Do you hate when people don’t answer your questions

Adding the same constant to each data value in a set does not change the standard deviation. The standard deviation remains the same regardless of the constant added.

To calculate the standard deviation (s) of the original data set, we can use the defining formula or the computation formula. The result is found to be 6.3 (rounded to four decimal places).

After adding 3 to each data value in the set, we obtain the new data set: 15, 19, 7, 11, ST. To compute the new standard deviation, we can use the same formulas as before. The result is entered as a number.

In general, when the same constant (c) is added to each data value in a set, the standard deviation remains the same. This is because adding a constant does not affect the spread or dispersion of the data values. The standard deviation is a measure of dispersion and is based on the differences between each data value and the mean. Adding the same constant to each data value does not change the differences or the overall spread of the data set, resulting in the standard deviation remaining unchanged.

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Answer:

8(.4) + .4a - a = .6(8)

3.2 - .6a = 4.8

.6a = 1.6, so a = 2 2/3 quarts

The limit exist for →0f(8 h)−f(8)h is 48.

Follow these steps:

1. Substitute the given function f(x) = 3x² into the expression: lim(h→0) [(3(8+h)² - 3(8²))/h]

2. Expand the expression: lim(h→0) [(3(64 + 16h + h²) - 3(64))/h]

3. Simplify the expression: lim(h→0) [(192 + 48h + 3h² - 192)/h]

4. Cancel out the constant terms: lim(h→0) [(48h + 3h²)/h]

5. Factor out h from the expression: lim(h→0) [h(48 + 3h)/h]

6. Cancel out h from the numerator and denominator: lim(h→0) [48 + 3h]

7. Substitute h = 0 into the expression: 48 + 3(0) = 48

So, the limit is 48.

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We have to find the table that represents the expression:

This means that when x approaches 7, the value of g(x) approaches 6.

For the first table, when we approach x = 7 from the left, g(x) approaches 6, but this does not happens when we approach x = 7 from the right side: the value approaches g(x) =7 which differs from 6.

For the second table, when we approach x = 7 from the left, g(x) is differne tfrom 6.

For the third table, we can not see which values approaches g(x) when x approaches 7.

For the fourth table we can see that from both sides of x = 7, g(x) approaches 6, so this table represents the expression:

Answer: Fourth table.

Answer:

True

Step-by-step explanation:

Firstly, “ % ” means percent, which, as it name says, is the amount of the number per 100 .

Take 5% for instance, 5 percent would mean 5/100

Likewise, x%=x/100

Now x% of y means x/100×y=xy/100

but also, y% of x means y/100×x=yx/100

and therefore these two are the same!

The inequality to model the situation will be 24b ≤ 250

Inequalities are simply created through the connection of two expressions. In this case, it should be noted that the expressions in an inequality are not always equal. Inequalities implies that the expressions are not equal. Here, they are denoted by the symbols ≥ < > ≤.

Based on the information, the inequality to model the situation will be 24b ≤ 250. The number of baseball will be:

24b ≤ 250

b ≤ 250 / 24

b ≤ 10

The number of baseball will be 10 or less.

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When Myriam was flying in the plane at a cruising altitude of 10 km, she felt no different sitting in her seat than she had felt on the ground. This is because both the plane and its occupants, including Myriam, are moving at the same speed and direction relative to each other. In other words, there is no relative motion between Myriam and the plane's interior.

From the perspective of the passengers inside the plane, they are essentially moving together as a single unit. The air inside the cabin is also moving with the same velocity as the plane. Therefore, there is no noticeable change in sensation or feeling of motion. This is similar to how we don't feel the motion of being inside a moving car if we are not looking outside or feeling any external forces.

The sensation of motion primarily arises when there is a change in velocity or when there are external forces acting on our bodies. In the case of an airplane flying smoothly at a constant speed and altitude, there are no significant forces or changes in velocity experienced by the passengers, so they feel no different than if they were on the ground.

The magician's trick of pulling a tablecloth out from under a set of dishes on a table is explained by the principle of inertia, which is a fundamental concept of Newton's First Law of Motion. According to Newton's First Law, an object at rest tends to stay at rest, and an object in motion tends to stay in motion with the same speed and direction, unless acted upon by an external force.

When the magician pulls the tablecloth rapidly, the key is to apply a quick and forceful pull in a horizontal direction. By doing so, the frictional force between the tablecloth and the dishes is overcome, and the tablecloth slides out from underneath the dishes. Due to the inertia of the dishes, they tend to resist changes in their state of motion, so they remain relatively stationary even as the tablecloth is rapidly removed.

