what is ordinary least squares (ols) method? in order for the ols method to produce best linear unbiased estimators (blue), what assumptions must be satisfied?

Answer:

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To expand and simplify 5(x + 4) 3(x + 2), we can use the distributive property of multiplication over addition which states that a(b + c) = ab + ac.

So, we have:

5(x + 4) 3(x + 2) = (5x + 20)(3x + 6)

Now, we can use the distributive property again to expand this expression:

(5x + 20)(3x + 6) = 5x * 3x + 5x * 6 + 20 * 3x + 20 * 6

= 15x^2 + 90x + 60

Therefore, the answer is 15x^2 + 90x + 60.

I hope this helps!

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Answer:

the y is always gonna be a difrent like a negative and a postive

Step-by-step explanation:

the y on the left if it's a positive the y on the right Is nightie ect

The surface area of the rectangle prism is 96cm²

A prism is a solid shape that is bound on all its sides by plane faces. The surface area of a prism is expressed as;

SA = 2B +pH

where B is the base area and p is the perimeter of the base and h is the height of the prism.

Base area = 4× 2 = 8cm²

perimeter of the base = 2(4+2) = 2× 8 = 16cm²

height = 5cm

therefore the surface area of the prism

= 2×8 + 5×16

= 16+80

= 96cm²

therefore the surface area of the prism is 96cm²

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The calculated height of the trapezoid is 5 ft.

The formula for the area of a trapezoid is:

A = (b1 + b2)h/2

where A is the area, b1 and b2 are the lengths of the parallel sides, and h is the height.

We are given that the area of the trapezoid is 25.5 ft^2, and the lengths of the parallel sides are 3.2 ft and 7 ft.

Substituting the given values into the formula, we get:

25.5 = (3.2 + 7)h/2

Simplifying the expression on the right side, we get:

25.5 = 5.1h

Dividing both sides by 5.1, we get:

h = 25.5/5.1

h = 5

Therefore, the height of the trapezoid is 5 ft.

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The complete factorization of the quadratic equation, would lead to the factor being (5y + 1)(4y - 1).

To factor the quadratic expression 20y² + 3y - 2 completely, we can use the "ac method" (product-sum method).

Rewrite the quadratic expression using these two numbers:

20y² - 5y + 8y - 2

Now, factor by grouping:

5y(4y - 1) + (4y - 1)

Now, we can see that there is a common factor of (4y - 1) in both terms:

(5y + 1)(4y - 1)

So, the factored form of the quadratic expression 20y² + 3y - 2 is (5y + 1)(4y - 1).

In conclusion, the factored form of the quadratic expression 20y² + 3y - 2 is (5y + 1)(4y - 1).

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Answer:

$14.612

Step-by-step explanation:

40% = 0.4

Find a 40% tip on a 36.53 meal.

We Take

36.53 x 0.4 = $14.612

So, the tip is $14.612

The number of DVDs can be purchased for x dollars = 5x/4d.

The correct answer is an option (e)

Here you have x dollars to spend.

The regular price for a DVD is d dollars.

We need to find the number of DVDs can be purchased for x dollars when the DVDs are on sale at 20% off the regular price.

To find number of DVDs can be purchased  for x dollars, we must divide x by the sale price of a CD.

After 20% off, the sale price would be,

(100 - 20)% of d

= 80% of d

Using percentage formula, we can write 80 percent of d as,

80%d

= (80/100) × d

= (4/5)d .

So, we need to divide x by (4/5d) which is equal to 5x/4d.

Therefore, the correct answer is an option (e)

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The complete question is:

At Bruno’s Video World, the regular price for a DVD is d dollars. How many DVDs can be purchased for x dollars when the DVDs are on sale at 20% off the regular price?

   a)    4/5x

   b)    5/4x

   c)    4/5d

   d)    4x/5d

   e)    5x/4d

The approximate shortest distance, to the art hundredth of a foot, between first and third base is 127.28 feet.

Distance refers to the amount of space between two objects or points. It can be measured in units such as meters, kilometers, miles, or feet, and is commonly used to describe the length or extent of a journey, path, or separation.

According to the given information:

The distance between first and third base in a baseball diamond is the diagonal of the square with side lengths of 90 feet. Using the Pythagorean theorem, we can calculate this distance as follows:

d² = 90² + 90²

d²= 8,100 + 8,100

d²  = 16,200

d = √(16,200)

d ≈ 127.28 feet

Therefore, the approximate shortest distance, to the nearest hundredth of a foot, between first and third base is 127.28 feet. The correct answer is option (b).

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Answer:

Side AC Is Parrellel to BD

Side BA is Parallel to DC

Step-by-step explanation:

Parallel is the opposing side.

