To determine the temperature in Fahrenheit, multiply the Celsius temperature by 1.8 then add 32. Determine the Celsius temperature if it is 89°F outside. Round your answer to the nearest hundredth.

He will pick a sample of seniors in this instance.

Given statement,

Dr. Stuart wants to study whether there is a relationship between the number of hours a high school senior spends on social networking sites and their grade point average. he obviously cannot study every 12th grader, so instead, he will select a smaller of seniors to study.

→ In this case he will select a sample of seniors.

→ Dr. Stuart is interested in determining whether there is a correlation between a high school senior's grade point average and the number of hours spent on social networking sites. He will instead choose a smaller sample of seniors to study because he certainly cannot study every student in the 12th grade.

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Usual selling price of a pair of shoes is $68 with discount 40% and sales tax 6% then total price of shoes including tax is equal to $43.248.

As given in the question,

Given that:

Usual selling price of shoes = $68

Discount on shoes =40%

Discounts an amount or percentage from something that they are selling, they take the amount or percentage off the usual price.

so, remove 40% from the price and you have left 60%

reduced price = 60% of $68

                         =60/100 * 68 = $40.8

Sales tax is 6% of reduced price= 6% of $40.8

                                           =$2.448 upto 3 decimal digits

Now , price including tax =$40.8+$2.448 =$43.248

Hence, total price including tax= $43.248

Therefore, usual selling price of a pair of shoes is $68 with discount 40% and sales tax 6% then total price of shoes including tax is equal to $43.248.

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Yes, The triangles are congruent by SSS i,e option(D)

When two corresponding sides and the angle included between them of one triangle match those of two corresponding sides and the angle included between them of another triangle, the two triangles are said to be congruent. Two triangles are said to be congruent if their three sides and three angles, in any orientation, are equal.

By applying the CPCTC (Corresponding Parts of Congruent Triangles are Congruent) theorem, the two sides of the triangle in issue are made equal, hence making the third sides equal.

Therefore, we can say the triangles are congruent by SSS i,e option(D)

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In the given angles, the values of R=31⁰, x=34⁰, m<S= 38⁰, m<Y = 111⁰

We know that a triangle is a polygon whose sum of angles is equal to 180 degress , with three sides and three vertices.

The given angles are

31⁰,  (x+4)⁰,  (3x+9)⁰

The sum of angles of the triangle

31+x+4+3x+9=180⁰

44+4x=180⁰

Collecting like terms

4x=136

Dividing by 4

x=34⁰

Substituting the value of x=34 in the given angles we have

R= 31⁰,             given

 (x+4)⁰   = 34+4=38⁰,  (3*34+9)⁰=111⁰

In conclusion the values of R= 31⁰, x=34⁰ , m<S=38⁰, m<T=111⁰

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Answer:

Solution given:

y=6/7x+7

Comparing above equation with y=mx+c

we get

m=6/7

a What is the slope of a line parallel to it?

Since for parallel slope are equal ,

slope will be 6/7.

b What is the slope of a line perpendicular to it?

Since for perpendicular line slope is reciprocal to another line but negative so

slope of line is-7/6.

The target population is the population of interest that researchers aim to generalize their findings to.

The correct answer is c. sample.

In a research study, the population of interest is often too large or too difficult to access entirely. Therefore, researchers select a representative subset of the population to study, which is called a sample. In this case, patients with inflammatory bowel disease are the population of interest, and those who participate in the study are the sample.

The accessible population refers to the portion of the population that is accessible to the researcher. For example, if a researcher is studying the prevalence of a disease in a certain region, the accessible population would be the individuals living in that region.

An element refers to a single member of the population or sample.

The target population is the population of interest that researchers aim to generalize their findings to.

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The simplified expression is (-187.584x + 287.6672) / 6.8, which is equivalent to option A: -2.84x - 1.66.

To simplify the expression 5.3x - 8.14 / 3.6x - 9.8, we can first simplify the division by finding a common denominator for the fractions.

The common denominator for 3.6x and 9.8 is 3.6x * 9.8 = 35.28x.

Next, we can rewrite the expression using the common denominator:
5.3x * (35.28x/35.28x) - 8.14 * (35.28x/35.28x) / 3.6x * (35.28x/35.28x) - 9.8 * (35.28x/35.28x)

Simplifying further, we get:
(5.3 * 35.28x^2 - 8.14 * 35.28x) / (3.6 * 35.28x - 9.8 * 35.28x)

Now, we can simplify the numerator:
(187.584x^2 - 287.6672x) / (-6.8x)

Factoring out an x from the numerator, we have:
x(187.584x - 287.6672) / (-6.8x)

Finally, we can cancel out the x terms:
(187.584x - 287.6672) / -6.8

Therefore, the simplified expression is (-187.584x + 287.6672) / 6.8, which is equivalent to option A: -2.84x - 1.66.

