In the regression model Yi = β0 + β1Xi + β2Di + β3(Xi × Di) + ui, where X is a continuous variable and D is a binary variable, β2
A. is usually positive.
B. indicates the difference in the intercept for D=1 versus D=0.
C. is the difference in means in Y between the two categories.

Answer:

No, this is not sample representative of the entire class

Step-by-step explanation:

A sample selected without any conscious bias such that each element of which has an equal probability of being selected. A representative sample has the same traits as that of its population as a whole.

''In a class, the teacher asks each person wearing red to name his or her

favorite color'' is not a representative sample as only persons are asked to name his or her  favorite color who are wearing red. So, each person of the class does not have an equal opportunity of being selected.

Answer:

HE IS CORREECT

Step-by-step explanation:

THROUGH BOTH EQUASIONS HE IS CORRECT

Answer:

y=-1/2x-2

Step-by-step explanation:

simplify the expression to get the equation in slope intercept form, and find the graph that fits it

The scale factor of the quadrilaterals is equal to 3 / 4.

In this problem we find the case of two similar quadrilaterals, two quadrilaterals are similar when their internal angles are congruent and sides are not congruent though proportional. Then, both figures can be related by proportion formula:

JN / JP = HN / LP = EH / KL = EJ / KJ

From which we can determine the scale factor. If we know that JN = 36, JP = 48, HN = 18, LP = 24, then the proportion formula is:

k = 36 / 48 = 18 / 24

k = 3 / 4 = 3 / 4

The two quadrilaterals have a scale factor of 3 / 4.

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Answer:

No solutions (x ∈ empty set)

Step-by-step explanation:

The absolute value of a number is the distance of that number to zero. Distance has to be greater or equal to zero, so therefore, there is no such "x" so that the absolute value of x is -5.

Hope this helps :)

Answer: 18 years

Step-by-step explanation:

The Rule of 72 is a way to calculate how long it will roughly take for an investment to double in size.

It works by dividing 72 by the interest rate as a whole number:

= 72/ interest rate

= 72 / 4

= 18 years

From the probability distribution for the number of defective items in a random sample, the expected value of X is 2.82.

To calculate the expected value of X, we need to multiply each possible value of X by its corresponding probability and sum them up.

The expected value of X, denoted as E(X) or μ, is calculated using the formula:

E(X) = ∑ (x * p(x))

where x represents each possible value of X and p(x) represents the corresponding probability.

In this case, the probability distribution for X is given as follows:

x: 0 1 2 3 4

p(x): 0.1 0.15 0.13 0.07 0.55

To calculate the expected value, we perform the following calculations:

E(X) = (0 * 0.1) + (1 * 0.15) + (2 * 0.13) + (3 * 0.07) + (4 * 0.55)

E(X) = 0 + 0.15 + 0.26 + 0.21 + 2.2

E(X) = 2.82

The expected value represents the average value or mean of the probability distribution. In this case, it represents the average number of defective items we expect to find in a random sample based on the given probabilities.

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Answer:

I did not graph the constant of proportionality.  It is at point (1, 1/2)

Step-by-step explanation:

See below

The unknown values in the triangle are ;

a = 45.3

angle B = 7°

angle A = 28°

In a triangle, side “a” divided by the sine of angle A is equal to the side “b” divided by the sine of angle B is equal to the side “c” divided by the sine of angle C.

Therefore,

a/sinA = b/sinB = c/sinC

So, we use the Sine rule to find the values of unknown lengths or angles of the triangle.

b/sinB = c/sinC

7/sinB = 33/sin145

33sinB = 7 sin145

33 sinB = 4.02

sinB = 0.122

B = 7°

angle A = 180-(145+7)

A = 180- 152

A = 28°

a/sinA = c/sinC

a/sin28 = 33/sin145

asin145 = 33sin128

0.574a = 26

a = 26/0.574

a = 45.3

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Answer:

I won't;))

Step-by-step explanation:

I will not Find the volume of the cone

to the nearest tenth with a

diameter of 2 ft and a height

of 8 ft:)

Answer:

33.493

Step-by-step explanation:

to find the volume of a cone the equation that you are going to use is:

\(V=\pi r^2 \frac{h}{3}\)

Step 1: Plugin

\(V=\pi 2^2 \frac{8}{3}\)

r/Diameter=2

h=8

step 2: solve

\(\pi =3.14\)

\(2^2=4\)

\(3.14 x 4x \frac{8}{3} = 33.49\)

Answer:

∠5 + ∠6 = 180°  

∠2 + ∠3 = ∠6

∠2 + ∠3 + ∠5 = 180°  

Step-by-step explanation:

Linear pair: If the non-common arms of two adjacent angles from a straight line, they are called linear pair. They add up to 180.

