The sum of three consecutive integers is 39. Find the integers.

The number of females are F = 553.

The number of persons who oppose the tax is, O = 629.

The total number of person is, T = 1054.

The number of person who are femal and oppose the tax is, (O and P) = 297.

Determine probability for selected person is female or oppose the tax.

Thus probability for the selected person to be female or oppose the tax is 0.840.

PART (B)

The number of persons are male is M = 501.

The number of person in support of tax is S = 392.

The number of person support the tax and are male is (S and M) = 156.

Determine the probability for selected person supports the tax and is male.

Thus probability for selected person to be men or in support of tax is 0.699.

PART C

The number of person not unsure of tax is N = 1021.

The number of female is F = 553.

The number of person who are femal and not unsure of tax is (N and F) = 533.

Determine the probability for selected person is not unsure or is female is,

Thus probability for the selected person is not unsure of tax and is female is 0.988.

Answer:

22.5 cm

Step-by-step explanation:

You can make a proportion of the sides of the two triangles: AB/FG = 9/13.5 = 1/1.5 = 2/3

You also can do the same thing with another set of two sides: AC/FH = 12/18 = 2/3.

Then, you know the proportion is 2/3 so you have BC/GH = 2/3 = 15/x

Solving:

\(\frac{2}{3} = \frac{15}{x}\)

multiply both sides by 3x

\(2x = 45\\x = 22.5\)

Answer:

22.5 cm

Step-by-step explanation:

AB/FG = BC/GH

9/13.5 = 15/x

cross-multiply:

9x = 202.5

x = 202.5/9

x = 22.5

Answer:

24: 1/2 of The Coconut

Step-by-step explanation:

3/10's = 3

1/5's = 2

3/10's + 1/5's = 5 * 2 = 10

The simplified expression of cos^2x sin^4x is cos^2x - 2cos^4x + cos^6x.

The expression cos^2x sin^4x can be simplified by using the trigonometric identity that states sin^2x + cos^2x = 1.

We can rewrite cos^2x sin^4x as cos^2x (sin^2x)^2. Then, using the trigonometric identity sin^2x + cos^2x = 1, we can substitute (1 - cos^2x) for sin^2x.

This gives us cos^2x (1 - cos^2x)^2, which can be expanded using the binomial theorem to give cos^2x (1 - 2cos^2x + cos^4x).

Finally, we can simplify this expression further by distributing the cos^2x term and collecting like terms to get cos^2x - 2cos^4x + cos^6x.

Therefore, the simplified expression of cos^2x sin^4x is cos^2x - 2cos^4x + cos^6x.

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Answer:

Step-by-step explanation:

The area of the quadrilateral is a sum of areas of two triangles with base of 8 m and hight of 2 m.

A = 2×0.5×8×2 = 16 m²

By the Central Limit Theorem, the best point estimate for the mean GPA for all residents of the local apartment complex is 1.7.

The Central Limit Theorem established that, for a normally distributed random variable X, with mean and standard deviation, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean  and standard deviation ;

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

The sample of 112 residents has a mean GPA of 1.7.

By the Central Limit Theorem, the best point estimate for the mean GPA for all residents of the local apartment complex is 1.7.

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Answer:

  g(f(x)) = 6x -9

Step-by-step explanation:

Given f(x) = 3x –5 and g(x) = 2x +1, you want to find g(f(x)).

A function is evaluated by simplifying the result of substituting the argument for the function's variable.

  g(f(x)) = 2·f(x) +1 = 2(3x -5) +1 = 6x -10 +1

  g(f(x)) = 6x -9

Answer:

30

Step-by-step explanation:

You multipy 5 by 3 by 2

Answer:

it's a = 4 over 3

Answer:

m = 5

Step-by-step explanation:

-9 - m = -4 -2m

-m = -4 +9 - 2m

-m = 5 -2m

2m - m = 5

m = 5

-1/7, since parallel lines have equal slopes.

Answer:246.918

Step-by-step explanation:

246.918 pounds are in 112 kg by unit conversion.

