to study the effect of temperature on yield in a chemical process, five batches were produced at each of three temperature levels. the results follow. Construction an analysis of variance table. Use a 05 level of significance to test whether the temperature level has an effect on the mean yield of process

Answer:

Add and subtract the second term to the expression and factor by grouping.

     (2 x -1) ( x^2 + 4)

Hope this helps!

Answer:

A, D, E, and F are all equivalent expressions.

Step-by-step explanation:

A. 1:

1 is already a simplified fraction, so there is nothing to do.D. 4:

4 is already a simplified fraction, so there is nothing to do.E. 1.

28.:

This expression is not a fraction, but rather a mixed number. To convert it to a fraction, we first need to rewrite it as an improper fraction. To do this, we take the whole number (1) and multiply it by the denominator (28), and then add the numerator (0):1.28 = 1 * 28 + 0 = 28Then we can simplify the fraction by dividing both the numerator and denominator by their greatest common factor, which is 4:28/4 = 7F. 1

22:

We can simplify this fraction by dividing both the numerator and denominator by their greatest common factor, which is 1:1/22 = 1/22

I hope this helps! Let me know if you have any questions.

One would expect the foreword of a book to be found:

C. At the beginning of the book

The foreword in a book refers to the introductory part of the book that is written by an expert on the subject discussed by the book. The foreword of a book is located at the beginning part of the book and it provides reasons that readers should consider reading the book.

The foreword is not meant to dissuade the readers but to encourage them on the importance and content of the book. It is logical then to expect this feature of books to be located at the beginning of the book.

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Answer:

y = -x - 1 ;  y = 11x - 25

Step-by-step explanation:

y = x² + x

y-(-3) = m(x-2)

y = x²+x

y + 3 = mx - 2m

y = x² + x

y = mx - 2m - 3

x² + x = mx - 2m - 3

x² + x - mx + 2m + 3 = 0

x² + (1-m)x + 2m + 3 = 0

discriminant = m² + 1 - 2m -4 (2m + 3)

m² + 1 - 2m - 8m  - 12

m² - 10m - 11

the line is tangent so the discriminant must be equal to 0

m² - 10m - 11 = 0
(m-11)(m+1) = 0

m = 11

m = -1

y + 3 = -(x-2)

y+ 3 = -x + 2

y = -x + 2 - 3

y = -x - 1

y + 3 = 11(x-2)

y + 3 = 11x - 22

y = 11x -22 - 3

y = 11x - 25

Answer:

I just know one of them but I think it's "step one:distributive property"

Step-by-step explanation:

im sorry I wasn't able to get the third one

Answer:

12

Step-by-step explanation:

2 is 40 percent of 5

12 is 40 percent of 30

Answer:

15 people would be running out of 30

Step-by-step explanation:

30/2

Option A is correct.

For testing, if x is a significant predictor of y in simple linear regression, we need to determine if the slope is significantly different from zero.

What is linear regression?

A statistical technique known as linear regression is used to represent the connection between a scalar answer and one or more explanatory factors. When there is just one explanatory variable, simple linear regression is employed; when there are numerous explanatory variables, multiple linear regression is utilized.

Based on the value of another variable, linear regression analysis makes predictions about the value of the first variable. The dependent variable is the one you're trying to forecast. The independent variable is the one you are utilizing to make a prediction about the value of the other variable.

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The distance formula is a mathematical equation that can be used to calculate the distance between two points in a coordinate system. It is typically expressed as d = √(x2−x1)2+(y2−y1)2, where (x1,y1) and (x2,y2)

The distance formula is an equation used to calculate the distance between two points in a coordinate system. To use it, you must know the x- and y-coordinates of each point. The equation is expressed as d = √(x2−x1)2+(y2−y1)2, where (x1,y1) are the x- and y-coordinates of the first point, and (x2,y2) are the x- and y-coordinates of the second point. The result, d, is the distance between the two points. To calculate the distance, you must first subtract the x-coordinate of the first point from the x-coordinate of the second point, then square the result. Next, subtract the y-coordinate of the first point from the y-coordinate of the second point and square the result. Finally, add the two squared numbers and take the square root of the sum. The result is the distance between the two points.

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Step-by-step explanation:

Since a perimeter is a total distance around the figure.

And a square is a quadrilateral(with four sides) which are equal.To find the length of each side,divide the perimeter by 4.

hope it helps you.

Answer:

Area of square = 225 cm²

Step-by-step explanation:

Perimeter of square formula,

→ P = 4 × side

→ P = 4a

Now the side of square will be,

→ P = 4a

→ 4a = 60

→ a = 60/4

→ [ a = 15 cm ]

Then the area of square will be,

→ (a)²

→ (15)²

→ 225 cm²

Hence, area of square is 225 cm².

The absolute value of the complex number - 3 + 2i is √13 plotted on the z plane(a + ib).

As the name suggests it is a combination of real numbers and imaginary numbers.

A complex number (a + ib) where a is the real part and b is the imaginary part.

'i' here is called iota and i = √-1, i² = - 1, i³ = - i and i⁴ = 1.

