An auditor is determining the appropriate sample size for testing inventory valuation using MUS. The population has 3,140 inventory items valued at $19,325,000. The tolerable misstatement is $575,000 at a 10 percent ARIA. No misstatements are expected in the population Calculate the preliminary sample size. the nearest whole arount as Select the formula, then enter the arounts and calculate the sample size. (Abbreviation used: TM = tolerable misstatement. Enter amounts in the formula to two decimal places, X.XX. Round the sample size up needed.) (Click the icon to view the table for determining the confidence factor.) Confidence Factor TM as Percentage of Population Value = Sample Size

Answer:

The #4 graph represents

Step-by-step explanation:

i plugged the inequalitites into desmos.

(see below)

In each scenario, the choice between mean and median as a representative measure of central tendency depends on the nature of the data and the specific context..

1. Scenario: Income distribution of a population

- If the income distribution is skewed or contains extreme values (outliers), the median would be a better representation of the central tendency. This is because the median is not influenced by outliers and provides a more robust estimate of the "typical" income level. However, if the income distribution is approximately symmetric without outliers, the mean can also be an appropriate measure.

2. Scenario: Exam scores in a class

- If the exam scores are normally distributed without significant outliers, the mean would be a suitable measure as it takes into account the value of each score. However, if there are extreme scores that deviate from the majority of the data, the median may be a better representation. This is especially true if the outliers are indicative of errors or exceptional circumstances.

3. Scenario: Housing prices in a city

- In this case, the median would be a more appropriate measure to represent the central tendency of housing prices. This is because the housing market often exhibits a skewed distribution with a few high-priced properties (outliers). The median, being the middle value when the data is sorted, is not influenced by these extreme values and provides a better understanding of the typical housing price in the city.

Ultimately, the choice between mean and median depends on the specific characteristics of the data and the objective of the analysis. It is important to consider the distribution, presence of outliers, and the context in which the data is being interpreted.

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Using BODMAS, the solutions of the expressions are: (1) 9, (2)-12, (3) 0.27, and (4) 0.24

We should know that BODMAS is a mathematical approach which means

In each of the expressions, we must follow the approach

1)    \(\frac{(6+3)^{2} }{3*9}\)

Simplifying this we have 9²/9=81/9

=9

2)  \(\frac{3^{2} -6*2}{(12-8)/2^{2} *10}\)

Using BODMAS we have

(9-12)/4/40

-3÷1/9

⇒-3*4

=-12

(3)   \(\frac{4.5+2*2.5^{2}-6 }{8*4+9}\)

Using BODMAS we have

(4.5+2*6.25-6)/32+9

⇒(4.5+12.5-6)/41

=11/41=0.27

4     (\(\frac{3.5+16-2.5^{2} }{10.5-6*11}\))

Using BODMAS we have  

(3.5+16-6.25)/10.5-66

Simplifying

(13.25)/-55.5

=0.24

Therefore, the values when simplified are  (1) 9, (2)-12, (3) 0.27, and (4) 0.24

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When developing a multiple-year operating forecast, all of the following factors are typically important:

1. Historical Data: Analyzing past performance and trends is crucial for understanding the company's financial position and making informed projections.

2. Market Analysis: Evaluating the current market conditions, industry trends, and competitive landscape helps identify opportunities and potential risks that can impact the forecast.

3. Strategic Goals and Objectives: Aligning the forecast with the organization's long-term goals and objectives ensures that it supports the company's overall strategic direction.

4. Economic Factors: Considering macroeconomic indicators such as GDP growth, inflation rates, interest rates, and exchange rates helps anticipate how the broader economy might affect the business.

5. Internal Factors: Assessing internal factors like sales pipelines, production capacity, staffing levels, and operational efficiencies allows for a more accurate forecast based on the company's specific capabilities.

6. Assumptions and Scenarios: Developing a range of scenarios based on different assumptions helps account for uncertainties and provides a comprehensive view of potential outcomes.

7. Financial Analysis: Conducting financial analysis, including ratio analysis, cash flow projections, and profitability assessments, helps validate the feasibility and sustainability of the forecast.

