plain why the statistic is misleading.
Wilson was 42 inches tall on Jan 1, 2000, and 51 inches tall on Jan 1, 2002. William was 5 feet tall on Jan 1, 2000, and 6 feet tall on Jan 1, 2002.
Conclusion: The difference between 42 and 51 is greater than the difference between 5 and 6, so Wilson grew more during one year.

C. A chain-style franchise is a type of franchise where the franchisee produces and sells a franchisor's product using the franchisor's name.

The franchisee operates under the franchisor's established system and business model, including marketing strategies, training programs, and support services. This type of franchise is also known as a product distribution franchise because the franchisee distributes the franchisor's product to customers within a specified territory.

In a chain-style franchise, the franchisor maintains control over the quality and consistency of the product, while the franchisee is responsible for the day-to-day operations of the business. Examples of chain-style franchises include fast-food restaurants, gas stations, and retail stores.

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Answer:

y=4/3x+2

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Just took the Semester exam and had this question on it, I got it right

Answer:Person on top is wrong its

Step-by-step explanation:

D =0.30

The question is incomplete as options are not given, here are the options.

A. Y= 6.75x

B. Y=9x

C. Y=2x-20

D. Y=6x + 15

The equation best describes the relationship between the total cost, y, and the number of t- shirts, x is ' Y=6x+15.

A system of equations is a set of one or more equations involving a number of variables. The solutions to systems of equations are the variable mappings such that all component equations are satisfied—in other words, the locations at which all of these equations intersect.

Given,

A math club decided to buy t-shirts for its members. A clothing company quoted the following prices for the T-shirts. Number of Total Cost t-Shirts (dollars) 5 45 ,10 75, 15 105 ,20  135

Let the total cost be y, and the number of t- shirts be x.

We can use hit and trial method and then calculating which equation is filling the given values as per x and y variables.

using D option , Y=6x + 15

This equation fits all the values.

So,the equation best describes the relationship between the total cost and the number of t- shirts is Y=6x+15.

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Answer:

y=x/2-1/2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

The answer is B.  (4, 4) is the solution to both lines A and B. I took the test and got 100% your're welcome!

Step-by-step explanation:

Answer:

3.333333....

Step-by-step explanation:

The value of x must be between -18 and -6. The solution has been obtained using Triangle inequality theorem.

What is Triangle inequality theorem?

The triangle inequality theorem explains how a triangle's three sides interact with one another. This theorem states that the sum of the lengths of any triangle's two sides is always greater than the length of the triangle's third side. In other words, the shortest distance between any two different points is always a straight line, according to this theorem.

We are given three sides of a triangle as 8, 6 and x+20

Using Triangle inequality theorem,

⇒8+6 > x+20

⇒14 > x+20

⇒-6 > x

Also,

⇒x+20+6 > 8

⇒x+26 > 8

⇒x > -18

Also,

⇒x+20+8 > 6

⇒x+28 > 6

⇒x > -22

From the above explanation it can be concluded that x is less than -6 but greater than -22 and -18.

This means that x must lie between -18 and -6.

Hence, the value of x must be between -18 and -6.

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Based on the given function on the number of pears on the pear tree, the true statement is that The number of pears on the tree increases by 2 each week.

A linear regression line takes the form:

y = mx + b

y = number of pears

m = change in the number of pears per week

x = number of weeks

b = number of pears at first week

When the function is converted to a linear regression form, it takes the form:

P(x) = 2(2+x)

P(x) = 4 + 2x

This shows that the change in the number of pears per week is 2. This means that the number of pears on the tree increases by 2 each week

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The equation in the vertex form will be y = (x + b/2a)² - b²/4a² + c/a and the equation in the standard form will be ax² + bx + c = 0.

The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2.

Convert the standard equation into a vertex form, then we have

x² + (b/a)x + (c/a) = 0

x² + (b/a)x + b²/4a² - b²/4a² + c/a = 0

(x + b/2a)² - b²/4a² + c/a = 0

Put h = - b/2a and k = - b²/4a² + c/a, where (h, k) be the vertex of the parabola. Then the equation will be

(x - h)² + k = 0

The function written in vertex form will be y = (x - h)² + k and in the standard form will be ax² + bx + c = 0.