We know the absolute value or magnitude of a complex number

z = a + ib is | z | = [tex]\sqrt{a^2+b^2[/tex].

∴ The absolute value of z = -3 + 2i is,

| z | = [tex]\sqrt{(-3)^2 + (2)^2[/tex].

| z | = [tex]\sqrt{13}[/tex].

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Answer:

infinite number of solutions

Step-by-step explanation:

5x - 4y = 10 → (1)

10x - 8y = 20 → (2)

multiply (1) by - 2

- 10x + 8y = - 20 → (3)

ad (2) and (3) term by term

0 + 0 = 0

0 = 0 ← true statement

this indicates the system has an infinite number of solutions

Let a be the area of smaller pentagon. Then area of the smaller pentagon is a=8 [tex]in^{2}[/tex] .

A pentagon is a 2D polygon with five sides and five angles. The word "pentagon" is created by combining the Greek words "penta" (which means "five") and "gon," which means "angles."

The President and the Secretary of Defense have exercised global command and control over the nation's armed forces from the Pentagon. Since its construction, the Pentagon has served as a national and international emblem. It is, above all, a metaphor for American strength and influence, with all the positive and negative connotations that entails.

Similar figures' surfaces have an area that is proportional to the square of their sides.

The ratio of the sides is on the left, and the ratio of their areas is on the right, therefore we may write this as a proportion.

Keep in mind that the ratio of the sides is squared because we are working with areas.

[tex]\frac{side_{1} ^{2} }{side_{2} ^{2} } =\frac{area_{1} }{area_{2} }[/tex]

Let area a smaller pentagon is a

[tex]\frac{7^{2} }{2^{2} }=\frac{98}{a}[/tex]

a=[tex]\frac{98*4}{49}[/tex]

a= 8 [tex]in^{2}[/tex]

So the area of the smaller pentagon is 8 [tex]in^{2}[/tex]

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A function that represents this situation of selling 3 duct tape wallet per day out of of 160 duct tapes wallets produced is

Information from the problem

You have made 160 duct tape wallets to sell

If you sell 3 each day

From the information we can deduce that

assuming amount left is y and the number of days x the  we have

y = 160 - 3x

Therefore we can say that the expression to represent the situation of selling 3 duct tape wallet per day is  y = 160 - 3x

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The common ratio of the geometric sequence will be negative 2.

Given that:

Geometric sequence: 17, -34, -68, .....

A series of non-zero integers where every term after the first is obtained by increasing the one before it by a constant, non-zero value known as the scale factor.

Let a₁ be the first term and r be the common ratio. Then the nth term of the geometric sequence is given as,

aₙ = a₁ · (r)ⁿ⁻¹

The common ratio of the geometric sequence is calculated as,

r = (-34) / (17)

r = - 2

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The base and height of the triangle are 21 and 7 respectively.

Area of the triangle = [tex]\frac{1}{2} bh[/tex]

                                = 73.5

Where, b is the base of a triangle

h is the height of the triangle

Let the base of the triangle = b

Here, b =  2h + 7

Area of the triangle = 1/2 (2h +7)h =  73.5

                                 [tex]= > 2h^{2} +7h = 73.5*2 \\\\= > 2h^{2} +7h = 147\\\\= > 2h^{2} +7h -147 = 0\\\\= > h = 7[/tex]

Height of the triangle = h = 7

Base of the triangle = b =  2h + 7

                                       = 2(7) +7

                                    b = 21

The base and height of the triangle are 21 and 7 respectively.

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The solution for x in the pentagon is 90

From the question, we have the following parameters that can be used in our computation:

Shape = pentagon

This means that

n = 5

The sum of the internal angles is calculated as

Angles = 180(n - 2)

Substitute the known values in the above equation, so, we have the following representation

Angles = 180(5 - 2)

So, we have

Angles = 540

This means that

x + 90 + 90 + 135 + 135 = 540

So, we have

x + 450 = 540

Evaluate

x = 90

Hence, the value of x is 90

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On solving the provided question, we got to know that - they are perpendicular, they are perpendicular and they are intersecting lines

A straight line that intersects another straight line at a 90° angle is said to be perpendicular. A little square is placed in the middle of two vertical lines to represent a 90° angle, often known as a right angle, as illustrated. The two straight lines in this instance are perpendicular to one another since they connect at a right angle.

1) For this case, we have to define perpendicular lines:

[tex]m1 * m2 = -1[/tex]

[tex]m1 = 1/5\\m2 = -5\\so, m1*m2 = -1\\[/tex]

they are perpendicular

2) they are perpendicular

3)  they are intersecting lines

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The null and alternative hypotheses are:

H₀ : µ ≥ 280

Hₐ : µ < 280

It would be claiming µ < 280  when the new method does not lower costs. This mistake could result in implementing the method when it would not lower costs.

It would be claiming µ ≥ 260 when the method really would lower costs. This mistake could result in not implementing a method that would lower costs.

We know that the type 1 occurs when we reject the null hypothesis when it is true and the type 11 error occurs when we do not reject the null hypothesis when it is not true. For the given scenario, the type 1 error is to reject the null and conclude that new method not lower costs, when actually it lowers.

