Which of the following is true concerning linear regression as an explanatory model? Group of answer choices A. One should not presume that the marginal effects of the model are causal in nature just because they are statistically significant B. One can presume causality of marginal effects as long as the variable concerned is unrelated to any other relevant variable outside the model even if they are statistically insignificant C. Both A and B D. None of the above

Answer:

x = 6

y = - 4

Step-by-step explanation:

3x + 4y = 2

2x + 2y = 4

Time the second equation by -2

3x + 4y = 2

-4x - 4y = - 8

-x = -6

x = 6

Now we put 6 in for x and solve for y

3(6) + 4y = 2

18 + 4y = 2

4y = -16

y = - 4

Let's Check

3(6) + 4(-4) = 2

18 - 16 = 2

2 = 2

So, x = 6 and y = -4 is the correct answer.

The resultant of the expression (((-3/5)+(5/3))-(2-4/3)) will be 2/5.

What exactly are expressions?

In mathematics, an expression is a combination of numbers, variables, and mathematical operations that can be evaluated to produce a value. Expressions can be as simple as a single number or variable, or they can be more complex, involving multiple numbers, variables, and operations.

For example, 3 + 5 is an expression that represents the sum of two numbers, which evaluates to 8. Another example is 2x - 5, which involves a variable (x) and two operations (multiplication and subtraction).

Now,

Let's start by simplifying (-3/5 + 5/3):

First, we need to find a common denominator between 5 and 3, which is 15

then,

-3/5 + 5/3 = -9/15 + 25/15

Next, we can add the two fractions:

-9/15 + 25/15 = 16/15

So, (-3/5 + 5/3) simplifies to 16/15.

Now, let's simplify (2 - 4/3):

We can rewrite 2 as 6/3, then subtract 4/3:

6/3 - 4/3 = 2/3

So, (2 - 4/3) simplifies to 2/3.

Finally, we can subtract 2/3 from 16/15:

16/15 - 2/3

To subtract fractions, we need a common denominator between 15 and 3, which is 15. then

16/15 - 10/15 = 6/15

So, the resulting constant is 6/15, which can be simplified by dividing both the numerator and denominator by their greatest common factor (which is 3):

6/15 = 2/5

Therefore,

                the resulting constant is 2/5.

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Given:

A figure of a right angle triangle.

To find:

The length of the shorter leg.

Solution:

In a right angle triangle,

\(\tan\theta =\dfrac{Opposite}{Adjacent}\)

In the given triangle,

\(\tan (60^\circ) =\dfrac{18}{x}\)

\(\sqrt{3}=\dfrac{18}{x}\)

\(x=\dfrac{18}{\sqrt{3}}\)

\(x=\dfrac{18}{\sqrt{3}}\times \dfrac{\sqrt{3}}{\sqrt{3}}\)

On further simplification, we get

\(x=\dfrac{18\sqrt{3}}{3}\)

\(x=6\sqrt{3}\)

\(x=10.3923\)

\(x\approx 10.4\)

Therefore, the length of the shortest leg is 10.4 and the correct option is B.

Answer:

x-intercept(s):

(1,0),(3/2,0)

y-intercept(s): (0,3)

Use the formula

x=−b/2a to find the maximum and minimum.

Ans;(5/4,−1/8)

Coordinates Of The Vertex

(5/4,−1/8)

Zero (roots)

x=1,3/2

Step-by-step explanation:

Answer:

4c^2 - 3a^2 -7ac +6bc -ab

Step-by-step explanation:

solve first 3a( a + b + c) - 2b ( a+ b +c)

which is = 3a^2 + 3ab + 3ac - 2ab - 2b^2 -2bc

there for 4c(-a + b +c) -( 3a^2 + 3ab + 3ac - 2ab - 2b^2 - 2bc)

= -4ac-3ac +4bc+2bc -3ab+2ab + 4c^2 -3a^2

=4c^2 - 3a^2 -7ac +6bc -ab

The depth of the water in the cone-shaped tank is increasing at a rate of approximately 1.385 meters per second.

