(9-1) by the power of 2 divided by 4

The regression model (A) underestimates the data based on it since the residual is positive.

When modeling the relationship between a scalar answer and one or more explanatory variables in statistics, linear regression is a linear method.

Simple linear regression is used when there is only one explanatory variable, and multiple linear regression is used when there are numerous variables.

The statistical link between a dependent variable and one or more independent variables can be ascertained using regression.

The independent variable's change is connected to the independent variable's change.

Two major sorts can be broadly distinguished from this. A linear regression. Regression using logit.

A roadrunner's total length and tail length in the given situation is 59.0 cm and 31.1 cm, respectively.

Because the residual is positive, the regression model underestimates the data based on it.

Therefore, the regression model (A) underestimates the data based on it since the residual is positive.

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Correct question
A roadrunner is a desert bird that tends to run instead of fly. While running, the roadrunner uses its tail as a balance. A sample of 10 roadrunners was taken, and the birds’ total length, in centimeters (cm), and tail length, in cm, were recorded. The output shown in the table is from a least-squares regression to predict tail length given total length. Suppose a roadrunner has a total length of 59.0 cm and tail length of 31.1 cm. Based on the residual, does the regression model overestimate or underestimate the tail length of the roadrunner?

a. Underestimate, because the residual is positive.

b. Underestimate, because the residual is negative.

c. Overestimate, because the residual is positive.

d. Overestimate, because the residual is negative.

e. Neither, because the residual is 0.

Answer:

55

Step-by-step explanation:

149+16=165, 165/150=1.1, 1.1*100=110, 165-110=55

Answer:

55

Step-by-step explanation:

i used a calculator cause IK the equation but I couldn't get the right answer

We have 95% confidence in our interval, instead of 100%.because we need to account for the fact that a) the sample may not be truly random.

Strictly speaking, a 95% confidence interval means that if we were to take 100 different samples and calculate a 95% confidence interval for each sample, then approximately 95 of the 100 confidence intervals will contain the true mean (μ). In practice, however, we take one random sample and generate one confidence interval, which may or may not contain the true mean. The observed interval may overestimate or underestimate μ. Consequently, the 95% CI is the likely range of the true, unknown parameter. A confidence interval does not reflect the variability in the unknown parameter. Rather, it reflects the amount of random error in the sample and provides a range of values ​​that are likely to include the unknown parameter. Another way of thinking about a confidence interval is that it is a range of possible values ​​of a parameter (defined as a point estimate + margin of error) with a specified confidence level (which is similar to a probability).

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The engineer should take a sample size of approximately 40 to be 95% confident of being in error by only 0.125 minutes.

To calculate the sample size for estimating the cycle time, the engineer can use the formula for continuous data:

E = (zα/2) * (σ / √n)

where:
E is the maximum allowable error (0.125 minutes),
zα/2 is the z-value for a 95% confidence level (which corresponds to a 0.025 alpha level),
σ is the standard deviation (0.4 minutes), and
n is the sample size (unknown).

Rearranging the formula, we have:

n = (zα/2)^2 * (σ^2 / E^2)

Plugging in the given values, we get:

n = (1.96)^2 * (0.4^2 / 0.125^2)

Simplifying the equation, we have:

n ≈ 3.8416 * (0.16 / 0.015625)

n ≈ 3.8416 * 10.24

n ≈ 39.494

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Answer:

- 8x + 3

Step-by-step explanation:

(f + g)(x)

= f(x) + g(x)

= - 5x + 3 + (- 3x)

= - 5x + 3 - 3x ← collect like terms

= - 8x + 3

Answer:

A. 22

b. Yes. Because there are 23 woman and they are all under 18 and there are 22 males. In which we don't know if they are underage, but it doesn't really matter because there is one more girl in the room than boys. And all woman are underage so there for there are more underage students in the room.

Step-by-step explanation:

Hope this helps :)

Pls make brainliest :p

And have an amazing day <3

Answer:

there would be 21.6 males. That doesn't work, so you'd have 21 or 22(probably 22)

yes, most of the students are minors. 52% percent at least are under 18 years. 52% is more than half, so that would make it so most are minors.

