is 2/5 a rational number , irrational number, whole number , or integer?

The sum of squared residuals for the given data points is 1.778.

To find the sum of squared residuals, we first need to calculate the predicted values of the dependent variable (y) using the regression line. The regression line is a line that best fits the given data points and is typically represented by the equation y = mx + b, where m is the slope and b is the y-intercept.

Using the given data points, we can calculate the equation of the regression line. By applying linear regression techniques, we determine that the regression line equation is y = 1.62x + 32.68.

Next, we calculate the predicted values of y for each data point by substituting the x-values into the regression line equation. The predicted values of y are: 59.86, 49.96, 19.32, and 54.88.

The residuals are obtained by subtracting the predicted values from the actual y-values. The residuals for the given data points are: 0.14, 0.04, -1.32, and 0.12.

To find the sum of squared residuals, we square each residual and sum them up. Squaring the residuals gives us: 0.0196, 0.0016, 1.7424, and 0.0144. Adding these squared residuals together, we get the sum of squared residuals as 1.778.

Therefore, the sum of squared residuals for the given data points is 1.778. This value represents the overall measure of the deviation between the predicted values of y and the actual observed values, providing an assessment of the goodness of fit for the regression line.

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To study the effect of elevation above sea level on air temperature and air pressure while hiking from Heart Lake (elevation 2,179 feet) to the peak of Mt. Marcy (elevation 5,344 feet) in the Adirondack Mountains, the students should use the following instruments to collect their data:

1. Thermometer: A thermometer is an instrument used to measure air temperature. The students should take temperature readings at various elevations during their hike to determine the relationship between elevation and temperature.

2. Barometer: A barometer is an instrument used to measure air pressure. The students should take air pressure readings at various elevations during their hike to determine the relationship between elevation and air pressure.

By using these two instruments and comparing the data collected at different elevations, the students can study the effect of elevation on air temperature and air pressure.

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To find the correct form of the partial fraction decomposition for the expression:   \(\(\frac{9x^2 - 8}{(3x^2 - 4)^2}\)\)

We need to factor the denominator and decompose it into partial fractions. Let's factor the denominator first:

\(\(3x^2 - 4 = (3x - 2)(x + 2)\)\)

Now, we can decompose the expression into partial fractions using the following general form:

\(\(\frac{A}{3x - 2} + \frac{B}{x + 2} + \frac{C}{(3x - 2)^2} + \frac{D}{(x + 2)^2}\)\)

To determine the values of A, B, C, and D, we need to find the common denominator and equate the numerators:

\(\(9x^2 - 8 = A(x + 2)(3x - 2) + B(3x - 2)(x + 2) + C(x + 2) + D(3x - 2)\)\)

Now, we can solve for A, B, C, and D by comparing the coefficients of like terms on both sides of the equation.

However, by following the steps outlined above, you can determine the specific values and complete the partial fraction decomposition.

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The table represents a nonlinear function because both the slope and common difference are not constant.

Based on the pattern in the table, the commission of selling 5 cell phone plans is 600.

In Mathematics, a linear function is a type of function whose equation is graphically represented by a straight line on the cartesian coordinate.

This ultimately implies that, a linear function has the same slope and it is typically used for uniquely mapping an input variable to an output variable, which both increases or decreases simultaneously.

Therefore, this table does not represent a linear function because the slope isn't constant and the common difference is not constant between successive data points.

When x = 5 cell phone plans, y is given by;

y - 400 = 200

y = 600.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The system has two points of intersection: (0, -3) and (1, -2).  

To find the points of intersection between the two equations y=x²-3 and y=x−3, we need to set the equations equal to each other and solve for x.

By solving x²-3 for y n the second equation, we can write the equation as

x²-3=x−3.  

Simplifying this equation, we get x²-x=0.

To solve this quadratic equation, we can factor out x to get x(x-1)=0.

From here, we can set each factor equal to zero and solve for x. So we have two possible solutions: x = 0 and x = 1.