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The pollster should survey approximately 2,401 U.S. voters to estimate the true proportion of voters who oppose capital punishment with 95% confidence and a margin of error of 2%.

In order to estimate the true proportion of U.S. voters who oppose capital punishment with a 95% confidence level and a margin of error of 2%, the pollster should survey approximately 2,401 voters.



To calculate the sample size needed for this estimation, we can use the formula:

n = (Z² * p * q) / E²

where n is the sample size, Z is the z-score corresponding to the confidence level (in this case, 1.96 for 95% confidence), p is the estimated proportion of voters who oppose capital punishment, q is the estimated proportion of voters who support capital punishment (which is 1-p), and E is the desired margin of error (in this case, 0.02).

Assuming a conservative estimate of p = q = 0.5, we can plug in the values and solve for n:

n = (1.96² * 0.5 * 0.5) / 0.02² ≈ 2,401

Therefore, the pollster should survey approximately 2,401 U.S. voters to estimate the true proportion of voters who oppose capital punishment with 95% confidence and a margin of error of 2%.



In conclusion, to estimate the true proportion of U.S. voters who oppose capital punishment with a 95% confidence level and a margin of error of 2%, the pollster should survey approximately 2,401 voters. This sample size calculation is based on the formula for calculating sample size using the z-score, estimated proportions, and desired margin of error

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The perimeter of the shaded region is 22.58 units.

What is perimeter of rectangle?

Perimeter of a rectangle is 2×(Length+Breadth).

Here in this figure we have three part. They are a rectangle and two semicircles.

Length of the rectangle is 13 unit and breadth is 6 unit

So, perimeter of the rectangle part = 2×(length+breadth) = 2×(13+6) = 38 unit

Again, diameter of two semicircles is 6 unit

So, radius of two semicircles will be \( \frac{6}{2} = 3 \: unit\)

So, perimeter of one semicircle

\( = \pi \: r + 2r \\ = \pi \times 3 + 2 \times 3 \\ = 3\pi + 6\)

Now, perimeter of two semicircles will be

\(2 \times (3\pi + 6) = 3(\pi + 2) \: unit\)

If we subtract perimeter of two semicircles from the perimeter of rectangle then we will get perimeter of the shaded portion.

So, required perimeter of shaded region

\( = 38 - 3(\pi + 2) = (32 - 3\pi) = 22.58 \: unit\)

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The number of 29 year olds who are not expected to be alive in a year would be A. 422 people.

We see that in Apextown, the percentage of people who are expected to be alive in a year, based on their ages, is given.

For those who are 29 years of age, we see that the percentage of people who are expected to be alive in a year would be 99. 868 %. This means that the number of 29 year olds who would not be alive would be:

= Number of 29 years x ( 1 - percentage to be alive)

= 320, 000 x ( 1 - 99. 868 % )

= 320, 000 x 0. 00132

= 422. 4

= 422 people

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Triangle xyz was translated up 2 and right 3 units, creating triangle cab.

To find out the relationship between the parts of the two triangles must be true:

YZ ≅ AB

A translation is known as a rigid transformation.  This is because it preserves congruence.  Since CAB is created from XYZ, this tells us that:

X corresponds to C; Y corresponds to A; Z corresponds to B; XY corresponds to CA; YZ corresponds to AB; and XZ corresponds to CB.

Since the triangles are congruent, the corresponding pieces are congruent as well.

Out of these corresponding congruent pieces of triangles, the only one in our options is YZ ≅ AB.

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The dimension that is shared between the top view and the left side view is the depth. Both views show the object in two different perspectives, but the depth remains the same in both views.

Depth refers to the measurement of how far an object extends from front to back, and it is an important dimension that must be accurately represented in technical drawings and engineering designs. Without a consistent and accurate representation of depth, it can be difficult to create a functional and effective product. The other two terms, normal and inclined, refer to the angle or orientation of an object in relation to a reference plane, and are not necessarily related to the shared dimension between the top view and left side view.