Step-by-step explanation:

Answer:

1/2 this is the correct answer to the question

Answer:

i think the answer is A or D i think

The probability of drawing a face card or a 5 is 4/13. Option a is correct.

A card is drawn at random from a well-shuffled deck of 52 cards. To find the probability of drawing a face card or a 5, we need to count the number of cards in a deck that are face cards or 5s and divide that by the total number of cards in a deck.

There are 16 such cards (12 face cards and 4 5s) in a deck and 52 total cards. So the probability of drawing a face card or a 5 is:

16/52 which can be simplified to 4/13.

The probability is 4/13. Option a is correct.

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The estimated value of the home (in thousands of dollars) is 340.

Let X be the estimated value of the home (in thousands of dollars).

Then, the estimated value of the home can be given as:

X = 50 + 30B + 20T

where B is the number of bedrooms and T is the age of the home in years.

Substituting the given values for B, T, and the constant we have:

X = 50 + 30(3) + 20(10)

  = 50 + 90 + 200

  = 340

Thus, the estimated value of the home (in thousands of dollars) is $340, which is the final answer.

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Answer: the pic is the answer and

Step-by-step explanation:I explaned on the pic HOPE THIS HELPS WITH UR QUESTION

The correct answer is (a) m < 0.Since line l contains points in quadrants I, II, and IV, but not in quadrant III, we can deduce the following.

Quadrant I: In this quadrant, both x and y coordinates are positive. For a line in quadrant I, the slope (m) must be positive. Quadrant II: In this quadrant, x coordinates are negative, and y coordinates are positive. For a line in quadrant II, the slope (m) must be positive. Quadrant IV: In this quadrant, x coordinates are positive, and y coordinates are negative. For a line in quadrant IV, the slope (m) must be negative.

Based on the observations in all the relevant quadrants, we can conclude that the slope (m) must be both positive and negative, indicating that it can take on both positive and negative values. Therefore, the correct answer is (a) m < 0.

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a. The answer is f[g(x)] = 4x^2.

b.  The answer is g[f(x)] = 4x^2.

(a) To find f[g(x)], we first need to compute g(x), which is 4x^2:

g(x) = 4x^2

Now we can substitute g(x) into f(x), giving us:

f[g(x)] = f[4x^2]

And since f(x) = x, we can substitute x with 4x^2 to obtain:

f[g(x)] = 4x^2

Therefore, the answer is f[g(x)] = 4x^2.

(b) To find g[f(x)], we first need to compute f(x), which is simply x. Now we can substitute f(x) into g(x), giving us:

g[f(x)] = g[x]

And since g(x) = 4x^2, we can substitute x with x to obtain:

g[f(x)] = 4x^2

Therefore, the answer is g[f(x)] = 4x^2.

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Answer: The inequality given is:

250(1.12)^s > 3750

We want to solve for s, the number of years until the number of mice exceeds 3750. We can begin by dividing both sides of the inequality by 250:

(1.12)^s > 15

Next, we can take the logarithm of both sides of the inequality with base 1.12:

log₁.₁₂ [(1.12)^s] > log₁.₁₂ (15)

s > log₁.₁₂ (15)

Using a calculator, we can evaluate the right-hand side to be approximately 6.27. Therefore:

s > 6.27

Since s must be a whole number, we can round up to the nearest integer to get:

s = 7

Therefore, in 7 years the number of mice will exceed 3750.

Answer:

3:25 = 15:125

15:125 is directly proportional to 3:25.

Step-by-step explanation:

To find the displacement and total distance traveled by the object from t=0 to t=6, we need to integrate the velocity function over the given time interval.

The displacement can be found by integrating the velocity function v(t) with respect to t over the interval [0, 6]. The integral of v(t) represents the net change in position of the object during this time interval.

The total distance traveled can be determined by considering the absolute value of the velocity function over the interval [0, 6]. This accounts for both the forward and backward movements of the object.