To find the corresponding y-values for each x, we can substitute these

x-values back into one of the original equations.

Plugging x = 0 into y=x²-3 we get y=0²-3=-3.

Similarly, plugging x = 1 into y=x²-3 we get y=1²-3=-2.

Therefore, the system has two points of intersection: (0, -3) and (1, -2).  

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Distance between both factories is 1543 m

In Trigonometry, the law of Cosines, also known as Cosine Rule or Cosine Formula basically relates the length of the triangle to the cosines of one of its angles. It states that, if the length of two sides and the angle between them is known for a triangle, then we can determine the length of the third side. It is given by:

c² = a² + b² – 2ab cosγ

Given,

A man hears the two blasts exactly 6.1 seconds and 2.7 seconds from two factories.

Angle between line of sight γ = 42.4°

Speed of sound = 344m/sec

Distance of factory A from man (a)

6.1 × 344 = 2098.4 m

Distance of factory B from man (b)

2.7 * 344 = 928.8 m

The side opposite the angle between his lines of sight will be the distance between the factories.

Using cosine law

c² = a² + b² – 2ab cos γ, where

c = distance between the factories

c² = 2098.4² + 928.8² – 2(2098.4)(928.8) cos 42.4°

c = √(2098.4² + 928.8² – 2(2098.4)(928.8) cos 42.4°)

c = √(4403282.56 + 862669.44 - 3897987.84(0.74))

c = √(5265952 - 2884511)

c = √2381441

c = 1543.19 m

  ≈ 1543 m

Hence, 1543 m is the distance between both factories.

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a²-b²=10, a/3=b/12 and a(2+1)=3a  are equations.

Two or more expressions with an Equal sign is called as Equation.

An expression is combination of variables, numbers and operators.

a²-b²=10 is an equation because it has an equal sign.

2ab is an expression because it has single term without equal sign.

a/3=b/12 is an equation.

a+b is an expression

a(2+1)=3a is an equation

6b is an expression

Hence, a²-b²=10, a/3=b/12 and a(2+1)=3a  are equations.

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Answer:

its y = 3x + 4

Step-by-step explanation:

it is because the y intercept is 4 and the slope is 3/1

Answer:

14,579.76

Step-by-step explanation:

New value =

16,855.21 - Percentage decrease =

16,855.21 - (13.5% × 16,855.21) =

16,855.21 - 13.5% × 16,855.21 =

(1 - 13.5%) × 16,855.21 =

(100% - 13.5%) × 16,855.21 =

86.5% × 16,855.21 =

86.5 ÷ 100 × 16,855.21 =

86.5 × 16,855.21 ÷ 100 =

1,457,975.665 ÷ 100 =

14,579.75665 ≈

14,579.76

A confidence interval is made from a sample to estimate the truth for a population.

A confidence interval is a range of values that are bound by the statistic's mean and that is likely to include an unidentified population parameter. The proportion of probability, or certainty, that the confidence interval would include the real population parameter when a random sample is drawn numerous times is referred to as the confidence level.

A confidence interval, which is a range of numbers, is used to describe an estimate's level of uncertainty.

A sample is drawn out of the population to estimate its parameter.

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The key approach is to analyze the relationship between the number of solutions to the equation Ax = 0 and the result of Gaussian elimination.

Since the columns of A are linearly dependent, there exist scalars c1, c2, ..., cn (not all zero) such that c1a1 + c2a2 + ... + cnan = 0, where ai represents the columns of A. We can rewrite this equation as a system of linear equations: Ax = 0, where x = [c1, c2, ..., cn]T is a column vector.

The linear dependence of the columns implies that the system Ax = 0 has infinitely many solutions, as we can always find non-trivial combinations of the columns that yield the zero vector.

Now, let's consider applying Gaussian elimination to matrix A. Gaussian elimination transforms the matrix into reduced row echelon form. If the resulting matrix has at least one row of all zeros, it means that there is at least one free variable in the system Ax = 0. This indicates that the system has infinitely many solutions.