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The points that lie on the graph of the linear equation 4x + 5y = 20 are (-5,8) and (0,0).

To determine which of the given points lie on the graph of the linear equation 4x + 5y = 20, we substitute the given values of x and y into the equation and check if it holds true. If the equation holds true, then the point lies on the graph of the equation. The equation is given by;4x + 5y = 20Substituting the first point (5,4);4x + 5y = 204(5) + 5(4) = 20, i.e 20 + 20 = 40. This point does not lie on the graph of the equation.Substituting the second point (-4,20);4x + 5y = 204(-4) + 5(20) = 20, i.e -16 + 100 = 84. This point does not lie on the graph of the equation.Substituting the third point (-5,8);4x + 5y = 204(-5) + 5(8) = 20, i.e -20 + 40 = 20. This point lies on the graph of the equation.Substituting the fourth point (0,-4);4x + 5y = 204(0) + 5(-4) = -20. This point does not lie on the graph of the equation.Substituting the fifth point (0,0);4x + 5y = 204(0) + 5(0) = 0. This point lies on the graph of the equation.Therefore, the points that lie on the graph of the linear equation 4x + 5y = 20 are (-5,8) and (0,0).

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Answer:

∠ ABC = 48°

Step-by-step explanation:

∠ ABC + ∠ DBC = ∠ ABD , that is

6x - 6 + 3x + 8 =  83

9x + 2 = 83 ( subtract 2 from both sides )

9x = 81 ( divide both sides by 9 )

x = 9

Then

∠ ABC = 6x - 6 = 6(9) - 6 = 54 - 6 = 48°

Yes, $9 for 4 visitors and $18 for 8 site visitors are proportional.

To determine whether or not $9 for 4 visitors and $18 for 8 visitors are proportional, we need to test if the ratio of the value to the number of visitors is the equal for both cases.

The ratio of cost to the quantity of visitors for $9 and four visitors is:

$9/4 visitors = $2.25/ visitors

The ratio of value to the quantity of visitors for $18 and eight visitors is:

$18/8 visitors = $2.25/ visitors

We are able to see that both ratios are equal to $2.25 per visitor.

Therefore, $9 for 4 visitors and $18 for 8 site visitors are proportional.

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Answer:

\(y>\frac{19}{3}\)

Step-by-step explanation:

\(3y-28>-9\\\\3y-28+28>-9+28\\\\3y>19\\\\\frac{3y>19}{3}\\\\ \boxed{y>\frac{19}{3}}\)

Hope this helps.

Establishing a Project Management Office (PMO) in an organization can bring several benefits, including improved project governance, enhanced communication and collaboration, standardized processes, better resource allocation, and increased project success rates.

A PMO serves as a central hub for project management activities within an organization, providing oversight, guidance, and support to project teams. By establishing a PMO, organizations can achieve improved project governance. The PMO helps define and enforce project management standards, methodologies, and best practices, ensuring consistency and alignment across projects. This leads to better project planning, monitoring, and control, resulting in increased project success rates.

Furthermore, a PMO facilitates enhanced communication and collaboration among project stakeholders. It serves as a focal point for project-related information, fostering transparent communication, and promoting collaboration between project teams, sponsors, and executives. This improves decision-making, reduces conflicts, and increases overall project visibility.

Standardization of processes is another significant benefit of establishing a PMO. The PMO develops and implements standardized project management templates, tools, and techniques. This promotes efficiency, reduces duplication of efforts, and streamlines project execution. Standardized processes enable better resource allocation and optimization, ensuring that resources are allocated effectively based on project priorities and organizational goals.

In summary, the main benefits of establishing a PMO include improved project governance, enhanced communication and collaboration, standardized processes, better resource allocation, and increased project success rates. These benefits contribute to higher project efficiency, better decision-making, and overall organizational success.

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Step-by-step explanation:

Total money spent is Airline ticket + the sales tax

Airline ticket = 250

The sales tax = 250 * 7.5 / 100

=> 5 * 7.5 / 2

=> 37.5 / 2

=> 18.75

So, total = 250 + 18.75

=> 268.75

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Thank You !

The percentile rank / score in the setting of statistics denotes the percentage of the population that falls below it when the data is organized in ascending order.

