The set of all possible values of the independent variables (x) in a function is called domain. The set of all possible values of the idependent variables (y) in a function. A graph of a function can be used to find its domain. If a value is outside the domain of a function, we can not use it in calculations of that function.

a. The scatter diagram indicates that the Number of Defective Parts found increases with Line Speed

b. The regression model is Y = 27.5 - 0.3·X

c. When the line speed is 25 feet per minute, the number of expected defective parts is 20 defective parts.

According to the Question:

The give data is presented as follows'

Line Speed;                   20,   20,    30,    30,    40,    40,    50,     50

Number of Defective;   23,    21,     19,     16,     15,     17,     14,       11  

Now,

1. From the scatter diagram there is an apparent correlation between increase line speed and the number of defective parts found.

2. The equation for linear regression by the least squares method is presented as follows;

   Y = a + b·X

Where;

b = N ∑XY - (∑X) (∑Y) / N ∑X² - (∑X)²     -------------------- (1)

and

a = ∑Y - b ∑X / N                          ---------------------------- (2)

Now, after calculation, we have;

∑X = 280, ∑Y = 136, ∑X² = 10,800, ∑XY = 4,460, (∑X)² = 78,400, N = 8

Putting in equation (1) and (2), we get;

b = (8×4460 - 280×136) / (8×10,800 - 78,400) = -0.3

and,

a = (136 - (-0.3)×280)/8 = 27.5

Therefore, we have the linear regression as follows;

                 Y = 27.5 - 0.3·X

Therefore, when the line speed is 25 feet per minute, we have;

Y = 27.5 - 0.3 × 25 = 20

The number of defective parts expected to be found when the line speed is 25 feet per minute, Y = 20 defective parts.

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Answer:

y=8

Step-by-step explanation:

3y+5y=64

8y=64

y=8

Answer: Y=8

Step-by-step explanation:

Add 3y + 5y which equals 8y

Divide the 8y by 64

64/8 = 8

So y = 8

By using the concept of percentage, the complete table has been shown below

What is percentage?

Suppose there is a number and the number has to be expressed as a fraction of 100. The fraction is called percentage. For example 13% means [tex]\frac{13}{100}[/tex]. Here 13 is expressed as a fraction of 100.

For marble

Lily's Measurement = 90 cm

Actual Measurement = 90 + 10 = 100 cm

Absolute difference = 10 cm

Percent error = [tex]\frac{10}{100} \times 100[/tex] = 10 %

For granite

Lily's Measurement = 65 cm

Actual Measurement = 50 cm

Absolute difference = 15 cm

Percent error = [tex]\frac{15}{50} \times 100[/tex] = 30 %

For concrete

Lily's Measurement = 30 + 6 = 36 cm

Actual Measurement = 30 cm

Absolute difference = 6 cm

Percent error = [tex]\frac{6}{30} \times 100[/tex] = 20 %

                           Marble                   Granite                      Concrete

Lily's

Measurement          90 cm                   65 cm                       36

Actual

Measurement         100 cm                  50 cm                       30

Absolute

Difference               10 cm                    15 cm                         6

Percentage

Error                        10%                        30%                           20%

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Complete Question

The table has been attached

C. A reflection across the x-axis followed by a translation of 1 unit right and 1 unit down

Preimage Points are:

A(-4,1) B(-6,5) C(-1,2)

Image points are:

D(-2, 3) E(-5, -6) F(0, -3).

What is reflection:

A reflection is referred to as a flip in geometry. A reflection is the shape's mirror image. A line, called the line of reflection, will allow an image to reflect through it. Every point in a figure is said to reflect the other figure when they are all equally spaced apart from one another. The reflected image should be the same size and shape as the original, but it faces the opposite way. Changes in position during reflection may also result in translation. Pre-image and image are terms used to refer to the same thing in this context.

