this operation is:

\($$\left[\begin{array}{ccc|c}-3 & -1 & 1 & 0 \\0 & 2 & -3 & -3 \\0 & -5 & 6 & 1\end{array}\right]$$Step 4: Add $\frac{5}{2}$\)times the second row to the third row.

We add $\frac{5}{2}$ times the second row to the third row to eliminate the coefficient of $y$ in the third equation.

To know more about elimination visit:

https://brainly.com/question/32403760

#SPJ11

Answer:

0.00558

Step-by-step explanation:

Answer: Q = 9

5q - 4q = 9 (Combine like terms)

q = 9

Step-by-step explanation:

The inverse of the functions are f⁻¹(x) = 2/[3(x + 4)], f⁻¹(x) = √[(x + 1)/2] and f⁻¹(x) = 1/x + 1

Function (a)

This function is given as

f(x)=2/(3x) - 4

The function needs to be represented as an equation

So, we have

y = 2/(3x) - 4

Swap the positions of x and y

x = 2/(3y) - 4

So, we have

2/(3y) = x + 4

Take the reciprocal of both sides

3y/2 = 1/(x + 4)

Multiply both sides by 2/3

y = 2/[3(x + 4)]

So, the inverse function is

f⁻¹(x) = 2/[3(x + 4)]

The inverse is a function with the domain x ≠ -4 and range of f(x) ≠ 0

See attachment 1 for the graphs

Function (b)

This function is given as

f(x) = 2x² - 1

The function needs to be represented as an equation

So, we have

y = 2x²- 1

Swap the positions of x and y

x = 2y² - 1

So, we have

2y²= x + 1

Divide both sides by 2

y²= 1/2(x + 1)

Take the square roots

y= √[(x + 1)/2]

So, the inverse function is

f⁻¹(x) = √[(x + 1)/2]

The inverse is a function with the domain x ≥ -1 and range of f(x) ≥ 0

See attachment 2 for the graphs

Function (c)

This function is given as

f(x) = 1/(x - 1)

The function needs to be represented as an equation

So, we have

y = 1/(x - 1)

Swap the positions of r and y

x = 1/(y - 1)

So, we have

y - 1 = 1/x

Add 1 to both sides

y = 1/x + 1

So, the inverse function is

f⁻¹(x) = 1/x + 1

The inverse is a function with the domain x ≠ 0 and range of f(x) ≠ 1

See attachment for the graphs

Read more about inverse functions at

brainly.com/question/14796161

#SPJ1

To find vectors u and v such that W=Span{u,v}, first we need to find two linearly independent vectors that span W. From the given vector, we can see that -2s-4t, -5s-t, 2s-t, and 2s+5t are the components of our vector. To find two linearly independent vectors, we will solve the system of equations below:

-2s - 4t = a1
-5s - t = a2
2s - t = a3
2s + 5t = a4

Solving for s and t in terms of a1, a2, a3, and a4, we get:

s = (5a2 + 4a3 - a4)/9
t = (a1 + 2a2 - a3 - 5a4)/9

Substituting these values into the original vector gives us two linearly independent vectors u and v, which span W.

u = ⎡⎣⎢⎢⎢⎢⎢⎢⎢[ -2(5a2 + 4a3 - a4)/9 -4(a1 + 2a2 - a3 - 5a4)/9 ⎤⎦⎥⎥⎥⎥⎥⎥⎥]
-5(5a2 + 4a3 - a4)/9 -(a1 + 2a2 - a3 - 5a4)/9
2(5a2 + 4a3 - a4)/9 -(a1 + 2a2 - a3 - 5a4)/9
2(5a2 + 4a3 - a4)/9 + 5(a1 + 2a2 - a3 - 5a4)/9

v = ⎡⎣⎢⎢⎢⎢⎢⎢⎢[ a1 ⎤⎦⎥⎥⎥⎥⎥⎥⎥]
a2
a3
a4

Therefore, the vectors u and v such that W=Span{u,v} are:

u = ⎡⎣⎢⎢⎢⎢⎢⎢⎢[ -2(5a2 + 4a3 - a4)/9 -4(a1 + 2a2 - a3 - 5a4)/9 ⎤⎦⎥⎥⎥⎥⎥⎥⎥]
-5(5a2 + 4a3 - a4)/9 -(a1 + 2a2 - a3 - 5a4)2(5a2 + 4a3 - a4)/9 -(a1 + 2a2 - a3 - 5a4)/9
2(5a2 + 4a3 - a4)/9 + 5(a1 + 2a2 - a3 - 5a4)/9

v = ⎡⎣⎢⎢⎢⎢⎢⎢⎢[ a1 ⎤⎦⎥⎥⎥⎥⎥⎥⎥]
a2
a3
a4

To know more about vectors, refer here:

https://brainly.com/question/29740341#

#SPJ11

Answer:

  39°

Step-by-step explanation:

It is the same measure as the one labeled 6x-9, since these are vertical angles.

  4x +7 = 6x -9

  16 = 2x . . . . . . . . add 9-4x

  8 = x

  4x+7 = 4(8) +7 = 39

The angle is 39°.

Control limits are based on multiples of the sample statistic's standard deviation, hence the assertion is false that "control limits are based on multiples of the process standard deviation".

A control chart is made up of many different parts. There are two control limitations. The top dashed line represents the upper control limit (UCL), and the bottom dashed line represents the lower control limit (LCL).The solid middle line denotes the statistic's average for the plot.

The horizontal lines known as control limits in a control chart show the upper and lower limits of the acceptable range of results for a process. When plotted data goes over a control limit, a process is out of control and requires management action. The control limits are defined as three standard deviations on either side of the mean.

Visit here to learn more about Standard deviation: https://brainly.com/question/23907081

#SPJ4

The equation of the line is y = -2x + 3, which represents a line with a slope of -2 and a y-intercept of 3. Option A

The equation of a line is typically written in the form y = mx + b, where m represents the slope of the line and b represents the y-intercept (the point where the line intersects the y-axis).

Among the given options, the equation y = -2x + 3 corresponds to the line with a slope of -2 and a y-intercept of 3. This means that for every increase of 1 in the x-coordinate, the y-coordinate will decrease by 2 units. The y-intercept indicates that the line intersects the y-axis at the point (0, 3).

Option A, y = -2x + 3, is the equation that satisfies these conditions and represents the line accurately.

Therefore, the equation of the line is y = -2x + 3

learn more about slope here:

https://brainly.com/question/3605446

#SPJ11

1,873

Step-by-step explanation:

Answer:

A. ∠EYL and ∠AYS

B. ∠SYL and ∠EYA

Step-by-step explanation:

hope this helps and hope this is right. p.s i really need brainliest :)

Answer:

-4

Step-by-step explanation:

If you look on the x axis (Horizontal) the line hits the graph at -4

Answer:

The answer should be A. I think. Hope it helps

Step-by-step explanation:

Answer:

The unknown number is 13 less than 47.

13+15= 28

so that means 47-13 has to happen

Answer:

24

Step-by-step explanation:

Answer:24

explanation

1/3Answer:

Step-by-step explanation:

Displacement is the length of the straight line drawn from an object’s initial position to the object’s final position

The term "displacement" refers to a change in an object's position. It is a vector quantity with a magnitude and direction. The symbol for it is an arrow pointing from the initial position to the ending position. For instance, if an object shifts from position A to position B, its position changes.

If an object moves with respect to a reference frame, such as when a passenger moves to the back of an airplane or a professor moves to the right with respect to a whiteboard, the object's position changes. This change in location is described as displacement.

The displacement is the shortest distance between an object's initial and final positions. Displacement is a vector. It is visualized as an arrow that points from the initial position to the final position, indicating that it has both a direction and a magnitude.

Learn more about displacement at:

https://brainly.com/question/14422259

#SPJ4

Answer:

5 1/8 - 2 5/6

Step-by-step explanation:

Answer: 2  7 /24

Answer:

2 7/24

Step-by-step explanation:

let’s go ahead and make these fractions have the same denominator.

1/8 and 5/6

what multiple do they share?

