Find the equation for the line of best fit.
1.
X235
7
11
16
24
Equation:
quation
r value:
y
5.8
4.55
2.05
-.45
-5.45
-11.7
-21.7

If we find the decimal values of 1/9,2/9 and so on then we will get 1/9=0.11,2/9=0.22,3/9=0.33,4/9=0.44,5/9=0.55,6/9=0.66,7/9=0.77,

8/9=0.88,9/9=1.

Given some values in which the denominator is 12 and we are required to find the values of numbers whose denominator is 9.

Decimal expansion is basically representation of a non-negative real number r is its expression as a sequence of symbols consisting of decimal digits traditionally written with a single separator.

1/9=0.11

2/9=0.22

3/9=0.33

4/9=0.44

5/9=0.55

6/9=0.66

7/9=0.77

8/9=0.88

9/9=1

Hence if we find the values of 1/9,2/9 and so on then we will get decimals of 1/9=0.11,2/9=0.22,3/9=0.33, 4/9=0.44,5/9=0.55,6/9=0.66, 7/9=0.77, 8/9=0.88,9/9=1.

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Quality is a complex and multifaceted concept that can be difficult to define due to Subjectivity, Multi-dimensional and Context-dependent.

Subjectivity: Quality is subjective and can vary from person to person depending on their personal preferences, experiences, and expectations.

What may be considered as a high-quality product or service by one person may not be the same for another. This subjectivity makes it difficult to establish a universal definition of quality that applies to everyone.

Multi-dimensional: Quality is multi-dimensional, meaning that it involves multiple aspects such as performance, reliability, durability, safety, and aesthetics. These different dimensions of quality can be difficult to define and measure, as they often require different criteria and methods of evaluation.

Context-dependent: Quality is context-dependent and can vary depending on the specific situation, industry, or cultural norms. For example, the quality of healthcare services may be defined differently in different countries or cultures.

This context-dependency makes it challenging to create a single definition of quality that is applicable across different situations and contexts.

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Complete question is:

What are three reason why quality difficult to define.

Answer:

14

Step-by-step explanation:

The diameter is always the same as 2*the radius, so if the radius is 7, the diameter is 14.  Most of the information presented is unrelated.

Answer:

184cm

Step-by-step explanation:

to find the area of the triandles

4 times (half of 6 ) 3 = 12 divided by 2 = 6 + 6 ( because there are two right triangles making up one side ) so one side is 12cm add the other side 12 +12 = 24cm

To find the left and right sides mutipy length times width 10 x 5 = 50 add the oher side 50 + 50 = 100

To fide the bottom rectangle do the same thing but 10 x 6 = 60

so add everything together 24+100+60 = 184cm

Answer:

Volume = 14 (rounded to the nearest whole number)

Step-by-step explanation:

Volume = 4/3\(\pi r^3\)

If the diameter is 3 inches the radius will be 1.5.

If you plug that in you get

V = 4/3\(\pi 1.5^3\)

V=14.137

The volume of the baseball is 14 in³.

The volume of a sphere can be calculated using the formula:

V = (4/3)πr³

where V is the volume and r is the radius of the sphere.

We have,

Diameter = 3 inch

radius = diameter / 2 = 3 / 2 = 1.5 inches

Substituting the radius into the volume formula:

V = (4/3) π (1.5)³

V ≈ (4/3) x 3.14 x (1.5)³

V ≈ 14.13 in³

Thus, the volume of the baseball is 14 in³.

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Answer:

x = -1

y = -6

Step-by-step explanation:

7x - y = -1 -> y = 1 + 7x

7x + 3y = - 25

Put y = 1 +7x -> 7x + 3(1 +7x) = -25

-> x = -1

-> y = -6

Answer:(-1,-6)

Step-by-step explanation:

If there are 8 men and 5 women , then the number of ways of selecting a 4 people committee is 715 ways  .

The number of ways to select a committee of 4 people from a group of 13 people, where 5 are women and 8 are men, is calculated by Combination ;

where , "n" is = total number of people, "r" is = number of people to be selected,

In this case, we have:

the total number of people is = 8 + 5 ⇒ n = 13 ;

the number of committee member to be selected is "r" = 4 ;

So, the number of ways to select a committee of 4 people from a group of 13 people is  :  ¹³C₄ = 715 ways ;

Therefore, there are 715 ways to select a committee of 4 people from a group of 5 women and 8 men.