For the given question.

The difference in the percentiles and raw scores is-

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Answer:

B. a warm coat, because the winters will be cold

Step-by-step explanation:

Continental climates are notable for extreme weather conditions. When it is hot, it is extremely hot and when it is cold, it is extremely cold. Tropical climates on the other hand are known to always have hot weather conditions.

Since Harry is already used to the tropical climate which largely features hot temperatures, we assume that he already has suitable clothing for such weather conditions. So, in addition to that, Harry would need warm clothing for the cold winters which he would experience in the continental climate. So, Harry would need a warm coat because the winter will be cold.

The value of the given expression [\(87^3+ 13^3/87^2 -87 * 13 + 13^2\)] by simplifying the numerator and denominator using suitable identities is 100.

We will first calculate the numerator:

As  (\(a^3\) + \(b^3\)) = (a + b)(\(a^2\) - ab + \(b^2\)) :

\(87^3\) + \(13^3\) = (87 + 13)(\(87^2\) - \(87 * 13\) + \(13^2\))

= 100(\(87^2\) - 87 * 13 + \(13^2\))

Now, calculate the denominator:

\(87^2 - 87 * 13 + 13^2\)

As,(\(a^2 -2ab +b^2\)) =\((a - b)^2\):

\(87^2 - 87 * 13 + 13^2 = (87 - 13)^2\)

\(= 74^2\)

So by solving the equation further:

\((87^3+13^3) / (87^2- 87 * 13+13^2) = 100*(87^2- 87 *13 + 13^2)/(87^2 - 87 * 13 + 13^2)\)

As we can see the numerator and denominator are the same expressions (\(87^2 - 87 * 13 + 13^2\)). so, they cancel each other:

\((87^3 + 13^3) / (87^2 - 87 * 13 + 13^2) = 100\)

So, the value of the given expression is 100.

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Answer:

\(2\frac{1}{5}\)

Step-by-step explanation:

11 goes into 5 two times, but we are left with a remainder of 1.

So, we can say that the mixed number would be \(2\frac{1}{5}\).

Answer: off 21

Step-by-step explanation:

The correct answers are: 1. Z-scores are useful because they provide a standardized way of indicating how unusual an observation is. 2. The standard deviation is a natural ruler for comparing values to the mean. 3. Z-scores and the standard deviation are applicable to both symmetric and skewed distributions.

These answers accurately describe the benefits of using Z-scores and the standard deviation in statistical analysis. Z-scores allow us to determine how many standard deviations away from the mean a particular observation is, providing a measure of how unusual or extreme that observation is compared to the rest of the data set.

The standard deviation serves as a measure of dispersion, representing the average amount by which data points vary from the mean. It provides a useful reference point for comparing individual values to the mean. Additionally, both Z-scores and the standard deviation can be applied to distributions with varying shapes, including both symmetric and skewed distributions.

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Select all of the answers that apply. Z-scores are useful because it is a standardized way of saying how unusual an observation is ZZZZZzzzzzzzzzzz <snore snore> WAKE UP you're almost done. the standard deviation is a natural ruler for comparing values to the mean they are applicable to both symmetric and skewed distributions.

\( \sf \: y = - \frac{1}{3} x + \frac{7}{3} \)

hope it helps

The operationalization of the used constructs of the model is not typically considered a part of the theoretical aspects of a model. The correct option is (B).

Operationalization refers to the process of defining and measuring the variables or constructs in a study. It involves turning abstract concepts into observable and measurable variables.

On the other hand, the theoretical parts of a model typically include:

A. The hypotheses corresponding to the model: This refers to the specific statements or predictions derived from the theoretical framework of the model.

Hypotheses provide testable expectations about the relationships between variables in the model.

C. A logical explanation of the relationship within a model: This involves providing a theoretical rationale or logical explanation for the expected relationships between variables in the model.

It is the theoretical framework that underlies the model and helps in understanding the underlying mechanisms or processes.

D. A graphical representation of the model: Graphical representation, such as diagrams or visual models, can be used to depict the structure or relationships within a model. It helps in visualizing the connections between variables and understanding the overall framework.

Therefore, B. The operationalization of the used constructs of the model does not belong to the theoretical parts of a model.

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The number of solution for the equation  x₁ + x₂ + x₃ = 14 where x₁ , x₂ , x₃  are integers for different condition are

a. 91 solution for each variable greater than or equal to zero

b. 66 solution when each variable greater than or equal to one.