So in our Questions reflection across the x axis will negate the y coordinate of each point this will map

A(-4, 1)→(-4, -1)

B(-6, 5)→(-6, -5)

C(-1, 2)→(-1, -2)

We can see that each x-coordinate is 1 lower and each y-coordinate is 1 higher than the image points by comparing these points to the points in DEF. This means that we should translate 1 unit to the right and 1 unit to the bottom to subtract 1 from each x-coordinate and 1 from each y-coordinate.

Given Question is incomplete complete question here?

What series of transformations from △ABC to ​ △DEF ​ shows that △ABC≅△DEF ?

A . a reflection across the y-axis followed by a translation of 1 unit right and 2 units up

B . a clockwise rotation of 90° about the origin followed by a translation of 4 units right and 4 units up

C. a reflection across the x-axis followed by a translation of 1 unit right and 1 unit down

D . a reflection across the line y = x followed by a positive rotation of 270° about the center

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The measure of angle XBC is 18°.

Given that, ray BX is an angle bisector of angle ABC.

The angle bisector in geometry is the ray, line, or segment which divides a given angle into two equal parts.

Here,

m∠ABX = 2y+10, and m∠ABC = 10y-4

Now, m∠ABC = m∠ABX + m∠XBC

m∠ABX = m∠XBC

⇒ 10y-4 = m∠ABX+m∠ABX

⇒ 10y-4 = 2∠ABX

⇒ 10y-4 = 2(2y+10)

⇒ 10y-4 = 4y+20

⇒ 10y-4y = 20+4

⇒ 6y = 24

⇒ y=4

So, m∠XBC=2y+10

= 18°

Therefore, the measure of angle XBC is 18°.

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The symbol ∠ is used to denote an angle. The symbol m ∠ is sometimes used to denote the measure of an angle.

x = 15

∠H = 82

∠I = 49

∠G = 49

Note that side HG and side HI are congruent ( indicated by the little dashed line ) which means that their opposite angles are congruent ( ∠I and ∠G to be more specific. )

Angles in a triangle add up to equal 180°

Hence, 3x + 37 + 2 ( 4x - 11 ) = 180 ( note that the 2 in 2(4x - 11) came from angles I and G being congruent )

We now solve for x

3x + 37 + 2 ( 4x - 11 ) = 180

step 1 distribute the 2 to the 4x and -11

2 + 4x = 8x

-11 * 2 = -22

we now have 3x + 37 + 8x -22 = 180

step 2 combine like terms

3x + 8x = 11x

37 - 22 = 15

we now have 11x + 15 = 180

step 3 subtract 15 from each side

15 - 15 cancels out

180 - 15 = 165

we now have 11x = 165

step 4 divide each side by 11

11x / 11 = x

165 / 11 = 15

we're left with x = 15

Our final step is to find the measures of ∠G, ∠H and ∠I

We can do this by simply replacing x with 15 in their given expression

∠H = 3x + 37

* substitute 15 with x *

3 ( 15 ) + 37

3 * 15 = 45

45 + 37 = 82

Hence, ∠H = 82

∠I = 4x - 11

* substitute x with 15 *

4(15) - 11

4 * 15 = 60

60 - 11 = 49

Hence, ∠I = 49

Like stated previously ∠G and ∠I are congruent

Hence, ∠G = 49

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The value of a is 5 on x- axis.

The pair of numbers that use the horizontal and vertical separations from the two reference axes to define a point's location on a coordinate plane. typically expressed by the x-value and y-value pair (x,y).

Given:

From the Graph we can mark the Coordinates.

One which the marked coordinates is (a, b) where is located at x- axis and y is located at y- axis.

Then, From the Figure we can see that a lies in between Coordinates (3, 3) and (6, 0) and close to a.

Hence, the value of a is 5 on x- axis.