8 * 3 = 24

6 * 4 = 24

we will change their denominators to 24.

Now to change the numerator you have to multiply it by what you multiplied the denominator by:

1/8 * 3/3 = 3/24

5/6 * 4/4 = 20/24

now we will add the whole numbers to the fraction:

5/1 * 24/24 = 120/24

2/1 * 24/24 = 48/24

now add these to the correct fraction:

120/24 + 3/24 = 123/24

48/24 + 20/24 = 68/24

Now subtract!

123/24 -68/24 = 55/24

Simplify:

55/24 = 2 7/24

The value of the expression x²-2(x-y)-z³ is 24.

One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.

Given;

Expression x²-2(x-y)-z³

To find the value of the expression:

If x = -3, y=4 and z = -1.

Substituting the values to the expression,

x²-2(x-y)-z³

= (-3)²-2(-3-4)-(-1)³

= 9 + 14 - (-1)

= 9+14+1

= 24

Therefore, 24 is the value of the expression.

To learn more about the expression;

brainly.com/question/24242989  

#SPJ1

Answer: a and d

Step-by-step explanation:

(to find all points of discontinuity, set denominator equal to zero and solve)

\(x^2-7x+10=0\\\\\)

(to factor, find two numbers when added together equal -7 and when multiplied together equal 10)

-2 + -5 = -7

-2(-5) = 10

-2 and -5 are the two numbers

\((x-2)(x-5)=0\\\\x-2=0\\x=2\\\\x-5=0\\x=5\\\\x=2,5\)

The length of the opposite side is -12, and the length of the adjacent side is 5, which gives us the coordinates (-5, -12) for the terminal point.

The statement "tan0=-12/5, csc0=-13/5, and the terminal point determined by 0 is in quadrant 3" refers to a right-angled triangle whose hypotenuse is 5.

The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side. Therefore, in this case, the opposite side has a length of -12 and the adjacent side has a length of 5.

This is because tangent is negative in the third quadrant, which means the opposite and adjacent sides have opposite signs. The csc of an angle is the ratio of the hypotenuse to the opposite side.

In this case, the opposite side has a length of -13 because csc is also negative in the third quadrant, which means the hypotenuse and opposite sides have opposite signs.

To determine the coordinates of the terminal point, we can use the Pythagorean theorem.

The sum of the squares of the lengths of the sides of a right-angled triangle is equal to the square of the length of the hypotenuse. We know that the hypotenuse has a length of 5.

Therefore, the square of the length of the opposite side is 144 (12 squared) and the square of the length of the adjacent side is 25. Adding these gives us 169, which is the square of the length of the hypotenuse.

To learn more about : length

https://brainly.com/question/28322552

#SPJ8

The distribution (or scattering) of IQ scores approximates a bell-shaped curve, also called a normal distribution or Gaussian distribution.

Normal distribution, also known as Gaussian distribution, is a type of probability distribution that is commonly used in statistical analysis. It is a continuous probability distribution with a bell-shaped curve that is symmetrical around the mean, or average, of the data.

The shape of the normal distribution curve is determined by two parameters: the mean and the standard deviation. The mean represents the central tendency of the data, while the standard deviation measures the spread of the data around the mean. The standard deviation also determines the width of the curve. In a normal distribution, about 68% of the data falls within one standard deviation of the mean, about 95% falls within two standard deviations of the mean, and about 99.7% falls within three standard deviations of the mean.

To learn more about Normal distribution visit here:

brainly.com/question/29509087

#SPJ4

The weight of this pack of gum is heavier than the mean weight by 3.11 standard deviations.

The supplied z-score of 3.11 can be best translated as "This pack of gum weighs 3.11 standard deviations more than the mean weight." A z-score indicates how many standard deviations an observation is from the population mean. When an observation has a positive z-score, it is above the mean; when it has a negative z-score, it is below the mean. The selected pack of gum weighs more than the population's mean weight because the specified z-score is positive. Furthermore, a z-score of 3.11 means that the pack of gum weighs 3.11 standard deviations more than the population's mean weight.