The magician's trick is more successful when the tablecloth is pulled rapidly rather than slowly. Pulling the tablecloth slowly would increase the time over which the frictional force acts, causing a greater chance for the dishes to be affected by the force and potentially get disturbed or toppled. A rapid pull reduces the duration of the force acting on the dishes, allowing them to maintain their state of motion (or rest) due to inertia and minimizing the likelihood of disruption.

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Answer:

slope of y= -1+3x is "3"

of y=-x+7 is "-1"

of y=3x+8 is "3"

i) y intercept = "-9"

ii) y intercept = "-2"

The multiple regression model is a model with single dependent variables and multiple independent variables.

The term regression referred as a statistical method that helps us to analyze and understand the relationship between two or more variables of interest.

Here we have to find the missing term in the statement "the multiple regression/correlation model is a model with"

In order to find the solution, we must know the definition of multiple regression model.

Multiple Regression model in statistics is defined as the is a statistical technique that can be used to analyze the relationship between a single dependent variable and several independent variables.

Based on these definition, we have identified that it has single dependent variable and multiple independent variable.

Therefore, option (c) is correct.

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An histogram provides a good visualization of data, however, the values of the data points are left out in an histogram

The correct responses are as follows;

1. The possible mean is given as follows;

Mean = ∑(fx)/(∑f)

Using the central values, we have;

Estimate of the Mean = (4.5×4 + 7.5×9 + 10.5×5 + 13.5×6 + 16.5×1)/(1 + 9+ 5+ 6+ 1) ≈ 10.7

2. The median is the middle value class

The total area of the histogram is given as follows

3 × (4 + 9 + 5 + 6 + 1) = 75

The middle value is located at half the total area = 75/2 = 37.5

The median class is the class of catfish with length 6 - 9 inches

3. There where 5 fishes caught that have lengths between 9 and 12 inches and there where 6 fishes caught that are 12 to 15 inches long

4. No, the longest fish caught was 18 inches long

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A histogram enables a better data visualization, but that the values of the datasets in the histogram have been left out.

Following are the responses to the given points:

        Mean \(\bold{= \frac{\Sigma(fx)}{(\Sigma f)}}\)

        We use the central values;

        Estimate of the Mean:

                   \(\bold{= \frac{(4.5\times 4 + 7.5 \times 9 + 10.5\times 5 + 13.5\times 6 + 16.5 \times 1)}{(1 + 9+ 5+ 6+ 1)}} \\\\ \bold{= \frac{18 + 67.5 + 52.5 + 81 + 16.5}{22}} \\\\ \bold{= \frac{235.5}{22}} \\\\ =\bold{10.704 \approx 10.7}\)

        The entire histogram area is shown as follows:

          \(\to \bold{3 \times (4 + 9 + 5 + 6 + 1)= 3 \times (25)= 75}\)

          This same average value is half the entire area \(\bold{= \frac{75}{2} = 37.5}\)

          The average class seems to be catfish 6 - 9 inches long.

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Answer:

The apples and oranges cost .49 cents each

Step-by-step explanation:

When we do 5 + 2 we get 7, 7 is our number of apples and oranges combined.

Next we do 3.45 divided by 7 and get .49

When we do the same for thursday, we get the same answer which confirms our answer.

Answer:

5/6

Step-by-step explanation:

divide each by 6 and you get 5/6

have a good day :)

Answer:

7p(p-1)

Step-by-step explanation:

7p²-7p=7p(p-1)

Answer:

\(y=\frac{4}{5} x-5.\)

Step-by-step explanation:

1) the common form of linear function in slope=interseption form is: y=s*x+i, where 's' and 'i' are slope and interception, unknown numbers;

2) if f(0)=-5, that means i=-5 and the equation is y=s*x-5, where s - unknown number;

3) f(5)=-1 and if to substitute x=5; y= -1 into y=x*s-5, then it is possible to calculate the value of 's': -1=5s-5; ⇒ s=4/5;

4) finally, the required linear function is:

\(y=\frac{4}{5} x-5\).

P.S. note, the suggested way is not the shortest one.

They may require more advanced techniques from dynamical systems theory to fully understand the behavior of the system.

If both eigenvalues of a critical point of a linear system of differential equations in two dimensions are real and equal, the critical point is a degenerate node.

The behavior of the solutions near a degenerate node depends on the higher-order terms in the Taylor series expansion of the vector field around the critical point. Specifically, the critical point is asymptotically stable if the higher-order terms in the Taylor series expansion satisfy certain conditions, and unstable otherwise.

If the higher-order terms in the Taylor series expansion satisfy the so-called "center manifold" conditions, then the critical point is a center, and the solutions near the critical point exhibit periodic behavior.