Exterior angle property of triangle: Exterior angle of a triangle is equal to the sum of opposite interior angles (remote angles).

Radians are a unit of measurement for angles used in mathematics and physics. They are defined as the ratio between the length of an arc of a circle and the radius of that circle.

One of the most important benefits of using radians to measure angles is that they simplify calculations involving angles, making them easier to work with.

Additionally, they allow for a more elegant and unified approach to mathematical and physical problems involving angles. So, in short, the word "radian" might be associated with concepts such as circles, arcs, and the measurement of angles in mathematics and physics.

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"Centripetal is the word used to describe a vector that always points toward the centre of a circular path."

The centripetal acceleration vector is an acceleration in the radial direction that is directed towards the centre of the circular line of motion. It runs perpendicular to the linear motion, or v.

The direction of the velocity shift for a ball travelling around a curve is in the direction of the curve's centre. Centripetal acceleration is the acceleration that is directed towards the centre of a curved or circular route.

Any force that changes the path of motion towards the centre of a circular motion is known as a centripetal force. The portion of the force that produces the centripetal force is the part that is perpendicular to the velocity.

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The given system is x'(t) = ax, where x is a vector function and a is a constant. To find the unique solution, we can solve the differential equation and apply the initial condition.

The solution to the system x'(t) = ax can be written as x(t) = e^(at)C, where C is a constant vector. To determine the value of C, we can use the initial condition x(0) = (-1, 2). Plugging in t = 0 and x(0) into the solution, we have:

x(0) = e^(a*0)C = e^0C = C.

Therefore, C = (-1, 2). Substituting this value of C back into the solution, we obtain the unique solution:

x(t) = e^(at)(-1, 2).

In summary, the unique solution to the system x'(t) = ax with the initial condition x(0) = (-1, 2) is x(t) = e^(at)(-1, 2).

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Answer:

C ) 18 hope this helps !!!

Answer:

C. 18

Step-by-step explanation:

If you multiply 30%, or .3 by 60, you get 18.

Answer:

19 books were checked out.

Step-by-step explanation:

284 + 28 = 312

312 - 293 =  19

Answer:

123.6​30189899 or A. $1,257.72

Step-by-step explanation:

\(\frac{4.25}{100}=0.0425\\ 100(1 + \frac{0.0425}{12})^{12(5)} \\= 123.630189899\)

A statement that correctly compares the growth of the plants include the following: B) Plant 2 grows faster than Plant 1.

In Mathematics and Geometry, the slope of any straight line can be determined by using the following mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = rise/run

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

By substituting the given data points into the formula for the slope of a line, we have the following;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) of Plant 1 = (4.5 - 2.5)/(1 - 0)

Slope (m) of Plant 1 = 2

In conclusion, we can logically deduce that Plant 2 grows faster than Plant 1 because a slope of 2.5 is greater than a slope of 2 i.e 2.5 > 2.

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Complete Question:

Growth of Plant 1

Number of days (x) Height in centimeters (y)

0 2.5

1 4.5

2 6.5

3 8.5

4 10.5

Jim observes two small plants in a garden. He records the growth of Plant 1 over several days as shown in the given table. He also determines that the function y = 2 + 2.5x represents the height y (in centimeters) of Plant 2 over x days. Which statement correctly compares the growth of the plants?

A) Plant 1 grows faster than Plant 2.

B) Plant 2 grows faster than Plant 1.

C) The two plants grow at the same rate.

D) Plant 2 grows faster than Plant 1 at first, but Plant 1 starts to grow faster after some time.

