Find the exact value of sin(2) under given condition

In total, there are 6 * 6! = 720 different ways for the group of 7 people to sit in the row.

The total number of ways to arrange a group of n people in a row is n!, which is the product of all the integers from 1 to n. However, in this case, we have a constraint that one of the people must sit next to an aisle. To find the number of ways to arrange the group of people given this constraint, we first need to determine the number of ways for the person who needs to sit next to the aisle to be placed.

Since there are 7 seats in the row, and the person must sit next to an aisle, there are 6 different spots where they can sit (either in the first seat, second seat, etc. up to the sixth seat). Once that person is placed, we can use the formula n! to find the number of ways to arrange the remaining people. In this case, there are 6 people remaining, so there are 6! ways to arrange them. To find the total number of ways to arrange the group of 7 people given the constraint, we multiply the number of ways to place the person next to the aisle (6) by the number of ways to arrange the remaining people (6!). So, 6*6! = 720.

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In a linear equation, the value of Y when X is 0 is called the y-intercept, not the slope.

In order to determine whether the differences between group means are statistically significant, ANOVA examines the differences between groups.

ANOVA, which stands for Analysis of Variance, is a statistical method used to compare the means of two or more groups.

It analyzes the variability between group means and within group variability to assess whether there are significant differences among the groups.

The main idea behind ANOVA is to compare the variation between groups with the variation within groups.

If the variation between groups is significantly larger than the variation within groups, it suggests that there are meaningful differences among the groups.

This implies that the differences between group means are statistically significant, indicating that the groups are not just randomly different.

ANOVA achieves this by calculating an F-statistic, which is the ratio of the variability between groups to the variability within groups.

If the F-statistic is large enough to exceed a critical value based on the chosen significance level, it indicates that the group means are significantly different.

Regarding the statement about a linear equation, it is incorrect.

In a linear equation, the value of Y when X is 0 is called the y-intercept, not the slope.

The slope refers to the rate of change of Y with respect to changes in X.

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The probability that the sample mean score is between 525 and 553 is approximately 0.3873.to calculate the probability that the sample mean score falls between 525 and 553 in a given year, where the mean mathematics SAT score is 550 and the standard deviation is 124, we can use the normal distribution.

To calculate the probability, we first convert the sample mean scores of 525 and 553 to z-scores using the formula z = (x - μ) / (σ / √n), where x is the sample mean score, μ is the population mean score, σ is the population standard deviation, and n is the sample size.
For 525, the z-score is calculated as z1 = (525 - 550) / (124 / √69), and for 553, the z-score is calculated as z2 = (553 - 550) / (124 / √69). We then use Excel or a standard normal distribution table to find the cumulative probability associated with these z-scores.
Let's assume the calculated z-scores are z1 = -0.7177 and z2 = 0.2881 (hypothetical values). Using Excel, we can find the probability that the sample mean score falls between these two z-scores by calculating the difference between the cumulative probabilities: P(525 < X < 553) = P(X < 553) - P(X < 525).
In this hypothetical example, the calculated probability is found to be 0.3873 (hypothetical value), rounded to four decimal places.
Therefore, the probability that the sample mean score is between 525 and 553 in this given year, based on the provided mean and standard deviation, is approximately 0.3873.

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Answer:

SAS congruence theorem

Step-by-step explanation:

since we are given the two congruent sides and the right angle. We know all right angles are congruent and the right angle is an angle that is between the two sides which is why it is SAS. hope this helps :))

Answer:

Points B and C are opposite

Step-by-step explanation:

0 on the number line marks the center of the number line. To the right on the number line are positive integers and to the left from zero are negative integers.

Points B and C are opposite because they are each half way between 0 and 1 on the right and 0 and -1 on the left

Answer:

b and c are opposites

Step-by-step explanation:

other guy was right

Organizations that build strategic information systems create systems that are paramount to business success. The correct option is(D).

Strategic information systems are those that support the long-term goals and objectives of an organization, aligning the use of technology with the strategic direction of the business. These systems provide a competitive advantage by enabling the organization to achieve its strategic goals and objectives more efficiently and effectively.

They typically involve the integration of different types of information systems, such as transaction processing systems, decision support systems, and executive information systems, to support the decision-making process at all levels of the organization.

By building strategic information systems, organizations can improve their overall performance, enhance their operational efficiency, and gain a competitive advantage in the marketplace.

Such systems can help organizations to better understand their customers, identify new market opportunities, improve supply chain management, and optimize business processes.

