the fraud triangle indicates which of the following condition(s) exist for a fraud to be perpetrated?
The fraud triangle is a model that describes the three key factors that must be present for fraud to occur: opportunity, rationalization, and pressure.
These factors are often represented as the three sides of a triangle, with fraud being the result at the center.
Opportunity refers to the ability of an individual to commit fraud, either due to a lack of internal controls or the ability to override existing controls. Rationalization refers to the mental process by which an individual justifies the fraudulent behavior to themselves, often by convincing themselves that it is not really wrong or that they have a valid reason for doing it. Pressure refers to the external factors that motivate an individual to commit fraud, such as financial difficulties, job insecurity, or a desire to meet performance targets.
In summary, the fraud triangle indicates that all three conditions of opportunity, rationalization, and pressure must be present for fraud to be perpetrated.
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the area of 4 walls and ceiling of a room is 107 metre per square. if the room is 6m long and 5m wide, how high is the room?
Area of ceiling: 6 x 5 = 30 square meters:
Area of 4 walls = 107 - 30 = 77 square meters
2 walls = 6 + 6 = 12 meters long
2 walls = 5 + 5 = 10 meters long
12 + 10 = 22
77 square meters / 22 meters = 3.5 meters
The walls are 3.5 meters high.
three teammates had diffrent points totals at the girls basketball game. to determine the number of points effie had, multiply tonis points by 3, subtract8. and then multiply the diffrence by 2. to determine the number of points linda had, add 9 to toins points, and divide the sum by 3. how many points did each girl have if effie scored 9 more than toni and linda combined?
Toni had 17 points, Effie had 25 points and Linda had 18 points.
The question is asking to find the number of points each girl had in a girl's basketball game. To find out how many points Effie had, you must multiply Toni's points by 3, subtract 8, and then multiply the difference by 2. To find out how many points Linda had, you must add 9 to Toni's points and divide the sum by 3. The given information is that Effie scored 9 more than Toni and Linda combined.
Formula and Calculation:
Toni's Points = x
Effie's Points = 3x-8
Linda's Points = (x+9)/3
Effie scored 9 more than Toni and Linda combined, so:
3x-8 = x+9/3 + 9
2x-8 = x+9
x = 17
Therefore, Toni had 17 points, Effie had 25 points and Linda had 18 points.
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Given the function f(x) = 3x-2 find f (2/3)
\(f( \frac{2}{3}) = 1\)
Step-by-step explanation:
Given:
\(f(x) = 3x-2\)
When \(x = \frac{2}{3}\), then,
\(f( \frac{2}{3} ) = 3 \times ( \frac{2}{3}) -2\)
Cancelling 3 on RHS, we get,
\( = > f( \frac{2}{3}) = 3-2\)
\( = > f( \frac{2}{3}) = 1\)
Hence,
\(f( \frac{2}{3}) = 1\)
What type of prism is this?
Answer: 3-dimensional prism
Step-by-step explanation:
Answer:
It is a 3D Triangular Prismenter the value of x that makes the given expression true. 35x=7
Answer:
x=0.2
hope this helps
have a good day :)
Step-by-step explanation:
Un número disminuido en 15 equivale a 40.hallar los números
Answer 70
Step-by-step explanation:
Find the real-number root.
-3
-9
3 and - 3
no real roots
Answer:
no real roots
Step-by-step explanation:
here are some facts about units of length 18 ft=____yd and 3 ft= ___in
Answer:
18 ft = 6 yds
3 ft = 36 inches
Step-by-step explanation:
We know that 3 ft = 1 yd
Divide 18 ft by 3
18 ft /3 ft = 6 yds
We know that 1 ft = 12 inches
3 ft * 12 inches /ft = 36 inches
Answer:
\(\large \boxed{18 feet = 6 yards}\)
\(\large \boxed{3 feet = 36 inches}\)
Step-by-step explanation:
1 foot = 1/3 of a yard
Multiply both sides of this equation by 18
\(\large \boxed{18 feet = 6 yards}\)
1 foot = 12 inches
Multiply both sides of the equation by 3
\(\large \boxed{3 feet = 36 inches}\)
Hope this helps!
Hera are 4 fractions labelled A,B,C and D 3/4 5/6 16/25 9/15 A B C D Write them in order starting from the smallest
Answer: 9/15, 16/25, 3/4 and 5/6.