Now, let's calculate the displacement and total distance traveled using the given velocity function v(t) = t^2 - (1/t) - 12 over the interval [0, 6].

To find the displacement, we integrate the velocity function as follows:

Displacement = ∫[0,6] (t^2 - (1/t) - 12) dt.

To find the total distance traveled, we integrate the absolute value of the velocity function as follows:

Total distance = ∫[0,6] |t^2 - (1/t) - 12| dt.

By evaluating these integrals, we can determine the displacement and total distance traveled by the object from t=0 to t=6.

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a) For all 1 ≤ i ≤ 8, x₁ ≥ 3

To solve the equation: x1+x2+...+x8=51;

Firstly, the minimum value of x1 is 3, because x₁ ≥ 3 for all 1 ≤ i ≤ 8.

To calculate the number of solutions, the "ball and urn" method will be used.

By this method, the number of balls (51) is to be divided among the eight urns (x1,x2,....,x8) using (n-1) separators (denoted by "|") which would make it a total of 51 + (8-1) = 58.

Therefore, we need to choose (8-1) = 7 separator positions out of the 58 positions.

This is denoted by: C(7, 58) = (58!)/(7!51!) = 58*57*56*55*54*53*52/(7*6*5*4*3*2*1) = 29,142,257

Therefore, the number of solutions is 29,142,257.

b) For all 1 ≤ i ≤ 8, x₁ ≤ 21

For calculating the number of solutions,

we need to find x1 in the range (1, 21) and remaining solutions will follow from the previous answer.

To calculate the number of solutions, we will use the "ball and urn" method as before. This time the maximum value of x1 is 21.

Therefore, 30 balls are left, which have to be distributed into 8 urns (x2,x3,....,x8) using 7 separators "|". Therefore, the answer will be:

C(7, 30) = (30!)/(7!23!) = 30*29*28*27*26*25*24/(7*6*5*4*3*2*1) = 1,404,450

Therefore, the number of solutions is 29,142,257 * 1,404,450 = 40,891,376,703,350

c) x₁ ≥ 12, and x₁ ≡ i(mod 5) for all 1 ≤ i ≤ 8

To calculate the number of solutions, we will use the "ball and urn" method as before.

Since x1≥12 and x1≡i(mod 5), for all 1≤i≤8, this means that x1 can take values {12, 17, 22}.

Therefore, there are three possible values for x1. To get the number of solutions, we have to solve the following three cases independently:

Case 1: x1=12. Therefore, we need to distribute 39 balls into eight urns using seven separators. Therefore, the answer is:

C(7, 39) = (39!)/(7!32!) = 39*38*37*36*35*34*33/(7*6*5*4*3*2*1) = 1,617,735

Case 2: x1=17. Therefore, we need to distribute 34 balls into eight urns using seven separators. Therefore, the answer is:

C(7, 34) = (34!)/(7!27!) = 34*33*32*31*30*29*28/(7*6*5*4*3*2*1) = 2,424,180

Case 3: x1=22. Therefore, we need to distribute 29 balls into eight urns using seven separators. Therefore, the answer is:

C(7, 29) = (29!)/(7!22!) = 29*28*27*26*25*24*23/(7*6*5*4*3*2*1) = 4,383,150

Therefore, the total number of solutions will be the sum of all the above cases, which is:

1,617,735 + 2,424,180 + 4,383,150 = 8,425,065

Therefore, the number of solutions is 8,425,065.

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Answer:

$0.56, or 56¢.

Step-by-step explanation:

According to the picture, there are two dimes, two nickels, a penny, and a quarter.

A penny is worth $0.01.

A nickel is worth $0.05.

A dime is worth $0.10.

A quarter is worth $0.25.

2(0.1) + 2(0.05) + (0.01) + (0.25) = 0.2 + 0.1 + 0.01 + 0.25 = 0.3 + 0.26 = 0.56.

So, Vivian is using $0.56, or 56¢, to buy a toy. That's a cheap one!

Hope this helps!