The dimension shared between the top view and the left side view in a technical drawing or orthographic projection is the depth. In a three-view drawing, the top view shows the width and depth, while the left side view shows the height and depth. The depth, therefore, is the common dimension that helps to understand the object's 3D structure more effectively. The terms "normal" and "inclined" refer to different types of lines or surfaces but do not describe the shared dimension between these two views.

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Answer:

30° and 110°

55° and 85°

70°and 70°

Step-by-step explanation:

Given that :

Angle B = 40°

Sum of angles in a triangle :

Angle (A + B + C) = 180°

A + 40 + B = 180

A + C = 180 - 40

A + C = 140°

From the Given options ;

The sun of the Angles Given must add up to 140°

Hence,

30° and 110° = 140°

55° and 85° = 140°

70°and 70° = 140

The volume of the helium-filled balloon at 0.855 atm and 10.0 °C will be approximately 42.81 L, calculated using the ideal gas law equation.

To compute this problem, we can use the ideal gas law, which states that PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature in Kelvin.

First, we need to convert the initial temperature of 25 °C to Kelvin:

T1 = 25 + 273.15 = 298.15 K

Next, we can rearrange the ideal gas law equation to solve for V2:

V2 = (P1 * V1 * T2) / (P2 * T1)

We have:

P1 = 1.08 atm (initial pressure)

V1 = 50.0 L (initial volume)

P2 = 0.855 atm (final pressure)

T2 = 10.0 °C (final temperature)

Converting the final temperature to Kelvin:

T2 = 10 + 273.15 = 283.15 K

Substituting the values into the equation:

V2 = (1.08 * 50.0 * 283.15) / (0.855 * 298.15)

V2 ≈ 42.81 L

Therefore, the volume of the helium-filled balloon at 0.855 atm and 10.0 °C will be approximately 42.81 L.

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Answer:

46872

4687200

46872000

468720000

Step-by-step explanation:

say x is "?"

x ÷ 10000 = 4.6872

multiply 10000 into 4.6872 = 46872

x ÷ 10000 = 468.72

Multiply 10000 into 468.72 = 4687200

For each "0" you would move a decimal to your right when multiplying and move it to your left when dividing

Answer:

;)

Step-by-step explanation:

Q2) y=5x+7

Q3) option 4

Q4) y= -3

Q5) x= -2

Q6) y=1

Q7) y=2x-7

Q8) y=2x-3

Q9) x=1

Q10) false

To complete the following exercises using SQL, run the script file for the TAL Distributors database to create the five tables and add records to the tables.

Be sure to select the script file for the particular DBMS that you are using (Oracle, SQL Server, or Access).Here are the steps to use SQL and run the script file for the TAL Distributors database:

1. Open your database management tool such as SQL Server Management Studio.

2. Click on the “New Query” button, which should open a blank query window.

3. In the query window, copy and paste the contents of the script file that you have for the TAL Distributors database

.4. To run the script, click the “Execute” button or press F5 on your keyboard.

5. You should receive a message indicating that the script has been executed successfully.

6. The five tables should now be created in your database along with the records in the tables.

You can verify this by looking at the list of tables in your database and reviewing the data in the tables.You can now use SQL to query the data in the tables and complete the exercises for the TAL Distributors database.

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The series is ∑ \(\frac{1}{n^5}\) from n=1 to infinity which is convergent.

In mathematics, the integral test for convergence is a method used to test infinite series of monotonous terms for convergence.

The Integral Test says that if \(a_n > 0\) is a sequence and f(x) > 0 is monotonic decrescent and \(a_n=f(n)\) ∀ n

\(\int\limits^\infty_1 f{x} \, dx \\\\\) exists finite  ⇔ ∑(infinity to n = 1) \(a_n\) converges

We know:

\(\int\limits^\infty_1 {\frac{1}{x^5} } \, dx =(-\frac{1}{4x^4} )^\infty_1=\frac{1}{4}\)

which is finite, so the series converges.

