B. Determine the missing side! 2cm 2) A? 4cm B 4cm​

The conditions for conducting one-sample t-procedures are as follows:

1. Random Sample: The data should be obtained from a random sample or a randomized experiment to ensure that it is representative of the population of interest. This condition helps to minimize bias and ensure the validity of statistical inference.

2. Independence: The observations within the sample should be independent of each other. In other words, the values should not be influenced by each other and should be selected or measured independently. Violation of independence can lead to inaccurate results.

3. Normality or Large Sample Size (Central Limit Theorem): The population from which the sample is drawn should follow a normal distribution, or the sample size should be sufficiently large. If the population is known to be normally distributed, there are no specific requirements on the sample size. However, if the population distribution is unknown, the sample size should generally be at least 30 to apply the Central Limit Theorem, which states that the sample mean tends to follow a normal distribution, regardless of the population distribution shape.

4. Outliers: The presence of outliers can have a significant impact on the results of t-procedures. It is important to check for and address any outliers in the data. Outliers can distort the distribution and violate the assumptions of the t-test.

5. Equal Variances (for two-sample t-test): In the case of a two-sample t-test, if comparing two groups, the variances of the two populations should be equal. This assumption is necessary for calculating the correct degrees of freedom and obtaining accurate results. If the variances are not equal, a modified version of the t-test, called the Welch's t-test, can be used instead.

It is important to carefully assess these conditions before conducting one-sample t-procedures to ensure that the results are valid and reliable. Violations of these conditions may require alternative statistical tests or adjustments to the analysis.

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The transformation of System A into System B is:

Equation [A2]+ Equation [A 1] → Equation [B 1]"

The correct answer choice is option D

How can we transform System A into System B?

To transform System A into System B as 1 × Equation [A2] + Equation [A1]→ Equation [B1] and 1 × Equation [A2] → Equation [B2].

System A:

-3x + 4y = -23 [A1]

7x - 2y = -5 [A2]

Multiply equation [A2] by 2

14x - 4y = -10

Add the equation to equation [A1]

14x - 4y = -10

-3x + 4y = -23 [A1]

11x = -33 [B1]

Multiply equation [A2] by 1

7x - 2y = -5 ....[B2]

So therefore, it can be deduced from the step-by-step explanation above that System A is ultimately transformed into System B as 1 × Equation [A2] + Equation [A1]→ Equation [B1] and 1 × Equation [A2] → Equation [B2].

The complete image is attached.

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Answer:

length= 5 + x

breadth = 6 + 2x

area = 30 + 16x + 2x^2

The system formed by linear equations - 8 · x + 8 · y = 1 and - 32 · x + 32 · y = - 5 has no solution.

In this problem we find a system formed by two linear equations with two variables. There are three kinds of systems of linear equations:

First, write the system of linear equations:

- 8 · x + 8 · y = 1

- 32 · x + 32 · y = - 5

Second, multiply the first equation by 4:

- 32 · x + 32 · y = 4

Third, use transitive property:

4 = - 5 (CRASH!)

The system of linear equations has no solution.

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Therefore, the domain of function m is Domain = {x ∈ R} or (-∞, ∞).

The domain of a function is the set of all possible input values (also called the independent variable) for which the function is defined. In other words, it is the set of all values that can be plugged into the function without causing any errors or undefined outputs.

For example, consider the function f(x) = 1/x. In this case, the function is defined for all real numbers except x=0, because dividing by zero is undefined. Therefore, the domain of the function is all real numbers except 0, or written in interval notation, (-∞,0) U (0,∞).

It is important to determine the domain of a function because it tells us which values, we can and cannot use as input, and helps avoid errors or incorrect calculations.

by the question.

To determine the domain of function m, we need to identify all possible values of x that can be plugged into the function to produce a valid output. From the information given in the problem, we know that the curve declines from (-4, 8) through (-2, 0), passes through (0, 0) and (4, -8), and rises through (6, 8).

Since the curve is continuous and does not have any vertical asymptotes or holes, we can assume that the domain of function m is the set of all real numbers. In other words, any value of x can be plugged into the function m to produce a valid output.

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The midpoint of the line segment with endpoints (-2, 3) and (-7, -7) is (-4.5, -2). This point represents the center point or halfway point along the line segment.