Total number of solution for the equation x₁ + x₂ + x₃ = 14.

a. Each variable x₁ , x₂, x₃ is an integer greater than or equal to zero.

When x₁ = 0 and x₂ , x₃ have different values

0 + 0 + 14 = 14

0 + 1 + 13 = 14

0 + 2 + 12 = 14

0 + 3 + 11 =14

0 + 4 + 10 =14 .......so on

0 + 13 + 1 = 14

Total outcome = 14

Two place needs to be fill one place is fixed by certain number.

Total number of possible solution is equal to

= ¹⁴C₂

= ( 14! ) / ( 14 - 2 )! 2!

= ( 14 × 13 ) / ( 2 × 1 )

= 7 × 13

= 91

b. Each integer is an integer greater than or equal to one

When x₁ = 1 and x₂ , x₃ have different values

1 + 1+ 12 = 14

1 + 2 + 11 = 14

1+ 3 + 10 =14

1 +4 + 9 =14 .......so on

1+ 12 + 1 = 14

Total outcome = 12

Total number of possible solution when each variable is greater than or equal to 1

= ¹²C₂

= ( 12! ) / (12 - 2)! 2!

= ( 12 × 11 ) / 2

= 66

Therefore , total number of solution for the equation having integer variable x₁ + x₂ + x₃ = 14 is

a. Each variable greater than or equal to zero has 91 solution.

b. Each  variable greater than or equal to one has 66 solution.

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Answer:

CE = 20

Step-by-step explanation:

Given a line parallel to a side of a triangle and intersecting the other 2 sides then it divides those sides proportionally, that is

\(\frac{6}{8}\) = \(\frac{15}{CE}\) ( cross- multiply )

6 CE = 120 ( divide both sides by 6 )

CE = 20

To determine if a function has a vertical asymptote, you need to consider its behavior as the input approaches certain values.

A vertical asymptote occurs when the function approaches positive or negative infinity as the input approaches a specific value. Here's how you can determine if a function has a vertical asymptote:

Check for restrictions in the domain: Look for values of the input variable where the function is undefined or has a division by zero. These can indicate potential vertical asymptotes.

Evaluate the limit as the input approaches the suspected values: Calculate the limit of the function as the input approaches the suspected values from both sides (approaching from the left and right). If the limit approaches positive or negative infinity, a vertical asymptote exists at that value.

For example, if a rational function has a denominator that becomes zero at a certain value, such as x = 2, evaluate the limits of the function as x approaches 2 from the left and right. If the limits are positive or negative infinity, then there is a vertical asymptote at x = 2.

In summary, to determine if a function has a vertical asymptote, check for restrictions in the domain and evaluate the limits as the input approaches suspected values. If the limits approach positive or negative infinity, there is a vertical asymptote at that value.

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Answer:

Step-by-step explanation:

Find the perimeter and area of the polygon with the given vertices P(-3,4), Q(1,4), R(-3,-2), S(3,-2)

We find the length of the sides of this polygon using the formula:

√(x2 - x1)² + (y2 - y1)2

Where (x1, y1) and (x2, y2)

P(-3,4), Q(1,4)

= √(1 -(-3))² + (4 - 4)²

= √4²

= √16

= 4 units

Q(1,4), R(-3,-2)

= √(-3 - 1)² + (-2 - 4)²

= √-4² + -6²

= √16 + 36

= √52

R(-3,-2), S(3,-2)

= √(3 - (-3))² + (-2 - (-2))²

= √6²+ 0

= √36

= 6 units

P(-3,4), S(3,-2)

= √(3 - (-3))²+ ( -2 - 4)²

= √6² + -6²

= √36 + 36

= √72 units

1. 12a²b² + -7a²b² + 9a²b²

= 14a²b² (the terms a²b² are like terms so don't look at them, just add 12 + (-7) + 9.

= 14 (ab)² (you can write like this too because both a & b are squared).

2. y² - (-5y²)

= 6y² (subtract -5 from 1, y² is the like term).

Answer:

4

Step-by-step explanation:

the second column and the second row so, the answer is 4

If the point (x, y) is on the x–axis then y= 0.

Coordinates are a pair of integers (Cartesian coordinates), or sporadically a letter and a number, that identify a certain place on a grid, also referred to as a coordinate plane. The x axis (horizontal) and y axis are the two axes that make up a coordinate plane (vertical).

Given:

If the point (x, y) is on the x–axis.

Now, we know that the point is on x- axis.

So, the y axis do not have the value.

That means If the point (x, y) is on the x–axis then y=0.

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