the linear regression coefficient of x on y is beta. what is the range of regression coefficient of y on x?

The dimensions of the outdoor enclosure with the most area is 250 feet and 125 feet.

One side of the store is 270 feet long

There are 500 feet of fencing available for the other three sides of the enclosure.

The Perimeter of rectangular outdoor storage = 2x + y

2x + y = 500

To maximize the area

y = 500 - 2x...............(1)

Area of rectangle;

A = xy

Now putting the value of y

A = x(500 - 2x)

Solve

A = 500x - 2x^2...................(2)

To finding the value of x differentiating on both side with respect to x.

dA/dx = 500 - 4x...................(3)

Equating dA/dx = 0

500 - 4x = 0

Subtract 4x on both side, we get

4x = 500

Divide by 4 on both side, we get

x = 125

Now putting the value of x in equation 1

y = 500 - 2(125)

y = 500 - 250

y = 250

Differentiating equation 3 again with respect to x

d^2A/dx^2 = -4 < 0 (Maximum)

Hence, for the maximum storage area

Length parallel to the store wall = 250 feet

Length perpendicular to the store wall = 125 feet

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They will lift the same weight (which is 26 kilograms) after one set.

Mason starts at 19kg bar and adds 7kg after each set, so after x sets, he will be lifting:

M(x) = 19 + 7*x

And Jack starts at 18kg, and after each set adds 8kg, then in this case the linear equation is:

J(x) = 18 + 8*x

They will lift the same weight when:

M(x) = J(x)

19 + 7*x =  18 + 8*x

19 - 18 = 8x - 7x

1 = x

So they will be lifting the same weight after one set, and that is:

J(1) = 18 + 8*1 = 26

26 kilograms.

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1. The measure of AC = 8.4

2. The measure of AC' = 6

3. The measure of C'B' = 12.6

Lines in a plane that are consistently spaced apart are known as parallel lines. Parallel lines don't cross each other.

Given:

Segment B'C' is parallel to segment BC.

A line splits a triangle's sides in the same proportion if it runs parallel to one side and crosses the other sides at two different spots.

Then,

10/4 = 6/x

x = 2.4

The measure of AC = 2.4

And,

14/8.4 = 21/y

y = 12.6

The measure of C'B' = 12.6

Therefore, all the required values are given above.

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The distinction in cost between the two sellers is $1.44, with Store-Ur-Stuff being savvier.

Expect you to take care of the two bills preceding the first of the month, the distinction in cost between leasing from Lease A-Space and Store-Ur-Stuff is $10. Lease A-Space would cost $88 (400 cubic feet x 22 pennies/cubic foot + 5.5% deals charge) while Store-Ur-Stuff would cost $78 (400 cubic feet x quarter/cubic foot + 4% markdown + 5.5% deals charge).

The distinction in cost between Lease A-Space and Store-Ur-Stuff can be determined as follows:

Lease A-Space: 400 cubic feet x $0.22/cubic foot = $88 in addition to burden = $92.64

Store-Ur-Stuff: 400 cubic feet x $0.25/cubic foot = $100 in addition to 4% markdown = $96 less expense = $91.20

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The following are the respective measures of angles and lengths of the rectangle ABCD:

m∠1 = 49°, m∠2 = 41°, m∠3 = 41°, m∠ADC = 90°, AB = 6.9, BD = 10, and CE = 5.

Considering the triangle AEB, angles A and B are base angles of a the isosceles triangle AEB so;

2(m∠ABE) + 98 = 180° {sum of interior angles of a triangle}

m∠ABE = (180 - 98)/2

m∠ABE = 41°

m∠1 = 90° - 41° {complementary angles of a rectangle}

m∠1 = 49°

angles m∠2 and m∠BAC are alternate angles and are equal so;

m∠2 = 41°

m∠ADC is one of the four interior angles of a rectangle so m∠ADC = 90°

Considering the right triangle ∆ABD and the tangent of angle B = 41°, we can solve for the length of AB as follows:

tan 41° = 6/AB {opposite/adjacent}

AB = 6/tan41° {cross multiplication}

AB = 6.9022.