To find the midpoint, we calculate the average of the x-coordinates and the y-coordinates separately. For the x-coordinate, we add the x-values of the endpoints (-2 and -7) and divide the sum by 2: (-2 + (-7)) / 2 = -9 / 2 = -4.5. Similarly, for the y-coordinate, we add the y-values of the endpoints (3 and -7) and divide the sum by 2: (3 + (-7)) / 2 = -4 / 2 = -2.

Therefore, the midpoint of the line segment with endpoints (-2, 3) and (-7, -7) is (-4.5, -2). This point represents the center point or halfway point along the line segment.

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The measure of angle x in the right triangle is approximately 14.6 degrees.

The figure in the image is that of two right angles.

First, we determine the hypotenuse of the left-right angle.

Angle θ = 30 degrees

Adjacent to angle θ = 10 cm

Hypotenuse = ?

Using the trigonometric ratio.

cosine = adjacent / hypotenuse

cos( 30 ) = 10 / hypotenuse

hypotenuse = 10 / cos( 30 )

hypotenuse = \(\frac{20\sqrt{3} }{3}\)

Using the hypotenuse to solve for x in the adjoining right triangle:

Angle x =?

Adjacent to angle x = \(\frac{20\sqrt{3} }{3}\)

Opposite to angle x = 3

Using the trigonometric ratio.

tan( x ) = opposite / adjacent

tan( x ) = 3 / \(\frac{20\sqrt{3} }{3}\)

tan (x ) = \(\frac{3\sqrt{3} }{20}\)

Take the tan inverse

x = tan⁻¹(  \(\frac{3\sqrt{3} }{20}\) )

x = 14.6 degrees

Therefore, angle x measures 14.6 degrees.

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Answer:

but where is the question

kindly attach it

Answer:

2.1875

Step-by-step explanation:

2 3/16 to decimal form is 2.1875.

Answer:

28>x

Step-by-step explanation:

7>x/4

remove the denominator by multiplying both sides by 4

4×7>x/4×4

28>x

The least common denominator (LCD) of the rational expressions is (x+1)(x-1).

When adding or subtracting rational expressions, we need to find a common denominator. The least common denominator (LCD) is the smallest multiple of the denominators of the rational expressions.

To find the LCD, we follow these steps:

Let's consider an example to illustrate this process:

Example:

Find the LCD of the rational expressions:

x/(x+1) and 1/(x-1)

Step 1: Factor the denominators:

x+1 and x-1

Step 2: Identify the common factors:

There are no common factors in this case.

Step 3: Take the product of the highest powers of each common factor:

Since there are no common factors, we skip this step.

Step 4: Include any unique factors:

The unique factors are x+1 and x-1.

Step 5: Simplify the resulting expression:

The LCD is (x+1)(x-1).

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The least common denominator of the rational expressions in this problem is given as follows:

4x(x + 5).

The rational expressions for this problem are defined as follows:

9/(4x + 20), 10/(x² + 5x).

The denominators are given as follows:

The denominators can be simplified as follows:

The least common denominator is the multiplication of the unique factors, hence it is given as follows:

4x(x + 5).

The expression that completes this problem is given as follows:

9/(4x + 20), 10/(x² + 5x).

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Answer:

9 dollars

Step-by-step explanation:

It would be 9 dollars because that is the only common factor that could go into 27, 28, or 45.

☆ We know that angles of triangle opposite of its equal sides are also equal

Here the information that we know about the given triangle is

So the angles opposite to the equal sides will be equal .

→ So one of those equal angle is x so other will also be x .

☆ Interior angle sum property states that sum of interior angles of triangle will be 180°

→ 80° + x + x = 180°

→ 2x = 180°-80°

→ 2x = 100°

→ x = 100/2

→ x = 50° .

The value of x in the triangle is 50°.

We have,

The given triangle is an isosceles triangle.

This means,

There are two equal sides and the angles opposite to the equal sides are also equal.

Now,

The sum of the three angles in a triangle is 180.

So,

80 + x + x = 180

80 + 2x = 180

2x = 180 - 80

2x = 100

x = 100/2

x = 50°

Now,

We can cross cheked.

80 + 50 + 50

80 + 100

180

True.

Thus,

The value of x in the triangle is 50°.

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Check the picture below.

the future value of Samantha's investment after 7 years amount is $84,973.

