In Exploration 3.1.1 you found the area under the curve f(t)=1/t
between 1 and 3. What was the approximate area that you came
up with?
A. 1.3
B. .9
C. .7
D. 1.1

The distribution that the residuals in our model to follow is equals to the normal probability distribution. So, option(a).

Because residuals are defined as the difference between any data point and the regression line, they are sometimes called "errors". An error in this context does not mean that there is anything wrong with the analysis. In other words, the residual is the error that is not described by the regression line. The residue(s) can also be expressed by "e". The formula is written as, Residual = Observed value – predicted value or

\(e = y – \hat y \).

In order to draw valid conclusions from your regression, the regression residuals should follow a normal distribution. The residuals are simply the error terms or differences between the observed value of the dependent variable and the predicted value. Therefore, the residuals should have a normal distribution.

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Complete question:

we desire the residuals in our model to have which probability distribution? select answer from the options below

a) normal

b) binomial

c) poisson

Answer:

x=8, 5 is incorrect.

Step-by-step explanation:

2x8=16+13=29
4x8=32-3=29

Answer:

x=8

Step-by-step explanation:

The objective is to solve for x.

The objective is to get x = something

Remember if you do something to one side you have to do the same thing to the other side.

add three 2x +16 = 4x

subtract 2x    16 = 2x

divide by two    x = 8

remember to check 16+13 =29=32-3=29

Answer:

Look down!

Step-by-step explanation:

1. 1/4*1/4*1/4

2. 1/4*1/2*1/2*1/4

Answer:

A and D

Step-by-step explanation:

Hope I helped!

Answer:

Since there are an equal number of red and blue balls in each box, the probability of picking a red ball from box 2 is the same as picking a blue ball from box 1.

Therefore, the probability that the red ball came from box 2 given that the balls were different colors is 1/2.

Step-by-step explanation:

Answer:

I speak englush

Step-by-step explanation:

I speak English

Answer:

3,744 \(cm^{2}\)

Step-by-step explanation:

Front is a trapezoid

a = 1/2(\(base_{1}\) + \(base_{2}\))h

a = 1/2(29 +12)24

a = 492

the back is the same value 492

Bottom

29 x 30 = 870

Right sides

30 x 26 = 780

Left side

25 x 30 = 750

Top

12 x 30 = 360

492 + 492 + 870 + 780 + 750 + 360 = 3744\(cm^{2}\)

Impulse, change in momentum, final speed, and momentum are all related concepts in the context of Newton's laws of motion. Let's go through each option and explain their relationships:

(a) Impulse delivered: Impulse is defined as the change in momentum of an object and is equal to the force applied to the object multiplied by the time interval over which the force acts.

Mathematically, impulse (J) can be expressed as J = F  Δt, where F represents the net force applied and Δt represents the time interval. In this case, you mentioned that the net force acting on the crates is shown in the diagram. The impulse delivered to each crate would depend on the magnitude and direction of the net force acting on it.

(b) Change in momentum: Change in momentum (Δp) refers to the difference between the final momentum and initial momentum of an object. Mathematically, it can be expressed as Δp = p_final - p_initial. If the crates start from rest, the initial momentum would be zero, and the change in momentum would be equal to the final momentum. The change in momentum of each crate would be determined by the impulse delivered to it.

(c) Final speed: The final speed of an object is the magnitude of its velocity at the end of a given time interval.

It can be calculated by dividing the final momentum of the object by its mass. If the mass of the crates is provided, the final speed can be determined using the final momentum obtained in part (b).

(d) Momentum in 3 s: Momentum (p) is the product of an object's mass and velocity. In this case, the momentum in 3 seconds would be the product of the mass of the crate and its final speed obtained in part (c).

To rank these quantities from greatest to least for each crate, you would need to consider the specific values of the net force, mass, and any other relevant information provided in the diagram or problem statement.

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Answer:

B.

The 1/5 and 5 cancel each other out and you are left with 7

Hope this helps

Step-by-step explanation:

Answer: Multiply 11 by 90.

90x11=990

990 square feet.

Step-by-step explanation:

Answer:

HE = 6

x = 2

Step-by-step explanation:

You found the right answer for what x was so the next step is to solve for HE using the expression they gave:

HE = 3x

HE = 3(2)

HE = 6

Answer:

Following are the response to the given question:

Step-by-step explanation:

Move b a bit further if the angle between cd and ab changes when you move b if you want to make a perpendicular point to cd The angle BEC is 90 ° for making the AB line perpendicular to the line CD to transfer point B to the angle between the two lines.