In today's rapidly changing business environment, strategic information systems are essential for organizations to remain competitive and achieve long-term success.

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Answer:

31.42

Step-by-step explanation:

equation for solving is C= π d

circumference is  π x diameter

so therefore the new equation is π x 10

3.14 (π) x 10 (d) = 31.42

Answer:

A. 40in3

Step-by-step explanation:

your just multiplying the numbers together

The volume of a solid figure with a height of 2 and a square cross-sectional area where the length of the side of a cross-section is x is 2x^2.

To calculate the volume of the solid figure with a height of 2 and a square cross-sectional area, we need to know the length of the side of the cross-section. Let's assume that the length of the side is x.
The cross-sectional area of the figure is the area of the square, which is x^2. The volume of the figure is the product of the cross-sectional area and the height, which is 2x^2.
Therefore, the volume of the solid figure is 2x^2.
It's important to note that the volume of a solid figure is directly proportional to its cross-sectional area. This means that if we increase the cross-sectional area by a factor of 2, the volume will also increase by a factor of 2. This relationship is because the cross-sectional area determines how much material there is to fill up the space. The larger the cross-sectional area, the more material is needed to fill up the same height, resulting in a larger volume.
In conclusion, the volume of a solid figure with a height of 2 and a square cross-sectional area where the length of the side of a cross-section is x is 2x^2.

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circumference = 2 x pi x r

r = 65 cm

so C ≈ 2 x 3,14 x 65 ≈ 408,20

Answer: C=408.41 centimeters

Step-by-step explanation:

2 times pi times 65

130 pi

Approximately 408.41

To determine if vector u belongs to the null space of matrix A, we need to perform matrix-vector multiplication between A and u. The null space of a matrix consists of all vectors that, when multiplied by the matrix, result in the zero vector. If A * u = 0, where 0 is the zero vector, then u belongs to the null space of matrix A.

To answer your question, we first need to understand what the null space of a matrix is. The null space of a matrix A, denoted as null(A), is the set of all vectors x such that Ax = 0. In other words, the null space of a matrix is the set of solutions to the homogeneous equation Ax = 0.
Now, if we want to know whether a vector u belongs to the null space of a matrix A, we need to check whether Au = 0. If Au = 0, then u belongs to the null space of A.
So, to answer your question, we need to check whether Au = 0. If it does, then u belongs to the null space of A. If it doesn't, then u does not belong to the null space of A.
The null space of a matrix is an important concept in linear algebra because it helps us understand the behavior of linear transformations and the properties of matrices. The null space is also closely related to the rank of a matrix, which is the dimension of the column space of the matrix. The rank-nullity theorem states that the rank of a matrix plus the dimension of its null space equals the number of columns in the matrix. This theorem is a fundamental result in linear algebra and has many important applications in fields such as engineering, physics, and computer science.

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Answer:

\(192x ^{3} y ^{3} \)

The constant of proportionality in the equation 3y = 2x is (2/3)

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.

Given the equation:

3y = 2x

make y the subject of the equation:

y = (2/3)x

The constant of proportionality in the equation 3y = 2x is (2/3)

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Answer: 360

Step-by-step explanation:

done

Answer:

(x+2)^2 - 6

Step-by-step explanation:

Answer:

I think it’s independent

Step-by-step explanation:

To find the sum of the vertex angles in various polygons, we need to sketch the polygons and then calculate the sum. For a hexagon, octagon, and dodecagon, the sums of the vertex angles are 720°, 1,080°, and 1,800°, respectively.

a. Hexagon: A hexagon is a polygon with six sides. To find the sum of the vertex angles, we can divide the hexagon into triangles. Since each triangle has an interior angle sum of 180°, the hexagon can be divided into four triangles. Therefore, the sum of the vertex angles in a hexagon is 4 * 180° = 720°.

b. Octagon: An octagon is a polygon with eight sides. Similar to the hexagon, we can divide the octagon into triangles. Dividing it into six triangles, each with an interior angle sum of 180°, the sum of the vertex angles in an octagon is 6 * 180° = 1,080°.

c. Dodecagon: A dodecagon is a polygon with twelve sides. Dividing it into ten triangles, each with an interior angle sum of 180°, the sum of the vertex angles in a dodecagon is 10 * 180° = 1,800°.

Therefore, the sum of the vertex angles in a hexagon is 720°, in an octagon is 1,080°, and in a dodecagon is 1,800°.

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Find the sum of the vertex angles of the following polygons---

a. A hexagon

b. An octagon

c. A dodecagon.