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Answer:

Step-by-step explanation:

the second one

The value of the change in elevation is -42 meters

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

Expression = 3(4)(-3.5)

The above expression represents his change in elevation in meters after 3 hours

So, we have the following representation

Change in elevation = 3(4)(-3.5)

Remove the brackets and express them as products

So, we have the following representation

Change in elevation = 3 * 4 * -3.5

Evaluate the products

So, we have the following representation

Change in elevation = 12 * -3.5

Evaluate the products

So, we have the following representation

Change in elevation = -42

This represents the change in elevation

Hence, the change in elevation is -42 meters

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The completed relative frequency table is given by the image shown at the end of the answer.

First we look at the row total of people who like to fly, which is of 70%, hence:

Amount those who can drive, we have that:

Amount those who cannot drive, we have that:

Thus the total frequency of the second row is given as follows:

0.17 + 0.13 = 0.30.

The table is given by the image shown at the end of the answer. I don't know if the values are the same but you will have to follow the same procedure to obtain the missing values.

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Answer:

I took the test

the answer is in the image below

Step-by-step explanation:

Answer:

___And Its Name Is Half Circle

The angle of an equilateral triangle is 60°.

Equilateral triangle:

An equilateral triangle is a triangle with all three sides of equal length , corresponding to what could also be known as a "regular" triangle. An equilateral triangle is therefore a special case of an isosceles triangle having not just two, but all three sides equal. An equilateral triangle also has three equal.

Here we have to find each angle of the triangle.

Data given:

sides of an equilateral triangle = 10inches

As it is clear from the definition that the angle of an equilateral triangle is equal.

Let's consider the triangle as ABC.

∠A + ∠B + ∠C = 180°

As the angle are equal so we take

∠A = ∠B = ∠C

So we have;

3∠A = 180°

∠A = 60°

Therefore the angle of the triangle is 60°.

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It is partially true that the problem with measurement is that researchers cannot account for errors statistically.

During measurements, there is a huge possibility that an error will occur and even no result or measurement can be 100% accurate. This happens due to many factors like mistakes, approximations, and other physical factors.

Coming to the statement, definitely researchers cannot account for errors. This is true, but this is not a problem since it is something that will, for sure, occur. The major goal is towards minimizing it.

So, the given statement is partially true.

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Answer:

46

Step-by-step explanation:

because it is ...... maybe

The minimal Length of network to cover the entire neighborhood is 1200 yard , the correct option is (d) .

In the question ,

a table of of distance between the 6 cities is given ,

we have to find the minimal length in which all the neighbor hood can be connected .

From the table we can see that ;

the minimum distance to connect the house 1 to house 2 = 100 yards.

the minimum distance to connect the house 3 is from 2 to 3 = 300 yards.

the minimum distance to connect the house 4 is from 2 to 4 = 250 yards.

the minimum distance to connect the house 5 is from 4 to 5 = 300 yards.

the minimum distance to connect the house 6 is from 4 to 6 = 250 yards.

On adding all the distance ,

we get , the minimum distance = 100 + 300 + 250 + 300 + 250 = 1200 yards .

Therefore , the minimal length of the network is 1200 yards .

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For an initial Bacteria population of 8000 to reach 12000 bacteria it will take almost 4 hours.

Bacterial culture growth is defined as an increase in the number of bacteria within a population rather than an increase in the size of individual cells. Bacterial population growth occurs geometrically or exponentially. In each cycle of division (generation), the cell develops into 2 cells, then 4 cells, then 8 cells, then 16 cells, then 32 cells. The time required for generation formation, generation time (G), can be calculated using the following formula:

G = 1/n = [tex]\frac{t}{3.3logb/B}[/tex]

where B is the number of bacteria at the start of observation, b is the number of bacteria present after period t, and n is the number of generations. This relationship indicates that the average generation time is constant and the rate of bacterial population growth is proportional to the number of bacteria at any given time point. This relationship holds only during periods of exponential population growth called logarithmic growth.

According to the question:

2^(t/6) = 12000/8000 = 1.5

t = 6log1.5/log2

 = 3.6 hours

Round up, since in 4 hours it will double to 12,000.