To determine the rate at which the depth of the water is changing, we can use related rates. Let's denote the depth of the water as h(t), where t represents time. We are given that dh/dt (the rate of change of h with respect to time) is 12 m/sec, and we want to find dh/dt when h = 18 meters.

To solve this problem, we can use the volume formula for a cone, which is V = (1/3)πr^2h, where r is the base radius and h is the depth of the water. We can differentiate this equation with respect to time t, keeping in mind that r is a constant (since the base radius does not change).

By differentiating the volume formula with respect to t, we get dV/dt = (1/3)πr^2(dh/dt). Now we can substitute the given values: dV/dt = 12 m/sec, r = 26 meters, and h = 18 meters.

Solving for dh/dt, we have (1/3)π(26^2) (dh/dt) = 12 m/sec. Rearranging this equation and solving for dh/dt, we find that dh/dt is approximately 1.385 meters per second. Therefore, the depth of the water in the tank is increasing at a rate of about 1.385 meters per second.

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Answer:

10

Step-by-step explanation:

Use your fingers

Answer:

Physical means the actual wires.  Physical is concerned with how the wires are connected. Logical is concerned with how they transmit.

a. Logical

Step-by-step explanation:

...

The arrangement of network cabling between devices is a physical topology. which is the correct answer would be option (C).

The physical configuration of a network, such as the physical arrangement of wires, media (computers), or cables, is referred to as its topology. A link can connect two or more devices, and when the number of connections reaches two, they constitute a physical topology.

A physical network diagram depicts the connecting of devices via cables or wireless links. A logical network diagram, on the other hand, depicts data and signal transfer throughout a network.

Therefore, the arrangement of network cabling between devices is a physical topology.

Hence, the correct answer would be an option (C).

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Answer:

0.375

Step-by-step explanation:

Answer:

decimal is 0.375.

Step-by-step explanation:

just divide 8 by 3

Answer:

They-intercept of the linear function that is represented by the graph is (0,-2)

Step-by-step explanation:

it is where the line meets with the y-axis at a single point, in this case the point is (0,-2)

I hope that this helped

have a good day

Answer:

Slope: 2/3; y-intercept: -2

Answer:

the third option contains imaginary numbers

Step-by-step explanation:

Imaginary numbers are the numbers when squared it gives the negative result. In other words, imaginary numbers are defined as the square root of the negative numbers where it does not have a definite value. It is mostly written in the form of real numbers multiplied by the imaginary unit called “i”. so we can express them as follows; √-2 = √-1 × √2 = √2 i.... √-1 = i

√-9 = √-1 × √9 = 3i

Answer:

B) The cat weighs 4 kilograms when it is 7 months old.

Step-by-step explanation:

P.S - The exact question is -

Given - Function w gives the weight of a cat, in kilograms, when it is

             m months old.

To find - Which statement represents the meaning of the equation

               w(7) = 4 in this situation?

              A) The cat weighs 7 kilograms when it is 4 months old.

              B) The cat weighs 4 kilograms when it is 7 months old.

              C)The weight of the cat has been 7 kilograms for 4 months.

              D) The cat weighs 4 kilograms when it is 7 years old.

Proof -

Given that,

Function w gives the weight of a cat , in kilograms, when it is m months old.

So, the function is represented as

w(x) = y

It means

The weight of the cat is y kilograms when she is x months old.

Now,

Given the function is w(7) = 4

Put x = 7 , y = 4 , we get

The weight of the cat is 4 kilograms when she is 7 months old.

So,

The correct option is - B) The cat weighs 4 kilograms when it is 7 months old.

Answer:

18

Step-by-step explanation:

a = 6

3a = 6 x 3 = 18

When you see alphabets with numbers at the back like 2, 4 or etc, just multiply them.