The formula to calculate the future value of an investment with continuous compounding is FV = P x e^rt, where P is the principal, r is the annual interest rate, and t is the time (in years).

In this case, P = $67,000, r = 3.9%, and t = 7.

FV = 67,000 x e^(3.9% x 7)

FV = 67,000 x e^(0.039 x 7)

FV = 67,000 x e^0.273

FV = 67,000 x 1.3214

FV = $88,472.80

Rounded to the nearest dollar, the future value of Samantha's investment after 7 years amount is $84,973.

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Answer:

11,4021

Step-by-step explanation:

the steps are simply ,

44231

11^4021

Answer:

The Prime Factorization is:

11 x 4021

In Exponential Form:

111 x 40211

CSV Format:

11, 4021

All Factors of 44231:

1, 11, 4021, 44231

hope it helps

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Answer: $150

Step-by-step explanation:

If Bilbo bought the ring for 70% of the original price, this means that he saved:

= 100% - 70%

= 30%

$45 is therefore 30% of the original price.

Assuming the original price is x:

30% * x = 45

x = 45/30%

x = $150

Yes, when dealing with a multi-value attribute with a variable number of values that need to be processed independently.

Yes, when dealing with a multi-value attribute with a variable number of values that need to be processed independently, it is recommended to consider creating a new dependent entity to represent the values. This can help to simplify the design and make it easier to manage and maintain. The new entity can be linked to the original entity through a relationship, allowing each value to be processed independently while still maintaining the integrity of the data. Overall, this approach can improve the efficiency and effectiveness of the system, making it easier to work with and providing better results for the end user.

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Answer:

0.52

Step-by-step explanation:

First, I would do 2 divided by 4 is 0.5. Then I would do 0.08 divided by 4 and get 0.02. Finally, I would add 0.5 and 0.02 and get 0.52.

Answer:

5(5x-t)

=13×5

25x - 5t

=65

25x -5t + 4x +5t

=65 + 22

29x

= 87

x

= 87÷29

x =3

substituting x=3 in 5x-t=13

15- t

=13

15 - 13

= t

t = 2

Step-by-step explanation:

Using fractional operation, since Jack ate ¹/₂ of the delicious pizza with ¹/₆ left, Jill ate ¹/₃ of it.

The fractional operations involve mathematical operations using fractions, which are parts or portions of the whole value or quantity.

Some of the mathematical operations include addition, subtraction, multiplication, and division.

The fraction ate by Jack = ¹/₂

The fraction of the pizza left over after Jack and Jill have eaten = ¹/₆

The fraction or portion that Jill ate = ¹/₃ [1 - (¹/₂ + ¹/₆)]

Thus, we can conclude that Jill ate ¹/₃ of the delicious pizza.

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Therefore, the measure of angle XOB is 60 degrees.

The radius is the distance around a circle from its centre to its edge. For instance, if the circle's radius is 7 cm, its diameter will be 7 x 2, or 14 cm. You can find the diameter of a circle if you know its circumference and divide it by a certain number.

Since O is the circle's center, the inscribed angle theorem states that the length of the arc XOY is twice the length of the angle XOB.

We know that the measure of the arc XOY is 120, so:

2 * measure of angle XOB = measure of arc XOY

2 * measure of angle XOB = 120

measure of angle XOB = 60

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In mathematics, a shearing transformation is a linear transformation that moves points in a plane or a two-dimensional space by a fixed distance in a specified direction.

The shearing transformation that shears units in the vertical direction can be determined as follows: A shearing transformation matrix takes the following form:|1 c||0 1|where c is the shear factor. To shear the units in the vertical direction, set c equal to the desired vertical shear factor. In this case, the vertical shear factor is 2.|1 2||0 1|is the shearing transformation matrix that shears units in the vertical direction.

Therefore, the shearing transformation matrix that shears units in the vertical direction is:

| 1 s |

| 0 1 |

where "s" represents the amount of shear.

To determine the shearing transformation matrix that shears units in the vertical direction, we can consider a 2D coordinate system. In a 2D coordinate system, a shearing transformation matrix can be represented as:

| 1 s |

| 0 1 |

where "s" represents the amount of shear in the vertical direction. If we apply this transformation matrix to a point (x, y), the transformed coordinates would be:

x' = x + s * y

y' = y

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Answer: 0.77

Step-by-step explanation:

Khan academy answer

#1

As this is a scatter plot so we have to draw a suitable line then have to find the equation of line inorder to fulfill our requirements.