In general, the classification of a critical point with real and equal eigenvalues can be more complicated than the case where the eigenvalues have different signs, and may require more advanced techniques from dynamical systems theory to fully understand the behavior of the system.

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Answer:

\(2.5 \sqrt{2} \)

Step-by-step explanation:

Given:

A square GHJK

l (side length) = 5

Find: GL- ?

First, we can find the length of the diagonal GJ from ∆GJK by using the Pythagorean theorem:

\( {gj}^{2} = {gk}^{2} + {jk}^{2} \)

\( {gj}^{2} = {5}^{2} + {5}^{2} = 25 + 25 = 50\)

\(gj > 0\)

\(gj = \sqrt{50} = \sqrt{25 \times 2} = 5 \sqrt{2} \)

The diagonals of the square bisect each other when they intersect, so GL will be equal to half the diagonal (intersection point L):

\(gl = 0.5 \times gj = 0.5 \times 5 \sqrt{2} = 2.5 \sqrt{2} \)

Answer:

c)0.65

Step-by-step explanation:

Answer:

0.65

Step-by-step explanation:

1.2 + 0.65 = 1.85

1.85 + 0.65 = 2.5

2.5 + 0.65 = 3.15

And so on...

The speed at which the red car is actually traveling along the road is 90 feet per second.

A red car is driving along the road in the direction of the police car and is 180 feet up the road from the location of the police car.

The police radar reads that the distance between the police car and the red car is decreasing at a rate of 90 feet per second.

Therefore, the speed at which the red car is actually traveling along the road is 90 feet per second.

Summary: The speed at which the red car is actually traveling along the road is 90 feet per second.

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Answer:

D

Step-by-step explanation:

Given the input - 1 \(\frac{1}{2}\) = - \(\frac{3}{2}\) , then

(- \(\frac{3}{2}\) )² = \(\frac{9}{4}\) , then subtract 2

\(\frac{9}{4}\) - 2 = \(\frac{9}{4}\) - \(\frac{8}{4}\) = \(\frac{1}{4}\)

Then reciprocal which is 1 over the previous value

reciprocal = \(\frac{1}{\frac{1}{4} }\) = 4 ← output → D

To determine if the vector p(t) = t² + t + 2 belongs to the span of the vectors {p₁(t), p₂(t), p₃(t), p₄(t)}, we need to check if there exist scalars c₁, c₂, c₃, and c₄ such that c₁p₁(t) + c₂p₂(t) + c₃p₃(t) + c₄p₄(t) = p(t). If such scalars exist, then p(t) can be expressed as a linear combination of the given vectors.

To determine if p(t) belongs to the span of {p₁(t), p₂(t), p₃(t), p₄(t)}, we need to find scalars c₁, c₂, c₃, and c₄ such that c₁p₁(t) + c₂p₂(t) + c₃p₃(t) + c₄p₄(t) = p(t).

Substituting the given expressions for p₁(t), p₂(t), p₃(t), and p₄(t), we have:

c₁(2t² + t + 2) + c₂(t² - 2t) + c₃(5t² - 5t + 2) + c₄(-t² - 3t - 2) = t² + t + 2.

To determine if a solution exists, we need to equate the coefficients of corresponding terms on both sides of the equation. By matching the coefficients of t², t, and the constant term, we can form a system of equations.

Solving this system of equations, we can find the values of c₁, c₂, c₃, and c₄. If a solution exists, then p(t) can be expressed as a linear combination of p₁(t), p₂(t), p₃(t), and p₄(t), indicating that p(t) belongs to their span. If no solution exists, then p(t) does not belong to the span of the given vectors.

By solving the system of equations, if a solution exists, we can conclude whether p(t) belongs to the span.

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Part a

Comparing the \(\vec{i}\) components, \((p+14)/2=9 \implies \boxed{p=4}\)

Comparing the \(\vec{j}\) components, \((8+q)/2=40 \implies \boxed{q=72}\)

Part B

\(\overrightarrow{OM}=9\vec{i}+40\vec{j} \implies \left|\overrightarrow{OM}\right|=\sqrt{9^2 +40^2}=41\\\\\)
Dividing each of the components of \(\overrightarrow{OM}\) by this magnitude, the unit vector is \(\boxed{\frac{9}{41}\vec{i}+\frac{40}{41}\vec{j}}\).

A test of significance is used to draw inferences about the population based on a sample and assess the significance of the observed effect.

