Which number is NOT an integer?

4

0

-4

0.4

Answer:

Step-by-step explanation:

Solution by substitution method

3x-4y=8

and 18x-5y=10

Suppose,

3x-4y=8→(1)

and 18x-5y=10→(2)

Taking equation (1), we have

3x-4y=8

⇒3x=4y+8

⇒x=( 4y+8)/ 3  →(3)

Putting x= (4y+8 )/3  in equation (2), we get

18x-5y=10

18( (4y+8) /3)  -5y=10

⇒24y+48-5y=10

⇒19y+48=10

⇒19y=10-48

⇒19y= -38

⇒y=- 38 /19

 ⇒y= -2→(4)

Now, Putting y=-2 in equation (3), we get

x=4y+8

x= (4(-2)+8) /3

 ⇒x= (-8+8)/ 3

 ⇒x= 0/ 3

⇒x=0

∴x=0  and  y= -2

The null hypothesis is that the linear regression model does not exist. This essentially means that the value of all the coefficients is equal to zero.

What is the null hypothesis?

The null hypothesis is a common statistical theory that contends that there is no statistical relationship or significance between any two sets of observed data and measured phenomena for any given single observed variable.

Here,

We have to find out the slope of the line predicted by the null hypothesis if we are doing a linear regression.

We concluded that the null hypothesis states that the slope is equal to zero, and the alternative hypothesis states that the slope is not equal to zero.

Hence, the null hypothesis is that the linear regression model does not exist. This essentially means that the value of all the coefficients is equal to zero.

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The correct answer is d. Britney's subjective measure of her well-being would increase by less than 5 units.

We have, The vertical distance between points (0, a) and (0, b) is 5.

Her wealth increased from $1,050 to $1,350.Britney's subjective measure of her well-being would increase by less than 5 units. Option (d) is correct. Because the vertical distance between the points (0, a) and (0, b) is 5.

If the horizontal distance is the same as the vertical distance, then the slope is 1.

The slope of the straight line joining two points is given by;

\(\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\)

Where the points are \((x_1,y_1), (x_2,y_2)\)

Let's assume the two points are \((0, a) \ and \ (0, b)\).

The slope of the line connecting these two points is;

\(\displaystyle m=\frac{b-a}{0-0}=\frac{b-a}{0}\)

This is undefined as we cannot divide by 0.Hence, there is no horizontal distance, and there is no slope.

Therefore, if the vertical distance between two points is 5, and there is no horizontal distance, then she will experience less than 5 units of well-being.

Therefore, Britney's subjective measure of her well-being would increase by less than 5 units.

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An equation is a collection of variables and numbers. The number of balloons the store will sell during week 8 will be 193 so option (A) is correct.

A formula known as an equation uses the same sign to denote the equality of two expressions.

An equation is said to be linear if the maximum power of the variable is consistently unity.

As per the given equation,

y = 21.2x + 23.5,

Where y represents the number of balloons and x represents the week's number.

In week 8,

y = 21.2(8) + 23.5

y = 169.6 + 23.5

y = 193.1

Since the number of balloons will be a whole quantity so we will be round to bottom so 193.1 → 193.

Hence "An equation is a collection of variables and numbers. The number of balloons the store will sell during week 8 will be 193".

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The number that could not be a value of X in the triangle given above would be = non of the options.

The triangle inequality theorem states that the sum of any two sides of a triangle is greater than or equal to the third side.

That is symbolically for a triangle labelled ABC:

a + b > c,

a + c > b, and

b + c > a

Using the diagram above,

The whole option can be a value of X and hence none of the above given options can not be = X.

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The sampling distribution of difference between means approximates a normal curve whose mean is zero.

The sampling distribution means the probability distribution based on the large number of samples of size n from the given population

Mean is the average of the given numbers and it is calculated by dividing the sum of observation by the number of observation. Here the term observation represents the given data.

Here they used the normal curve, sot its mean value is zero

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Answer: c=50

just plug in 122 for f and get the equation c=(5(122-32))/9 witch equals 50° Celsius

Step-by-step explanation:

c = Celsius temperature

f = Fahrenheit temperature

As we are given that the Fahrenheit temperature is 122 degree. Now we have to determine the Celsius temperature.

Now put the value of Fahrenheit temperature in above formula, we get:

The four criteria that can be used to prove triangles are congruent and can be used to prove the triangles are congruent.

Triangle congruence: Two triangles are said to be congruent if all three of their corresponding sides and all three of their corresponding angles have the same measurements. These triangles can be moved around, rotated, flipped, and turned to have a same appearance. They match up with one another when moved.

The four criteria that can be used to prove triangles are congruent are SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), and SSS (Side-Side-Side). Additionally, CPCTC (Corresponding Parts of Congruent Triangles are Congruent) can be used to prove the triangles are congruent.