Given that all the factors mentioned above are important for developing a multiple-year operating forecast, none of them can be considered unimportant in this context.

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Step-by-step explanation:

everything can be found in the picture

Answer:

It is C

Step-by-step explanation:

Got it right in edg

Answer:

A piece of charcoal was unearthed at an archeological site and found to contain 10% of its original carbon-14. The half-life of carbon-14 is 5,730 years. This means that after 5,730 years, only half of the original amount of carbon-14 will remain.  Which equation can be solved to determine the age of the charcoal?

C on edg

Step-by-step explanation:

There are 2300 workers in all in the company.

Let the number of all workers in company be = 100x

95% workers are female then (100-95) = 5% of workers are not female.

So, the number of workers who are not female = 5x

According to the condition, the suitable equation is

5x = 115

x = 115/5

x = 23

So, the total number of workers in the company is = 100*23 = 2300.

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Answer: width 2.5 length 4

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

Derivative of cos(x)=-sin(x)

Derivative of e^x=e^x

Derivative of cos(x)-e^x= - sin(x)-e^x

plug in 0 to the spots of x and you will get 1 because sin(0) is 0 e^0 is 1

0-1=-1

The following statements are true regarding the margin of error: Being more confident (increasing confidence level) will yield a larger margin of error and selecting a larger SRS from the population will yield a smaller margin of error.

A margin of error (MOE) is the degree of inaccuracy in estimating a population's true proportion or mean by analyzing a sample dataset. It represents the uncertainty or confidence level of a poll's findings. It is a critical element in political polls, scientific studies, and marketing research. The accuracy of the findings is expressed in the margin of error, which is given as a percentage. The standard deviation of the sampling distribution, not the standard deviation of the population, determines the margin of error. As a result, selecting a larger sample size, the standard deviation decreases, and the margin of error decreases. Therefore, selecting a larger SRS from the population will yield a smaller margin of error. Confidence intervals are used to determine the margin of error, and increasing the confidence level will result in a larger margin of error. As a result, being more confident (increasing confidence level) will yield a larger margin of error.

Thus, the correct options are (B) and (D). Option (A) is incorrect because a large confidence level requires a large value of 2*. Option (C) is incorrect because the margin of error is influenced by the standard deviation of the sampling distribution.

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The null and alternative hypotheses are H₀ = μ ≥ 6 and H₁ = μ < 6.

Given that, the mean GPA of students in colleges is different from 2.0 (out of 4.0).

H₀: μ = 2.0 and H₁: μ ≠ 2.0

So,

We test the likelihood of the statement being true in order to decide whether to accept or reject our alternative hypothesis. Since, the question wants to test if the college student take less than six years to graduate on average, then we take, H₀ = μ ≥ 6.

And,

WE determine whether to accept or reject based on the likelihood of the null hypotheses being true, so we then take H₁ = μ < 6.

Hence, the null and alternative hypotheses are H₀ = μ ≥ 6 and H₁ = μ < 6.

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Therefore , the solution of the given problem of inequality comes out to be x = 12.5°.

An inequality in mathematics is a linear relationship or a set of integers even without equal sign. Equilibrium follows equity ineluctably. Inequality exists between two variables when they are not equal. There are distinctions between equality and inequality. I've selected the most prevalent symbol because when variables aren't identical or comparable (). Any number of inequalities, no matter how little or large, can be used to compare values.

Here,

Given :4x -10 = 40

=> 4x = 40 + 10

=>  4x =50

=> x  =50/4

=>x= 12.5°

Therefore , the solution of the given problem of inequality comes out to be x = 12.5°.

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Negative 34 means (-34)

times means to multiply, then

To do it without a calculator we will make -34

-30 + -4, then multiply -30 by 1567 and multiply -4 by 1567 then add the two answers

Then add the answers

The answer is -53278

Answer:

Step-by-step explanation:

-3 times 67 is is  minus 207 or -207

Answer:

8x+3 is not factorable

Step-by-step explanation:

In the given right triangle the required value of H is 53° respectively.

