Give the angle pair name to justify your work equation setup and solve for x.
6x - 24 2x + 12°

The measure of the amount of random sampling error in a survey's result is known as margin of error.

The margin of error is a statistical concept that quantifies the degree of uncertainty or sampling error associated with survey results. It provides an estimate of the range within which the true population parameter is likely to fall. The margin of error is typically expressed as a percentage and is based on the sample size and the level of confidence desired.

In survey research, random sampling error refers to the natural variability that occurs when a subset of individuals, known as the sample, is selected to represent a larger population. It arises because the sample is not an exact replica of the entire population. The margin of error takes into account this inherent variability and provides a measure of how much the survey results might deviate from the true population values.

A larger sample size generally leads to a smaller margin of error, as it reduces the random variability associated with sampling. Similarly, a higher level of confidence, such as 95% confidence level, results in a larger margin of error to account for a wider range of potential values.

By considering the margin of error, survey researchers can assess the reliability and precision of their findings, providing a range of values within which the true population parameter is likely to reside.

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The solution of the expression is Z/57

A ring is a mathematical structure that combines the properties of an additive group with the properties of a multiplicative group.

When we look at solutions to the equation x² = 7 in different rings, we are asking "In what mathematical structures can we find numbers which, when squared, equal 7?"

(a) In the ring Z/19, the solutions are the residue classes modulo 19 that satisfy x² = 7. This means that we only consider the integers 0, 1, 2, ..., 18, and we take their remainders after dividing by 19. In this ring, we use the operations of addition and multiplication modulo 19.

(b) In Z/21, the equation x² = 7 has no solutions. This is because none of the remainders 0, 1, 2, ..., 20 after dividing by 21 can be squared to give 7.

(c) In Z/57, the equation x² = 7 has exactly 2 solutions. This is because there are exactly two residue classes modulo 57 that, when squared, give 7. To find these two solutions, we would need to perform a bit of calculation to determine which residues satisfy x² = 7.

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Answer:

3,5

Step-by-step explanation:

As per the mentioned informations, there are 4 slip planes associated with each of the 3 unique <111> directions, giving a total of 12 unique {110} slip planes in a body-centered cubic (BCC) crystal

In a body-centered cubic (BCC) crystal, there are 12 slip systems of the {110} type. Each of these slip systems is associated with a unique slip plane.

To understand why there are 12 slip systems, consider that the {110} plane has two perpendicular <111> directions, which are the directions of maximum atomic density in a BCC crystal. Each of these <111> directions can be associated with four equivalent {110} slip planes, which intersect at a line that lies along the <111> direction.

Therefore, there are 4 slip planes associated with each of the 3 unique <111> directions, giving a total of 12 unique {110} slip planes in a BCC metal.

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Answer: 194

Step-by-step explanation:

From the volumes, we deduce that the side lengths of the cubes are 1 cm, 2 cm, 3 cm, and 5 cm. We position the cubes as follows:

[asy]

unitsize(0.5 cm);

draw((0,0)--(5*dir(-30))--(5*dir(-30) + 5*dir(30))--(10*dir(-30))--(5*dir(-30) + 5*dir(-90))--(5*dir(-90))--(0,0));

draw((5*dir(-30))--(5*dir(-30) + 5*dir(-90)));

draw((0,0)--(0,2)--((0,2) + 2*dir(-30))--(2*dir(-30)));

draw((0,2)--((0,2) + 2*dir(30))--((0,2) + 2*dir(30) + 2*dir(-30))--(2*dir(30)));

draw((2*dir(-30))--(2*dir(-30) + dir(30))--(2*dir(-30) + dir(30) + (0,1))--(2*dir(-30) + 2*dir(30) + (0,1))--(2*dir(-30) + 2*dir(30) + (0,2)));

draw((2*dir(-30) + dir(30))--(3*dir(-30) + dir(30))--(3*dir(-30) + dir(30) + (0,1))--(2*dir(-30) + dir(30) + (0,1)));

draw((3*dir(-30) + dir(30) + (0,1))--(3*dir(-30) + 2*dir(30) + (0,1))--(2*dir(-30) + 2*dir(30) + (0,1)));

draw((2*dir(30) + (0,2))--(2*dir(30) + (0,3))--(2*dir(30) + 3*dir(-30) + (0,3))--(2*dir(30) + 3*dir(-30))--(dir(30) + 3*dir(-30)));

draw((2*dir(30) + (0,3))--(5*dir(30) + (0,3))--(5*dir(30) + 3*dir(-30) + (0,3))--(5*dir(30) + 3*dir(-30))--(5*dir(30) + 5*dir(-30)));

draw((3*dir(-30) + 2*dir(30))--(3*dir(-30) + 5*dir(30)));

draw((3*dir(-30) + 2*dir(30) + (0,3))--(3*dir(-30) + 5*dir(30) + (0,3)));