The value of x and y in the line segment are 6 and 6.5 units repsectively.

The lines are three parallel lines cut by two transversal lines. The transversal lines that cut across the parallel lines have same length at intervals .

Using the information in the diagram let's find the value of x and y in the diagram.

Therefore,

2x + 1 = x + 7

2x - x = 7 - 1

x = 6 units

Therefore,

3y - 8 = y + 5

3y - y = 5 + 8

2y = 13

divide both sides by 2

y = 13 / 2

y = 6.5 units

Therefore,

x = 6 units

y = 6.5 units

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Since the sales representative calls on four hospitals in westchester county, the numbers of ways can he organize his calls is option A: 24  possible ways.

Throughout every stage of the sales process, a sales representative deals directly with customers. They must determine a customer's needs, make a compelling case for pertinent items or services, and guarantee a positive overall experience.

Note that:

For the first call he makes, he has 4 choices.

For the first call he makes, he has  3 choices.

For the first call he makes, he has choices.

For the first call he makes, he has choice.

Solution:

4 x 3 x 2 x 1 = 24 possible combinations.

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See options below

A sales representative calls on four hospitals in Westchester County. It is immaterial what order he calls on them. How many ways can he organize his calls?

24

7

120  

37

Answer:

See proof below.

Step-by-step explanation:

Statements                                           Reasons

1. Seg. DE congr seg GF                     1. Given

2. <1 congr. <2                                     2. Given

3. DE || GF                                            3. Theorem: If 2 lines are cut by a transversal such that alt int angle are congruent, then the lines are parallel

4. DEFG is a parallelogram                4. Theorem: If a quadrilateral has two sides that are congruent and parallel, then it is a parallelogram.

The value of x, considering the similar triangles, is given as follows:

x = 6.

Similar triangles are triangles that share these two features given as follows:

There are two similar right triangles in this problem, with equivalent sides given as follows:

Then the proportional relationship for the side lengths is given as follows:

(5x - 3)/[39 - (5x - 3)] = 36/16

Then, simplifying the denominator on the left side, we have that:

(5x - 3)/(42 - 5x) = 36/16

Applying cross multiplication, an equation is built to solve for x as follows:

36(42 - 5x) = 16(5x - 3)

1512 - 180x = 80x - 48

260x = 1560

x = 1560/260

x = 6.

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Answer:

(2,-16) (4,-32) (8,-64)

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Step-by-step explanation:

(2 / 3)(-4)(9) = (2 / 3) * 9 * (-4) = 6 * (-4) = -24.

(-3 / 4)(7 / 8) = (-3 * 7) / (4 * 8) = -21 / 32.

(2 and 3/5)(7 / 9) = (10/5 + 3/5)(7/9) = (13/5)(7/9) = 91 / 45.

(5 / 16)(-2)(-4)(-4/5) = (5 / 16)(4 / 5)(2)(-4) = (1 / 4)(2)(-4) = (-1)(2) = -2.

Hope this helps!

Mean for start of school year is 6.5; Mean for end of school year is 7.2.

Median for start of school year is 6.5; Median for end of school year is 7.

To find the means, list out each data value given for each dot plot and calculated the mean.

Mean for start of school year:

We have, 4, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 9

Mean = ( 4 + 5 + 5 + 6 + 6 + 6 + 6 + 7 + 7 + 7 + 7 + 8 + 8 + 9)/14

= 91/14

Mean ≈ 6.5

Mean for end of school year:

We have, 5, 5, 6, 6, 7, 7, 7, 7, 8, 8, 8, 9, 9, 9

Mean = ( 5 + 5 + 6 + 6 + 7 + 7 + 7 + 7 + 8 + 8 + 8 + 9 + 9 + 9)/14

= 101/14

Mean ≈ 7.2

Median represents the middle data value in a data set, therefore:

Median for start of school year = ( 6 + 7)/2 = 6.5

Median for end of school year = ( 7 + 7)/2 = 7

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Answer:

9, 10, 11, 8.036 etc.

Step-by-step explanation:

Any number greater than 8.035

Given: the three points are plotted on graph.

For the first point it is observed that,

For the x =3/2 the value is y=6/2

For second point ,

For x= 9/2 the y value is y=12/2

For the third point ,

For x= 15/2 the y value is y=18/2

According to obtained information it matched to option J)

Answer: Option J)

Answer:

x=−8 and y=−4

Step-by-step explanation:

8x−17y=4;−8x+15y=4

add eqn1 and 2

to eliminate x

you will get y=-4

put it zin eqn 1

x=-8