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The given question is incorrect, correct question is:

Use the Integral Test to determine whether the series is convergent or divergent given ∑ \(\frac{1}{n^5}\) from n=1 to infinity?

Answer:

work is shown and pictured

Answer:  R = (16, 4)

Step-by-step explanation:

M = (12, 6,5)

R = ???

S = (8, 9)

\(M_x=\dfrac{R_x+S_x}{2}\qquad \qquad M_y=\dfrac{R_y+S_y}{2}\\\\12=\dfrac{R_x+8}{2}\qquad \qquad \quad 6.5=\dfrac{R_y+9}{2}\\\\24=R_x+8\qquad \qquad \quad 13=R_y+9\\\\16=R_x\qquad \qquad \qquad \quad 4=R_y\\\\.\qquad \qquad \large\boxed{R=(16,4)}\)

The recursive formula for Lindsey's scores is aₙ = aₙ₋₁ \(\times\) r, and the explicit formula is aₙ \(= 67 \times r^{(n-1).\)

To find the recursive and explicit formulas for the given geometric sequence, let's analyze the pattern of Lindsey's scores.

From the given information, we can observe that Lindsey's scores are increasing at the same rate.

This suggests that the scores form a geometric sequence, where each term is obtained by multiplying the previous term by a common ratio.

Let's denote the first term as a₁ = 67 and the common ratio as r.

Recursive Formula:

In a geometric sequence, the recursive formula is used to find each term based on the previous term. In this case, we can write the recursive formula as:

aₙ = aₙ₋₁ \(\times\) r

For Lindsey's scores, the recursive formula would be:

aₙ = aₙ₋₁ \(\times\) r

Explicit Formula:

The explicit formula is used to directly calculate any term of a geometric sequence without the need to calculate the previous terms.

The explicit formula for a geometric sequence is:

aₙ = a₁ \(\times r^{(n-1)\)

For Lindsey's scores, the explicit formula would be:

aₙ \(= 67 \times r^{(n-1)\)

In both formulas, 'aₙ' represents the nth term of the sequence, 'aₙ₋₁' represents the previous term, 'a₁' represents the first term, 'r' represents the common ratio, and 'n' represents the term number.

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Answer:

15 weeks.........

Step-by-step explanation:

3×15=45

Answer:

where m= slope m= -7/3

Step-by-step explanation:

The value of the probability P(A∪B) is 39/50

The given parameters are:

P(A)= 9/20

P(B) = 3/5

P(A∩B) = 27/100

To calculate the probability P(A∪B), we make use of the following equation

P(A∪B) = P(A) + P(B) - P(A∩B)

So, we have:

P(A∪B) = 9/20 + 3/5 - 27/100

Evaluate the expression

P(A∪B) = 78/100

Simplify

P(A∪B) = 39/50

Hence, the value of the probability P(A∪B) is 39/50

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If she follows the path shown by the dotted line in the graph, the distance from her house to the store would be = 128m. That is option B.

To calculate the distance between her house and the store the Pythagorean formula should be used which is given as follows;

C² = a² + b²

where;

a= 80

b= 100

c= ?

That is;

c²= 80²+100²

= 6400+10000

= 16,400

c = √16400

= 128.1m

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Step-by-step explanation:

x =7-y

subs x in eqn 2

3(7-y)+y=15

21-3y+y=15

21-2y=15

21-15=2y

6=2y

y=6/2

y=3

The correct answer is c) 03: 4.

Currently, the ratio of phone agents to chat agents is 5:2, which means for every 5 phone agents, there are 2 chat agents. If there are 250 phone agents, then there are (5/2)*250=625 chat agents.

If the company reduces the phone agents to 50, then the total number of agents will be 50 phone agents + 625 chat agents = 675 agents. The new ratio will be 50:625, which simplifies to 1:12.5.

To invert the ratio, we need to flip it and simplify it. The inverted ratio will be 12.5:1, which simplifies to 25:2.

Therefore, the new ratio after reducing the phone agents to 50 will be 03:04.

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