Can anyone help? Due tonight!

Can Anyone Help? Due Tonight!

Answers

Answer 1
The quadratic equation layout is ax^2 + bx + c.

So if you rearrange accordingly, its -3x^2+x-6!

(I’m so sorry if i’m wrong!!!!)
Answer 2

Answer:

3x^2 + x - 6 = 0

Step-by-step explanation:

x - 6 = -3x^2

step 1: add 3x^2 to both sides

x - 6 + 3x^2 = 0

step 2: put the terms in order from greatest degree (exponent) to least.

3x^2 + x - 6 = 0

done! :)


Related Questions

Explanation of how we can make (a) subject

Explanation of how we can make (a) subject

Answers

Answer:

Step-by-step explanation:

Explanation of how we can make (a) subject

you want to rearrange the furniture in your room. you use a coordinate plane to plan your changes. the vertices of the dresser are given below. Give the coordinates of the dresser after rotating the dresser 180* about the origin, translating 2 units left and 3 units up.

A(-1,-1), B(2,-1), C(2,1), D(-1,1) HELP ASAP!!! I NEED IT RIGHT NOW PLEASE ANYONE!!!

Answers

The coordinates of the dresser

i.e A(-1,-1), B(2,-1), C(2,1), D(-1,1)

after rotating the dresser 180 degrees about the origin, translating 2 units left and 3 units up becomes

A(3, 2), B(0, 2), C(0,0), D(3, 0)

What is translation?

It is the movement of the shape in the left, right, up, and down directions.

The translated shape will have the same shape and shape.

There is a positive value when translated to the right and up.

There is a negative value when translated to the left and down.

We have,

The coordinates of the vertices of the dresser.

A(-1,-1), B(2,-1), C(2,1), D(-1,1).

Now,

Rotating 180 degrees the coordinates become,

A(2, 1), B(-1, 1), C(-1, -1), D(2, -1)

Translating 2 units left.

The coordinates become:

A(2-2, 1-2), B(-1-2, 1-2), C(-1-2, -1-2), D(2-2, -1-2)

A(0, -1), B(-3, -1), C(-3, -3), D(0, -3)

Translating 3 units up.

The coordinates become:

A(0+3, -1+3), B(-3+3, -1+3), C(-3+3, -3+3), D(0+3, -3+3)

A(3, 2), B(0, 2), C(0,0), D(3, 0)

Thus,

The coordinates of the dresser

i.e A(-1,-1), B(2,-1), C(2,1), D(-1,1)

after rotating the dresser 180 degrees about the origin, translating 2 units left and 3 units up becomes

A(3, 2), B(0, 2), C(0,0), D(3, 0)

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Which expression can be simplified as StartFraction 1 Over n Superscript 18 Baseline EndFraction? (n squared) Superscript 9 (n Superscript negative 9 Baseline) Superscript negative 2 (n Superscript negative 6 Baseline) Superscript negative 3 (n Superscript negative 3) Superscript 6

Answers

The expression (n²)⁹ (n⁻⁹)⁻² (n⁻⁶)⁻³ (n⁻³)⁶ can be simplified as 1/n¹⁸.

To simplify the given expression, let's work on each factor separately:

\((n^2)^9:\) When we raise a power to another power, we multiply the exponents.

Therefore,\((n^2)^9\) simplifies to \(n^{(2 \times 9)} = n^{18\)

\((n^{(-9)})^{-2}:\) When we raise a negative exponent to another power, it becomes positive.

Therefore,\((n^{(-9)})^{-2}\) simplifies to \(n^{(9 \times {-2})} = n^{(-18)}.\)

\((n^{(-6)})^{-3}:\) Similar to the previous step, when we raise a negative exponent to another power, it becomes positive.

Thus, \((n^{(-6)})^{-3}\) simplifies to \(n^{(6 \times -3) }= n^{(-18)}.\)

\((n^{(-3)})^6:\) Once again, we raise a negative exponent to another power, making it positive.