Answer:

(B)25

Step-by-step explanation:

From the given diagram:

\(\angle ACE$ and \angle ECB\) are on a straight line, and we know by the Linear Postulate that the sum of angles on a straight line is 180 degrees.

Therefore:

\(\angle ACE$ + \angle ECB=180^\circ$ (Linear Postulate)\\(2x+2)^\circ+(5x+3)^\circ=180^\circ\\$Collect like terms\\2x+5x+2+3=180\\7x+5=180\\$Subtract 5 from both sides\\7x+5-5=180-5\\7x=175\\$Divide both sides by 7\\7x\div 7=175\div 7\\x=25^\circ\)

The correct option is B.

Answer:

b. 25 :)      is the answer your looking for edge2020                  

60 positive integers of 3 digits may be made from the digit 1,2,3,4 and 5 if the digits are not repeated.

According to the question,

We have the following information:

3 digits integers are to be made from 1,2,3,4 and 5

So, we will use permutation to find the possible number of digits that can be made if we apply all the given conditions.

Now, we have:

Total number of digits = 5

Number of digits to be made = 3

So, we have:

\(^{5} P_{3}\)

Solving this expression:

5*4*3

60

Hence, 60 positive integers of 3 digits may be made from the digit 1,2,3,4 and 5 if the digits are not repeated.

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Answer:

\(3 \times \frac{1}{3 } + \frac{1}{2} \times - 12( \frac{1}{3} ) = \frac{1}{3} \)

Answer:

D. scalene triangle

Step-by-step explanation:

This triangle has sides that all have different lengths. Therefore, this triangle is a scalene triangle.

Tips:

Isosceles triangle - two sides have equal lengths

Equilateral triangle - all three sides have equal lengths

I hope this helped! :)

1. The 100 prisoner experiment: 100 prisoners are about to be executed (you can use paper stick figures to model 100 prisoners, or you can do about 10), but the warden has agreed to allow all prisoners to be commuted to a 6-month sentence if they can pass one game. The game states that 100 pieces of paper with each of the prisoner's numbers are to be randomly shuffled into boxes that have random prisoner's numbers (where the number on the paper does not match the number on the boxes.) Each prisoner is allowed to open 50 boxes to find their number such that they have a \(\frac{1}{2}\) chance of finding their number. If you find your number, you are cleared to another room to wait. If you don't, then you've messed up huge. If even one prisoner does not find their number, all the prisoners die. If all of the prisoners find their numbers, they all get 6-month sentences instead. The chance of all the prisoners randomly finding their numbers is \((\frac{1}{2})^{100}\), which is about a 0.0000000000000000000000000000008% chance. 30 zeros after the decimal placement. For reference, two people have a better chance of picking up the same grain of sand from any of the beaches in the world than finding their numbers randomly.

The Vickrey Auction can be modeled into an experiment by testing people's psychological thinking. You can do this with any of your friends. In a Vickrey auction, you put your bids into a closed letter. For an item, the highest bidder wins the auction, but does not pay what he or she put their bid under in the auction, but rather pays what the second bidder had bidded. It teaches people to be more honest, because if you bid the highest and win, you pay the second-highest bidder's payment, which could also be almost equally as high and could cost you a fortune for an undervalued item.

Another great experiment you can do is to measure the different unsynchronizations of analog clocks that are not close together. Scientists have measured atomic clocks that are just a millimeter apart that start ticking in different measures.

2. I select the 100-prisoner experiment.

3. A curved graph like -x^2 would fit perfectly.

4. A quadratic function would fit my experiment the best. The best graph to use would be \(y = -x^2\). An equation with a large curve would be the best for this type of experiment to graph success and failure. More than three quarters of my graph wouls be full of failure and maybe a little more than 10% would be full of success if repeated over 100,000 times. I am not too sure though.

The given two planes 2x + 4y + 3z = 5 and x + 8y + 10z = 3 are perpendicular to each other.

According to the given question.