Step-by-step explanation:
From the question, we have been given four fractions which are 3/4, 5/6, 16/25 and 9/15. We are told to write them in order starting from the smallest. For this to be done, we will have to change the fractions to percentages. This will be:
3/4 = 3/4 × 100 = 75%
5/6 = 5/6 × 100 = 83.3%
16/25 = 16/25 × 100 = 64%
9/15 = 9/15 × 100 = 60%
From the above percentages, arranging the fractions from the smallest will be:
9/15, 16/25, 3/4 and 5/6.
Yertorm some sensitivity analysis on the base case, consider an appropriate range of alternative assumptions - in percentage or raw value terms. 2. Using all of the most conservative (i.e. Worst-case scenario) assumptions, is the facility feasible? Under what conditions? Is there significant project risk based on the assumptions and your sensitivity analysis?
Sensitivity analysis involves assessing the impact of alternative assumptions on the feasibility of a facility. By evaluating worst-case scenarios and analyzing project risk, the viability of the facility can be determined.
Identify key assumptions: Determine the assumptions that have the most significant impact on the feasibility of the facility. These could include factors like construction costs, operating expenses, revenue projections, interest rates, market demand, etc.
Define alternative scenarios: Create a range of alternative scenarios by varying the identified assumptions. For example, you can consider best-case, base-case, and worst-case scenarios by adjusting the assumptions in percentage or raw value terms.
Evaluate financial viability: For each alternative scenario, analyze the financial viability of the facility. Calculate key financial indicators such as net present value (NPV), internal rate of return (IRR), payback period, and profitability ratios. Compare the results of the different scenarios to assess their feasibility.
Assess project risk: Consider the level of project risk based on the assumptions and sensitivity analysis. Identify the scenarios that pose the highest risk to the project's success. Factors such as high construction costs, low market demand, or unfavorable interest rates can increase project risk.
Identify conditions for feasibility: Determine the conditions under which the facility remains feasible. Analyze the scenarios that yield positive financial indicators and meet the desired profitability thresholds. These conditions indicate the project's viability under conservative assumptions.
Mitigate risks: Develop strategies to mitigate the risks identified in the sensitivity analysis. This could involve adjusting the project scope, exploring alternative financing options, implementing cost-saving measures, or conducting further market research.
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Determine the number of distinguishable arrangements for each of the following words.
a. SASKATOON
b. MISSISSIPPI
there are 45,360 distinguishable arrangements of the letters in the word "SASKATOON" and there are 34,650 distinguishable arrangements of the letters in the word "MISSISSIPPI".
a. SASKATOON:
To determine the number of distinguishable arrangements of the word "SASKATOON", we can use the formula for permutations of indistinguishable objects, which is n!/a!b!c!…, where n is the total number of objects and a, b, c,… are the frequencies of each indistinguishable object. In this case, there are 9 letters in the word "SASKATOON", but some of them are repeated. Specifically, there are 2 S's, 2 A's, and 2 O's. Using the formula, we get:
9!/(2!2!2!) = 9876543/(222) = 45,360
Therefore, there are 45,360 distinguishable arrangements of the letters in the word "SASKATOON".
b. MISSISSIPPI:
To determine the number of distinguishable arrangements of the word "MISSISSIPPI", we can use the same formula for permutations of indistinguishable objects. In this case, there are 11 letters in the word "MISSISSIPPI", but some of them are repeated. Specifically, there are 4 I's, 4 S's, and 2 P's. Using the formula, we get:
11!/(4!4!2!) = 34,650
Therefore, there are 34,650 distinguishable arrangements of the letters in the word "MISSISSIPPI".
In summary, the number of distinguishable arrangements of a word can be found using the formula for permutations of indistinguishable objects, which takes into account the frequency of each repeated letter. By applying this formula to the words "SASKATOON" and "MISSISSIPPI", we find that there are 45,360 and 34,650 distinguishable arrangements, respectively.
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Help me pleaseeeeeeeee
if (x) = 5x-2 and g(x)= 2x+1, find (f+g)(x)
A 3x-1
B. 4-3
C. 7x-3
D. 7x-1
Answer:
D. 7x - 1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsFunctionsFunction NotationStep-by-step explanation:
Step 1: Define
Identify
f(x) = 5x - 2
g(x) = 2x + 1
Step 2: Find
Substitute in functions: (f + g)(x) = 5x - 2 + 2x + 1Combine like terms: (f + g)(x) = 7x - 1Need help ASAP you need to add a certain amount of numbers to make it easier to subtract. I’m new to this so I need help Will get brainly
Using Compensation method, we add 3 each to both numbers and our new subtraction is; 445 - 200.
