Consider the car mileage example that I used (ad nauseum) to demonstrate various regression concepts and methods in the lecture videos. Suppose that we wanted to add another qualitative factor, namely the style of car with the following categories: sedan, sportscar, station wagon, van and other. (So there are a total of 5 categories.) Suppose further that we define sportscar to be the base case. If we name the variables after the style of car, which of the following would be the appropriate set of dummy variables to model the style factor?
Group of answer choices
a. 1 Dummy Variable: Style
b. 4 Dummy Variables: Sedan, Station Wagon, Van and Other
c. 2 Dummy Variables: Sportscar and Not Sportscar
d. 5 Dummy Variables: Sedan, Sportscar, Station Wagon, Van and Other
e. 4 Dummy Variables: Sportscar, Station Wagon, Van and Sedan

Answer:

-18

Step-by-step explanation:

We are given the expression:

4h+j

We are also given h= -4 and j= -2. Therefore, we can substitute -4 in for h and -2 in for j.

4(-4)+-2

4(-4)-2

Solve according to PEMDAS

Multiply 4 and -4

-16-2

Subtract 2 from -16

-18

Answer: 4(-4)+(-2)=-18

Step-by-step explanation:

The area of the region under the curve y = 1/(x - 1)^2, where x is greater than or equal to 4, is 1/3 square units.

The area under the curve y = 1/(x - 1)^2 represents the region between the curve and the x-axis. To calculate this area, we integrate the function over the given interval. In this case, the interval is x ≥ 4.

The indefinite integral of f(x) = 1/(x - 1)^2 is given by:

∫(1/(x - 1)^2) dx = -(1/(x - 1))

To find the definite integral over the interval x ≥ 4, we evaluate the antiderivative at the upper and lower bounds:

∫[4, ∞] (1/(x - 1)) dx = \(\lim_{a \to \infty}\)⁡(-1/(x - 1)) - (-1/(4 - 1)) = 0 - (-1/3) = 1/3.

Learn more about definite integral here:

https://brainly.com/question/32465992

#SPJ11

The complete question is:

Find the area of the region under the curve y=f(x) over the indicated interval. f(x) = 1 /(x-1)²  where x is greater than equal to 4?

Answer:

if you are looking for the area, it would be 22ft

Step-by-step explanation:

Answer:

About 11.7

Step-by-step explanation:

In order to find the hypotenuse (if this is what you are looking for), you would use pythagorean theorem. This states : A squared + B squared = C squared. Our legs that you have given us (A and B) are 11 and 4. When we square these values, we get 121+16=137. Now we square the value of 137. To square the value, multiply numbers until you reach this number. Because the value 137 is odd, it will end up being a decimal when squared which is about 11.7

I also want to point out that all hypotenuse will be longer than the legs.

Answer:

Translation: Shift the trapezoid 5 units to the right.

Dilation: Enlarge the trapezoid vertically by a factor of approximately 3.365.

Reflection: Reflect the trapezoid across the y-axis.

Note: The order of transformations may vary depending on the convention used.

Step-by-step explanation:

To determine the series of transformations that result in the unshaded trapezoid being the image of the shaded trapezoid, we can analyze the changes in the coordinates.

Translation:

The shaded trapezoid is shifted horizontally by 5 units to the right to become the unshaded trapezoid. Therefore, the first transformation is a translation.

Translation vector = (5, 0)

Dilation:

The shaded trapezoid is enlarged in the vertical direction. To determine the dilation factor, we compare the corresponding side lengths.

The length of side AB in the shaded trapezoid is given by the distance formula:

AB = sqrt((-4 - (-5))^2 + (5 - 1)^2) = sqrt(1^2 + 4^2) = sqrt(17)

The length of side A'B' in the unshaded trapezoid is given by the distance formula as well:

A'B' = sqrt((1.5 - 0)^2 + (9 - 1)^2) = sqrt(1.5^2 + 8^2) = sqrt(66.25) = 2.5sqrt(26)

The dilation factor is the ratio of the corresponding side lengths:

Dilation factor = A'B' / AB = (2.5sqrt(26)) / sqrt(17) = 2.5sqrt(26/17) ≈ 3.365

Reflection:

The unshaded trapezoid is a reflection of the shaded trapezoid across the y-axis. This transformation reverses the sign of the x-coordinates.