Learn more about standard deviations here:

brainly.com/question/23907081

#SPJ1

Answer:

\(\frac{359}{3}\) or \(119~\frac{2}{3}\)

Step-by-step explanation:

Let \(x=a+b\). Then, the expression just reduces to \(2x+\frac{x}{6}+x^2-2\).

But we know that \(a+b=x=10\)!

Plugging in for \(x\) gives \(2(10)+\frac{10}{6}+10^2-2=20+\frac{5}{3}+100-2=118+\frac{5}{3}=\frac{359}{3}\).

So, the answer is \(\boxed{\frac{359}{3}}\) and we're done!

Answer:

\({ \rm{2(a + b) + \frac{a + b}{6} + {(a + b)}^{2} - 2}} \\ \)

• substitute (a + b) with 10:

\( = { \tt{2(10) + \frac{10}{6} + {(10)}^{2} - 2 }} \\ \\ = { \tt{20 + \frac{10}{6} + 100 - 2}} \\ \\ { \boxed{ \tt{ = 119 \frac{2}{3} }}}\)

Answer:

10.5

Step-by-step explanation:

Unit test on edge 2021

The value of x from the figure is 10.5cm

Find the diagram attached

From the given diagram

tan 55 = 15/b

Given that tan 55 = 1.4281, hence;

1.4281 = 15/b

b = 15/1.4281

b  = 10.5cm

Hence the value of x from the figure is 10.5cm

Learn more on SOH CAH TOA here:https://brainly.com/question/20734777

Answer: I think u have to take away 12 from 36

Answer:

she will use 3 cups of milk

because 12 divided by 3 equals 12

Step-by-step explanation:

The percentage of category shelf facings for Brand F is 10% out of the total facings allotted for all brands in that category, based on the information provided.

To calculate the percentage of category shelf facings for Brand F, we need to determine the proportion of shelf facings allotted to Brand F out of the total facings allotted for all brands in that category.
Company U has 100 outlets, and half of those outlets carry Brand F. This means that there are 50 outlets that carry Brand F.
Out of the 50 facings allotted for all brands in that category, Company U allots Brand F 5 shelf facings.
To find the percentage, we divide the facings allotted to Brand F (5) by the total facings allotted for all brands in the category (50), and then multiply by 100 to express it as a percentage.
(5 facings / 50 facings) * 100 = 10%
Therefore, the percentage of category shelf facings for Brand F is 10%. This indicates that Brand F occupies 10% of the available shelf space in the category across Company U's outlets.



learn more about percentage here

https://brainly.com/question/33098852



#SPJ11

The best estimate for the circumference of a circle with 3 units radius is equal to 18 units. The correct option is A.

Given the radius of the circle is equal to 3 units.

The formula for the circumference of the circle is equal to

\(C=2*\pi *r\).

By substituting the value of the radius and pi we will get:

\(C=2*3.14*3\\C=18.86\).

Therefore the best estimate will be 18 units.

Complete question:

Which is the best estimate of the circumference of this circle?

radius = 3 units.

To learn more about the circumference of the circle, refer to the link below:

brainly.com/question/13941405

#SPJ1

The function rule for this scenario can be written in slope-intercept form as: y = 6x + 30.

A function rule can be written in slope-intercept form using the unit rate or slope (m), and the starting value/initial value or y-intercept (b). The values of m and b, when determined, are simply plugged into the equation, y = mx + b.

We are given that the design fee that is charged by the cloth designer is a fixed fee of $30. This means that the starting value or y-intercept (m) is 30.

From the problem, we are also given that the additional charge per shirt printed is $6, this also implies that the slope or unit rate (m) of the function is 6.

To write a function rule in slope-intercept form, substitute m = 6 and b = 30 into y = mx + b:

y = 6x + 30.

The function rule for the cost of t-shirt produced based on the number of shirts is expressed as: y = 6x + 30.

Learn more about function rule on:

https://brainly.com/question/1528097

#SPJ1

Answer:

1.2+0.75=1.95 pounds

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

x+x=90

2x=90 ,x=45 ,∆BAD=45