Therefore,\((n^{(-3)})^6\)  simplifies to \(n^{(3 \times 6)}= n^{18}.\)

Now, let's combine all the simplified factors:

\((n^2)^9 \times (n^{(-9)})^-2 \times (n^{(-6)})^-3 \times (n^{(-3)})^6\)

\(= n^{18} \times n^{18} \times n^{18}\times n^{18}\)

When we multiply variables with the same base, we add the exponents. Therefore, the expression simplifies to:

\(n^{(18 + 18 + 18 + 18) }= n^{72\)

So, the given expression simplifies to \(n^{72}.\)

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Solve for y
*show your work*

1. 3x + y = 5

2. Y + x = -4

3. 4x + 4y = -36

4. 6x + 2y = 22

5. 3y = 6x = 15

Answers

Answer:

1. Y= 5-3x

2. Y= -4-x

3. Y= -9-x

4. Y= 11-3x

5. Y=2x=5

Last month you spent ​$40 on clothing. This month you spent ​120% of what you spent last month. Set up a proportion to model this situation. How much did you spend this​ month?

Answers

Answer:

$48

Step-by-step explanation:

Given that:

Money spent on clothing last month = $40

Money spent this month is 120% of the spending of the last month.

To find:

A proportion to model this situation.

And the spending done this month?

Solution:

Let us have a look at 120% first.

\(120\%= \dfrac{120}{100} = \dfrac{6}{5}\)

\(\frac{6}{5}\) of \(x\) can be found by comparing \(x\) with 5, then we have to find the equivalent of 6.

Here, \(x\) is 40.

5 parts are equivalent to 40

1 part is equivalent to \(\frac{40}{5} = 8\)

6 parts are equivalent to \(8\times 6 = 48\)

OR

simply:

\(40 \times \dfrac{120}{100} = 48\)

Brainliest to whoever answers first!!!Z'(5, -7) is the image of Z after a reflection
in the line y=x. What are the coordinates
of Z?

Answers

Answer:

I think its Z (-5, 7)

Step-by-step explanation:

Here :)

The coordinates of Z is (7, -5).

Given that, Z'(5, -7) is the image of Z after a reflection in the line y=x.

We need to find the coordinates of Z.

What is the reflection in the line y=x?

When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed). the line y = x is the point (y, x). the line y = -x is the point (-y, -x).

So, the coordinates of Z become (7, -5).

Therefore, the coordinates of Z is (7, -5).

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When solving an equation, Kyle's work showed
4x+3=11 followed by 4x=8. What property
justifies the step in kyle's work? What is the
next step in solving the equation and what
property is used?

Answers

Answer:

subtract 3 from both sides... what you do on one side you must do on the other. 3 -3 cancels each other out and 11-3=8 giving you 4x=8

You may need to use the appropriate appendix table to answer this question. Suppose that the mean daily viewing time of television is 8.35 hours. Use a normal probability distribution with a standard deviation of 2.5 hours to answer the following questions about daily television viewing per household (a) What is the probability that a household views television between 5 and 11 hours a day? (Round your answer to four decimal places.) Incorrect: Your answer is incorrect. (b) How many hours of television viewing must a household have in order to be in the top 3% of all television viewing households? (Round your answer to two decimal places.) Incorrect: Your answer is incorrect. hrs (c) What is the probability that a household views television more than 3 hours a day? (Round your answer to four decimal places.)

Answers

The probability of household views between 5 and 11 hours will be 0.7653. Number of hours needed in order to be in top 3% will be 13.03 hours. Probability of views more than 3 hours will be 0.9838.

a) The probability of television views between than 5 and 11 hours.

 P( 5≤X≤11) = P[ (5-μ)/σ ≤ (X-μ)/σ ≤ (11-μ)/σ]

                   = P [ (5-8.35)/2.5 ≤ z ≤ (11-8.35)/2.5)

                    = P ( -1.34 ≤ z ≤ 1.06)

                    = P ( z≤ 1.06) - P(z ≤ -1.34)

Substituting values from the z-table

   P ( 5≤X≤11) = 0.85543 - 0.09012 = 0.76531

Probability that household views between 5 and 11 hours is  0.7653.

b) Hours needed to be in top 3% of all households.

 P( X> h) = 0.03

 P[ (X-μ)/σ > (h-μ)/σ] = 0.03

P ( z >h-8.35/2.5) = 0.03

P ( z ≤ h-8.35/2.5) = 0.97

From the table

  (h - 8.35)/ 2.5 = 1.87

   h = (1.87× 2.5) + 8.35

      = 13.025 = 13.03 hours

So if the viewing time is more than 13.03, the household will be in the top 3%.

c) Probability of viewing more than 3 hours

 P(X> 3) = P[ (X-μ)/σ > (3-μ)/σ]

               = P( z < -2.14) = 0.9838

So probability the household will have views more than 3 hours will be 0.9838.