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Assume that you have laid out the namecards for 14 people, and you want to hide 4 golden tickets, at most one under each namecard. The total number of ways = 784

From the question, we have

The total number of people in each party = 8

The total number of winners in each party = 2

The total number of ways of selecting two winners from 8 people  = P(8,2) = 28

The total number of ways of selecting two winners from each political party = 28*28 = 784

The total number of ways = 784

Multiplication:

To determine the sum of two or more numbers, mathematicians multiply the numbers. It is a basic mathematical procedure that is widely used in daily life. Multiplication is used when we need to mix groups of like sizes. Multiplication is a representation of the underlying idea of adding the same number repeatedly.

The outcome of multiplying two or more numbers is referred to as the product of those numbers, and the factors are the quantities that are multiplied. Multiplying the numbers makes it simpler to add the same number repeatedly.

Complete question:

In celebration of Chinese new year, you are arranging name cards for 16 people to sit around this table. Since the cards are placed on the rotating lazy Susan, the specific chair of a guest does not matter, only who is to their left and right. That is, two namecard arrangements are considered different iff there is a guest whose person on their right or left changes. Now when you hide four golden tickets under the placed name cards, you want to ensure that each party has two winners. In how many ways can you choose to do so?

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Answer:

not really sure but it could be a

Answer:

The bigger the denominator the less the value will be.

Just for clarification of what he said.

104 degrees is the measure of angle U.

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

Given that a  quadrilateral STUV is inscribed in circle W

We need to find the measure of U.

A quadrilateral is a four-sided polygon, having four edges and four corners.

In quadrilateral the sum of opposite angles should be equal to 180 degrees.

Let the measure of U is x.

∠S+∠U=180

76+x=180

Subtract 76 from both sides

x=180-76

x=104

Hence, the measure of U is 104 degrees.

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according to the question,

given data in the question'

there are 51 houses on a street'

each hoses has an address between 1000 and 1099

There are 51 residences and 1000 possible addresses, according to the pigeon hole principle. There must be at least one address between each house in order for there to be no houses with consecutive addresses. To do this, only give houses even numbers (leaving odd addresses as the buffer address)

Giving houses even numbers (leaving odd addresses as the buffer address) There are now 1000=50 addresses that can be used.

According to the pigeon hole principle, there must be at least one box that contains at least N

k things if N objects are put into k boxes.

Because of this, it is impossible to assign 50 distinct addresses to 51 separate homes without utilising a single consecutive integer.

So, at least one instance of a home must have consecutive integers, which.

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There are 2 houses that have at least consecutive integers .

According to the pigeonhole principle, at least one container must hold more than one item if n things are placed into m containers, where n > m.

According to the pigeonhole principle, if there are more pigeons than there are pigeonholes, then at least one pigeonhole must hold more than one pigeon. Although the underlying idea is clear, the ramifications are staggering. The explanation is that the principle establishes the reality (or absence) of a certain phenomena.

There are potential residences and addresses. There must be at least one address between each house in order for there to be no houses with consecutive addresses. To do this, only give houses even numbers (leaving odd addresses as the buffer address)

Houses are given even numbers, leaving odd addresses as the buffer address. As a result, we now have

50

addressable addresses

According to the "pigeon hole concept," if items are put into boxes, then there must be at least one box that contains at

[N/k]object.

As a result, it is impossible to assign distinct addresses to several dwellings without using at least one consecutive number.

Since there must be at least two homes with consecutive integer addresses, there must be at least one instance of consecutive integer addresses for houses.

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Alec buy 4 units of orange bucket and 10 units of teal bucket.

What is system of equations?

A set of one or more equations involving numerous variables is referred to as a system of equations. The variable mappings that satisfy all component equations are the solutions to systems of equations, or the points where the components of these equations intersect.

According to the given information, let us denote the quantity of orange bucket be x and teal bucket by y.