Trina can make 720 sliders with 180 pounds of meat.

When we calculate the number of sliders that can be made from 180 pounds of meat, we need to know how much meat is used in one regular hamburger. The weight of a regular hamburger patty can vary depending on the recipe, but a common size is 1/4 pound (4 ounces).

However, assuming that a regular hamburger patty weighs 1/4 pound (4 ounces), then 180 pounds of meat would yield:

\(180 / (1/4) = 720\)

hamburger patties. Since each slider has as much meat as a regular hamburger, Trina can make 720 sliders with 180 pounds of meat.

Learn more about pounds here https://brainly.com/question/29173298

#SPJ4

Answer:

The area of the cone is "1,695.6 cm³".

Step-by-step explanation:

The given values are:

Diameter of cone,

d = 18 cm

then,

Radius,

r = \(\frac{d}{2}\)

 = \(\frac{18}{2}\)

 = \(9 \ cm\)

Height,

h = 20 cm

As we know,

⇒  Area of a cone = \(\frac{1}{3} \pi r^2 h\)

On substituting the given values in the above formula, we get

⇒                            = \(\frac{1}{3}\times 3.14\times (9)^2\times 20\)

⇒                            = \(\frac{1}{3}\times 3.14\times 81\times 20\)

⇒                            = \(3.14\times 27\times 20\)

⇒                            = \(1,695.6 \ cm^3\)

The original cost of the tablet is $70.89 in the given algebraic equation.

A mathematical claim containing two equated algebraic expressions is known as an algebraic equation. When P and Q are polynomials, an algebraic equation has the general form P = 0 or P = Q. The term "multivariate equation" refers to an algebraic equation that has more than one variable.

Univariate equations are algebraic equations that only have one variable. Equations in algebra are balanced by definition. Due to this, the right and left sides of the equation will be equal.

Let the original cost be  x

then

15/100 = 24.99.x

x =  166.6

237.49 - 166.6

= $70.89

Thus, the original cost of the tablet is $70.89 in the given algebraic equations.

Learn more about algebraic equations

https://brainly.com/question/953809

#SPJ1

Full question?

Lucas bought a tablet that was on sale at a 15% discount on your supra case for $24.99 which is been a total of $237.49. Write an equation to find the original cost of the tablet?

Answer:

Problem formulation is improper.

Step-by-step explanation:

A linear programming model is a mathematical method used for solving linear problems through the use of decision variables and objective functions.

In linear programming models of real problems, the occurrence of an unbounded solution means that the problem formulation is improper.

Hence, if the formulation of a linear real problem is not correct or improper, it would result in an unbounded solution.

This simply means that, the objective function which primarily defines the quantity to be maximized or minimized in a linear programming model was formulated improperly.

Hence, for a bounded solution in a linear programming model, the objective function and the decision variable should be proportional.

In a broader view, the conditions necessary for a linear programming model with bounded solutions are;

1. It should be a single objective either to minimize or maximize.

2. It should have continuous variables.

3. Both objective and constraints must be linear.

4. The value of the decision variable must be positive.

Answer:

57 + 3x

Step-by-step explanation:

“More than” is called “+”.

“Times” is called “×”.

Greg's score will be represented as “x”.

Note: “3x” also means “3 × x”.

The solution to the equation -16 * 10^6x = -80 is x = 0.000005.

To solve the equation -16 * 10^6x = -80, we can start by simplifying the equation and isolating the variable x.