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1. A movie theater sells tickets for $9.00 each. Senior citizens receive a discount of $3.00. One evening the theater
sold 636 tickets and took in $4974 in revenue. How many tickets were sold to senior citizens?

Answers

Answer:

250

Step-by-step explanation:

x is adult tix, y is senior tix

9x + 6y = $4974

x+y= 636

x=636-y

9(636-y) +6y = 4974

5724 - 9y + 6y = 4974

-3y = 4974-5724

-3y=-750

y=250

Find the generating function of the sequence {an}n≥0 determined by an = an−1 + 6an−1 with initial conditions a0 = 1, a1 = 3. You need to find the closed form of the generating function, but you don’t need find the closed form of the coefficients.

Answers

The generating function for the sequence {an} is given by a(x) = (1 + 2x) / (1 - x - 6x^2). It captures the terms of the sequence {an} as coefficients of the powers of x.

To find the generating function of the sequence {an}, we can use the properties of generating functions and solve the given recurrence relation.

The given recurrence relation is: an = an-1 + 6an-2

We are also given the initial conditions: a0 = 1 and a1 = 3.

To find the generating function, we define the generating function A(x) as:

a(x) = a0 + a1x + a2x² + a3x³ + ...

Multiplying the recurrence relation by x^n and summing over all values of n, we get:

∑(an × xⁿ) = ∑(an-1 × xⁿ) + 6∑(an-2 × xⁿ)

Now, let's express each summation in terms of the generating function a(x):

a(x) - a0 - a1x = x(A(x) - a0) + 6x²ᵃ⁽ˣ⁾

Simplifying and rearranging the terms, we have:

a(x)(1 - x - 6x²) = a0 + (a1 - a0)x

Using the given initial conditions, we have:

a(x)(1 - x - 6x²) = 1 + 2x

Now, we can solve for A(x) by dividing both sides by (1 - x - 6x^2²):

a(x) = (1 + 2x) / (1 - x - 6x²)

Therefore, the generating function for the given sequence is a(x) = (1 + 2x) / (1 - x - 6x²).

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Six times a number is equal to 16 more than 4 times the number. Find the number.

Answers

Answer:

8

Step-by-step explanation:

Let the number be n

6*n = 16 + 4*n

6n = 16 + 4n

6n - 4n = 16

2n = 16

2n/2 = 16/2

n = 8

3.13 what substitution system results when we use a 1 * 25 playfair matrix?

Answers

A 1x25 Playfair matrix results in a substitution system called the "Playfair Cipher."

This cipher is a digraph substitution cipher, where pairs of letters are encrypted using a 5x5 matrix created from a keyword. The matrix is filled with unique letters of the alphabet, and "I" and "J" are typically combined into one slot. The Playfair Cipher encrypts pairs of letters by following specific rules: if the letters are in the same row or column, they're replaced by the letters to their immediate right or below, and if they form a rectangle, they're replaced by the letters on the same row but in the opposite corners. This cipher provides a more secure encryption compared to simple substitution ciphers, as it encrypts pairs of letters instead of single characters.

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If 9i is a root of the polynomial function f(x), which of the following must also be a root of f(x)?
–9i

Answers

If 9i is a root of the polynomial function f(x), then -9i is also a root of the polynomial function.

Given a polynomial function f(x).

Let 9i be the root of the function.

If 9i is the root of a function, then there will be square root of -1.

So the possible root for the given function is -9i.

So -9i is also a root of the given polynomial function.

Hence the correct option is A.

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The complete question is given below.

If 9i is a root of the polynomial function f(x), which of the following must also be a root of f(x)?

A. –9i

B. -1/9i

C. 1/9i

D. 9 – i

Answer:

It's A -9i

Step-by-step explanation:

why is 0/0 unsolved i dont understand if you give good answer you get brainliest

Answers

any number multiplied by 0 is 0. a single value cant be assigned to a fraction where the denominator is 0 so the value remains undefined.