m∠3 and m∠ABD are alternate angles so;

m∠3 = 41°

lines AC and BD are diagonals of the rectangle and they bisect each other, since EB = 5 then;

BD = 2 × 5 = 10

CE = 5

Therefore, the following are the respective measures of angles and lengths of the rectangle ABCD:

m∠1 = 49°, m∠2 = 41°, m∠3 = 41°, m∠ADC = 90°, AB = 6.9, BD = 10, and CE = 5.

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Answer:

below

Step-by-step explanation:

For the slope, m, between two lines

m = (y1-y2) / (x1-x2)    it does not matter which point you assign as 1 or 2

m = (-8-6) / ( -3 - 4)  = -14 / -7 = 2

I am pretty sure the answer would be (2,3)

The area of the figure ( a regular hexagon ) is 314.37 square millimeters     .

A regular hexagon which is inscribed in a circle consist of 6 equilateral triangle. All angle is equal.

So side length of the regular hexagon will be same with the radius of circle.

From the question we have following information :

1. Regular hexagon inscribed in a circle

2. Radius of circle is 11 millimeters.

To find the area of the hexagon we can use following formula

A = (3√3) / 2 * [tex]r^{2}[/tex]

Substituting r = 11mm into the equation for the area of the hexagon,

A = (3√3) / 2 * [tex]11^{2}[/tex] = (3√3) / 2 * 121 = 314.367 square millimeters

So the area of the figure is approximately 314.37 square millimeters (rounded to two decimal places).

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Answer:

hhyýuhhhí7 and Pakistan were colonized together so the britains could no win the fight with india therefore

Step-by-step explanation:

because at that time india and Pakistan were colonized together so the britains could no win the fight with india therefore Britain's plan to intimidate

Answer:

See below

Step-by-step explanation:

I am assuming you need help only for the bottom questions as the top is VERY simple (the top of the cross is literally multiplication of the numbers and the bottom of the cross is addition). This questions needed to be worth more points, with that being said

1. [tex]4y^3 - 2y + 3y^2 - 5y - y^2[/tex]

Combine like terms

[tex]4y^3 - 2y^2 - 7y[/tex]

2. [tex](2x^2 - x + 1) - (x+1)[/tex]

Remove numbers from brackets by distribution property (just imagine a one on the outside of the bracket)

[tex]2x^2 - x + 1 -x - 1\\2x^2 - 2x\\2x(x - 1)[/tex]

3. [tex]-2p^3(-2p^4 + 5p^2 - p)[/tex]

This is just distribution property, multiple the outside by inside (you add the exponents when you multiply)

   [tex]4p^7 - 10p^5 + 2p^4[/tex]

4. [tex](3y-6)(2y+3)[/tex]

You multiply each term on the inside of one bracket with the ones on the inside of the other bracket

[tex]6y^2 + 6y -12y -18\\6y^2 - 6y - 18\\6(y^2 - y -3)[/tex]

5. [tex](x+6)(x-6)[/tex]

Same as above but honestly its much quicker if you know the b term in ax^2 + bx + c = 0 always equals 0 in this case

[tex]x^2 -6x + 6x -36\\x^2 - 36[/tex]

Elena will likely use a measure of central tendency, such as the mean or median, to summarize her data in a single score.A measure of central tendency is a statistical value that summarizes a set of data.

It is accomplished by assigning a representative score, usually the most common value in a dataset. Elena's statistics course assignment requires her to utilise either the mean or the median to summarise the link between money and happiness.

The mean is computed by summing all of the values in a dataset and dividing by the total number of values. When a set of data is ordered numerically, the median is the midway value. Both of these metrics generate a single score that reflects the full dataset, making it easier to comprehend and make inferences from it.

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The data represent a quadratic function.

What is a quadratic equation?