Answer:

Answer:

Pages(P)

Pages left to read(L)

Pages read(R)

L=P-R

R= 4/5 of 80

80/5=16

4*16=64

L=80-16

L=16

Step-by-step explanation:

Answer:

11+11+13+5+5+4+4=53

Step-by-step explanation:

so 4 is the answer

The power series for f(x) = 2/x allows us to approximate the function for different values of x, making it a valuable tool in calculus and other fields of mathematics.

To write the power series using summation notation for f(x) = 2/x, we need to first understand what a power series is. A power series is a series that represents a function as a sum of infinitely many terms, each containing a variable raised to a different power. In this case, we want to represent f(x) = 2/x as a power series.
The power series for f(x) = 2/x can be written in summation notation as follow
∑(n=1 to ∞) (−1)^(n−1) (x−1)^n
In this notation, the series starts from n=1 and goes to infinity. The term (-1)^(n-1) alternates between positive and negative values with each term, and (x-1)^n represents the variable raised to a power. The first term in the series, when n=1, is (x-1). The second term, when n=2, is -(x-1)^2/2. The third term, when n=3, is (x-1)^3/3, and so on.
The power series notation is a useful tool for representing functions in a compact and efficient way, allowing us to perform calculations with greater ease and accuracy. In this case, the power series for f(x) = 2/x allows us to approximate the function for different values of x, making it a valuable tool in calculus and other fields of mathematics.

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Answer:

The height would be 10.5 cm

Answer:

hb=10.5cm

Step-by-step explanation:

Area of triangle = 1/2(height x base)

The problem states that base is 8 cm greater than the height; therefore, base-8 = height.

A = 1/2(b*h)

42 = 1/2(b*[b-8])

84=(b^2-8b)

rearrange to

b^2 - 8b -84

factor to

(b+8)(b-14)

Therefore, b = -8 cm which makes no sense and

b = +14 cm

and height = 14-8 = 6

Check:

1/2(b*h) = area

1/2(14*6) = 1/2(84)=42

A woman 5-feet tall casts an 8-foot shadow. at the same time of day, the shadow of a tree nearby is 120 feet long. in feet, 75 feet  tall is the tree.

Let the tree height = x

From the question, we have

5/8 = x/120

x = (5*120)/8

x = 75 feet

Tree height = 75 feet

Multiplication:

Mathematicians use multiplication to calculate the product of two or more numbers. It is a fundamental operation in mathematics that is frequently utilized in everyday life. When we need to combine groups of similar sizes, we utilize multiplication. The fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The results of multiplying two or more numbers are known as the product of those numbers, and the factors that are multiplied are referred to as the factors. Repeated addition of the same number is made easier by multiplying the numbers.

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Answer:

I believe it is 7/20

Step-by-step explanation:

The 30-foot distance between single-family residences in the Desert Vista subdivision is called a "setback" in development terms.

This setback ensures that the neighborhood maintains adequate spacing between homes for privacy, safety, and aesthetics.

The distance between single-family residences in the new Desert Vista subdivision in Mesa is known as the "setback" in subdivision development terms.

Setbacks are regulations that define the minimum distance a building, such as a single-family residence, must be located from property lines or other structures.

These regulations ensure adequate spacing between buildings for various reasons, including privacy, safety, and aesthetics.
1. The student question mentions that the distance between single-family residences in the new Desert Vista subdivision in Mesa is 30 feet.
2. In subdivision development terms, such a distance is referred to as a "setback."
3. Setbacks are important for maintaining privacy, safety, and aesthetics in a neighborhood.
4. These regulations ensure that there is enough space between buildings, preventing overcrowding and allowing for proper ventilation, sunlight, and access to emergency services.
5. Setbacks vary depending on the type of structure and local zoning laws, which determine the minimum distance required between buildings.

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Answer: C

Step-by-step explanation: you multiply all your numbers together to get 420 and then you divide by 2 because it is half of a rectangle to get 210.

Column 1 : Alkali metals
Column 2 : Alkali earth metals
(that big ol 9 columns) : Transition metals
Column 7 : Halogens
Last column : Noble gases
First row : Lanthanides
Second row : Actinides

A group : same elements in a column, elements in the same group has the same amount of valence electrons.

A period : same elements in a row, elements in the same period has the same amount of electron shells.