Answer:

Since the definition x0 = 1 is based upon division, and division by 0 is not possible, we have stated that x is not equal to 0. Actually, the expression 00 (0 to the zero power) is one of several indeterminate expressions in mathematics. It is not possible to assign a value to an indeterminate expression.Thus making it unsolved

Step-by-step explanation:

Find the range of the function ​

Find the range of the function

Answers

Answer:

It would be A

Step-by-step explanation:

Write the multiplication table for Z3[x]/(x^2-x)

Answers

The elements of Z3[x]/(x^2 - x) are of the form ax + b that is multiplication table, where a and b are elements of Z3.

The multiplication table is:

  | 0   1   x   1+x   2   2+x

-------------------------------

0 | 0   0   0    0   0   0

1 | 0   1   x   1+x  2  2+x

x | 0   x  2x  2+x   x  1+2x

1+x| 0  1+x 2+x   2  2+x  x

2 | 0   2   x   2+x  1  1+x

2+x| 0  2+x 1+2x  x  1+x 2

Note that in this table, we use the fact that x^2 - x = 0, which implies that x^2 = x.

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Find the cumulative distribution function for the probability density function \( f(x)=\frac{x^{2}}{63} \) on the interval \( [3,6] \) \( F(x)= \) (Type an expression using \( x \) as the variable) Wh

Answers

Cumulative distribution function (CDF) is an important concept in probability theory. The cumulative distribution function for the probability density function is the cumulative sum of probabilities. To find the cumulative distribution function for the probability density function \( f(x)=\frac{x^{2}}{63} \) on the interval \( [3,6] \).

we need to integrate this probability density function, we can integrate it as follows

\(:$$F(x)=\int_{-\infty}^{x} f(x) dx$$\)

Given the probability density function is

\(\( f(x)=\frac{x^{2}}{63} \) on the interval \( [3,6] \),\)

thus we can integrate it as follows:

$$F(x)=\int_{-\infty}^{x} \frac{x^{2}}{63}dx$$

Taking the integral of this probability density function, we get:

\($$F(x)=\frac{1}{63} \int_{3}^{x} x^{2} dx$$$$F(x)=\frac{1}{63} \left[\frac{x^{3}}{3} - \frac{3^{3}}{3}\right]$$$$F(x)=\frac{x^{3} - 27}{189}$$\)

The cumulative distribution function for the probability density function

\(\( f(x)=\frac{x^{2}}{63} \) on the interval \( [3,6] \) is given as \( F(x)=\frac{x^{3} - 27}{189} \)\)

when the limits of integration are from 3 to 6 inclusive.

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11/22 - 3/16 x 8/18 + 1/18
tính cách hợp lí

Answers

Answer:

Simplified expression:

17/36

in decimal form:

0.472

Is this what you need??

​If the perimeter of a garden is 32 feet and the length is 10 feet, what is the width?

Answers

Answer:

11 feet wide

Step-by-step explanation:

the width would be 6 because the length is 10 already and that’s for both sides so that’s already 20 and you need 12 more to get 32 so 12/2 (because 2 sides) is 6.

moral of the story the answer is 6! this might be confusing i’m sorry but i hope it helps

how do these histograms demonstrate what the central limit theorem says about the sampling distribution model for sample means.

Answers

The histograms demonstrate that as sample size increases, the distribution of sample means becomes more normal, which is in line with the central limit theorem.

Histograms can be used to graphically represent a probability distribution, which is a measure of how likely it is that a random variable will take on a particular value.

The central limit theorem states that as the sample size increases, the sampling distribution of the mean approaches a normal distribution, regardless of the shape of the population distribution.

The histograms demonstrate this by showing the distribution of sample means for different sample sizes. As the sample size increases, the shape of the histogram becomes more normal, with a narrower and taller distribution.

Therefore, this demonstrates that the central limit theorem holds true, as the distribution of sample means becomes more normal as sample size increases, regardless of the shape of the population distribution.

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Daniela se comió 2/4 de un chocolate y su amiga Fátima se comió 1/5. ¿Qué porción comieron entre las dos? ​

Answers

Answer:

Daniela y Fátima se comieron 7/10 de chocolate entre las dos.