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Answer:1) An operator is missing in your statement. Most likely the right expression is:

Step-by-step explanation:

              2x

f(x) = -------------

          3x^2 - 3

So, I will work with it and find the result of each one of the statements given to determine their validiy.

2) Statement 1: The graph approaches 0 as x approaches infinity.

Find the limit of the function as x approaches infinity:

                                   2x

Limit when x →∞ of ------------

                                3x^2 - 3

Start by dividing numerator and denominator by x^2 =>

     2x / x^2                         2/x

--------------------------- = ---------------

 3x^2 / x^2 - 3 / x^2       3 - 3/x^2

                                     2/∞             0          0

Replace x with ∞ =>  ------------ =  ------- =  ---- = 0

                                   3 - 3/∞        3 - 0      3

Therefore the statement is TRUE.

3) Statement 2: The graph approaches 0 as x approaches negative infinity.

Find the limit of the function as x approaches negative infinity:

                                       2x

Limit when x → - ∞ of ------------

                                    3x^2 - 3

Start by dividing numerator and denominator by x^2 =>

     2x / x^2                         2/x

--------------------------- = ---------------

 3x^2 / x^2 - 3 / x^2       3 - 3/x^2

                                       2/(-∞)           0            0

Replace x with - ∞ =>  ------------ =  ---------- =  ---- = 0

                                     3 - 3/(-∞)      3 - 0        3

Therefore, the statement is TRUE.

4) Statement 3: The graph approaches 2/3 as x approaches infinity.

FALSE, as we already found that the graph approaches 0 when x approaches infinity.

5) Statement 4: The graph approaches –1 as x approaches negative infinity.

FALSE, as we already found the graph approaches 0 when x approaches negative infinity.

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Let's find the slope (m) :

y - intercept (c) = -6

so, the equation of line will be :

Answer:

\(4x+12\)

Step-by-step explanation:

\(\frac{8(x+3)^{2}}{2(x+3)}\)

\(=\frac{8x^{2}+48x+72}{2x+6}\)

\(=\frac{4x^{2}+24x+36}{x+3}\)

\(=\frac{4(x+3)(x+3)}{x+3}\)

\(=4x+12\)

Answer:

Let the number be a.

==: a + (5x³-2x²+3x+7) = (7x³+7x-5)

==: a = (7x³+7x-5) - (5x³-2x²+3x+7)

==: a = 7x³ + 7x - 5 - 5x³+ 2x² - 3x - 7

==: a = 2x³ + 2x² + 4x - 12

i guess this is the process if you don't understand i can explain more

Answer:

So a would times 1 and =10 so it needs to be 1x10 so a is 10 and axn is -26 so n needs to be =2.6

Step-by-step explanation:

The domain of (q∘n)(x) is all real numbers except x = -3. In interval notation, we can represent the domain as (-∞, -3) U (-3, +∞), which means all real numbers less than -3 or greater than -3, but not including -3.

To evaluate (q∘n)(x), we need to substitute the function n(x) = x - 2 into the function q(x) = 1/(x + 5).

(q∘n)(x) = q(n(x)) = q(x - 2)

Substituting x - 2 into q(x):

(q∘n)(x) = 1/((x - 2) + 5) = 1/(x + 3)

The function (q∘n)(x) simplifies to 1/(x + 3).

Now, let's determine the domain of (q∘n)(x).

In general, the domain of a function is the set of all real numbers for which the function is defined.

In this case, the function (q∘n)(x) is defined for all real numbers except those that make the denominator zero, as division by zero is undefined.

To find the excluded values, we set the denominator x + 3 equal to zero and solve for x:

x + 3 = 0

x = -3

Thus, x = -3 is the value that makes the denominator zero, and we exclude it from the domain.

Therefore, the domain of (q∘n)(x) is all real numbers except x = -3. In interval notation, we can represent the domain as (-∞, -3) U (-3, +∞), which means all real numbers less than -3 or greater than -3, but not including -3.

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The probability of getting 0 lemons in the sample is 0.8836, the probability of getting 1 lemon in the sample is 0.1060, and the probability of getting 2 lemons in the sample is 0.0564.

The probability distribution of x can be calculated as follows:

Given that 6% of all cars produced at a large auto company are lemons. This means that out of every 100 cars manufactured at the company, 6 of them are lemons.Let x denote the number of lemons in this sample. Then, x can take the values 0, 1, or 2. To find the probability of each value of x, we use the binomial probability formula, which is:

P(x) = (nCx) * p^x * (1-p)^(n-x)

where n is the sample size, p is the probability of success, and x is the number of successes.