The trend line for the y = 0.5x + 2 is attached accordingly. Note that the the predicted gas price for month 13 would be $8.50.

a. To draw a trend line on a scatter plot, you need to perform a linear regression analysis. This involves finding the line of best fit that passes through the data points. The equation for a linear regression line is typically of the form y = mx + b, where y is the dependent variable (gas price in this case), x is the independent variable (month), m is the slope of the line, and b is the y-intercept.

Once you have the equation for the line of best fit, you can plot it on the scatter plot to visualize the trend. The slope of the line will tell you the direction and steepness of the trend (i.e., whether prices are increasing or decreasing, and how quickly).

b. To predict future values using the trend line, you can simply plug in the value of the independent variable (month) for the month you want to predict, and solve for the dependent variable (gas price). For example, if the equation for the trend line is y = 0.5x + 2, and you want to predict the gas price for month 13, you would plug in x = 13 and solve for y:

y = 0.5(13) + 2

y = 6.5 + 2

y = 8.5

So the predicted gas price for month 13 would be $8.50.

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Answer:

His confidence is transformed by the crowd’s response.

Step-by-step explanation:

Scotty is described as being a "quavering husk...just moments before." This shows his lack of confidence and anxiety about being on stage.

Answer:

Aquí respondemos a la pregunta: "¿Qué dos números se multiplican por 4 y suman 5?"

La respuesta a tu pregunta es:

1 y 4

A continuación ilustramos y demostramos que 1 y 4 se multiplican por 4 y suman 5:

1 × 4 = 4

1 + 4 = 5

¿Estás preguntando porque estás tratando de averiguar cómo factorizar la siguiente ecuación cuadrática?

x2 + 5x + 4 = 0

Si es así, la solución para factorizar la ecuación cuadrática anterior es:

(x+1) (x+4)

Para resumir, dado que 1 y 4 se multiplican por 4 y suman 5, sabes que lo siguiente es cierto:

x2 + 5x + 4 = (x + 1 ) (x + 4)

Step-by-step explanation:

The Hardy-Weinberg equation is a mathematical formula used to calculate the frequency of alleles (alternative forms of genes) in a population.

It states that the frequency of alleles and genotypes in a population will remain constant from generation to generation in the absence of other evolutionary influences.

The equation is expressed as: p² + 2pq + q² = 1

In this equation, p represents the frequency of the dominant allele in the population, and q represents the frequency of the recessive allele.

The superscripts 2 represent the proportion of individuals in the population that are homozygous for that allele (meaning they have two copies of the same allele), while the 2pq term represents the proportion of individuals that are heterozygous (meaning they have one copy of each allele).

The sum of these terms is always equal to 1, as it represents the entire population.

This equation assumes several conditions: that the population is large, randomly mating, with no mutations, migration, natural selection, or genetic drift.

In reality, these conditions are rarely met, and the Hardy-Weinberg equation serves as a useful model for understanding how allele frequencies can change over time due to various evolutionary influences.

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If she will begin paying off the loan in 15 months, . The amount she will she owe when she begins making payments is: C. $12,496.52, since Alma is responsible for the interest on the loan that accrues before she starts making payments.

The formula to calculate the future value of a loan with monthly compounding interest is:

FV = PV * (1 + r/12)^n

where:

PV = present value of the loan

r = annual interest rate

n = number of months

Using this formula, we can calculate the amount that Alma will owe when she begins making payments:

PV = $10,925

r = 10.8% APR = 0.9% monthly interest rate

n = 15 months

FV = $10,925 * (1 + 0.009)^15 = $12,496.52

Therefore, the answer is C. Alma is responsible for the interest on the loan that accrues before she starts making payments, and she will owe $12,496.52 when she begins making payments.

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Use a calculator to solve this problem!

Answer:

Step-by-step explanation:

775625 is the correct answer

The thickness of the concrete pad is 58 and 2/81 yd³. So correct option B.

Volume is the measure of the amount of space occupied by a three-dimensional object or substance. It is typically measured in units such as cubic meters, cubic feet, liters, or gallons. The formula for calculating the volume of a simple shape like a cube, rectangular prism, or cylinder involves multiplying its length, width, and height or its base area and height. More complex shapes may require more advanced formulas or techniques for determining their volume. Volume is an important concept in many fields, including physics, engineering, architecture, and chemistry, and is often used to measure quantities such as liquids, gases, and solids.

To find the volume of the concrete pad, we need to multiply the length, width, and thickness of the pad.

First, we need to convert the dimensions to yards by dividing by 3 since there are 3 feet in a yard:

Length: 31 and 1/3 yards = 94/3 yards

Width: 16 and 2/3 yards = 50/3 yards

Thickness: 1/9 yard

Now we can calculate the volume:

V = (94/3) * (50/3) * (1/9)

V = 4700/81 cubic yards

V ≈ 58.02 cubic yards

Therefore, the answer is B. 58 and 2/81 yd³.