Step-by-step explanation:

\( \frac{2}{4} + \frac{1}{5} \\ \frac{10}{20} + \frac{4}{20} \\ \frac{7}{10} \: \: \: o \: \: \: 0.7\)

what is the number name of (i)46,25,689and (ii)658,902,250​

Answers

Answer:

forty six hundred thousand tweny five thound and six hundred eighty nine

six hundred and fifty eight hundred nine thoundsand two and two hundred and fifty

Step-by-step explanation:

Chris and Mary who live 14 miles apart start at noon to walk toward each other at rates of 3 mph and 4 mph respectively. After how many hours will they meet

Answers

Chris and Mary, who live 14 miles apart, will meet after apart, will meet after a certain number of hours. Chris walks at a rate of 3 mph, and Mary walks at a rate of 4 mph.

To determine the number of hours it takes for Chris and Mary to meet, we can use the concept of relative speed. The relative speed is the sum of their individual speeds, which is 3 mph + 4 mph = 7 mph.

Since they are walking towards each other, their combined speed of 7 mph represents the rate at which the distance between them is decreasing. The distance between them is initially 14 miles. We can use the formula: time = distance / speed to find the number of hours it takes for them to meet.

Applying the formula, time = 14 miles / 7 mph = 2 hours. Therefore, Chris and Mary will meet after 2 hours of walking.

The concept of relative speed helps us determine how the distance between two objects changes over time when they are moving towards each other.

By considering their individual speeds and using the formula for time, we can calculate the time it takes for Chris and Mary to meet. In this case, their combined speed of 7 mph allows them to cover the initial distance of 14 miles in 2 hours, resulting in their meeting point

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Solve the system of equations using elimination: -x+y=-10−x+y=−10 and 3x+4y=-193x+4y=−19.

Answers

Answer:

  (x, y) = (3, -7)

Step-by-step explanation:

You want to solve these equations, -x+y=-10 and 3x+4y=-19, using elimination.

Elimination

The "elimination" method of solving a system of equations combines the equations in such a way that one of the variables is eliminated. Here, we can eliminate the x-variable by adding 3 times the first equation to the second:

  3(-x+y) +(3x+4y) = 3(-10) +(-19)

  7y = -49 . . . . . . . . . simplify; note x is eliminated from the equation

  y = -7 . . . . . . . . . . . divide by 7

The value of x can be found from the first equation by substituting for y:

  -x +(-7) = -10

  x = 10 -7 = 3 . . . . . . . add x+10 to both sides

The solution to these equations is (x, y) = (3, -7).

The solution is x=3, y = -7

From the question, we have

-x+y=-10 ...........(i)

3x+4y=-19 ..............(ii)

Multiplying equations (i) by 3, we get

-3x+3y=-30................(iii)

Adding both the equation (ii) and (iii), we get,

3x+4y-3x+3y  = -19-30

⇒7y = -49

y = -7

Substituting the value of y in equation (i), we get

-x+y=-10

⇒-x-7=-10

x=3

Elimination Method:

One method for resolving a system of linear equations is the elimination method. In this approach, the equation in one variable is obtained by either adding or subtracting the equations. We can add the equation to delete a variable if its coefficients are the same and have the opposite sign from the other variables. Similar to this, we can subtract the equation to get the equation in one variable if the coefficients of one of the variables are the same and their signs are the same.

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SOMEONE FILL IN THAT BLANK PLEASE !!

SOMEONE FILL IN THAT BLANK PLEASE !!

Answers

Answer:

40,000

Step-by-step explanation:

4/3√3-2√2× 3/3√3+2√2


answer in paper

Answers

\(\frac{4-6\sqrt{2}+6\sqrt{2}\sqrt{3}}{3\sqrt3}\) is the simplified form of the given expression.

The given expression is 4/3√3-2√2× 3/3√3+2√2

Simplifying the expression,

\(\frac{4}{3\sqrt3}-2\sqrt2\frac{ 3}{3\sqrt3}+2\sqrt2\\\\\frac{4-6\sqrt{2}+6\sqrt{2}\sqrt{3}}{3\sqrt3}\)

Therefore, the simplified form of the given expression is \(\frac{4-6\sqrt{2}+6\sqrt{2}\sqrt{3}}{3\sqrt3}\).

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I think I understand but so PLEASE HELP!

I think I understand but so PLEASE HELP!

Answers

Answer:

A.dresser

Step-by-step explanation:

To find the best selling furniture to achive his goal.

number of piece sold at $30 per hournumber of piece sold at<$30 per hour.Then the furniture with high value give more profit achive his goal.

Dresser—15-5= 10

Nightstand10-9=1

Armoire—12-6=6

chest14-8=6

from this,we get dresser has the highest value.