A quadratic equation is a second-order polynomial equation with a single variable such as x, where ax²+bx+c=0. with a ≠ 0 . Given that it is a second-order polynomial equation, the algebraic fundamental theorem ensures that it has at least one solution. Real or complicated solutions are both possible.

To calculate the second difference,

select 3 consecutive y-values, and then subtract the first y-value from the second and the second y-value form the third. Then find the difference of these two resulting values . If all second differences are equal, the data represent a quadratic function.

1) -7,-5, -1

second y value  - first y-value = 2

third   y value  -   second y value = 4

difference of these two resulting values  = 2

2) -5,-1,5

second y value  - first y-value = 4

third   y value  -   second y value = 6

difference of these two resulting values  = 2

The data represent a quadratic function.

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The most common answer to this question is that people would suggest splitting the fare equally i.e. each person contributes $40.

Each stranger should contribute to the total fare based on the distance traveled, so the fare would be divided as follows -

Bob: 10 miles * $2/mile = $20

Sally: 20 miles * $2/mile = $40

Mike: 30 miles * $2/mile = $60

Total fare: $20 + $40 + $60 = $120

Therefore, each stranger should contribute $120/3 = $40 to the total fare.

The most common answer to this question is that people would suggest splitting the fare equally, i.e. each person contributes $40, regardless of the distance traveled. This is because it is a simpler and fairer solution, as each person benefits from the shared ride and the cost savings, regardless of the distance traveled.

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Answer: 2 3/4.

Step-by-step explanation: To multiply the mixed numbers, we need to first make them into improper fractions. To make 2 1/5 into an improper fraction, we multiply the whole number 2 by the denominator, 5, and add that to the numerator 1, giving us 11/5. We do the same for 1 1/4, giving us 5/4. 5/4 x 11/5 equals 55/20. 55/20 simplifies to 2 3/4.

Answer:     3

Step-by-step explanation:

22.5% of 40= 9 which is the amount for cats

30% of 40= 12 which is the amount for dogs.

12-9=3

Answer:

The picture won't show. are there answer options?

Step-by-step explanation:

Small room (S) - hold 3 people

Large room (L)- hold 4 people

Hudson reserved twice as many large rooms = 2x Large room #

2L + S = 66

So,

Let S = Small room

Let L = Large room

I hope this can make things slightly easier for you. I tried to make it more visible for you. Please comment if you need more help.

Answer: Alan would have to sell exactly 180 boxes.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The expansion for cos(x+y) is cosx*cosy - sinx*siny. We have sin x and cos y, now we need cosx and siny.

Angle x is in QIII and has a sin ratio of -5/6. Since the hypotenuse will never be negative and sin is opposite over hypotenuse, the side across from the reference angle, aka the height of the triangle, is -5 and the hypotenuse is 6. Using Pythagorean's Theorem we can find the third side:

[tex]6^2=(-5)^2+x^2[/tex] and

[tex]36=25+x^2[/tex] and

[tex]36-25=x^2[/tex] so

x = √11.

We do the same for the other angle y. We have the cos of angle y is 1/2 and since the cos ratio is adjacent over hypotenuse, the side next to the reference angle is 1 and the hypotenuse is 2 and we will find the third side using Pythagorean's Theorem:

[tex]2^2=1^2+y^2[/tex] and

[tex]4=1+y^2[/tex] and

[tex]3=y^2[/tex] so

y = √3.

We already know sinx = -5/6, now we know that cosx = -√11/6.

We already know cosy = 1/2, now we know that siny = -√3/2.

Now we can fill in the expansion for cos(x+y):

[tex](-\frac{\sqrt{11} }{6})(\frac{1}{2})-(-\frac{5}{6})(-\frac{\sqrt{3} }{2})[/tex] Multiplying straight across the top and bottom we get

[tex]-\frac{\sqrt{11} }{12}-\frac{5\sqrt{3} }{12}[/tex] which simplifies to

[tex]\frac{-\sqrt{11}-5\sqrt{3} }{12}[/tex]

And you're done!

