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When taking samples or subgroups from a process, we want assignable causes occurring between the subgroups.

This is because assignable causes that occur between the subgroups indicate that there is a difference between the subgroups that can be identified and potentially corrected.
If assignable causes occur within the subgroups, it is more difficult to identify the source of the variation and take corrective action. By having assignable causes occur between the subgroups, we can more easily identify the source of the variation and take corrective action to improve the process.
In summary, when taking samples or subgroups from a process, it is preferable for assignable causes to occur between the subgroups so that the source of the variation can be identified and corrective action can be taken.

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Answer:

y= -1/2x + 1/2

Step-by-step explanation:

First, use the point-slope formula: y-y1 = m(x-x1)

y-2 = -1/2(x-(-3))

y-2= -1/2x + -1.5

(subtract 2 from both sides)

y = -1/2x + 1/2

your answer will be y = |x + 3|

(b) √29 is between 5 and 6. You can approximate it by finding the perfect squares that are closest to 29: 25 (5^2) and 36 (6^2). √29 is between 5 and 6 since 5^2 < 29 < 6^2

(c) √54 is between 7 and 8. You can approximate it by finding the perfect squares that are closest to 54: 49 (7^2) and 64 (8^2). √54 is between 7 and 8 since 7^2 < 54 < 8^2.

The surface area of the composite solid is 400 inch square.

Surface area are derived for some standard shapes like circle, triangle, parallelogram, rectangle, trapezoid, etc.

When some shape comes which is not standard figure, then we find its area by slicing it (virtually, like by drawing lines) in standard shapes. Then we calculate those composing shapes' area and sum them all.

Thus, we have:

\(\text{Area of composite figure} = \sum (\text{Area of composing figures})\)

That ∑ sign shows "sum"

We are given that;

The dimensions of figures

Total Surface Area = Area of front + Area of top + Area of Back + 2 × Area of side + Area of bottom

Area of Front = Area of Square + Area of rectangle

= 10 × 10

= 100 in.²

Area of top = Area of Rectangle

= 13 × 10

= 30 in.²

Area of back =  Area of square in down + Area of rectangle in up

= 10 × 10 + 5 × 10

= 100 + 50

= 50 in.²

Area of the bottom = Area of the rectangle

=12 × 10

= 120 in.²

Area of the side = Area of rectangle + Area of the triangle

= 12 × 10 + 1/2 × 5 × 12

= 150 in.²

Total Surface Area = 100 + 30 +50 + 120 + 2 × 150

= 200 + 300

= 600 in.²

Therefore, by the area the answer will be 400 inch square.

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There are 2,139,792,767,488,000 ways to assign scores to the problems if the sum of the scores is 100 and each question is worth at least 5 points.

To solve this problem, we will use the concept of combinations with repetition.

First, let's subtract 5 points from each question, since each question is worth at least 5 points. Now, we need to distribute the remaining 50 points (100 - 10*5) among the 10 questions.

Imagine that we have 50 identical balls (points) to distribute among 10 distinct boxes (questions). To do this, we can use a technique called "stars and bars". We need to place 9 dividers (bars) between the 50 balls (stars) to divide them among the 10 questions.

We will have a total of 59 positions (50 stars + 9 bars). We need to choose 9 of these positions for the bars, and the stars will fill the remaining positions.

The number of ways to do this is given by the combination formula:

C(n, k) = n! / (k! * (n - k)!)

In our case, n = 59 (total positions) and k = 9 (dividers). So, we need to calculate C(59, 9):

C(59, 9) = 59! / (9! * (59 - 9)!)
C(59, 9) = 59! / (9! * 50!)
C(59, 9) = 2,139,792,767,488,000

Therefore, there are 2,139,792,767,488,000 ways to assign scores to the problems if the sum of the scores is 100 and each question is worth at least 5 points.

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A/an database schema diagram can be used to show how the tables in a database are defined and related.

This type of diagram provides a visual representation of the structure and organization of the database. It illustrates the tables ,and  their attributes, and the relationships between them.

The database schema diagram helps in the  understanding the logical design of the database, including primary keys, for  foreign keys, and the connections between different tables. It allows developers, database administrators, and stakeholders to visualize the database structure and serves it as a reference for in  designing, modifying, and querying the database effectively.

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The statement which is true about the two equilateral triangles is b)The two triangles are the same shape but not the same size. So, correct option is b.

In calculation, a symmetrical triangle is a triangle where every one of the three sides have a similar length. In the natural Euclidean calculation, a symmetrical triangle is likewise equiangular; that is, every one of the three inward points are additionally compatible to one another and are each 60°. It is likewise an ordinary polygon, so it is additionally alluded to as a normal triangle.

Some of hypotheses which are made sense of utilizing symmetrical triangle:

The side length of the primary symmetrical triangle is 3 inches.The side-length of the second symmetrical triangle is 4 inches.Since both the triangles are symmetrical triangles, in this way they have same shape.

Be that as it may, the two triangles have different side lengths in this way they have different size.

Hence, option b is correct.

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(Complete question) is:

on a piece of paper, use a protractor and a ruler to construct two equilateral triangles: one with a side length of 3 inches and one with a side length of 4 inches. which statement is true about the two triangles?

a. The two triangles are the same size but not the same shape.

b. The two triangles are the same shape but not the same size.

c. The two triangles are the same size and same shape.

d. It is impossible to construct equilateral triangles with these side lengths.