A test of significance helps in answering the question, "Is the observed effect due to chance?" In statistical terms, it determines whether the difference between the sample mean and population mean is statistically significant or just a result of random sampling error. A test of significance helps in identifying whether the difference observed in the sample is large enough to conclude that the effect is real and not just a chance occurrence.

It calculates the probability of obtaining such a difference if the null hypothesis (no difference) is true. If this probability is less than the predetermined significance level, we reject the null hypothesis and accept that the effect is statistically significant. Therefore, a test of significance is used to draw inferences about the population based on a sample and assess the significance of the observed effect.

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This is a matched pairs design because both types of tread were randomly assigned to each vehicle.

The term matched pairs design has to do with the situation in which participants are randomly assigned to an experiment or a control group. For each participant assigned to an experimental group, another is assigned to the control group.

Thus, this is a matched pairs design because both types of tread were randomly assigned to each vehicle.

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Answer:

Lower right

Step-by-step explanation:

In a linear function, you always add the same number to the y to get the next y. See in that table the first y is 7. Add 2 to get to 9. So to be linear, you need to add 2 to get each other y. So, 7, 9, 11, 13, that's how you know it's a linear function because you add 2 to get the next y term (the fancy term is a common difference, but the idea is simple!)

Answer:

it the last chart the that saids

Step-by-step explanation:

x=2,4,6,8

y=7,9,11,13

you just have to subtract the y and then the x and divide them by each other

like this this the y = 9-7=2 and then the x = 4-2 =2 you divide what you got for x and y 2/2 =1 and do the same for the other and it be the same number for it to be linear function

When the weight moves from x = -8 cm to x = 8 cm, the spring moves from its maximum stretched position to its maximum compressed position.Hence, the spring oscillates between its maximum stretched and compressed positions when the weight is set in motion. Therefore, the spring is a simple harmonic oscillator.

Given: Displacement x

= 8 cos t

= Acos(ωt+ φ) where A

= 8 cm, ω

= 1 and φ

=0. To find: What is the spring?Explanation:We know that displacement is given by x

= 8 cos t

= Acos(ωt+ φ) where A

= 8 cm, ω

= 1 and φ

=0.Comparing this with the standard equation, x

= Acos(ωt+ φ)A

= amplitude

= 8 cmω

= angular frequencyφ

= phase angleWhen the spring is at equilibrium position, the weight attached to the spring does not move. Hence, no force is acting on the weight at the equilibrium position. Therefore, the spring is neither stretched nor compressed at the equilibrium position.Now, the spring is set in motion resulting in a displacement of x

= 8 cos t

= Acos(ωt+ φ) where A

= 8 cm, ω

= 1 and φ

=0. The maximum displacement of the spring is 8 cm in the positive x direction. When the weight is at x

= 8 cm, the restoring force of the spring is maximum in the negative x direction and it pulls the weight towards the equilibrium position. At the equilibrium position, the weight momentarily stops. When the weight moves from x

= 8 cm to x

= -8 cm, the spring moves from its natural length to its maximum stretched position. At x

= -8 cm, the weight momentarily stops. When the weight moves from x

= -8 cm to x

= 8 cm, the spring moves from its maximum stretched position to its maximum compressed position.Hence, the spring oscillates between its maximum stretched and compressed positions when the weight is set in motion. Therefore, the spring is a simple harmonic oscillator.

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The displacement of the weight attached to the spring is given by the equation x = 8 cos t. The amplitude of the motion is 8 centimeters and the period is 2π seconds.

The equation x = 8 cos t represents the displacement of a weight attached to a spring in simple harmonic motion. In this equation, x is measured in centimeters and t is measured in seconds.

The amplitude of the motion is 8 centimeters, which means that the weight oscillates between x = 8 and x = -8.

The period of the motion can be determined from the equation T = 2π/ω, where ω is the angular frequency. In this case, ω = 1, so the period T is 2π seconds.

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Answer:  y = 5

using pythagoras theorem

Step-by-step explanation:

If y = 5  there is sufficient information to show that triangle ABC = triangle DEF using the Pythagoras theorem.

Answer:

are you really struggling well just go to sleep

Step-by-step explanation:

hahahahaha

Answer: 7x - 5

Step-by-step explanation:

The expression given in the question is:

= 6x - 5 + x

We have to collect like terms. This will be:

= 6x + x - 5

= 7x - 5

Answer:

x=4

Step-by-step explanation:

3(x-1)=9

3x-3=9

3x=9+3

3x=12

x=4

Answer:

x=4

Step-by-step explanation:

\(3(x - 1) = 9\)

\(x - 1 = 9 \div 3\)

\(x - 1 = 3\)

\(x = 3 + 1\)

\( x = 4\)