[/asy]

The surface area of a cube with side length $s$ is $6s^2$, so the total surface area of the cubes is $6 \cdot 1^2 + 6 \cdot 2^2 + 6 \cdot 3^2 + 6 \cdot 5^2 = 234$.

Note that every pair of cubes touches, and furthermore, they have maximum contact. (This is why this solid has the smallest possible area.) The area of contact of the 1-cube and the 2-cube is 1 square centimeter, so we must subtract this twice from 234 (because this portion of the area from both the 1-cube and 2-cube is not seen anymore).

Doing this for every pair of cubes, we find that the surface area of this solid is $234 - 2 \cdot 1^2 - 2 \cdot 1^2 - 2 \cdot 1^2 - 2 \cdot 2^2 - 2 \cdot 2^2 - 2 \cdot 3^2 = \boxed{194}$.

The expressions are:
- Francisco's distance: x
- Meredith's distance: x
- Total distance: 2x
- Distance between Francisco and Meredith: 230 - 2x.

To answer your question, let's break it down into the different expressions:

1. The expression that represents the number of feet Francisco has walked toward Meredith since they started walking can be written as x.

2. The expression that represents the number of feet Meredith has walked toward Francisco since they started walking can also be written as x.

3. The expression that represents the total number of feet Francisco and Meredith have walked toward one another since they started walking can be written as x + x, which simplifies to 2x.

4. The expression that represents the distance between Francisco and Meredith can be written as 230 - (x + x), which simplifies to 230 - 2x.

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The area of the region that lies inside both curves  r = sin(2), r = cos(2 is:

0.266 square units.

For the area of the region that lies inside both curves, we need to determine the bounds for the angle θ.

We can do this by finding the points of intersection of the two curves.

r = sin(2) and r = cos(2) intersect when:

sin(2) = cos(2)

We can simplify this equation using the identity sin^2(x) + cos^2(x) = 1:

sin(2) = cos(2)

sin(2) = sin(π/2 - 2)

2 = π/2 - 2

π/4 = 2

So the curves intersect at θ = 2 and θ = π/2 - 2.

The area of the region can be found by integrating the function r with respect to θ over these bounds:

A = ∫[2, π/2 - 2] (1/2)r^2 dθ

We can express r in terms of θ using the identities:

sin(2θ) = 2sin(θ)cos(θ)

cos(2θ) = cos^2(θ) - sin^2(θ)

For the curve r = sin(2), we have:

r = sin(2θ) = 2sin(θ)cos(θ)

For the curve r = cos(2), we have:

r = cos(2θ) = cos^2(θ) - sin^2(θ) = 1 - 2sin^2(θ)

So the area of the region is:

A = ∫[2, π/2 - 2] (1/2)[sin^2(2θ) - (1 - 2sin^2(θ))^2] dθ

We can simplify this expression by expanding the second term:

A = ∫[2, π/2 - 2] (1/2)(sin^2(2θ) - 1 + 4sin^4(θ) - 4sin^2(θ)) dθ

A = ∫[2, π/2 - 2] (1/2)(4sin^4(θ) - 3sin^2(θ) - 1/2) dθ

Now we can integrate each term separately:

A = [4/5 sin^5(θ) - sin^3(θ)/3 - 1/2θ] [2, π/2 - 2]

A = [4/5 sin^5(π/2 - 2) - sin^3(π/2 - 2)/3 - π/4 + 1] - [4/5 sin^5(2) - sin^3(2)/3 - 2]

Using a calculator, we get:

A = 0.266 square units.

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A substitute is a good or service that buyers can quickly swap out for another. For instance, a one-dollar bill can be used in place of another dollar bill.