Answer: first one 17

second one 8

Step-by-step explanation:

Explanation:

First add up the scores: 75+70+80+80+85+90 = 480

Then divide by n = 6 because there are 6 scores. We get 480/n = 480/6 = 80 as the mean.

The quadratic function f(x)=2(x+1)^2-8 in standard for and intercept form is 2x^2+4x-6 and (x-1)(x+3).

Given:

f(x) = 2(x+1)^2 - 8

= 2(x^2+1+2x) - 8

= 2x^2 + 2 +4x - 8

= 2x^2+4x-6(standard form)

Intercept form:

= 2x^2+4x-6

= (x-1)(x+3)

x-1 = 0

x = 1

x+3 = 0

x = -3

(1,0) and(-3,0).

Therefore the quadratic function f(x)=2(x+1)^2-8 in standard for and intercept form is 2x^2+4x-6 and (x-1)(x+3).

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ASA: ∆ABC and ∆DEF are congruent if angle B is congruent to angle E. SAS: ∆ABC and ∆DEF are congruent if angle A is congruent to angle D and AB=DE.

What is congruent ?

In geometry, congruent refers to the condition where two or more figures have the same size and shape. Congruent figures have the same dimensions, angles, and proportions. Two figures are congruent if they can be superimposed exactly on each.

1) If, C.) Angle B is congruent to angle E then ∆ABC and ∆DEF are congruent by the ASA criterion.

2) If, D.) Angle A is congruent to angle D then ∆ABC and ∆DEF are congruent by the SAS criterion.

3) ∆ABC and ∆DEF are congruent if B.) AB=DE

ASA criterion: If in two triangles, two angles and the included side of one triangle are congruent to the corresponding parts of the other triangle, the two triangles are congruent.

ASA: ∆ABC and ∆DEF are congruent if angle B is congruent to angle E. SAS: ∆ABC and ∆DEF are congruent if angle A is congruent to angle D and AB=DE.

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we can expect a typical shopper to visit the store about 6 times in a 30-day period, on average.

What is the average?

This is the arithmetic mean and is calculated by adding a group of numbers and then dividing by the count of those numbers. For example, the average of 2, 3, 3, 5, 7, and 10 is 30 divided by 6, which is 5.

If we assume that a typical shopper makes an average of 36 trips to the store over a 180-day period, we can use the Poisson distribution to calculate the expected number of trips in a 30-day period.

The Poisson distribution describes the probability of a certain number of events occurring in a fixed interval of time or space, given the average rate at which they occur. In this case, we can use the Poisson distribution to model the number of trips a typical shopper makes to the store in a 30-day period, given the average rate of 36 trips over 180 days.

The formula for the Poisson distribution is:

\(P(X = k) = (\lambda^k * e^{(-\lambda)}) / k!\)

where:

X is the number of events (in this case, trips to the store)

λ is the average rate of events per interval (in this case, 36 trips over 180 days)

k is the number of events we want to calculate the probability for

To find the expected number of trips in a 30-day period, we can set λ equal to the average rate of trips per day (i.e., 36 trips / 180 days = 0.2 trips per day), and k equal to the number of days in a 30-day period (i.e., 30 days).

So, the expected number of trips a typical shopper makes to the store in a 30-day period is:

λ = 0.2 trips per day * 30 days = 6 trips

Therefore, we can expect a typical shopper to visit the store about 6 times in a 30-day period, on average.

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Answer:

• Upper quartile = 75

• Lower quartile = 63

Step-by-step explanation:

We are given the following set of numbers:

58, 59, 60, 62, 64, 67, 68, 69, 70, 73, 74, 75, 75, 76, 78, 81.

We can see that there are 16 numbers in this set.

Since the numbers are already arranged in ascending order, we don't need to rearrange them.