Answer:

A) 42

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

It's A, it's less than 90 so it has of be acute

A. The probability that one selected subcomponent is longer than 122 cm can be found by calculating the area under the normal distribution curve to the right of 122 cm. We can use the z-score formula to standardize the value and then look up the corresponding probability in the standard normal distribution table.

z = (122 - μ) / σ = (122 - 100) / 5.6 = 3.93 (approx.)

Looking up the corresponding probability for a z-score of 3.93 in the standard normal distribution table, we find that it is approximately 0.9999. Therefore, the probability that one selected subcomponent is longer than 122 cm is approximately 0.9999 or 99.99%.

B. To find the probability that the mean length of three randomly selected subcomponents exceeds 122 cm, we need to consider the distribution of the sample mean. Since the sample size is 3 and the subcomponent lengths are normally distributed, the distribution of the sample mean will also be normal.

The mean of the sample mean will still be the same as the population mean, which is 100 cm. However, the standard deviation of the sample mean (also known as the standard error) will be the population standard deviation divided by the square root of the sample size.

Standard error = σ / √n = 5.6 / √3 ≈ 3.24 cm

Now we can calculate the z-score for a mean length of 122 cm:

z = (122 - μ) / standard error = (122 - 100) / 3.24 ≈ 6.79 (approx.)

Again, looking up the corresponding probability for a z-score of 6.79 in the standard normal distribution table, we find that it is extremely close to 1. Therefore, the probability that the mean length of three randomly selected subcomponents exceeds 122 cm is very close to 1 or 100%.

C. If we want to find the probability that all three randomly selected subcomponents have lengths exceeding 122 cm, we can use the probability from Part A and raise it to the power of the sample size since we need all three subcomponents to satisfy the condition.

Probability = (0.9999)^3 ≈ 0.9997

Therefore, the probability that if three subcomponents are randomly selected, all three of them have lengths that exceed 122 cm is approximately 0.9997 or 99.97%.

Based on the given information about the normal distribution of subcomponent lengths, we calculated the probabilities for different scenarios. We found that the probability of selecting a subcomponent longer than 122 cm is very high at 99.99%. Similarly, the probability of the mean length of three subcomponents exceeding 122 cm is also very high at 100%. Finally, the probability that all three randomly selected subcomponents have lengths exceeding 122 cm is approximately 99.97%. These probabilities provide insights into the performance of the automatic machine in terms of producing longer subcomponents.

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Answer:

22b - 15

Step-by-step explanation:

add the dependent variable together

Answer: 23b- 15

Explation:

The mass of the solid copper cuboid with dimensions length = 10cm, breadth = 5cm, and height = 3cm, is 1.479 kg.

A cuboid is a three-dimensional geometric shape that has six rectangular faces. It is also known as a rectangular parallelepiped. A cuboid has six rectangular faces, where opposite faces are congruent and parallel. The cuboid has eight vertices, twelve edges, and six rectangular faces.

To calculate the mass of a cuboid, you need to know its volume and density. The volume of a cuboid is the product of its length, width, and height. The density of a material is its mass per unit volume. Once you have these values, you can use the following formula to calculate the mass of the cuboid:

Mass = Density x Volume

where Mass is the mass of the cuboid, Density is the density of the material of which the cuboid is made, and Volume is the volume of the cuboid.

In the given question,

Using the given values, we can now calculate the mass of the solid copper cuboid in kg.

The volume of the copper cuboid is:

Volume = Length × Breadth × Height = 10 cm × 5 cm × 3 cm = 150 cm³

The mass of the copper cuboid can be calculated by multiplying its volume with its density. We are given that the density of copper is 9.86 g/cm³. Therefore, we have:

Mass = Volume × Density = 150 cm³ × 9.86 g/cm³ = 1479 g

To convert the mass in grams (g) to kilograms (kg), we need to divide the mass by 1000. Therefore:

Mass in kg = Mass in g / 1000 = 1479 g / 1000 = 1.479 kg

Therefore, the mass of the solid copper cuboid with dimensions length = 10cm, breadth = 5cm, and height = 3cm, is 1.479 kg.

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To find the equation for a line parallel to y = 2x + 1 and passing through the point (1,5), we need to remember that parallel lines have the same slope.

Since the slope of y = 2x + 1 is 2, the slope of the parallel line will also be 2.

Using the point-slope form of a linear equation, we can plug in the given slope and point to find the equation of the parallel line:

y - y1 = m(x - x1)

y - 5 = 2(x - 1)

Simplifying this equation gives us the equation for the parallel line:

y = 2x + 3

So, the equation for the line parallel to y = 2x + 1 and passing through the point (1,5) is y = 2x + 3.

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Answer:

The answer is D

Step-by-step explanation:

Please give me brainliest

Answer:

the x intercept is the y and x combined together crossing each other

Answer:

9.699 Rounded to the nearest hundredth is 9.70

Could also be written as 9.700

The Cookie Shop's profit at the end of January will be $12000.