In business and economics, a replacement, or substitutable good, is a good or service that consumers perceive as just being substantially the same as or reasonably similar to some other good. Consumers are given options and alternatives through substitutes, which also spur competition and lower prices in the market.

Here are a few examples of replacement goods:

1. A $1 bill can be exchanged for four quarters.

2. Coke against Pepsi

3. Regular vs. premium gas

4. Butter and lard

5. Tea and coffee

6. Apples and oranges

7. Comparing driving a car to riding a bike

8. Books in general and e-books

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Answer:becayse djr d,mstud bdn dhg furfhtb-=gvg

Step-by-step explanation:

Answer:

c = -22, 22

Step-by-step explanation:

\( {(x - 11)}^{2} = {x}^{2} - 22x + 121\)

\( {(x + 11)}^{2} = {x}^{2} + 22x + 121\)

Answer:

-6

Step-by-step explanation:

Answer: See below.

Step-by-step explanation:

1) x=49

2) x=-16

3) x=6/11

4) x=3

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Answer:

1)  x = 49

2)  x = -16

3)  x = ⁶/₁₁

4)  x = 3

Step-by-step explanation:

72 = x - (-23)

Apply rule -(-a) = a :

⇒ 72 = x + 23

Subtract 23 from both sides:

⇒ 72 - 23 = x + 23 - 23

⇒ 49 = x

⇒ x = 49

-5x - (7 - 4x) = 9

Apply rule -(a - b) = -a + b :

⇒ -5x - 7 + 4x = 9

Collect and combine like terms:

⇒ -5x + 4x - 7 = 9

⇒ -x - 7 = 9

Add 7 to both sides:

⇒ -x - 7 + 7 = 9 + 7

⇒ -x = 16

Divide both sides by -1:

⇒ -x ÷ -1 = 16 ÷ -1

⇒ x = -16

8x + 6 = 3(4 - x)

Distribute:

⇒ 8x + 6 = 12 - 3x

Add 3x to both sides:

⇒ 8x + 6 + 3x = 12 - 3x + 3x

⇒ 11x + 6 = 12

Subtract 6 from both sides:

⇒ 11x + 6 - 6 = 12 - 6

⇒ 11x = 6

Divide both sides by 11:

⇒ 11x ÷ 11 = 6 ÷ 11

⇒ x = ⁶/₁₁

¹/₂(4x - 16) = -2

Distribute:

⇒ 2x - 8 = -2

Add 8 to both sides:

⇒ 2x - 8 + 8 = -2 + 8

⇒ 2x = 6

Divide both sides by 2:

⇒ 2x ÷ 2 = 6 ÷ 2

⇒ x = 3

Answer:

The coordinates of the point Q is (4, 1)

Step-by-step explanation:

The given parameters are;

The directed line segment  extends from R(-2, 4), to S(18, -6)

The ratio in which the point Q partitions the directed line segment = 3:7

Therefore, the proportions of the R to Q = 3/(3 + 7) = 3/10 the length of RS

Which gives;

(-2 + (18-(-2))×3/10,  4 +(-6 -4)×3/10) which is (4, 1)

The coordinates of the point Q = (4, 1)

We check the length from R to S is given by the relation for length as follows

\(l =\sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}\)

Where;

R(-2, 4) = (x₁, y₁)

S(18, -6) = (x₂, y₂)

Length of segment RS  = 22.36

length from R to Q = 6.7086

We check RQ/RS = 6.7082/22.36 = 0.3

Also QS/RS = (22.36 - 6.7082)/22.36 = 0.6999≈ 0.7

The coordinates of the point Q = (4, 1).

Answer: The answer is 12%

Step-by-step explanation:

Answer:

A.)  THE COST INCREASE IS 12%.

Step-by-step explanation:

Answer:

39/52

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

14 2,7

21 3,7

The answer through which all the value of the given relation satisfied the relation is period decreases, frequency increases and reflected in y - axis.

What about frequency?

In mathematics, frequency is a term used in statistics to describe how often a particular value or set of values appears in a dataset. Specifically, frequency refers to the number of times a particular data point or value occurs in a dataset.

For example, consider a dataset of test scores for a class of students. The frequency of a particular score (e.g., 80%) would be the number of students who received that score. The frequencies can be used to create a frequency distribution, which is a table that shows the frequency of each value or group of values in a dataset.