Hence we get the required answer.

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The two levels of correlation coefficients are as follows:

A correlation coefficient less than -0.7.

A correlation coefficient greater than +0.7.

A correlation coefficient is a statistical degree of the diploma to which modifications to the fee of 1 variable expect alternate to the fee of another. In definitely correlated variables, the fee will increase or decreases in tandem.

The two levels of correlation coefficients are as follows:

A correlation coefficient less than -0.7.

A correlation coefficient greater than +0.7.

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Rev is seeking independent contractors with extensive experience in audio transcription and translation. After the projects are finished, they frequently grade the work of the employees. One needs to be quick on the keyboard, attentive, comprehend appropriate punctuation, have a solid command of language and spelling, be able to pick up the format of the transcription, and be a critical thinker in order to work with them on a consistent basis. These are the characteristics Rev is seeking for in a freelancer.

Rev.com generally serves as a liaison between businesses and freelancers. One of the jobs that may be done from home carefully screens all of its applicants. The business ensures that they only employ the best individuals for their workforce. It strives to provide independent contractors with a setting where they may develop and display their talents. They can socialize with other independent contractors as a result.

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Answer: For problem a is 16 and problem b is 34 i wasn't sure which problem it was so i did both

Step-by-step explanation:

problem a                                                    problem b

(6²-4)/2                        or                              6²-4/2

     |                                                                      |

[tex]6^2=36\\[/tex]                                                            [tex]6^2=36[/tex]

36-4=32                                                         36-4/2

32/2=16                                                          36-2=34

   16                                                                    34

The (a + 2b + c)(a - c) is the product of the expression (a + b)² - (b + c)² using difference of two squares.

Considering two numbers a and b, the difference of their squares written as a² - b² is equal to the the product of the sum of the numbers and the difference of the numbers, that is (a + b)(a - b).

We have from the question two squares which are (a + b)² and (b + c)² and we shall express their difference as a product as follows:

(a + b)² - (b + c)² = [(a + b) + (b + c)][(a + b) - (b + c)]

open brackets and simplify;

(a + b)² - (b + c)² = (a + b + b + c)(a + b - b - c)

add and subtract like terms;

(a + b)² - (b + c)² = (a + 2b + c)(a + b - b - c)

(a + b)² - (b + c)² = (a + 2b + c)(a - c)

In conclusion, we have that (a + 2b + c)(a - c) is the product of the expression (a + b)² - (b + c)² that is a difference of two squares.

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Using the slope-intercept form of the equation of a line, the correct statement are:

The slope of the line is 5/3

The y-intercept of the line is 0

From the question, we are to determine the statements about the given line that are correct

The given equation is

y/x = 5/3

To determine the statements that are correct, we will write the equation of the line the slope-intercept form of a line

The slope-intercept form of a line is given by

y = mx + b

Where m is the slope

and b is the y-intercept

Writing the equation in the slope-intercept form

y/x = 5/3

y = 5/3(x)

By comparing with the slope-intercept form of a line,

m = 5/3

c = 0

Thus,

The slope is 5/3

and the y-intercept is 0

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A range of values estimated to have a high probably of containing the population value is called Confidence interval.

A confidence interval is a range of values that is likely to contain the true value of a population parameter, such as a mean or proportion. The degree of confidence associated with a confidence interval is the probability that the population parameter falls within the range of the confidence interval.

Population parameter : In statistics, a population parameter is a numerical measure of a population, such as its mean, variance, or proportion of a certain characteristic. It is usually estimated from a sample of the population and is usually not known precisely.

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Answer:

x=- 5

Step-by-step explanation:

A vertical  line has an undefined slope (the rise is divided by zero, since there is no change in x.  x is always -5.

The required equation of the vertical line will be x = -5 which passes through the points (-5,-2).

The equation of a vertical line is of the form x = k, where k is the x-coordinate of the point through which the line passes.

The equation is defined as a mathematical statement that has a minimum of two terms containing variables or numbers that are equal.

We know that a vertical line's equation is x = k, where k is the x-coordinate of the point at which the line crosses.

As per the given question, the line passes through the point (-5, -2), so the equation of the line is x = -5.

A vertical line has an undefined slope (since there is no change in x, the rise is divided by zero). x is always a negative five number.

Therefore, the required equation of the vertical line will be x = -5.

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Answer:

7/8

Step-by-step explanation:

2/3 * 1 5/16 =

2/3 * (1 + 5/16)=

2/3 * (16/16 + 5/16)=  -> common denominator numbers are easy to simplify

2/3 * (16+5)/16 =

2/3 * 21/16=

(2*21)/(3*16)=

42/48=

21/24=7/8

The graph of inequality 7 ≤  y  - 3x < 11 is attached below.

Inequalities specify the relationship between two values that are not equal. Equal does not imply inequality. Typically, we use the "not equal sign" to indicate that two values are not equal.

Given:

The inequality =  7≤ y -3x < 11

Therefore, the graph of inequality 7 ≤  y  - 3x < 11 is attached below.

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Answer:

bro fr has the nicest notes not just for the points but like actually