#2

Put temperature as 21(x)

#3

0 is the y intercept or the initial amount of sales

It's denoting to the fact that there were initially 0 boxes

The length of RS (or RT) can also be represented as 26 in simplified radical form.

Since ∠R ≅ ∠T, we know that △RST is an isosceles triangle and that RS = RT. Let x be the length of RS (or RT). Then we can use the Pythagorean theorem to solve for x:

\(RS^2 + ST^2 = RT^2\)(By Pythagoras theorem)

\(x^2 + 5^2 = 7^2\\x^2 + 25 = 49\\x^2 = 49 - 25\\x^2 = 24\\x = \sqrt{24\)

Therefore, the length of RS (or RT) is √24, which can also be written as 2√6 in simplified radical form (since 24 can be factored as 2^2 × 6).

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There are no values of k that allow us to factor the expression \($13x^2 kx - 8$\) as a product of linear binomials with integer coefficients.

To find the values of k that allow us to factor the quadratic expression \(13x^2 kx - 8\) as a product of linear binomials with integer coefficients, let's analyze the expression.

The quadratic expression is of the form \(ax^2 + bx + c\)  where a = 13, b = 13k, and c = -8

For factoring it as a product of linear binomials, we need to find two integers m and n such that (mx + n)(px + q) is equal to the given expression.

Expanding the product (mx + n)(px + q), we have:

\((mx + n)(px + q) = mpx^2 + (mq + np)x + nq\)

Comparing this with the given expression \(13x^2 kx - 8,\) we can deduce that mp = 13, mq + np = 13k, and nq = -8.

To find the values of k, we need to determine which values satisfy these conditions and allow us to find integer values for m, n, p, and q.

Considering the prime factorization of 13 and -8, we have \(13 = 13 \cdot 1\) and \(-8 = -1 \cdot 2^3\)

Case 1: m = 13 and p = 1

In this case, the condition nq = -8 becomes 13q = -8.

Since 13 is a prime number, there are no integer solutions for q.  

Thus, this case does not allow us to factor the expression with integer coefficients.

Case 2: m = 1 and p = 13

In this case, the condition nq = -8 becomes q = -8 and n = 1.

Therefore, we have mq + np = 13k, which simplifies to -8 + 13n = 13k. Solving for n, we get \(n = \frac{8 + 13k}{13}.\)

For the expression to be factored with integer coefficients, n must be an integer.

Hence, 8 + 13k must be divisible by 13.

It means 8 must be divisible by 13, which is not possible.

Therefore, there are no values of k that allow us to factor the expression \($13x^2 kx - 8$\) as a product of linear binomials with integer coefficients.

In summary, no values of k satisfy the conditions for factoring the expression \(13x^2 kx - 8\) as a product of linear binomials with integer coefficients.

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The complete question may be like: Consider the quadratic expression \($13x^2 kx -8.\)

We want to find values of k that allow us to factor it as a product of linear binomials with integer coefficients.

Determine all such values of k.

Answer:

I think -4

Step-by-step explanation:

20- 1/3of 72

I hope I am right and it helps you!

Answer:

I think the number barbie's thinking of is 276

The sample size needed for a margin of error of 1%, for a confidence level of 90%, is of:

6,766.

A confidence interval of proportions has the bounds given by the rule presented as follows:

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which the variables used to calculated these bounds are listed as follows:

The margin of error of the interval is defined as follows:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

The confidence level is of 90%, hence the critical value z is the value of Z that has a p-value of \(\frac{1+0.90}{2} = 0.95\), so the critical value is z = 1.645.

We have no prior estimate, hence the proportion is given as follows:

\(\pi = 0.5\)

For a margin of error of M = 0.01, the needed sample size n is obtained as follows:

\(0.01 = 1.645\sqrt{\frac{0.5(0.5)}{n}}\)

\(0.01\sqrt{n} = 1.645 \times 0.5\)

\(\sqrt{n} = \frac{1.645 \times 0.5}{0.01}\)

\((\sqrt{n})^2 = \left(\frac{1.645 \times 0.5}{0.01}\right)^2\)

n = 6,766.

(rounding up, as for a sample size of 6,765 the margin of error would be slightly above 0.01).

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