First, let's simplify the equation:

-16 * 10^6x = -80

To simplify, we can divide both sides of the equation by -16:

(10^6x) = (-80) / (-16)

Dividing -80 by -16 gives us a positive value:

(10^6x) = 5

To solve for x, we need to get rid of the exponent 10^6. We can rewrite 10^6 as 1,000,000:

1,000,000x = 5

Now, divide both sides of the equation by 1,000,000 to isolate x:

x = 5 / 1,000,000

Simplifying the right side gives us:

x = 0.000005

In scientific notation, the solution can be expressed as x = 5 * 10^(-6), where the exponent -6 indicates the number of decimal places to move the decimal point to the left. So, x = 0.000005 and x = 5 * 10^(-6) represent the same value.

It's important to note that the solution provided assumes a standard interpretation of the equation and the order of operations. If there are any additional constraints or context not mentioned in the question, they should be considered in the solution process.

For more such questions on solution

https://brainly.com/question/17145398

#SPJ8

Answer:

16.8 inches

Step-by-step explanation:

Perimeter =2(length+width) so 2·(5.6+2.8)≈16.8

Answer and Step-by-step explanation:

First, write down what we know.

Length of Rectangle = \(5\frac{3}{5}\)

Width = \(\frac{Length}{2}\)

2 ways to solve this:

1st way:

If we convert the fraction into a decimal, then we can easily find the width.

\(5\frac{3}{5}\) can be solved by making the mixed number into a improper fraction.

Multiply the denominator (5) by the whole number (5), then add the numerator (3). This number is 28. Replace the 3 with the 28, and now we have \(\frac{28}{5}\). This number is equal to 5.6.

Now, we have to divide this number.

5.6 divided by 2 is equal to 2.8.

So, the width is equal to 2.8.

Now, we add the width and length together twice to get the perimeter of the rectangle.

2.8 + 2.8 + 5.6 + 5.6 = 16.8

So, the answer is A. 16.8 inches.

2nd way:

Since we know that the width is half of the length, we can just add the length by itself 3 times, since two of the widths combined will equal the length.

5.6 + 5.6 + 5.6 = 16.8

So, the answer is A. 16.8 inches.

#TeamTrees #PAW (Plant And Water)

Given:

A regular pentagon with side 14 units and apothem 9.6 units.

To find:

The area round to the nearest tenth.

Solution:

Area of a regular polygon is:

\(A=\dfrac{1}{2}Pa\)           ...(i)

Where, P is the perimeter and a is the apothem.

The given figure is a regular pentagon with five sides. So, the perimeter of the given figure is the product of number of sides and the side length.

\(P=5\times 14\)

\(P=70\)

Putting \(P=70,a=9.6\), we get

\(A=\dfrac{1}{2}(70)(9.6)\)

\(A=(35)(9.6)\)

\(A=336\)

Therefore, the area of the regular polygon is 336.0 square units.

Answer:

88 total questions

Step-by-step explanation:

Answer:

88 problems

Step-by-step explanation:

86/0.98 = 87.76 ≈ 88

Answer:

x= 24

Step-by-step explanation:

Supplementary angles measure 180 degrees

180-156=24

Answer: X measures 24

Step-by-step explanation: 180-156= 24

Answer:

\(\huge\purple{\overline{\quad\quad\quad\quad\quad\quad\quad\quad\quad \ \ \ }}\)

»ANSWER«

(1) Write properties of function:

x intercept/zero:

\( x_{1} = \frac{3}{4} \)

y intercept:

\(y = - 12\)

domain:

\(( - \infty \: \infty )\)

type of function: cubic fraction

standard form:

\(f(x) = 4 {x}^{3} - 3 {x}^{2} + 16x - 12\)

factorize form:

\(f(x) = (4x - 3)( {x}^{2} + 4)\)

even/odd/neither: neither

bounce/cross x axis:

\(x = \frac{3}{4} \: across\)

increasing interval:

\(( - \infty \: \infty )\)

decreasing interval: no

number of positive real zeros: 1

number of possible turning point: 2

order/degree: 3

leading term:

\(4x ^{3} \)

leading coefficent: 4

constant term: -12

end behavior:

\(as \: x \: → \infty f(x) → \infty \: as \: x → - \infty f(x) → - \infty \)

#CarryOnLearning

Answer:i dunno

Step-by-step explanation:e

The next letter in the sequence is W.