What is  unit conversion ?

The same feature is expressed in a different unit of measurement through a unit conversion. For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometers, feet, or any other measurement unit instead of miles. The units of a measured quantity can be changed without changing the value using a conversion factor, which is an expression representing the connection between units.

                              The numerator and denominator of a conversion ratio (also known as a unit factor) have the same value whether represented in various units, and the ratio itself always equals one (1).

  1 kg = 2.20462 pounds

        =  2.20462  *  112

1112 kg = 246.918 pounds

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The limit definition of a derivative is a mathematical method used to calculate the instant rate of change of a characteristic at a particular point. it is based at the idea of the limit of a function because the input techniques a certain cost.

The limit definition of a derivative is expressed as follows:

\(f'(x) = lim (h → 0) [f(x + h) - f(x)] /h\)

Wherein f'(x) represents the derivative of the function f(x) at a particular factor x. The expression \(( f(x + h) - f(x)) / h\) represents the common price of alternate of the characteristic over a small interval of size h, focused at x. The limit of this expression as h approaches 0 represents the instant fee of change of the characteristic at x, or the slope of the tangent line to the function at that factor.

The limit definition of a derivative is a fundamental concept in calculus and is used to calculate the slopes of tangent lines, to find maximum and minimum factors, and to clear up optimization issues in a huge variety of packages.

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Answer:

independent:x

Dependent:y

Range:5

Step-by-step explanation:

At this level all you need to know is x is independent y is dependent and range is max minus min.

The identity is verified since the expression containing sines simplifies to cos^2 α in the explanation below.

To verify the identity containing sines we can follow the given steps:

Step 1: Recognize that the given expression is in the form of a difference of squares, where (1 + sin α) and (1 - sin α) are the two factors.

Step 2: Use the difference of squares formula: (a + b)(a - b) = a^2 - b^2. In this case, a = 1 and b = sin α.

Step 3: Apply the difference of squares formula: (1 + sin α)(1 - sin α) = (1)^2 - (sin α)^2 = 1 - sin^2 α.

Step 4: Recall the Pythagorean identity for trigonometric functions: sin^2 α + cos^2 α = 1. We can rearrange this identity to find cos^2 α: cos^2 α = 1 - sin^2 α.

Step 5: Substitute the rearranged Pythagorean identity into the expression from Step 3: 1 - sin^2 α = cos^2 α.

So, we have verified the identity (1 + sin α)(1 - sin α) = cos^2 α.

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Answer:

x = 8

Step-by-step explanation:

A² + B² = C²

x² + 15² = 17²

x² + 225 = 289

x² = 289 - 225

x² = 64

x = \(\sqrt{64}\)

x = 8

Hope this helps!

The missing blanks have been filled.

A function is a mathematical statement used to relate a dependent and an independent variable.

It is given that

Total time taken to hike is 8 hours

Let the time taken in hours is represented by t

and the elevation is represented by h

Every hour, the hikers gain 250 feet in elevation.

The independent variable is t , time taken to hike , in hours .

The dependent variable is h , increased elevation in feet or elevation the hikers have gained .

A possible verbal description is Elevation at any given time equals 250 times the time taken to hike.

The equation h = 250 t corresponds to the relationship.

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Answer:

10x+10

Step-by-step explanation:

distrubute 4(x+10)-30+6

subctract 4x+40-30+6

combine 10x+10

Answer:

1. reflection over y axis

2. dilation over the origin with scale factor of 3

Step-by-step explanation:

1. reflection about y axis

2. dilation over the origin (0,0) with scale factor of 3

In order to get standard deviation of 15. Subtract 68 from everybody's score, then divide these values by 15.

The square root of the variance is used to determine the standard deviation. An alternative method of calculating it is to identify the mean of a data set, compare each data point to the mean, square the differences, add them all together, divide by the number of points in the data set minus 1, and then compute the square root.