The number of distinct initial possible pairings for a single-elimination ping-pong tournament with n players that result in distinct tournament brackets is 2^(log2(n) - 1).

What is logarithm ?

The logarithm is the inverse function to exponentiation. That means the logarithm of a number x to the base b is the exponent to which b must be raised, to produce x.

In a single-elimination ping-pong tournament, each player plays one match in each round until a champion is determined. For n players, there are log2(n) rounds in the tournament, and in each round half the players are eliminated.

For n = 2, there is only 1 player left after the first round, so there is only 1 distinct pairing and 1 distinct tournament bracket.

For n = 4, there are 2 players left after the first round, and they play in the final. There are 2 possible pairings for the first round, which result in 2 distinct tournament brackets.

For n = 8, there are 4 players left after the first round, and there are 4 possible pairings for the first round. These pairings result in 4 distinct tournament brackets.

So the number of distinct initial possible pairings for a single-elimination ping-pong tournament with n players that result in distinct tournament brackets is 2^(log2(n) - 1).

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Answer: Sebastián bought 18 figurines.

Data :

We must bear in mind that Javier bought 3 envelopes of 6 figurines each. Calculate the total number of figurines by adding 6 + 6 + 6 therefore:

[tex]\bf \: 6 + 6 + 6 = \boxed{ \bf18}[/tex]

Rpt: Sebastián bought 18 figurines.

Answer:

[tex](1+\sin(x))(\sec(x)-\tan(x))=\cos(x)[/tex]

Step-by-step explanation:

We are going to use the Pythagorean trigonometric identity:

[tex]\sin^2(x)+\cos^2(x)=1[/tex]

and the following relationships between trigonometric functions:

[tex]\sec(x)=\frac{1}{\cos(x)}\\\tan(x)=\frac{sin(x)}{cos(x)}[/tex]

We can transform the expression as follows:

[tex](1+\sin(x))(\sec(x)-\tan(x))=(1+\sin(x))(\frac{1}{\cos(x)}-\frac{\sin(x)}{\cos(x)})=(1+\sin(x))\frac{1-\sin(x)}{\cos(x)}=\frac{(1+\sin(x))(1-\sin(x))}{\cos(x)}[/tex]

Using the formula for the difference of two squares, we can write

[tex](1+\sin(x))(1-\sin(x))[/tex]

as

[tex]1-\sin^2(x)[/tex]

which, according to the Pythagorean trigonometric identity, is equal to

[tex]\cos^2(x)[/tex]

Now we can simplify the original expression to

[tex]\frac{\cos^2(x)}{\cos(x)}=\cos(x)[/tex]

Answer:

0.583 [the 3 goes on forever]

Step-by-step explanation:

The conjectures which you can make about a point on the perpendicular bisectors of a segment and a point of a bisector of an angle include the following below:

Th line that divides something into two equal parts and it is usually applied to the line segments and angles.

The following relationships between them is that if there is a point which lies on the perpendicular bisector of a segment, then it is most likely to be equidistant from the endpoints of the segment when scrutinized thereby making it the correct choice.

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The maximum distance Frank can travel would be 10 miles.

What is maximum distance?

For maximum distance that is maximum range of a projectile, the angle of projectile should be 45°.

From given question,

taxicabs charge for first mile = $1.00

for each additional mile = $0.30

The cost for the first mile is $1, and for each additional mile it's $0.30, so for 10 miles it would be $1 + 9 * $0.30 = $4.70. Since Frank has only $3.50, he can travel a maximum of 10 miles.

Therefore, The maximum distance Frank can travel would be 10 miles.

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Answer: A: 50,000

Answer: B: 55

Step-by-step explanation:

You can use ratio proportions to answer this problem

10/10,000 = 50/x

Cross multiply: 10x/10 = 500,000/10

x = 50,000

You can use ratio proportions to answer this problem

10/10,000 =  x/55,000

Cross mupltipy: 10,000x/10,000 = 550,000/10,000

x = 55

May or may not be correct

Days exactly: The rate of interest is 4.17%. The interest rate of  amount is 4.21% on regular days.