The profit earned by the shop at the end of December = $15000

The profit decreased by 20% at the end of January

Therefore decrease percentage, which is used to determine the percentage decrease of two values ​​(final value and initial value)

\(Decrease percentage = \frac{Final value - Initial Value}{Final Value} * 100\)

According to the formula, the initial value is subtracted from the final value. The resulting value is divided by the initial value and multiplied by 100 to obtain the decreased percentage

Decrease Percentage  20%

Final value = $15000

\(20 = \frac{15000 - Initial Value}{15000} * 100\)

\(\frac{20}{100} = \frac{15000 - Initial Value}{15000}\)

\(\frac{20}{100} * 15000 ={15000 - Initial Value}\)

20 * 150 = 15000 - Initial Value

3000 = 15000 - Initial Value

Initial value = 15000 - 3000

Initial value = $12000

The profit earned by the Cookie Shop at the end of January will be $12000.

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Answer:

18-22 0.169

23-27 0,324

28-32 0,265

33-37 0,243

To solve equations with fractions and variables in the denominator, we need to eliminate it by moving it to the other side. To do this, we multiply both sides of the equation by the term in the denominator. This will cancel out the fraction and leave us with a simpler equation to solve.

For example, suppose we have the equation (3 + x) / x = 2. To get rid of the fraction, we multiply both sides by x. This gives us: x * (3 + x) / x = x * 2. The x in the numerator and denominator cancel out, leaving us with:

3 + x = 2x. Now we can solve for x by subtracting x from both sides: 3 = x

This is the solution of the equation.

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The population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

To determine whether the population proportion who participated in voting or the sample proportion from the survey is higher, we need to compare the percentages.

The population proportion who participated in voting is given as 63% of all registered voters.

This means that out of every 100 registered voters, 63 participated in voting.

In the survey of retired voters, 162 out of 275 participants voted. To calculate the sample proportion, we divide the number of retired voters who participated (162) by the total number of retired voters in the sample (275) and multiply by 100 to get a percentage.

Sample proportion = (162 / 275) \(\times\) 100 ≈ 58.91%, .

Comparing the population proportion (63%) with the sample proportion (58.91%), we can see that the population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

Therefore, based on the given data, the population proportion who participated in voting is higher than the sample proportion from this survey.

It's important to note that the sample proportion is an estimate based on the surveyed retired voters and may not perfectly represent the entire population of registered voters.

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Answer:

55

Step-by-step explanation:

So we have the expression:

\(6x-5\)

And we want to find the value when x is 10. So, substitute 10 for x:

\(=6(10)-5\)

Multiply:

\(=60-5\)

Subtract:

\(=55\)

And we're done!

The given differential equation is d²y/dx² - 8 (dy/dx) + 4y = xe^x.Method of undetermined coefficients:We guess the particular solution of the form yp = e^x(Ax + B).Here, A and B are constants.

To differentiate yp, we have:dy/dx = e^x(Ax + B) + Ae^xandd²y/dx² = e^x(Ax + B) + 2Ae^x.Substituting d²y/dx², dy/dx, and y in the given differential equation, we get:LHS = e^x(Ax + B) + 2Ae^x - 8 [e^x(Ax + B) + Ae^x] + 4[e^x(Ax + B)] = xe^x.Rearranging the above equation, we get:(A + 2A - 8A)x + (B - 8A) = x.

Collecting the coefficients of x and the constant term, we get:3A = 1and B - 8A = 0.On solving the above equations, we get:A = 1/3 and B = 8/3.Therefore, the particular solution of the given differential equation is:yp(x) = e^x(x/3 + 8/3).Hence, the solution is yp(x) = e^x(x/3 + 8/3).

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Answer:

It's B in my opinion

Step-by-step explanation:

I just looked at the coordinates of the original triangle and the realized that the new triangle must be the same but with the x values opposite

\(\frac{4x^{4}+27x^{3}+21x^{2}+22x+24}{x+6}\)

\(\frac{(x+1)(x+6)(4x^{2}−x+4)}{x+6}\)

\(4x^{3}+3x^{2}+3x+4\)

True. The HMAC-based one-time password algorithm uses a mathematical algorithm to generate a unique password for each login attempt.

This algorithm combines a secret key and a counter to produce a one-time password that is difficult to guess or duplicate. The algorithm is designed to be secure and reliable, providing an additional layer of protection for user accounts. By using a different password for each login attempt, the algorithm helps prevent attackers from gaining access to a user's account even if they manage to intercept the password. Overall, the HMAC-based one-time password algorithm is an effective way to enhance the security of online accounts and protect against unauthorized access.

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