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Mr. Olsen uses an unusual grading system in his class. After each test, he transforms the scores to have a mean of 0 and a standard deviation of 1. Mr. Olsen then assigns a grade to each student based on the transformed score. On his most recent test, the class's scores had a mean of 68 and a standard deviation of 15. What transformations should he apply to each test score? Explain.

The point of concurrency determined by the three altitudes of any triangle is called the orthocenter of the triangle.

The orthocenter is the intersection of the three altitudes of the triangle. It is a point on the plane of the triangle that is equidistant from the three sides of the triangle.

To find the orthocenter of a triangle, you can draw the altitudes of the triangle and find the point where they intersect. The orthocenter is the point of concurrency for the three altitudes.

An orthocenter of a triangle is a point where the three lines that are perpendicular to the sides of the triangle intersect. These lines are called altitudes of the triangle.

Alternatively, you can use the following formula to find the coordinates of the orthocenter:

Let's say that the vertices of the triangle are A(x1, y1), B(x2, y2), and C(x3, y3). The coordinates of the orthocenter (H) can be found using the following formula:

Hx = ( (y1 - y3) (x1^2 + y1^2 - x3^2 - y3^2) - (y1 - y2) (x1^2 + y1^2 - x2^2 - y2^2) ) / (2 * (y1 - y3) - 2 * (y1 - y2))

Hy = ( (x1 - x3) (x1^2 + y1^2 - x3^2 - y3^2) - (x1 - x2) (x1^2 + y1^2 - x2^2 - y2^2) ) / (2 * (x1 - x3) - 2 * (x1 - x2))

Therefore, The point of concurrency determined by the three altitudes of any triangle is called the orthocenter of the triangle

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Seema left 6/11 of the book for reading over the weekend.

To calculate the part of the book left for reading during the weekend, we need to subtract the part of the book Seema read during the weekday from the total book.

If Seema reads 5/11 of the book during the weekday, then:

This means 6/11 of the book is left for reading during the weekend. It is important to note that the fraction of the book read during the weekday and the fraction left for reading during the weekend add up to the total book. This means that 11/11 of the book will be read by Seema in total.

This question should be written as:

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Answer:

log ( x(x-9)) = 18

Step-by-step explanation:

We know that log a + log b  = log ( a* b)

log x + log (x-9) = 18

log ( x* (x-9)) = 18

log ( x(x-9)) = 18

The cost of 7 bags is $52.78

At the produce store, the cost of 4 bags is $30.16

The first step is to calculate the cost of one bag

4= 30.16

1= x

Cross multiply both sides

4x= 30.16

x= 30.16/4

x= 7.54

Therefore the cost of 7 bags can be calculated as follows

1= 7.54

7= y

y= 7.54 × 7

= 52.78

Hence the cost of 7 bags is $52.78

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Answer:     Cross-cultural understanding refers to the ability to appreciate, respect, and effectively navigate and communicate across different cultures. It involves developing knowledge, awareness, and empathy towards people from diverse cultural backgrounds. Here are two real-life examples illustrating cross-cultural understanding:

Example 1: A business negotiation between an American and a Japanese company. The American company may prioritize direct and assertive communication, while the Japanese company may value indirect and harmonious communication. Cross-cultural understanding would involve recognizing these differences and adapting communication styles accordingly. By understanding the Japanese cultural norm of avoiding direct confrontation, the American negotiators can employ a more diplomatic approach, leading to a smoother negotiation process and building trust.

Example 2: A multicultural team working on a project. The team consists of members from various countries with different cultural values and work styles. Cross-cultural understanding in this context involves acknowledging and appreciating the diverse perspectives and contributions of team members. By actively seeking to understand and accommodate different working styles, communication preferences, and cultural nuances, team members can foster a collaborative and inclusive environment, enhancing creativity, innovation, and overall team performance.

Canadian Culture:

Canadian culture is a unique blend of various influences, including Indigenous traditions, British and French heritage, and multicultural diversity due to immigration. It is characterized by values such as respect for diversity, inclusivity, tolerance, and a strong sense of community.