The given sequence is B, C, E, G, K, M, Q, S, _____________.

Here, B, C, E, G, K, M, Q, S

         2  3  5   7  9  11  13  17

So the next prime number is 23 and the 23rd number in the alphabetic order is W.

Then, the sequence is B, C, E, G, K, M, Q, S, W

Therefore, the next letter in the sequence is W.

To learn more about the sequence visit:

brainly.com/question/30262438.

#SPJ1

"Your question is incomplete, probably the complete question/missing part is:"

B, C, E, G, K, M, Q, S, _____________.

What is the next alphabet in this sequence?

The population parameter being estimated is the confidence coefficient.

The confidence coefficient is the confidence level stated as a proportion, rather than as a percentage. For example, if you had a confidence level of 99%, the confidence coefficient would be . 99. In general, the higher the coefficient, the more certain you are that your results are accurate.

probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Hence, The probability that the interval estimation procedure will generate an interval that does not contain the actual value of the population parameter being estimated is the confidence coefficient.

To learn more about the confidence coefficient from the given link:

https://brainly.com/question/28315730

#SPJ4

Answer: F(x) = 2*sin(x/10  +(3/2)*pi) + 5

Step-by-step explanation:

The information that we have is that:

We have a minimum at (0, 3)

the midline is at (5*pi, 5)

This is a sinusoidal function, so we can write one generic one as:

F(x) = A*sin(c*x + p) + B.

where A and B are constants, c is the frequency and p is a phase

First, the minimum of the sine function is when sin(x) = -1, and this happens at (3/2)*pi

We know that this minimum is at x = 0.

sin(c*0 + p) = -1

Then p = 3/2*pi.

So our function is:

F(x) = A*sin(c*x  +(3/2)*pi) + B.

Now, we know that F(0) = 3, so:

3 = A*sin(c*0 +(3/2)*pi) + B = -A + B.

now we can use the other hint, the midpoint of the sine function is when sin(x) = 0, and this happens at x = 0 and x = pi, particularlly as we here have a phase of 3/2*pi, we should find x = 2*pi.

then:

c*5*pi + (3/2)*pi = 2*pi

c*5 + 3/2 = 2

c*5 = 2 - 3/2 = 1/2

C = 1/2*5 = 1/10

So our function is

F(x) = A*sin(x/10  +(3/2)*pi) + B

and we know that when x = 5*pi, F(5*pi) = 5, so:

5 = F(x) = A*sin(5*pi/10  +(3/2)*pi) + B

5 = B

and we aready knew that:

- A + B = 3

-A + 5 = 3

A = 5 - 3 = 2

So our equation is:

F(x) = 2*sin(x/10  +(3/2)*pi) + 5

Answer:

the correct answer is

\(f(x) = - 2 \cos( \frac{1}{10}x ) + 5\)

Answer:

C) 0

Step-by-step explanation:

Using the angle addition postulate,

\(x+83=2x+49+34 \\ \\ x+83=2x+83 \\ \\ x=0\)

Answer:

n=72x9

Step-by-step explanation:

Because Marley is 9x as much, so that's 72x9.

The conclusions that can be made about the two distributions are:

Options A and D are correct.

The means-to-MAD ratio is found by dividing the mean of a dataset by its Mean Absolute Deviation (MAD).

We have that in Data Set 1, the means-to-MAD ratio is 54/4 = 13.5, and in Data Set 2, the means-to-MAD ratio is 60/2 = 30.

Since the means-to-MAD ratio in Data Set 1 is 13.5 and in Data Set 2 is 30, we can conclude that the two distributions are not similar.

Learn more about means-to-MAD ratio at:

https://brainly.com/question/1187769

#SPJ4

Solving an equation in algebra - mathematics will BOMDAS rule. Multiplication, division, addition, and subtraction are performed before.

However, in order to simplify things, if there are any exponential or logarithmic components, solve them first before applying BOMDAS to reduce them to a single solvable term. This is required by the rules.