Answer:

$189.60

Step-by-step explanation:

0.45×88=39.6

39.6+150=189.60

Answer:2

2

+

6

=

3

2

2

+

6

=

3

Step-by-step explanation:

Answer:

1:3:5

Step-by-step explanation:

\(\frac{7}{7}=1\\\\\frac{21}{7}=3\\ \\\frac{35}{7}=5\)

1:3:5

Answer:

The commutative property of addition means that it does not matter what order in which you add numbers. You will get the same answer either way. It is represented as a + b = b + a, in which a and b are real numbers. However, the property is not limited to two numbers.

1) Rearrange terms

3 + 5m = 5m + 3

5m + 3 = 5m + 3

2) Subtract 3 from both sides

5m + 3 = 5m + 3

5m + 3 - 3 = 5m + 3 - 3

3) Simplify

- Subtract the numbers

5m + 3 - 3 = 5m +  3 - 3

5m = 5m + 3 - 3

- Subtract the numbers

5m = 5m + 3 - 3

5m = 5m

4) Subtract 5m from both sides

5m = 5m

5m - 5m = 5m - 5m

5) Simplify

- Combine like terms

5m - 5m = 5m - 5m

0 = 5m - 5m

- Combine like terms

0 = 5m - 5m

0 = 0

This means it has infinite solutions.

But the commutative property addition have been shown.

Answer:

(-4,-9)

Step-by-step explanation:

vertex form: y=a(x-h)^2+k

hk=vertex of x and y

inside parentheses=horizontal (opposite signs)

that’s why it’s -4 instead of 4 for h (x) while -9 stays the same since it’s not inside the parentheses

Answer:

The relationship is proportional. The slope or the constant of proportionality is 5. So the answer is the second option.

Step-by-step explanation:

The proportion that could be used to find the width of Grace's model car is 1/2 = Model width / 12 inches.

To find the width of Grace's model car, a proportion can be set up using the lengths of the actual car and the desired model:

Proportion: Actual width / Actual length = Model width / Model length

Given values:

Actual length = 8 feet

Actual width = 4 feet

Model length = 12 inches

Converting the units:

12 inches = 1 foot (since 1 foot = 12 inches)

Substituting the values into the proportion:

4 feet / 8 feet = Model width / 12 inches

Simplifying the proportion:

1/2 = Model width / 12 inches

To find the model width, cross-multiply and solve for the unknown:

Model width = (1/2) * 12 inches = 6 inches

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Answer:

d.9360

Step-by-step explanation:

if it was c the hours wouldve probably been 23 hr or 24hr

10?and the rest of the 22 can't fit i think

Answer: 4 days

Step-by-step explanation:

Answer:

I'm sorry I don't have the answer but I'm sure someone will help you

Step-by-step explanation:

im really sorry

To see the steps of linear and non linear system of equation.

Now, According to the question:

Steps to solve non linear equation are:

To solve a system of linear equations using substitution:

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Answer:

D

Step-by-step explanation:

0.1m is one tenth of the the total which is the ratio for all the other ones so it would be

0.1m=20

hope that helps if it does plese mark as brainliest.

Answer: A

Step-by-step explanation:

The amount of money he puts on his savings account is 10% of what he makes.

So the answer would be m = 20(0.10)

Answer:

Step-by-step explanation:

GOOD LUCK!

Answer:

-11x+12

Step-by-step explanation:

(x^2-4x+3)-(x^2+7x-9)

x^2-x^2-4x-7x+3-(-9)

-11x+3+9

-11x+12

Answer:

There is no error in the visible part of the subtraction provided. If I'm not mistaken though, I believe I see the start of a truncated equals sign on the right.  I assume by this that you are not including the full image.

As I said though, there is no error in the image provided.   Completing the statement we get:

(x² - 4x + 3) - (x² + 7x - 9) = -11x + 12

Answer:

The angle of DGC is 90 degrees

the value of x is positive 8

Step-by-step explanation:

xoxo brooke

Step-by-step explanation:

-6x^2 -8x +2x-8 = -6x^2 -6x -8

it's a quadratic.

Answer:

\(V=34.64\ cm^3\)

Step-by-step explanation:

Given that,

The side of an equilateral prism = 4 cm

The altitude of the prism = 5 cm

We need to find the volume of the prism. The formula for the volume of a prism is as follows :

\(V=A\times h\)

Where

A is the area of equilateral triangle, \(A=\dfrac{\sqrt3}{4}a^2\)

So,

\(V=\dfrac{\sqrt3}{4}a^2\times h\\\\V=\dfrac{\sqrt3}{4}\times 4^2\times 5\\\\V=34.64\ cm^3\)

So, the volume of the prism is equal to \(34.64\ cm^3\).

The equation for the parabola with a focus at (-4,8) and a directrix at x=-6 is ( y - 8)² = 4( x +5 ).

Given that x = -6, it means the directrix is horizontal.

Equation of parabola that opens left or write is expressed as;

( y - k )² = 4p( x - h )

Given that;

First, we find the vertex.

The vertex( h, k ) is halfway between the directrix and the focus.

Hence, x coordinate of the vertex is;

x = ( x coordinate of focus + directrix ) / 2

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

x = -10/2

x = -5

y coordinate of the vertex will be the same as that of the focus.
y = 8

Hence vertex will be;

( -5, 8 )

Next, we find the distance p from the focus to the vertex and from the vertex to the directrix.

Subtract x coordinate of vertex from x coordinate of focus.

p = -4 - ( -5 )

p = -4 + 5

p = 1

Now, we substitute these values into the equation.

( y - k )² = 4p( x - h )

( y - (8) )² = 4(1)( x - (-5) )

( y - 8)² = 4( x +5 )

Therefore, the equation for the parabola with a focus at (-4,8) and a directrix at x=-6 is ( y - 8)² = 4( x +5 ).

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