A right triangle is a triangle with one right angle or two perpendicular sides. It is also referred to as a right-angled triangle, right-perpendicular triangle, orthogonal triangle, or formerly rectangle triangle.

The relationship between the sides and various angles of the right triangle serves as the basis for trigonometry.

So, the given right angle triangle has given side lengths for each side.

Any of the fundamental trigonometric ratios can be used to calculate angle H.

Then,

sin(H) = opposite/hypotenuse

sin(H) = 8/10

sin(H) = 0.8

To obtain this; we take the inverse sine of both sides:

H = sin⁻¹(0.8)

Then, we obtain:
H = 53.1

Rounding off: H = 53

Therefore, in the given right triangle the required value of H is 53° respectively.

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The specific name of the quadrilateral is trapezoid

The measure of the missing angle is 55 degrees

To determine the measure of the angle, we need to know the following;

The properties of a trapezoid are listed as;

From the information given, we have that;

125 + x = 180

collect the like terms, we have;

x = 180 - 125

subtract the values, we get;

x = 55 degrees

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i think its (x , y) -> (x + 9, y - 9)

There are 1,951 possible 3-letter words that have the letter 'x', allowing for repeated letters and without requiring the words to be meaningful.

We are looking for the number of 3-letter words with the letter 'x' that are possible, allowing repeated letters and without requiring the words to be meaningful.

First, we'll count the total number of 3-letter words without restrictions. There are 26 letters in the alphabet, so we have 26 options for each letter in the 3-letter word. This gives us a total of 26 × 26 × 26 = 17,576 3-letter words.

Now, we'll follow the hint and count the words without 'x'. There are 25 remaining letters in the alphabet (excluding 'x'), so we have 25 options for each letter in the 3-letter word. This gives us a total of 25 × 25 × 25 = 15,625 3-letter words without 'x'.

To find the number of 3-letter words with the letter 'x', we'll subtract the number of words without 'x' from the total number of 3-letter words:

17,576 (total 3-letter words) - 15,625 (words without 'x') = 1,951.

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Answer:

\(16z+64\)

Step-by-step explanation:

Area of a square = \(x^2\)  (where \(x\) is the length of one side)

Side length of smaller square = \(z\)

⇒ area of smaller square = \(z^2\)

Side length of large square = \((z+8)\)

⇒ area of large square = \((z+8)^2\)

Shaded area = area of larger square - area of smaller square

⇒ shaded area = \((z+8)^2-z^2\)

                         = \(z^2+16z+64-z^2\)

                         = \(16z+64\)

Answer:

16z + 64

Step-by-step explanation:

Hello!

First, we find the area of the blue square, pretending that there is no part cut out.

Area:

\((z+8)(z+8)\\\\\\(z+8)^2\\\\\\z^2 + 16z + 64\)

Now, subtract the missing area from the total area:

\(z^2 + 16z + 64 - (z * z)\\\\z^2 + 16z + 64 - z^2\\\\16z + 64\)

The answer is 16z + 64

The triangles ΔKLM and ΔEFG can be proven similar using both SSS and SAS similarity theorems.

In this question, we need to determine whether the triangles can be proven similar using the SSS or SAS similarities theorems.

For given diagrams,

the ratio of the corresponding sides is:

KM/EG = 8/24

            = 1/3

KL/EF = 6/18

          = 1/3

and ML/GF = 5/15

                  = 1/3

The sides of both triangles is proportional .

So by SSS similarity theorem, we have ΔKLM ≈ ΔEFG

Also, ML/GF = 1/3

∠L ≅ ∠F

KL/EF = 1/3

So by SAS similarity theorem, we have ΔKLM ≈ ΔEFG

Therefore, the triangles can be proven similar using both SSS and SAS

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The figure associated to given question is as shown below.

Answer:

above is the solution to the question

Answer:10

Step-by-step explanation: 5 + x is 10 because x is a verable

The area under the curve is \(\frac{6 \sqrt{3}}{5}\).

Consider the following parametric equations:\($$x=t^2-3 t \text { and } y=\sqrt{t} \text { and the } y \text {-axis. }$$\)

The objective is to find area enclosed by the curve using the formula.