Since the system Ax = 0 has infinitely many solutions, and the result of Gaussian elimination with a row of all zeros indicates linear dependence, it follows that the rows of A must also be linearly dependent. Therefore, the linear dependence of the columns implies the linear dependence of the rows.

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Answer: 70 meters

Step-by-step explanation:

Hi, since the situation forms a right triangle and a rectangle, we have to apply the Pythagorean Theorem (for the triangle)

c^2 = a^2 + b^2  

Where c is the hypotenuse of the triangle (the longest side) and a and b are the other sides.  

Replacing with the values given:  

65^2 = 16^2 + x^2  

4,225 = 256 + x^2

4,225-256 = x^2

3,969=x^2

√3,969 =x

63=x

We have calculated the missing side of the triangle, now we have to add the height of the rectangle:

63 +7 =70 meters

Feel free to ask for more if needed or if you did not understand something.  

Answer:

Step-by-step explanation:

The y-intercept is the point where the graph cuts the y axis - that is when x = 0.

f(x)=138⋅1.9x

ehen x = 0 f(x) = 0 so the y-intercept is at (0, 0).

222222345678975433382616273485

Answer:

\(58, 68, 68, 68, 74, 74, 76, 77, 78, 79\)

Step-by-step explanation:

Given

\(n=10\)

\(Mean = 72\)

\(Median = 74\)

\(Mode = 68\)

\(Range = 21\)

Required

The complete dataset

The question has missing options (available online)

From the mean, we have:

\(Mean = \frac{\sum x}{n}\)

This gives:

\(72 = \frac{\sum x}{10}\)

Cross  multiply

\(\sum x = 72 * 10\)

\(\sum x = 720\)

This means that the sum of all elements of the dataset is 720

Next, we test the median

Since n = 10, then:

\(Median = \frac{n + 1}{2}\)

\(Median = \frac{10 + 1}{2}\)

\(Median = \frac{11}{2}\)

\(Median = 5.5th\)

This implies that the median is the average of the 5th and 6th item.

So, we have:

\(Median = \frac{5th + 6th}{2}\)

Cross multiply

\(5th + 6th = 2 * Median\)

\(5th + 6th = 2 * 74\)

\(5th + 6th = 148\)

This means that the 5th and 6th element add up to 148

Also, we have:

\(Mode = 68\)

This means that 68 has to appear at least twice in the dataset

\(Range = 21\)

This implies that the difference between the highest and the least is 21.

The dataset that satisfies the above condition is:

\(58, 68, 68, 68, 74, 74, 76, 77, 78, 79\)

You can suggest that managers should avoid the quick-fix mentality that makes management by best-seller so tempting by implementing the following strategies:

1. Understand the Unique Nature of Your Business: Managers should take the time to understand the unique nature of their business. They should realize that what worked for another company may not work for their own company.

2. Avoid Short-Term Solutions: Managers should avoid short-term solutions that provide quick results. They should focus on long-term solutions that will benefit the organization in the long run.

3. Develop a Comprehensive Strategy: Managers should develop a comprehensive strategy that includes long-term goals and objectives. They should also have a plan in place to achieve those goals.

4. Invest in Employee Development: Managers should invest in employee development by providing training and development opportunities. This will help to build a strong workforce that is capable of handling complex challenges.

5. Encourage Collaboration: Managers should encourage collaboration among team members. This will help to create a culture of teamwork and cooperation.

6. Monitor Progress: Managers should monitor progress and adjust strategies as necessary. This will help to ensure that the organization is on track to achieving its goals.

By following these strategies, managers can avoid the quick-fix mentality that makes management by best-seller so tempting. They can focus on long-term solutions that will benefit the organization in the long run.

Hope this helped you...

Answer:

A

Step-by-step explanation:

Answer:

D = 48kg

Step-by-step explanation:

The ratio of the weights of A and B is equal to the ratio of the weights

of C and D.