So the list goes as

1. Exponents

2. Roots

3. Multiplication

4. Division

5. additional

6. Subtraction

However. Using a regular or scientific calculator will generate a lot of debate. A scientific calculator will adhere to the principles, while a typical calculator will evaluate from left to right or precisely the operator used first.

Using a scientific calculator, 5+2x3=11 instead of the normal one's 5+2x3=21.

Furthermore, the preferred behavior norm for division and multiplication is different.

Thus, people's difficulty with mathematics is not unjustified. The choice of how you want to approach it is ultimately up to you.

Know more about algebra

https://brainly.com/question/22399890

#SPJ4

Answer:

-9

Step-by-step explanation:

16-25=-9

Answer: -9

Step-by-step explanation:

The instantaneous rate of change of f equals the average rate of change of f at 2 points in the closed interval [0, √π]: x = 0.673 and x = 1.325.

To find the points in the closed interval where the instantaneous rate of change of f equals the average rate of change of f, we need to set up the equation for the derivative of f and the formula for the average rate of change of f on the interval.

First, we can evaluate the integral to get:

f(x) = ∫x^2 0 (sin t) dt = 1 - cos x^2

Next, we can find the derivative of f:

f'(x) = sin x^2 * 2x

To find the average rate of change of f on the interval [0, √π], we can use the formula:

Average rate of change of f = [f(√π) - f(0)] / (√π - 0)

= [1 - cos π] / √π

= 2 / √π

Now, we can set up the equation:

f'(x) = 2 / √π

sin x^2 * 2x = 2 / √π

sin x^2 = 1 / (√π x)

We can solve for x numerically using a graphing calculator or computer software. The solutions are approximately x = 0.673 and x = 1.325. Since these solutions are within the interval [0, √π], they are valid solutions.

Therefore, the instantaneous rate of change of f equals the average rate of change of f at 2 points in the closed interval [0, √π]: x = 0.673 and x = 1.325.

learn more about instantaneous rate of change: https://brainly.com/question/28684440

#SPJ1

A plan with sufficient specifics to carry out a task or goal is called an action plan.

An action plan is a document used in project management that outlines the activities to take in order to accomplish the project's goals and objectives. Therefore, an action plan specifies the resources you'll need to achieve those goals, creates a timeframe for the tasks or action items, and establishes the team members you'll need to complete it all.

An action plan is a detailed checklist of the steps and materials required to finish a project or reach a goal. It can be viewed as a visual countdown to project completion or a list of tasks necessary to produce desired results.

A plan with sufficient specifics to accomplish a task or goal is called an action plan.

To learn more about action plan refer to:

https://brainly.com/question/1647350

#SPJ1

The maximum value of\((a_1 + 2a_2 + ... + na_n)^2\) under the given constraint is 1.

Here, we have to find the maximum value of the expression \((a_1 + 2a_2 + ... + na_n)^2\)under the given constraint ∑\((a_i^2)\) = 1, we can use the method of Lagrange multipliers.

Let's define the function F(a_1, a_2, ..., a_n, λ) as follows:

\(F(a_1, a_2, ..., a_n, \lambda ) = (a_1 + 2a_2 + ... + na_n)^2 + \lambda(1 - a_1^2 - 2a_2^2 - ... - na_n^2)\)

We need to find critical points of F by taking partial derivatives and setting them equal to zero:

\(\delta F/\delta a_i = 2i(a_1 + 2a_2 + ... + na_n) - 2\lambda ia_i = 0\) for i = 1, 2, ..., n

Also, we have the constraint: ∑\((a_i^2)\)= 1

Now, let's solve these equations:

From the partial derivatives, we get:

\(a_1 + 2a_2 + ... + na_n = \lambda a_1/i\) for i = 1, 2, ..., n

Summing these equations from i = 1 to n:

\(a_1 + 2a_2 + ... + na_n = \lambda (a_1 + a_1/2 + a_1/3 + ... + a_1/n)\)

Since ∑\((a_i^2)\) = 1, we have:

\(a_1^2 + a_2^2 + ... + a_n^2 = 1\)