The sample size is 2 because we are selecting two cars at random from the production line. The probability of success (getting a lemon) is 0.06. Using the binomial probability formula, we get:

P(0) = (2C0) * 0.06^0 * (1-0.06)^(2-0) = 0.8836

P(1) = (2C1) * 0.06^1 * (1-0.06)^(2-1) = 0.1060

P(2) = (2C2) * 0.06^2 * (1-0.06)^(2-2) = 0.0564

Therefore, the probability distribution of x is:X P(x) 0. 0.8836 1. 0.1060 2. 0.0564

In conclusion, the probability of getting 0 lemons in the sample is 0.8836, the probability of getting 1 lemon in the sample is 0.1060, and the probability of getting 2 lemons in the sample is 0.0564.

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Answer:

The supplementary angle of the first angle is 180 degrees minus the measure of the angle, which would be 156 degrees. The supplementary angle of the second angle is 180 degrees, so the sum of the two supplementary angles is 336 degrees.

Answer:

A. 1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

-5x - 1 ≤ -9

Step 2: Solve for x

Here we see that any value x greater than or equal to 1.6 would work as a solution.

Therefore, our answer is A. 1, as it doesn't work as a solution.

Answer: infinite solutions

Explanation:

-1+5p ≥-1+5p

5p ≥5p

P ≥p

0 ≥p-p

0 ≥0 (therefore it is an infinite solution)

Answer: 1. €37 and €17

2. €34

Step-by-step explanation:

Given Data:

Cost of 1/4kg of chorizo = €9.25

Cost of 1/2kg of cheese = €8.50

Therefore:

1. Cost of 1kg of each product.

If 1/4 kg or chorizo cost €9.25,

1kg = 1/4 which is known as one fourth or one quarter. There are 4 one fourth in 1

1kg = 1/4 + 1/4 + 1/4 + 1/4

Or

1kg = 4 * €9.25

1kg = €37

Cost of 1kg of chorizo is €37

Cost of 1kg of cheese

If 1/2kg = €8.50

Then; 1kg = 1/2 + 1/2

1kg = €8.50 + €8.50

1kg = €17

Cost of 1kg of cheese = €17

2. Cost of 2kg of cheese.

If 1kg of cheese cost €17

2kg = 2 * €17

2kg = €34

Cost of 2kg of cheese is €34

The given statement "if set of difference scores with df = 8 has a mean of md = 3.5 then sample will produce repeated-measures t statistic of t = 1.75." is false because  it is not possible to determine t statistic.

In a repeated-measures t-test, the t statistic is calculated using the sample mean difference, the standard deviation of the sample mean difference, and the sample size. The formula for calculating the t statistic in a repeated-measures t-test is:

t = (md - μd) / (s / √n)

where md is the mean of the difference scores, μd is the population mean of the difference scores (typically assumed to be zero), s is the standard deviation of the difference scores, and n is the sample size.

In the given statement, we are provided with the mean of the difference scores (md = 3.5) and the variance (s² = 36), but we do not have the sample size (n). Therefore, we cannot calculate the t statistic using the given information.

Hence, it is not possible to determine whether the sample will produce a repeated-measures t statistic of t = 1.75 based on the provided information.

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The correct answer is (a) standard deviation. The measure of central tendency that is NOT included among the given options is the standard deviation (a).

Measures of central tendency are statistical measures that represent the central or average value of a dataset. They provide insight into the typical or central value around which the data tends to cluster. The three commonly used measures of central tendency are the mean, median, and mode.

a. Standard deviation is not a measure of central tendency. It is a measure of dispersion or variability in a dataset. It quantifies how spread out the data points are from the mean. Standard deviation provides information about the spread or scatter of the data rather than representing a central value.

b. Median is a measure of central tendency that represents the middle value in a dataset when the data points are arranged in ascending or descending order. It divides the data into two equal halves.

c. Mean is a measure of central tendency that represents the arithmetic average of a dataset. It is calculated by summing all the data points and dividing by the total number of observations.

d. Mode is a measure of central tendency that represents the most frequently occurring value or values in a dataset. It identifies the value(s) that appear(s) with the highest frequency.

Therefore, the standard deviation (a) is the measure of central tendency that is NOT included among the given options.

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Answer:

108+47=155

180-155=125

x=180

angles in a triangle add up to 180

The selection depends on individual needs, preferences, and the intended use of the tiny house.

a) To find the amount of space inside each house, we need to calculate the volume for each design.