To find the position of the upper quartile of a set of numbers, we can use the formula:

\(\boxed{Q_3 = \frac{3}{4}(n + 1)}\),

where:

• \(Q_3\) = position of upper quartile

• \(n\) = number of numbers in set (16).

Substituting \(n = 16\) into the formula:

\(Q_3 = \frac{3}{4}(16 + 1)\)

    ⇒ \(\frac{3}{4}(17)\)

    ⇒ \(\bf 12.75\)

Since the position is a decimal number, we have to find the value above and below this position in the data set, and find their average. This means that, since our position is 12.75, we have to take the 12th and 13th values and find their mean.

∴ Upper quartile = \(\frac{12th \space\ value \space\ + \space\ 13th \space\ value}{2}\)

                            = \(\frac{75+ 75}{2}\)

                            = \(\bf 75\)

To find the To find the position of the lower quartile of a set of numbers, we can use the formula:

\(\boxed{Q_1 = \frac{1}{4}(n + 1)}\).

Substituting \(n = 16\) into the formula:

\(Q_3 = \frac{1}{4}(16 + 1)\)

    ⇒ \(\frac{1}{4}(17)\)

    ⇒ \(\bf 4.25\)

As this is a decimal, we have to find the 4th and 5th values and calculate their average:

∴ Lower quartile = \(\frac{4th \space\ value \space\ + \space\ 5th \space\ value}{2}\)

                            = \(\frac{62+ 64}{2}\)

                            = \(\bf 63\)

We use standard uncertainty because it helps to make less error when finding out mean value of a given sets.

Uncertainty is the non-exact value derived by counting the number of points and subtracting their standard deviation. The result obtained should be an approximation rather than a precise value. The score of spread values from the provided set of data is known as standard deviation.

There could be several points in the uncertainty. Errors could occur if the days are rounded uncertainly. We use single data to view uncertainty in the situation of single data. Additionally, rounding uncertainty is appropriate if the level is the same as the measured uncertainty. We measure and compute the mean after taking the set of values into account multiple times. Finding the mean's uncertainty is important.

Therefore we use the relation,

σmean = σindividual/√(n-1)

Value is less than the value of reading-specific uncertainty. As a result of the additional number measurements caused by the rounding process, the uncertainty exceeds the standard deviation by a significant amount.

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You can approximate the probability using the standard normal distribution table by looking up the closest values for Φ(2) and Φ(1).

To calculate the probability P(1 < z < 2) for a standard normal random variable, we can use the cumulative distribution function (CDF) of the standard normal distribution.

The CDF gives us the probability that a standard normal random variable is less than or equal to a given value. We can use this information to calculate the probability between two values.

Let's denote the CDF of the standard normal distribution as Φ(z). The probability P(1 < z < 2) can be calculated as follows:

P(1 < z < 2) = Φ(2) - Φ(1)

To calculate this, we need to look up the values of Φ(2) and Φ(1) from a standard normal distribution table or use a calculator/computer software. However, since I don't have access to real-time computations in this environment, I am unable to provide the exact numerical value.

But you can use statistical software or online calculators to find the precise value. Alternatively, you can approximate the probability using the standard normal distribution table by looking up the closest values for Φ(2) and Φ(1).

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Answer:

3

Step-by-step explanation:

18 + 13 is 31.

31 is more than 28, and for the people who learn both languages(x), we can do 31-28 = x. 31-28 is 3, so the answer is B, or 3.

The homogeneous system of linear equations has a solution space with a basis of {(1, 2, -1)}. The dimension of the solution space is 1.

To find a basis for the solution space of the given homogeneous system of linear equations, we need to solve the system and express the solutions in terms of a linear combination of vectors.

The system of equations is as follows:

Equation 1: -x + y - z = 0

Equation 2: 2x - y = 0

Equation 3: 2x - 3y - 4z = 0

We can start by using the equations to eliminate variables. From Equation 2, we can express y in terms of x as y = 2x. Substituting this into Equation 1 gives us -x + 2x - z = 0, which simplifies to x - z = 0. Rearranging this equation, we have x = z.