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The given question is incomplete , the complete question is

There are 5 women and 8 men is a department . Find the Number of ways can a committee of 4 people be selected ?

On solving the provided question, we can say that the linear equation from the relation is: y = x + (-7) => y = x - 7

A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.

The equation can be found using the slope-intercept form of a line, y = mx + b, where m is the slope and b is the y-intercept.

To find the slope (m), you can use the formula: m = (change in y) / (change in x)

For the points (15, 8) and (16, 9), the change in y is 9 - 8 = 1 and the change in x is 16 - 15 = 1, so m = 1/1 = 1.

To find the y-intercept (b), you can use one of the points and the slope to solve for b. For example, using the point (15, 8), substitute x = 15 and y = 8 into the equation y = mx + b, and solve for b:

8 = 1 * 15 + b

8 = 15 + b

b = 8 - 15

b = -7

So, the equation from the relation is:

y = x + (-7)

y = x - 7

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Answer:

\(6\frac{4}{7}\)

Step-by-step explanation:

Hello,

I am going to start with to change to a improper fraction:

1. I will convert 6 and 9/10 into a improper fraction:

\(69/10\)

2. Now that I have converted the mixed fraction into a improper I can multiply the numerator and the denominator.

\(69 * 20 / 21 * 10 = 1380/210\)

3. Now I can simplify this value and convert it into a mixed fraction

\(46/7\)

After further simplifying I can convert this into an mixed number

\(6\frac{4}{7}\)

Answer:

rises sharply on the right

Step-by-step explanation:

Table C represents a linear relationship that is also proportional. This is because the ratio of the output (y) to the input (x) is always constant, which is a characteristic of proportional relationships.

What is a linear equation?

A linear equation is an algebraic equation that represents a straight line on a graph. In general, a linear equation takes the form:

y = mx + b

A linear relationship between two variables, x and y, is one in which the change in y is directly proportional to the change in x. This means that for any change in x, there is a corresponding change in y that can be expressed as a constant multiple of x.

For example, if we have a linear relationship y = mx + b, where m is the slope of the line and b is the y-intercept, then if we increase x by 1 unit, y will increase by m units. This relationship holds true for all values of x and y along the line.

A proportional relationship, on the other hand, is a special case of a linear relationship in which the ratio of y to x is always the same constant. This means that if we increase x by 1 unit, y will increase by a constant multiple of x. In other words, the relationship between x and y is one of scaling, where the size of y is always a fixed multiple of the size of x.

Therefore, Table C represents a linear relationship that is also proportional. This is because the ratio of the output (y) to the input (x) is always constant, which is a characteristic of proportional relationships.

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Complex number in trigonometric (polar) form is z = 5(cos53.13° + isin53.13°). Let's determine:

To express a complex number in trigonometric (polar) form, we need to determine its magnitude (r) and angle (θ).

The magnitude is found using the Pythagorean theorem, and the angle is determined using inverse trigonometric functions. Here's how to do it in steps:

Write the complex number in rectangular form, in the form a + bi, where a is the real part and b is the imaginary part.

Use the Pythagorean theorem to find the magnitude (r) of the complex number, which is the square root of the sum of the squares of the real and imaginary parts: r = sqrt(a^2 + b^2).

Calculate the angle (θ) using the inverse tangent (arctan) function: θ = arctan(b/a).

Convert the angle to the appropriate range, 0 ≤ θ < 360 degrees, by adding or subtracting multiples of 360 degrees if necessary.

Write the complex number in trigonometric form as r(cosθ + isinθ), where r is the magnitude and θ is the angle in degrees.

For example, if we have a complex number z = 3 + 4i:

a = 3 (real part)

b = 4 (imaginary part)

r = sqrt(3^2 + 4^2) = 5

θ = arctan(4/3) ≈ 53.13 degrees

Since the real part is positive and the imaginary part is positive, the angle is in the first quadrant.

Therefore, z in trigonometric (polar) form is z = 5(cos53.13° + isin53.13°).

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The probability that you have sandwich for lunch on a cloudy day cannot be determined without the joint probability of sandwich and cloudy.

Given that the probability that it is cloudy is 3/10, and the probability that you have a sandwich for lunch is 1/5.