According to the given information:

In the given condition as the value of B increases, the periodic function decreases and the frequency of the function increases where as, when the value of B is negative, the graph of the function reflected in y-axis.

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Answer: He will have enough paint to put one coat of paint on all of the tables.

Answer:

234

Step-by-step explanation:

1950 x 0.88 = 1716 paid

1950-1716 = 234

b. The correlation coefficient for this data-set is given as follows: r = -0.9877.

c. The correlation between the variables x and y is strong negative.

The correlation coefficient is an index between -1 and 1 that measures the relationship between two variables, as follows:

A data-set is composed by a set of points, and these points are inserted into a correlation coefficient calculator to obtain the coefficient.

From the table described in this problem, the points are given as follows:

(1, 9), (2, 7), (3,6), (4, 1), (7, -2), (8, -5) and (10, -8).

Inserting these points into a calculator, the coefficient is given as follows:

r = -0.9877.

Hence it is a negative and strong relationship, as the absolute value of r is of 0.9877 > 0.6.

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Answer:

9

Step-by-step explanation:

What you do if first you draw your rectangle. You name length as x (as told in the question) and width as x-3 (since the width is 3 feet less). To obtain the area you have to do x × (x-3) because to find area you do length × width right.

So area is x(x-3) and it also tells you that area is 54 there

That's how you get x(x-3)=54

Now to solve it, you have to expand

x(x-3)=54

x²-3x-54 = 0 (you have to factorise this now)

(x+6) or (x-9) = 0

x = -6 or x = 9

As you can see you have two answers there. We have to eliminate the -6 because length can never be negative. The logic is simple, any length you take for example on a ruler (it has to be 0 or above) you can measure 1 feet, 2 feet, even 100 feet but you can't measure less than 0 right?

So the final answer is that x=9 and x represents the length

So length = 9

Answer:

B

Step-by-step explanation:

it's going to be as follows: you are going to take the current price of the shares which is $291,20 and ÷ it by the number of shares

The median days stayed for these patients is 9 days.

To find the median days stayed for these thirteen patients, we first need to arrange the days of stay in order from least to greatest: 1, 3, 4, 5, 7, 8, 9, 10, 11, 13, 17, 21, 25.
The median is the middle value in this list, which is the value that has an equal number of values above and below it. Since we have an odd number of values, the median is simply the middle value, which in this case is 10.
Therefore, the median days stayed for these thirteen patients was 10.
The median days stayed for the thirteen patients discharged from the medical service on August 15 can be found by first arranging the data in numerical order and then identifying the middle value. The given days of stay for each patient are: 17, 3, 4, 25, 8, 7, 13, 10, 5, 11, 9, 21, and 1.
Arrange the data in ascending order: 1, 3, 4, 5, 7, 8, 9, 10, 11, 13, 17, 21, 25.
Since there are 13 patients, an odd number, the median will be the middle value, which is the 7th value in the ordered list.

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Answer:

x ≈ 33.1°

Step-by-step explanation:

using the sine ratio in the right triangle

sin x = \(\frac{opposite}{hypotenuse}\) = \(\frac{12}{22}\) , then

x = \(sin^{-1}\) ( \(\frac{12}{22}\) ) ≈ 33.1° ( to the nearest tenth of a degree )

Answer:

-100 > -101

Step-by-step explanation:

-100 > -101

Reason:

The negative number which is more closer to Zero it is always bigger than other.

-TheUnknownScientist

Answer:

  circumcenter

Step-by-step explanation:

You want to know the name of the point equidistant from the vertices of a triangle.

The circle that passes through the vertices of a triangle is called a "circumcircle". It circumscribes the triangle. Its center is equidistant from all points on the circle, so is equidistant from the triangle's vertices.

The point equidistant from the vertices of a triangle is the circumcenter.

__

Additional comment

The circumcenter is at the intersection of the perpendicular bisectors of the sides of the triangle.

Answer:

IT HAS 4 MORE THAN

Step-by-step explanation:

IT IS BCUZ HEXAGON HAS 6

DECAGON- 10

10-6=4

Answer: 18

Step-by-step explanation:

12 divided by 2 = 6

6 x 3 = 18

Answer:

the answer is 18

Step-by-step explanation:

this is because 12 divided by 2 = 6

6 x 3 = 18