The area under the curve is given by parametric equations x=f(t), y=g(t),  and is traversed once as t increases from α to β, then the formula for calculating the area under the curve:

\($$A=\int_\alpha^\beta g(t) f^{\prime}(t) d t$$\)

The curve has intersects with y-axis. so x=0

\($$\begin{aligned}t^2-3 t & =0 \\t(t-3) & =0 \\t & =0 \text { or } t=3\end{aligned}$$\)

Now we have to draw the graph,

Let f(t)=\(t^2-3 t, g(t)=\sqrt{t}$\)

Differentiate the curve f(t) with respect to t.

\(f^{\prime}(t)=2 t-3\)

Now, find the area under the curve use the above formula.

\(\begin{aligned}A & =\int_0^3(\sqrt{t})(2 t-3) d t \\& =\int_0^3(2 t \sqrt{t}-3 \sqrt{t}) d t \\& =\int_0^3\left(2 t^{\frac{3}{2}}-3 t^{\frac{1}{2}}\right) d t \\& =\left[2 \frac{t^{\frac{5}{2}}}{\frac{5}{2}}-3 \frac{t^{\frac{3}{2}}}{\frac{3}{2}}\right]_0^3 \\& \left.\left.=\left[\frac{4 t^{\frac{5}{2}}}{5}-2 t^{\frac{3}{2}}\right]_0^3\right]^{\frac{5}{2}}\right] \\\\\end{aligned}$$\)

\(& =\left[\frac{4(3)^{\frac{5}{2}}}{5}-2(3)^{\frac{3}{2}}\right]-\left[\frac{4(0)^{\frac{5}{2}}}{5}-2(0)^{\frac{3}{2}}\right]\)

\($\begin{aligned}& =\left[\frac{4(3)^{\frac{5}{2}}}{5}-2(3)^{\frac{3}{2}}\right]-\left[\frac{4(0)^{\frac{5}{2}}}{5}-2(0)^{\frac{3}{2}}\right] \\& =\frac{4(3)^{\frac{5}{2}}}{5}-2(3)^{\frac{3}{2}}-0 \\& =\frac{6 \sqrt{3}}{5}\end{aligned}\)

Therefore,  the area of the curve is \(\frac{6 \sqrt{3}}{5}\).

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Step-by-step explanation:

(18+12√5)(9-6√5)

18(9-6√5)+12√5(9-6√5)

162-108√5+108√5-360

162-360

-198

hope this helps you.

Answer:

3(2x - 5)(x - 2)

Step-by-step explanation:

-27x + 6x^2 + 30 =

= 6x² - 27x + 30

= 3(2x² - 9x + 10)

= 3(2x - 5)(x - 2)

Answer:

x = -4

Step-by-step explanation:

3x + 4y = -16

X = 4y

3(4y) +4y = -16

=> 12y + 4y = -16

=> 16y = -16

=> y = -1

3x + 4(-1) = -16

=> 3x -4 = -16

=> 3x = -12

=> x = -4

Hope this helps!      :3

plz mark as brainliest!

Answer: It is indeed -4.

Step-by-step explanation: Refer to the answer above me, they have everything exactly right.

The component of a linear programming model that is NOT listed is "Decision variables."

A linear programming model consists of several components that work together to optimize a given objective while considering various constraints. The components of a linear programming model include:

Constraints: These are the limitations or restrictions that define the feasible set of solutions. Constraints restrict the values that decision variables can take.

Objective Function: This function represents the goal or objective of the linear programming problem. It is either minimized or maximized based on specific criteria.

Feasible Region: Also known as the feasible set or feasible solution space, this refers to the collection of all points that satisfy each constraint in the linear programming problem. It represents the set of possible solutions that meet all the given constraints.

However, "Decision variables" is not a component of a linear programming model but rather the unknowns or variables that we want to determine in order to optimize the objective function.

Decision variables are not a component of a linear programming model. The components of a linear programming model include constraints, objective function, and feasible region. The feasible region refers to the collection of all points that satisfy each constraint in the linear programming problem.

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