The probability that you have sandwich for lunch on a cloudy day can be calculated using conditional probability rule.

Therefore, the probability that you have a sandwich for lunch on a cloudy day is:

`P(Sandwich | Cloudy)` = `P(Sandwich and Cloudy)` / `P(Cloudy)`

Now, `P(Cloudy)` = 3/10 and `P(Sandwich)` = 1/5.

The joint probability of sandwich and cloudy is not given, so it cannot be calculated.

Hence, the probability that you have sandwich for lunch on a cloudy day cannot be determined without the joint probability of sandwich and cloudy.  

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The expression as a single real number is \(\frac{1-\sqrt{3} }{2}\) .

What is trignomentry ?

Trigonometry is a branch of mathematics that deals with the relationships between the angles and sides of triangles, particularly right triangles. It is used to study the properties of triangles and to solve problems involving angles and distances in two-dimensional space.

sin(π/6)cos(π/2) - cos(π/60)sin(π/2)

The first term in the expression, sin(π/6)cos(π/2), can be simplified as follows ,

sin(π/6) = √(3)/2, cos(π/2) = 0

so sin(π/6)cos(π/2) = (√(3)/2) * 0 = 0

The second term in the expression, -cos(π/60)sin(π/2) , can be simplified as follows ,

sin(π/2) = 1, cos(π/60) = sqrt(3)/2 - 1/2

so -cos(π/60)sin(π/2) = -(sqrt(3)/2 - 1/2) * 1 = -sqrt(3)/2 + 1/2

Now we can substitute the simplified values back into the original expression ,

0 - (-sqrt(3)/2 + 1/2)

and combining like terms, \(\frac{1-\sqrt{3} }{2}\),

Hence ,  The expression as a single real number is \(\frac{1-\sqrt{3} }{2}\) .

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Answer: like math equations that equal twenty?

Step-by-step explanation:

.5 times 40

4 times 5

2 times 10

3 times 6.2/3

Just to name a few

Answer:

4 times 5

the square root of 400

10 plus 10

2 to the 2nd power plus 4

30 minus 10

40 minus 20

50 minus 30

the absolent value of -20

5 to the 2nd power minus 5.

Step-by-step explanation:

Hope it Helps?

Answer:

For the first one:

A' (-8,6)

B' (-9,10)

C' (-3,9)

D' (-2,5)

Step-by-step explanation:

Answer:

u=30

x=150

z=150

y=30

Step-by-step explanation:

u=y [ being vertically opposite angle]

x+u=180[ being linear pair]

x+30=180

x=180-30

x=150

z=x[being vertically opposite angle]

z=150

y=u[ being voa]

Answer:

=40°

Step-by-step explanation:

Sorry that's all I know

^keep safe^

The probability that the mean battery life would be greater than 1173.8 minutes is 0.9588

We can solve this problem using the central limit theorem, which tells us that the distribution of sample means from a population with a known variance becomes approximately normal as the sample size increases.

The standard error of the mean can be calculated as

SE = σ / sqrt(n)

where σ is the population standard deviation, n is the sample size

Here, we are given that the population variance is 8100, so the population standard deviation is the square root of 8100, which is 90.

SE = 90 / sqrt(72) = 10.6066

Next, we need to standardize the sample mean using the z-score formula

z = (X - μ) / SE

where X is the sample mean, μ is the population mean.

Here, the population mean is given as 1192 minutes and the sample mean we are interested in is 1173.8 minutes.

z = (1173.8 - 1192) / 10.6066 = -1.7356

We want to find the probability that the sample mean is greater than 1173.8 minutes. Since we have a negative z-score, we need to find the area to the right of this value on a standard normal distribution. We can use a z-table or a calculator to find this probability.

Using a standard normal distribution table, we find that the area to the right of z = -1.7356 is 0.9588.

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Answer:

Step-by-step explanation:

The square root of 125 is equal to 5√5 or 11.18 (approximately).

Below:- see both pictures

Answer:

The square root of 125 is between [D. 11 and 12] .

Step-by-step explanation:

To find a power series representation for the function \(f(x) = x^6 \tan^{-1}(x^3)\), we can expand the arctangent function using its power series representation and then substitute it into the expression for f(x).