From the above question

A : B = C : D

This can also be interpreted as

A/B = C/D

A is 20 kg

B is 24kg

C is 40kg

D is ?

Therefore:

20/24 = 40/D

Cross Multiply

20D = 24 × 40

D = 24 × 40/20

D = 48

Therefore, D = 48kg

The length of the square is 9 inches when a rectangle with a surface area of 180 inches is created by lengthening one side of a square by 1 inches and shortening another by 2 inches.

Given that,

A rectangle with a surface area of 180 inches is created by lengthening one side of a square by 1 inches and shortening another by 2 inches.

We have to find the square's side length should be determined.

We know that,

Let us take the length of the square as x.

So,

The length of one side of a square is increased by 1 inch means

x+1

The length of other side of the square is diminished by 2 inch to form a rectangle means

2x

The area of the rectangle is length × breath.

180=(x+1)(2x)

2x²+2x-180=0

x²+x-90=0

x²+10x-9x-90=0

x(x+10)-9(x+10)=0

(x+10)(x-9)=0

We get,

x+10=0 ⇒ x=-10

x-9=0 ⇒ x=9

The length can not be negative so x=9

Therefore, The length of the square is 9 inches when a rectangle with a surface area of 180 inches is created by lengthening one side of a square by 1 inches and shortening another by 2 inches.

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Answer:

ABX and EDX

Step-by-step explanation:

it is because they both have 2 sides and one angle. :D

Answer:

the first one

Step-by-step explanation:

It is plus five, minus two (repeated)

The pattern is +5 then -2 alternatively .

A pattern is a repeated arrangement of numbers, shapes, colors and so on. The Pattern can be related to any type of event or object. If the set of numbers are related to each other in a specific rule, then the rule or manner is called a pattern. Sometimes, patterns are also known as a sequence.

According to question

7 12 10 15 13 .........

The pattern in the series is  

7+5 = 12

12-2 = 10

10+5=15

15-2= 13 .....................

Hence, the pattern is +5 then -2 alternatively .

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Answer:

Candy canes are a classic Christmas treat, traditionally white with red stripes and flavored with peppermint. They have been popular since the 1600s and are thought to have originated in Germany. Today, 90 percent of all candy canes are sold between Thanksgiving and Christmas.

In a bag of Christmas treats, there are 3 red candy canes for every 5 gingerbread men. If there total is 40 treats, then the number of candy canes will be 24. This can be calculated by taking 40 divided by 8 (5+3) which equals 5, and then multiplying this by 3 which equals 15. Therefore, 24 candy canes are included in the bag of 40 Christmas treats.

Step-by-step explanation:

Answer:

Box 2

Step-by-step explanation:

Box 1: 2x3x2=4x3=12

Box 2: 2x3x1=6x1=6

Box 3: 2x3x4=6x4=24

Answer:

7

Step-by-step explanation:

All you have to do is divide 63 by 9 and you get 7!

If possible can I get brainliest if not that's ok :)

Answer:

18734

Step-by-step explanation:

mark brainliest please:)

Answer:

B. 330

Step-by-step explanation:

got it right on edge :)

p = 76 a = 330 so your answer is D

The perimeter of the polygon is 76ft and Area is 338 sq.ft, the correct option is A.

A polygon is a closed structure with 3 or more than 3 sides.

The given polygon has 4 sides, so it is a quadrilateral

To find the area of the polygon, it can be divided into a rectangle and a triangle as shown

Area of Rectangle = Length * Width

Area of Triangle = (1/2) * base * height

Area of Rectangle = 15 *18

Area of Rectangle = 270 sq.ft

Area of Triangle = (1/2) * 8 *17

Area of Triangle = 4 * 17

Area of Triangle = 68 sq.ft

Therefore, the total area = 68 +270 = 338 sq.ft.

Perimeter of a polygon is equal to sum of all the sides

= ( 15+18+17+18+8)

= 76 ft.

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