I = P x R x T/365, where I is the interest, P is the principal, R is the rate, and T is the duration, can be used to determine the interest rate using exact days.

I = 61625 - 60000 = 625, P = 60000, R =?, and T = 150 are the numbers used in this calculation. The formula for 625 reads as follows: 625 = 60000 x R x 150/365. By multiplying both sides by 365/150, we may find R. As a result, R = 625 x 365/90000 = 4.17%.

I = P x R x T/360, where I is the interest, P is the principal, and R is the rate of return, can be used to get the interest rate using regular days.T stands for time, and R represents the rate. I = 61625 - 60000 = 625, P = 60000, R =?, and T = 150 are the numbers used in this calculation. The formula for 625 reads as follows:

625 = 60000 x R x 150/360. By dividing both sides by 360/150, we may find R. As a result, R = 625 x 360/90000 = 4.21%.

I = P x R x T/365, which means that R = I x 365/P x T = 625 x 365/60000 x 150 = 4.17%. Exact days

I = P x R x T/360 on typical days, which means that R = I x 360/P x T is 625 x 360/60000 x 150, or 4.21%.

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As per the regression equation, the value of intercept coefficient is 1.5707

Regression is a statistical technique used to determine the relationship between an independent variable and a dependent variable.

In this case, the regression statistics provided in table 6 show the results of estimating the model

=> Δln (Sales t) = b0 + b1Δln (Sales t −1) + εt,

where Δln (Sales t) is the change in the natural log of sales for Cisco Systems quarterly observations from 3Q:1991 to 4Q:2000.

The R-squared value of 0.0661 indicates that only about 6.61% of the variation in the change in the log of sales can be explained by the change in the log of sales from the previous quarter.

The standard error of 0.4698 indicates the average deviation between the actual and predicted change in the log of sales.

If the results show that the specification is correct, then the long-run change in the log of sales toward which the series will tend to converge can be determined by the intercept coefficient, which in this case is 1.5707.

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The balance after 2 years would be $4482.25

What exactly is compound interest?

Compound interest is when you earn interest on both your savings and your interest earnings.

The formula for finding the amount in a continuously compounded account is: A = P * e^(rt), where A is the final amount, P is the principal, r is the annual interest rate as a decimal, t is the time in years, and e is the mathematical constant approximately equal to 2.718.

Using this formula, we have:

            [tex]A = $4000 * e^(0.057 * 2) = $4000 * e^0.114\\\\A = $4000 * 1.12061367\\\\A = $4482.25[/tex]

So the balance after 2 years would be $4482.25

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The segments DF and AB are parallel, as they have the same slope.

A segment is composed by two endpoints, and then the slope is calculated as the change in y divided by the change in x of these points.

The endpoints of segment AB are given as follows:

A(-5,2) and B(1,-2).

Hence the slope is of:

m = (-2 - 2)/(1 - (-5)) = -4/6 = -2/3.

The endpoints of segment DF are given as follows:

D(-4,-2) and F(-1,-4).

Hence the slope is of:

m = (-4 - (-2))/(-1 - (-4)) = -2/3.

As the segments have the same slope, they are parallel.

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The decimal equivalent of 1101.101 in base 9 is 729.1184.

The decimal equivalent of an unsigned base 9 value is simply the number represented in the decimal system.

To find the decimal equivalent of 1101.101 in base 9, we need to convert each digit to its decimal equivalent.

First, we'll convert the whole number portion of 1101.101.

1101 in base 9 is equivalent to

=> 9³ + 1 = 729

Now, we'll convert the fractional portion.

The first digit after the decimal point, 1, represents 1/9.

The next digit, 0, represents 0/9².

The last digit, 1, represents 1/9³.

Adding these values together, we get

=> 729 + 1/9 + 1/729 = 729.1184

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