Dresser help him to meet his earning goal.

SEMOGA MEMBANTU

SS = a. (df)(s^2)b. (df)(s)c. (n)(s^2)d. (n)(s)

Answers

Decomposition is used to perform ANOVA and test the significance of the independent variable and its interaction effect on the dependent variable.

The expression SS stands for "sum of squares", which is a statistical concept used in analysis of variance (ANOVA) to quantify the variation in a dataset. The components of this expression, a, b, c, and d, represent different sources of variation in the dataset, and their meanings are as follows:

a. (df)(s^2): This component represents the sum of squares due to the effect of the independent variable, also known as the factor or treatment. It is calculated by multiplying the degrees of freedom (df), which is the number of levels of the factor minus one, by the variance of the data within each level (s^2). This component quantifies the amount of variation in the dependent variable that can be explained by the independent variable.

b. (df)(s): This component represents the sum of squares due to the interaction between the independent variable and other factors, also known as the interaction effect. It is calculated by multiplying the degrees of freedom (df) by the standard deviation (s) of the data. This component quantifies the amount of variation in the dependent variable that is due to the joint effect of the independent variable and other factors.

c. (n)(s^2): This component represents the sum of squares due to the variation within groups, also known as the error or residual sum of squares. It is calculated by multiplying the sample size (n) by the variance of the data within each group (s^2). This component quantifies the amount of variation in the dependent variable that is not explained by the independent variable or other factors.

d. (n)(s): This component represents the sum of squares due to the variation between the sample mean and the overall mean, also known as the total sum of squares. It is calculated by multiplying the sample size (n) by the standard deviation (s) of the data. This component quantifies the total amount of variation in the dependent variable.

In summary, the expression SS = a. (df)(s^2) + b. (df)(s) + c. (n)(s^2) + d. (n)(s) represents the decomposition of the total sum of squares into its components due to the independent variable, interaction effect, error, and total variation. This decomposition is used to perform ANOVA and test the significance of the independent variable and its interaction effect on the dependent variable.

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If the p-value of the coefficient of an X variable in a regression is 0.001, then it is reasonable to say that the coefficient of the X variable is 0 in the population regression line. true or false?

Answers

The given statement is false becasue If the p-value of the coefficient of an X variable in a regression is 0.001, then it suggests that there is significant evidence that the coefficient is different from 0 in the population regression line.

A p-value is a value that represents the probability of obtaining the observed results of a statistical hypothesis test. The p-value is used as an alternative to rejection point to give the smallest level of significance at which the null hypothesis would be rejected. It can be used to test hypotheses in statistics.

If the p-value is less than the significance level (α), then the null hypothesis is rejected. However, if the p-value is greater than the significance level (α), then the null hypothesis is not rejected. Therefore, we reject the null hypothesis if the p-value is less than or equal to the level of significance.

So, if the p-value of the coefficient of an X variable in a regression is 0.001, it suggests that the coefficient is statistically significant and different from 0 in the population regression line. Hence, the statement "it is reasonable to say that the coefficient of the X variable is 0 in the population regression line" is false.

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the hour hand of a clock is 6 inches long and the minute hand is 8 inches long. what is the ratio of the distance in inches traveled by the tip of the hour hand to the distance in inches traveled by the tip of the minute hand from noon to 3 p.m.? express your answer as a common fraction.

Answers

The ratio of the distance traveled by the tip of the hour hand to the distance traveled by the tip of the minute hand from noon to 3 p.m. is (12π)/(16π), which simplifies to 3/4.

To find the ratio of the distance traveled by the tip of the hour hand to the distance traveled by the tip of the minute hand from noon to 3 p.m., we need to consider their respective speeds.

The hour hand takes 12 hours to complete a full revolution around the clock, while the minute hand takes 60 minutes to complete a full revolution.

From noon to 3 p.m., the hour hand moves a quarter of a circle, which corresponds to 3 hours on the clock. The distance traveled by the tip of the hour hand is given by the circumference of a circle with a radius of 6 inches, which is 2π × 6 = 12π inches.

During the same period, the minute hand moves a three-quarter circle, corresponding to 180 minutes. The distance traveled by the tip of the minute hand is the circumference of a circle with a radius of 8 inches, which is 2π × 8 = 16π inches.

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