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The complete question is:

The lateral surface-area of the cone with dimensions 12 cm height and 5 cm radius is 65π cm² using the formula πrl.

What is surface-area?

The overall surface area of a solid shape, item, or three-dimensional figure.It can have a flat or curved surface. Cone and cylinder surfaces are curved, but those of solid structures like the cube and cuboid have flat surfaces. The surface area of the cube is provided by 6 times side times side, which equals the area of each face side times side. The cube and cuboid have 6 faces, 12 equal edges, and 8 corners or vertices.

Given that the dimensions of cone:

Radius(r)=5 cm

Height(h) = 12 cm

slant height l =[tex]\sqrt{r^{2} +h^{2} }[/tex]

                      =[tex]\sqrt{(5)^{2} +(12)^{2} }[/tex]

                      =[tex]\sqrt{25+144}[/tex]

                      =[tex]\sqrt{169}[/tex]

                      =13 cm

Slant height (l) = 13 cm

lateral area of cone= πrl.

                                =π (5) (13)

                                =65 π cm²

The lateral surface area of cone=65 π cm²

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Answer:

b < [tex]\frac{7}{4}[/tex]

Step-by-step explanation:

5b - 3 > 9b + 4

-4b - 3 > 4

-4b > 7

b < [tex]\frac{7}{4}[/tex]

So, the answer is b < [tex]\frac{7}{4}[/tex]

If sin (α) =(5)/(13) in Quadrant I and cos(β) = (-12)/(13) in Quadrant II, then sin(α + β ) = -120/169 .So, the answer is option 1).

To evaluate sin(α + β), we can use the trigonometric identity:

sin(α + β) = sin α cos β + cos α sin β

First, we need to find cos α. Since sin α is positive and in Quadrant I, we can use the Pythagorean identity to find cos α:

cos α = √(1 - sin² α) = √(1 - (5/13)²) = √(1 - 25/169) = √(144/169) = 12/13

Next, we need to find sin β. Since cos β is negative and in Quadrant II, we can use the Pythagorean identity to find sin β:

sin β = -√(1 - cos² β) = -√(1 - (-12/13)²) = -√(1 - 144/169) = -√(25/169) = -5/13

Now we have all the values we need to evaluate sin(α + β):

sin(α + β) = sin α cos β + cos α sin β

= (5/13)(-12/13) + (12/13)(-5/13)

= -60/169 - 60/169

= -120/169

Therefore, the answer is option 1) -120/169.

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Answer:

Together, they have 12 + 2(12) = 12 + 24 = 36 toys.

Answer:

so in total they have 36 toys

Step-by-step explanation:

The confidence interval for the difference in average lifespan between the two groups of children (-43, 9) years includes 0, which means that we cannot conclude with confidence that there is a significant difference between the two groups.

Since the confidence interval includes negative values, we cannot even conclude that the garlic pills were beneficial in prolonging the life of the children. It is possible that the garlic pills had no effect or even a harmful effect on the lifespan of the children.

Therefore, based on this information, we cannot conclude that garlic pills are effective in prolonging the life of children with deliops disease. Further research would be needed to determine whether garlic pills have any beneficial effects on the lifespan of these children.

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Answer:

x = - 3 , x = 4

Step-by-step explanation:

to find the zeros let f(x) = 0 , that is

(2x + 6)(x - 4) = 0

equate each factor to zero and solve for x

2x + 6 = 0 ( subtract 6 from both sides )

2x = - 6 ( divide both sides by 2 )

x = - 3

x - 4 = 0 ( add 4 to both sides )

x = 4

the zeros are x = - 3 , x = 4

The arithmetic sequence is 49 x 4 = 196,  94 x 6 = 564.

What is arithmetic sequence?

An arithmetic sequence is a sequence of numbers in which each term after the first is found by adding a fixed constant number, called the common difference, to the preceding term.