Therefore,  budget constraints would be:

10x + 3y = 70       ..(1)

It is also given that total number of bucket is 14, such that:

x + y = 14             ..(2)

From equation (2),

x = 14 - y

Plug x = 14 - y in equation (1)

10(14 - y) + 3y = 70

140 - 10y + 3y = 70

        140 - 7y = 70

                 7y = 140 - 70

                 7y = 70

                   y = 10

Plug y = 10 in x = 14 - y

⇒ x = 14 - 10

   x = 4

Hence,  Alec buy 4 units of orange bucket and 10 units of teal bucket.

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The amount of money in her account after five years will be $1,292.74.

A loan or deposit's interest is computed using the starting principle and the interest payments from the ago decade as compound interest.

We know that the compound interest is given as

A = P(1 + r)ⁿ

Where A is the amount, P is the initial amount, r is the rate of interest, and n is the number of years.

A long time back Patricia put 1200 in a saving record with a 1.5% financing cost. Then the amount of money in her account after five years will be given as,

A = $1,200 × (1 + 0.015)⁵

Simplify the expression, then we have

A = $1,200 × (1.015)⁵

A = $1,200 × 1.07728

A = $1,292.74

The amount of money in her account after five years will be $1,292.74.

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Answer:

We can set up the following equation:

Excel Cable Company fee = Best Cable Company fee

32 + 8x = 26 + 10x

Here, x represents the number of premium channels. We can solve for x by subtracting 26 from both sides and then dividing both sides by 2 to get:

6 + 6x = 10x

6 = 4x

x = 6/4

x = 1.5

Therefore, the total monthly subscription fee for the Excel and Best cable companies will be the same for 1.5 premium channels. Note that this is not a whole number, so it is not possible for the subscription fees to be the same for a whole number of premium channels

Answer: 3 channels

Step-by-step explanation:

The ECC has an initial fee of $32.00 with a $8.00 fee for each channel, so we can label that as Total = 8(x) + 32.00.

The BCC has an initial fee of $26.00 with a $10.00 fee for each channel, so we can label that as Total = 10(x) + 26.00.

Since we want to find how many premium channels each company needs till the monthly subscription rate will be equal, we can set those equal to eachother.

8x + 32.00 = 10x + 26.00

2x = 6

x = 3, so when each company has 3 premium channels used, the prices will be the same.

Answer:

To find the product of 5 x 10^3 and 9 x 10^7, we need to multiply the two numbers. The first step is to multiply the two numbers without the exponents, which gives us 5 x 9 = 45. Next, we need to add the exponents to find the exponent of the final product. 10^3 and 10^7 have exponents of 3 and 7, respectively, so the final exponent is 3 + 7 = 10. This means that the final product is 45 x 10^10, or 4.5 x 10^11 in standard form.

Step-by-step explanation:

The appropriate number of significant figures for the calculation of 7.5 + 2.26 + 1.311 + 2 is equivalent to 10.

Significant figures:

Any non-zero number is significant. The number 33.2 has 3 significant digits because all digits present are non-zero.

Zeros between two non-zero numbers are valid. 2051 has 4 significant digits. Zero is between 2 and 5.

For numbers in exponential notation:

N x 10x, all numbers spanning N are valid. "10" and "x" are not important. 5.02 x 10^4 has 3 significant digits.

"5.02." "10" and "4" are not important.

Provides the ability to change the precision of a value by manipulating its shape. For example, write 1100 with 3 significant digits. 1100 has 2 significant digits. The trailing two zeros are not significant. Adding a decimal at the end brings the number to the 1100th significant digit (according to rule 5).

We can create a 3-significant digit of 1.10 x 10^3.

In the question of adding all we get,

7.5 + 2.26 = 9.76

9.76 + 1.311 + 2

9.76 + 1.311 = 11.071

11.071 + 2

11.071 + 2 = 13.071

13.071

Round 13.071 → 13

This is because the total sum of the numbers gives a value of 13.071.

However, the number '2' has only one significant figure.

Therefore, we need to restrict our solution to one significant figure.

Therefore, on rounding off the solution becomes '10' with only one significant figure.

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Answer:

-10

Step-by-step explanation:

i just did it