Now, we can express the variables in terms of a single parameter. Let's choose z as the parameter. Thus, x = z and y = 2x = 2z.

Now, we can express the solutions in vector form as (x, y, z) = (z, 2z, z) = z(1, 2, 1). This means that the solution space is spanned by the vector (1, 2, 1).

To find the basis for the solution space, we need to check if the vector (1, 2, 1) is linearly independent. Since it is the only vector spanning the solution space, it is linearly independent. Therefore, the basis for the solution space is {(1, 2, 1)}.

The dimension of the solution space is equal to the number of vectors in the basis, which in this case is 1. Therefore, the dimension of the solution space is 1.

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Answer:

√113

Step-by-step explanation:

As per distance formula:

Points are:

So the distance:

Answer is √113

Answer:

√113

Step-by-step explanation:

B(3,5) , A(-4,-3)

distance between 2 points : d

d=√(x2-x1)²+(y2-y1)²

d=√(3-(-4)²+(5-(-3)²

d=√7²+8²

d=√49+64

d=√113

Answer:

(9, -5)

Step-by-step explanation:

The vector AC has coordinates (27, -18), because:

21 - (-6) = 27

-13 - 5 = -18

If the ratio of AB to BC is 5 to 4, it means that

AB = [5/(5+4)]AC = (5/9)AC

Therefore, we have

AB = (5/9)AC = (5/9) (27, -18) = (15, -10)

Which means that:

xB - xA = 15 <=> xB - (-6) = 15 <=> xB + 6 = 15 <=> xB = 9

yB - yA = -10 <=> yB - 5 = -10 <=> yB = -10 + 5 <=> yB = -5

So B has coordinates (9, -5).

The first part of Marwan's question could be answered by developmental psychology,

while the second part could be answered by cognitive psychology.

We have,

The first part of Marwan's question could be answered by developmental psychology, which focuses on the study of human growth, including how children learn and acquire language over time.

The second part of his question could be answered by cognitive psychology, which investigates mental processes such as perception, memory, thinking, and language use in adults, including how language is utilized for communication and understanding.

Thus,

The first part of Marwan's question could be answered by developmental psychology,

while the second part could be answered by cognitive psychology.

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The first part could be answered by developmental psychology.

The second part could be answered by social psychology .

Developmental psychology is a life long process and the field deals with the changes including language. This fields talks about how the individual gets inherited from other individuals action and language .

Social psychology tells us about the role played by the surrounding in the development of one individual . In the context of language and communication the impact of social factors on language use are to be considered on priority .

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Answer:

Second option

Step-by-step explanation:

Check the relationship between the x digits and compare with y digits. It must be the same all through

In the second option x =2y for all the digits

4:2, 7:3.5,8:4,10:5

The scale factor by which the picture has been enlarged is 3.5

It is given that the width of the picture is 5 inches and the length of the picture is 17.5 inches.

Length (l) = 7 inches

Width (b) = 5 inches

The picture is a rectangle, so the area of the picture will be the product of the length and the width, that is Area = 7 * 5 = 35 square inches.

The picture has been enlarged, let k be the scale factor that has been used to enlarge the picture.

The width has been enlarged to 17.5 inches

And the length has been enlarged to 24.5 inches

So, 5 * k = 17.5 and 7* k = 24.5

After solving these two equations, we get

k = 3.5

So, the scale factor by which the picture has been enlarged is 3.5

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Answer:

Step-by-step explanation:

To get a larger image - you multiply the original dimensions.

To find the scale factor - divide each enlarged dimension by its matching original dimension.

17.5 divided by 5 = 3.5

24.5 divided by 7 = 3.5

This is the scale factor for the enlargement.

The answer options are fractions - 17.5/5 = 3.5

so that is the correct choice.