House on the left:

Volume = length x width x height = 2.5 m x 18 m x 2.8 m = 126 m³

Triangular house:

Volume of a triangular prism = (base area x height) / 2

Base area = (1/2) x base x height = (1/2) x 4 m x 10 m = 20 m²

Volume = (20 m² x 7 m) / 2 = 70 m³

b) When comparing the environmental impacts of each house, several factors need to be considered:

Positive impacts:

1. Material usage: Tiny houses use fewer materials, reducing resource consumption and waste generation.

2. Energy efficiency: Smaller living spaces require less energy for heating, cooling, and lighting, leading to lower energy consumption.

3. Land utilization: Tiny houses can be built on smaller plots of land, preserving green spaces and reducing urban sprawl.

Negative impacts:

1. Construction materials: Although tiny houses use less material overall, the environmental impact depends on the types of materials used. Sustainable and eco-friendly materials should be prioritized.

2. Water and waste management: Adequate provisions for water supply and waste disposal should be implemented to minimize environmental impacts.

3. Transportation: The transportation of tiny houses to their locations can contribute to carbon emissions if not done efficiently.

c) The choice of design for a tiny house depends on personal preferences and priorities. However, considering the provided information:

The house on the left offers a larger interior space of 126 m³, providing more room for living and storage. It may be suitable for individuals or couples who desire more space and functionality within their tiny house.

The triangular house has a smaller interior volume of 70 m³ but offers a unique design and aesthetic appeal. It may be preferred by individuals who prioritize a distinctive architectural style or who are looking for a minimalist and cozy living space.

Ultimately, the selection depends on individual needs, preferences, and the intended use of the tiny house. Factors such as lifestyle, desired amenities, and personal values regarding sustainability and resource conservation should be considered when making the final decision.

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Answer:

That number rounds to the nearest hundredth to this number: 382.99

Answer:

Step-by-step explanation:

The value of the given trigonometric function is 1.1547.

The main trigonometric ratios are: sinβ, cosβ and tg β. From these ratios, you can calculate other trigonometric ratios such as sec β, cossec β and cotg β.

These ratios help you find the angles and the sides of a rectangle triangle.

The question asks \(\frac{2 *sin(30)}{cos (30}\), for the angle 30° you have sin=1/2 and cos= \(\frac{\sqrt{3} }{2}\).

Thus,

\(\frac{2 *sin(30)}{cos (30}=\frac{2 *\frac{1}{2} }{\frac{\sqrt{3} }{2} }=\frac{1}{\frac{\sqrt{3} }{2} }= \frac{2}{\sqrt{3} } =\frac{2\sqrt{3} }{3}=1.1547\)

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To evaluate the integral ∫(7x^2 - 12x)e^(2x) dx using integration by parts, we can follow the integration by parts formula:

∫u dv = uv - ∫v du

Let's assign u and dv as follows:

u = 7x^2 - 12x (choose the polynomial term to differentiate)

dv = e^(2x) dx (choose the exponential term to integrate)

Now, let's differentiate u and integrate dv:

du = (d/dx)(7x^2 - 12x) dx = 14x - 12

v = ∫e^(2x) dx = (1/2)e^(2x)

Applying the integration by parts formula, we have:

∫(7x^2 - 12x)e^(2x) dx = u * v - ∫v * du

Substituting the values:

∫(7x^2 - 12x)e^(2x) dx = (7x^2 - 12x) * (1/2)e^(2x) - ∫(1/2)e^(2x) * (14x - 12) dx

Simplifying, we get:

∫(7x^2 - 12x)e^(2x) dx = (7/2)x^2e^(2x) - 6xe^(2x) - ∫7xe^(2x) dx + 6∫e^(2x) dx

Now, we can integrate the remaining terms:

∫7xe^(2x) dx can be evaluated using integration by parts again. Let's assign u and dv:

u = 7x (choose the polynomial term to differentiate)

dv = e^(2x) dx (choose the exponential term to integrate)

Differentiating u and integrating dv:

du = (d/dx)(7x) dx = 7 dx

v = ∫e^(2x) dx = (1/2)e^(2x)

Applying integration by parts to ∫7xe^(2x) dx, we have:

∫7xe^(2x) dx = u * v - ∫v * du

             = 7x * (1/2)e^(2x) - ∫(1/2)e^(2x) * 7 dx

             = (7/2)xe^(2x) - (7/2)∫e^(2x) dx

             = (7/2)xe^(2x) - (7/4)e^(2x)

Now, we can substitute this back into our original equation:

∫(7x^2 - 12x)e^(2x) dx = (7/2)x^2e^(2x) - 6xe^(2x) - 7/2xe^(2x) + 7/4e^(2x) + 6∫e^(2x) dx

Simplifying further:

∫(7x^2 - 12x)e^(2x) dx = (7/2)x^2e^(2x) - (11/2)xe^(2x) + (7/4)e^(2x) + 6(1/2)e^(2x) + C

Finally, the definite integral would involve substituting the limits of integration into this expression.

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