The power series representation of the arctangent function is:

\(\tan^{-1}(x) = x - \frac{x^3}{3} + \frac{x^5}{5} - \frac{x^7}{7} + \ldots\)

Now, let's substitute this into the expression for f(x):

\(f(x) = x^6 \tan^{-1}(x^3)\\\\= x^6 \left[ x^3 - \frac{(x^3)^3}{3} + \frac{(x^3)^5}{5} - \frac{(x^3)^7}{7} + \ldots \right]\)

Simplifying this expression, we get:

\(f(x) = x^6 \left( x^3 - \frac{x^9}{3} + \frac{x^{15}}{5} - \frac{x^{21}}{7} + \ldots \right)\)

Now, let's write this in the form of a power series:

\(f(x)= x^9 - \frac{x^{15}}{3} + \frac{x^{21}}{5} - \frac{x^{27}}{7} + \ldots\)

We can see that the power series representation of f(x) is:

\(f(x)= \sum_{n=0}^{\infty} \frac{(-1)^n \cdot x^{3n+6}}{2n+1}\)

This power series representation holds for values of x within the interval of convergence of the series, which can be determined by examining the convergence properties of the arctangent function's power series representation.

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It will take 50.7 seconds to fill the ball to a radius of 15 centimeters.

The ball will be filled when its radius is r = 15cm, then the ball will be filled when the volume is equal to:

V = (4/3)*3.14*(15 cm)³

V = 14,130 cm³

We know that the ball has already 5,000 cm³ of air in it, so the amount of air missing is:

14,130 cm³ - 5,000cm³ = 9,130 cm³

And the air is pumped at a rate of 180 cm³ per second, so the ball will be filled after t seconds:

180*t = 9,130

t = 9,130/180 = 50.7

Yes, the ball will be filled in less than a minute.

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Answer:

Step-by-step explanation:

Answer:

f(x)=5x+25-1

8(x)- -2x-3

=30-1

=8x+6x

=29+14x

43x

The point of intersection of the two functions is (3, 27).

The system of equations is:

f(x) = 5x + 25 - 1 = 5x + 24

g(x) = 2x - 3

To solve this system, we can use the elimination method. We can eliminate the x-term by adding the two equations together.

f(x) + g(x) = 5x + 24 + 2x - 3 = 7x + 21

Solving for x, we get:

x = 21/7 = 3

Now that we know the value of x, we can plug it back into either equation to find the value of y. Let's use the equation for f(x).

f(x) = 5x + 24

f(3) = 5(3) + 24 = 27

Therefore, the point of intersection of the two functions is (3, 27).

To the nearest tenth, the point of intersection is (3.0, 27.0).

The point of intersection of the two functions is (3, 27).

The system of equations is:

f(x) = 5x + 25 - 1 = 5x + 24

g(x) = 2x - 3

To solve this system, we can use the elimination method. We can eliminate the x-term by adding the two equations together.

f(x) + g(x) = 5x + 24 + 2x - 3 = 7x + 21

Solving for x, we get:

x = 21/7 = 3

Now that we know the value of x, we can plug it back into either equation to find the value of y. Let's use the equation for f(x).

f(x) = 5x + 24

f(3) = 5(3) + 24 = 27

Therefore, the point of intersection of the two functions is (3, 27).

To the nearest tenth, the point of intersection is (3.0, 27.0)

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Answer:

The measure of angle R is 112 degrees

Step-by-step explanation:

Using the given markings, we can see that we have an isosceles triangle

so RT is also 3x-2

Mathematically, the sum of the interior angles of a triangle is 180:

Thus;

9x + 4 + (3x-2) + (3x-2) = 180

9x + 3x +3x + 4-2-2 = 180

15x = 180

x = 180/15

x = 12

Recall; Angle R is 9x + 4

= 9(12) + 4 = 108 + 4 = 112

Answer:

$37500

Step-by-step explanation:

Given data

Width of side walk= 5ft

Lenght= 250ft

Cost per square foot= $30

Hence the area of the side walk= 5*250

                                                     = 1250ft^2

Hence the cost = 30*1250

                            =$37500

Answer:

I could only find a single semi-complete question on that paper due to the quality of the picture.  The carbon dioxide and water escape from the tube, because as gases, they do not have a definite shape or volume, and instead expand to fit whatever container they are in.

Hope it helps