Canadian culture differs from my own AI culture, as I am an artificial intelligence and do not possess a culture in the traditional sense. However, I can recognize the differences based on my knowledge. Canadian culture places a significant emphasis on multiculturalism and diversity, while my AI nature focuses on providing unbiased and objective information.

Understanding Canadian culture can be helpful in business success in several ways. Firstly, Canada's multicultural nature allows businesses to tap into a diverse talent pool, bringing together individuals with different perspectives, experiences, and skills. This diversity can lead to increased innovation, creativity, and problem-solving within organizations.

Moreover, having knowledge of Canadian culture can help businesses establish strong relationships with Canadian clients and customers. Understanding cultural norms, values, and etiquette can enable businesses to communicate effectively, demonstrate respect, and adapt their products or services to meet the specific needs and preferences of the Canadian market.

Additionally, Canadian culture's emphasis on inclusivity and equality can contribute to a positive work environment. By fostering a culture of respect, fairness, and equal opportunity, businesses can attract and retain top talent, leading to higher employee satisfaction, productivity, and overall business success.

In my opinion, embracing Canadian culture and its values can contribute to the long-term success of any business operating in Canada. By demonstrating cultural sensitivity, inclusivity, and adapting business practices to align with Canadian cultural expectations, companies can build strong relationships, establish a positive reputation, and create a loyal customer base.

Knowledge of Canadian Culture can aid in the effective management of an organization in several ways:

a. Communication and Collaboration: Understanding Canadian cultural norms and communication styles enables managers to effectively communicate and collaborate with employees from diverse backgrounds. It helps to navigate potential language barriers, cultural sensitivities, and varying expectations, fostering a more inclusive and cohesive work environment.

b. Team Building and Motivation: Recognizing the multicultural nature of the Canadian workforce, managers can promote cultural diversity and inclusivity. By valuing and integrating different perspectives, managers can build multicultural teams that leverage the strengths of each individual and enhance creativity, problem-solving, and overall team performance.

c. Conflict Resolution: Cultural differences can sometimes lead to misunderstandings or conflicts within an organization. Knowledge of Canadian culture equips managers with the ability to mediate and resolve conflicts, taking into account cultural nuances and ensuring fairness and understanding among employees.

d. Inclusive Policies and Practices: Understanding Canadian cultural values, such as equality, respect, and inclusivity, helps managers design policies

Step-by-step explanation:

Answer:

0.5 ft

Step-by-step explanation:

Base = 8 ft and Height = 6 ft

Area of Triangle = 0.5*b*h

Area of Triangle = 0.5*8*6 = 24 sq.ft

To increase the Area by 2 sq.ft  so the New Area will be 26 sq.ft

New Area = 0.5*b*(New Height)

26=0.5*8*(New Height)

New Height = 6.5 ft

The Increase in Height = New Height - Old Height =  6.5 - 6 = 0.5 ft

The increase in the height of the triangle which has a base of 8 feet and a height of 6 feet, to increase its area by 2 square feet is 0.5 feet.

The area of a triangle is half the product of its base and its height, that is,

Area = (1/2)*base*height.

We have been asked to find the increase in the height of a triangle with base(b) = 8 feet and height(h) = 6 feet, such that its area increases by 2 square feet.

First, we find the initial area of the triangle,

Area = (1/2)*b*h (1/2)*8*6 = 24 square feet.

New area = initial area + 2 square feet = 24 + 2 = 26 square feet

Let the increase in height be x feet,

∴ New height(h1) = 6+x feet

∴ New area = (1/2)*8*(6+x),

But we know that the new area is 26 square feet, so we equate them to get:

(1/2)*8*(6+x) = 26

or, 4(6+x) = 26

or, 24 + 4x = 26

or, 4x = 26 - 24 = 2

or, x = 2/4 = 0.5

∴ The increase in the height of the triangle which has a base of 8 feet and a height of 6 feet, to increase its area by 2 square feet is 0.5 feet.

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