Rearranging:

\(a_1^2 = 1 - a_2^2 - ... - a_n^2\)

Substituting into the equation above:

\(a_1 + a_1/2 + a_1/3 + ... + a_1/n = \lambda\)

Now, let's compute the sum of the reciprocals:

\(a_1(1 + 1/2 + 1/3 + ... + 1/n) = \lambda\)

\(a_1\) * (Harmonic number of order n) = λ

Now, let's find the value of \(a_1\):

\(a_1\) = λ / (Harmonic number of order n)

Since we know that \(a_1 + 2a_2 + ... + na_n = \lambda (a_1 + a_1/2 + a_1/3 + ... + a_1/n)\), we can find the value of λ:

\(a_1 + 2a_2 + ... + na_n\) = λ * (λ / (Harmonic number of order n) + λ / (2 * Harmonic number of order n) + λ / (3 * Harmonic number of order n) + ... + λ / (n * Harmonic number of order n))

\(a_1 + 2a_2 + ... + na_n = \lambda ^2 * (1 + 1/2 + 1/3 + ... + 1/n)\)

\(a_1 + 2a_2 + ... + na_n = \lambda ^2\) * (Harmonic number of order n)

From the constraint, we know that λ² * (Harmonic number of order n)² = 1.

Therefore, λ² = 1 / (Harmonic number of order n)²

Now, we can find the maximum value of \((a_1 + 2a_2 + ... + na_n)^2\):

\((a_1 + 2a_2 + ... + na_n)^2\) = (λ² * (Harmonic number of order n))²

\((a_1 + 2a_2 + ... + na_n)^2\) = (1 / (Harmonic number of order n)² * (Harmonic number of order n))²

\((a_1 + 2a_2 + ... + na_n)^2 = 1\)

Thus, the maximum value of\((a_1 + 2a_2 + ... + na_n)^2\) under the given constraint is 1.

learn more on maximum value

https://brainly.com/question/23274721

#SPJ12

The values of the given expressions are: a. f(g(0)) = 1, b. g(f(0)) = 43, c. f(g(x)) = x² + 1, d. g(f(x)) = x² + 14x + 43, e. f(f(-7)) = 7, f. g(g(4)) = 94, g. f(f(x)) = x + 14, h. g(g(x)) = x⁴ - 12x² + 30

To find the values of the given expressions, let's substitute the functions into each other as necessary:

a. f(g(0)):

First, evaluate g(0):

g(0) = 0² - 6 = -6

Then, substitute g(0) into f(x):

f(g(0)) = f(-6) = -6 + 7 = 1

b. g(f(0)):

First, evaluate f(0):

f(0) = 0 + 7 = 7

Then, substitute f(0) into g(x):

g(f(0)) = g(7) = 7² - 6 = 49 - 6 = 43

c. f(g(x)):

Substitute g(x) into f(x):

f(g(x)) = g(x) + 7 = (x² - 6) + 7 = x² + 1

d. g(f(x)):

Substitute f(x) into g(x):

g(f(x)) = (f(x))² - 6 = (x + 7)² - 6 = x² + 14x + 49 - 6 = x² + 14x + 43

e. f(f(-7)):

Evaluate f(-7):

f(-7) = -7 + 7 = 0

Substitute f(-7) into f(x):

f(f(-7)) = f(0) = 0 + 7 = 7

f. g(g(4)):

Evaluate g(4):

g(4) = 4² - 6 = 16 - 6 = 10

Substitute g(4) into g(x):

g(g(4)) = g(10) = 10² - 6 = 100 - 6 = 94

g. f(f(x)):

Substitute f(x) into f(x):

f(f(x)) = f(x + 7) = (x + 7) + 7 = x + 14

h. g(g(x)):

Substitute g(x) into g(x):

g(g(x)) = (g(x))² - 6 = (x² - 6)² - 6 = x⁴ - 12x² + 36 - 6 = x⁴ - 12x² + 30

To learn more about function: https://brainly.com/question/25638609

#SPJ11