We have two planes

2x - 4y + 3z = 5

and,

x + 8y + 10z = 3

Since, two planes are perpenicular if

\(a_{1} a_{2} + b_{1} b_{2} + c_{1} c_{2} = 0\)

Where \(a_{1}\), \(b_{1}\) and \(c_{1}\) and \(a_{2}\), \(b_{2}\) and \(c_{2}\) are the direction ratios of planes.

And the two planes are parallel to each other if

\(\frac{a_{1} }{a_{2} } =\frac{b_{1} }{b_{2} } = \frac{c_{1} }{c_{2} }\)

Here, the direction ratios of plane 2x + 4y + 3z = 5 are 2, -4, and 3  and the direction ratios of plane x + 8y + 10z = 3 are 1, 8, and 10

Now,

2(1) + (-4)(8) + 3(10)

= 2 - 32 + 30

= 0

Since, the sum of the product of the direction ratios of  the two palnes is 0. Therefore, the given two planes 2x + 4y + 3z = 5 and x + 8y + 10z = 3 are perpendicular to each other.

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To use the Laplace transformation to solve the following differential equation, we will first apply the transformation to the problem and its initial conditions. F(s) denotes the Laplace transform of a function f(x) and is defined as: \(Lf(x) = F(s) = [0,] f(x)e(-sx)dx\)

When the Laplace transformation is applied to the given differential equation, we get:

\(Ld2y/dx2/dx2 + Ly = 0\) .

If we take the Laplace transform of each term, we get: \(s^2Y(s) = 0 - sy(0) - y'(0) + Y(s)\).

Dividing both sides by \((s^2 + 1),\), we obtain:

\(Y(s) = (s + 2) / (s^2 + 1)\).

Now, we can use the partial fraction decomposition to express Y(s) in terms of simpler fractions:

Y(s) = (s + 2) / (\(s^{2}\)+ 1) = A/(s - i) + B/(s + i) .

Multiplying through by (\(s^{2}\) + 1), we have:

s + 2 = A(s + i) + B(s - i).

Expanding and collecting like terms, we get:

s + 2 = (A + B)s + (Ai - Bi).

Comparing the coefficients of s on both sides, we have:

1 = A + B and 2 = Ai - Bi.

From the first equation, we can solve for B in terms of A:B = 1 - A Substituting B into the second equation, we have:

2 = Ai - (1 - A)i

2 = Ai - i + Ai

2 = 2Ai - i

From this equation, we can see that A = 1/2 and B = 1/2. Substituting the values of A and B back into the partial fraction decomposition, we have:

Y(s) = (1/2)/(s - i) + (1/2)/(s + i). Now, we can take the inverse Laplace transform of Y(s) to obtain the solution y(x) in the time domain. The inverse Laplace transform of 1/(s - i) is \(e^(ix).\)

As a result, the following is the solution to the given differential equation:\((1/2)e^(ix) + (1/2)e^(-ix) = y(x).\)

Simplifying even further, we get: y(x) = sin(x)

As a result, given the initial conditions dy(0)/dx = 2 and y(0) = 1, the solution to the above differential equation is y(x) = cos(x).

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Answer:

hope this helps!

\(x = 5.5\)

Answer: no 3 is grade then -6 as 3 is positive number and 6 is negative number so positive is greater then negative number.

Step-by-step explanation:

In order to indicate if a number is greater than or less than another, we use the symbols > and <. For example, 10 is greater than 3, so we write it 10 > 3.

A confidence interval cannot instantly lead to rejecting the null hypothesis in a hypothesis test. In the given case the null hypothesis is either rejected or rejected based on test statistics.

α = 0.05

μ = 2

If the confidence interval is 1.0 or 2.0, then the null hypothesis value of 2 drops exceeds the interval, this makes the data contradict the null hypothesis and may reject the null hypothesis.

This alone would not be good to decline the null theory - the conclusion to reject or not reject the null hypothesis is determined by the test statistic and the alternate p-value.

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Answer:

4/6

Step-by-step explanation:

If she spend four times 1/6 of an hour that's 4/6.