1. 76 x 8 = 608

2. 84 x 9 = 756

3. 68 x 4 = 272

4. 32 x 6 = 192

PART 2

5. 59 x 7 = 413

6. 74 x 8 = 592

7. 68 x 8 = 544

8. 95 x 9 = 855

9. 84 x 5 = 420

10. 22 x 4 = 88

11. 48 x 5 = 240

12. 84 x 8 = 672

13. 76 x 9 = 684

14. 89 x 9 = 801

15. 63 x 5 = 315

16. 32 x 9 = 288

17. 63 x 8 = 504

18. 79 x 9 = 711

19. 78 x 5 = 390

20. 49 x 4 = 196

21. 94 x 6 = 564

Therefore, The arithmetic sequence is 49 x 4 = 196,  94 x 6 = 564

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Answer:

2c + 3d = 24. For c = 4.25 and d = 3.75, we have 2(4.25) + 3(3.75) = 8.5 + 11.25 = 19.75

and

c^2 + d^2 = 24. For c = 4.25 and d = 3.75, we have 4.25^2 + 3.75^2 = 18.0625 + 14.0625 = 32.125

Step-by-step explanation:

There are many possible algebraic expressions involving c and d that are worth 24, but two possibilities are:

2c + 3d = 24. For c = 4.25 and d = 3.75, we have 2(4.25) + 3(3.75) = 8.5 + 11.25 = 19.75, which is not equal to 24. Therefore, this expression is not true for the given values of c and d.

c^2 + d^2 = 24. For c = 4.25 and d = 3.75, we have 4.25^2 + 3.75^2 = 18.0625 + 14.0625 = 32.125, which is not equal to 24. Therefore, this expression is also not true for the given values of c and d.

It is important to note that there are many

To find sin(Q), we first calculated the length of the hypotenuse using the Pythagorean theorem. Then we used the sine function to find sin(Q) which is approximately 0.78 rounded to the nearest hundredth.

We can use the Pythagorean theorem to find the length of the third side, which is the hypotenuse

h = √(P² + Q²)

h = √(7² + √95²)

h = √(49 + 95)

h = √144

h = 12

Now, we can use the sine function to find sin(Q)

sin(Q) = opposite/hypotenuse = √95/12

Using a calculator, we get

sin(Q) ≈ 0.78

Rounding to the nearest hundredth, we get

sin(Q) ≈ 0.78

Therefore, the value of sin(Q) rounded to the nearest hundredth is 0.78.

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--The given question is incomplete, the complete question is given

" Find the value of sin Q rounded to the nearest hundredth, if necessary.

Q= √95

P= 7 "--

The formula C6*D6 can be found in the cell E6. Option A is the correct answer.

A spreadsheet cell is a square region in a grid that can hold text, numbers, or formulas as well as other types of data. A unique cell address, which comprises of a column letter and a row number, is used to identify each cell. For instance, cell C4 is the cell in the third column and fourth row, and cell A1 is the top-left cell in the spreadsheet. Users can enter data, format cells, and use formulas to conduct calculations on the cells in a spreadsheet, among other tasks.

The formula C6*D6 can be found in the cell E6. Option A is the correct answer.

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Answer:

[tex]\frac{12}{5}[/tex] = 12 ÷ 5

[tex]\frac{1}{4}[/tex] = 1 ÷ 4

[tex]\frac{3}{8}[/tex] = 3 ÷ 8

[tex]\frac{9}{2}[/tex] = 9 ÷ 2

The factored form of the equation 4x² + 20x + 200 = 0 is 4(x + (5/2) +-5/2+√7(5/2i))(-5/2+√7(-5/2i))

To factor completely, we can begin by factoring out the greatest common factor of the three terms, which is 4:

4(x² + 5x + 50) = 0

Next, we want to factor the quadratic expression in parentheses.

we can use the quadratic formula, which states that the solutions to the equation ax² + bx + c = 0 are given by:

x = (-b ± √(b² - 4ac)) / 2a

In this case, a = 1, b = 5, and c = 50, so we have:

x = (-5 ± √(5² - 4(1)(50))) / 2(1)

x = (-5 ± √(-175)) / 2

x=-5/2+√7(5/2i)

x=-5/2+√7(- 5/2i)

The factored form of the equation 4x² + 20x + 200 = 0 is:

4(x + (5/2) +-5/2+√7(5/2i))(-5/2+√7(-5/2i))

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Answer:

Step-by-step explanation:

Recall that the formula for the circumference of a circle is:

[tex]2\pi r[/tex]

Also recall that the formula for the area of a circle is:

[tex]\pi r^2[/tex]

Both formulas use the radius; one squares it, while the other doubles it.

Let's start by turning the formula for the circumference of a circle into the formula for the area of a circle. We start off with:

[tex]2\pi r[/tex]

We want to square the radius, but we can't do that without squaring everything else, too, so let's get rid of the other terms.

Divide the circumference by [tex]2\pi[/tex]:

[tex]2\pi r\\\frac{2\pi r}{2\pi } =\\r[/tex]

Now, we can square r:

[tex]r\\r^2[/tex]

Now, all we have to do is multiply by pi:

[tex]r^2\\\pi r^2[/tex]

We now have the area.

Let's look back at out steps.

First, we divided the circumference by [tex]2\pi[/tex].

Next, we squared the number we had left (the radius).

Finally, we multiplied by [tex]\pi[/tex].