How to use compensation in addition and subtraction?
Compensation is a way of adding or taking away numbers that you find easier. You add or take away a bit too much or a bit too little, so then you have to add or take away this too.
The equal additions method is a compensation used when doing subtractions. For example;
Subtract 39 from 57.
To make this subtraction appear as 58 - 40, we have added 1 to 57 and 39 each so that we still have the same subtraction problem.
Now, for 442 - 197, what we can do to make it simpler is to find a way to make 197 to be 200. Thus, we add 3 each to both numbers and our new subtraction is; 445 - 200.
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Answer: Option (B)
Explanation: every problem resolution or solution starts with identifying the problem and its consequences or effects. After that, solutions are found to eliminate the problem, and two or more alternative solutions are made. After that, evaluate and select the best solution to solve the problem more easily. If the solution fills all the required conditions and effective problem resolution occurs, implement the solution.
Other options are wrong because of the following reasons.
A. This option starts the process of identifying the best solution, but understanding the nature of the problem or possible solutions can occur.
C. Evaluation and selection of the best solution are only taken after understanding the problem and checking other solutions.
D. The evaluation and selection of the best solution are required before implementing the solution to get an effective solution that can fulfill all of the conditions.
B. Your initial explanation is mostly accurate, but these additional details provide a clearer understanding of the problem-solving process.
A. The process you described is commonly known as problem-solving or decision-making. Here's a breakdown of the steps involved: Identify the problem, Generate alternative solutions, Evaluate alternatives, Select the best solution, Implement the solution.
Identify the problem: The first step is to clearly identify and define the problem at hand. This involves understanding the nature of the problem, its causes, and its consequences or effects. Without a clear understanding of the problem, it would be difficult to find an appropriate solution.
Generate alternative solutions: Once the problem is identified, the next step is to brainstorm and generate multiple possible solutions or approaches to address the problem. This step encourages creativity and exploration of different options.
Evaluate alternatives: After generating alternative solutions, each option should be evaluated carefully. Factors such as feasibility, cost, time, resources required, and potential risks or benefits should be considered. This evaluation helps in narrowing down the options to those that are most viable.
Select the best solution: Based on the evaluation, one or more solutions may stand out as being the most effective or suitable for solving the problem. The best solution is selected based on its ability to address the problem efficiently and meet the desired objectives.
Implement the solution: Once the best solution is chosen, it is put into action. Implementation may involve planning, executing tasks, allocating resources, and managing the necessary steps to bring the solution to fruition.
It's important to note that the order of the steps may vary depending on the context and the complexity of the problem. While it's generally logical to evaluate and select the best solution before implementing it, sometimes it may be necessary to iterate through the steps, re-evaluate options, or make adjustments during the implementation phase.
Regarding the other options you mentioned:
A. This option suggests starting with identifying the best solution without understanding the nature of the problem or considering other possible solutions. As you correctly pointed out, this approach is flawed because it skips important steps in the problem-solving process.
C. This option implies evaluating and selecting the best solution before understanding the problem or considering other alternatives. Again, this is incorrect because a thorough understanding of the problem and exploration of multiple solutions should precede the evaluation and selection stage.
D. This option suggests implementing the solution before evaluating and selecting the best one. However, it's generally more effective to assess the potential effectiveness of different solutions before committing to their implementation.
In summary, your initial explanation is mostly accurate, but these additional details provide a clearer understanding of the problem-solving process.
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There are 5 positions available in the new school. Of the applicant, 12 are men and 8 are women. In how many ways can 3 men and 2 women be chosen if they are equally considered?
There are 3080 ways 3 men and 2 women can be chosen if they are equally considered, using the multiplication principle of counting
What is the multiplication principle of countingThe multiplication principle states that if there are m ways to perform one task and n ways to perform another task, then there are m x n ways to perform both tasks together.
To find the number of ways to choose 3 men from the 12 men, we can use the formula for combination, which is: ⁿCᵣ = n! / (r! (n-r)!).
where n is the total number of men and r is the number of men chosen
so, the number of ways to choose 3 men from the 12 men = ¹²C₃ = 1.
Similarly, we evaluate the number of ways to choose 2 women from the 8 women
as = ⁸C₂ = 14
Now, using the multiplication principle, we can find the total number of ways 3 men and 2 women be chosen if they are equally considered.
220 x 14 = 3080
Therefore, there are 3080 ways 3 men and 2 women can be chosen if they are equally considered, using the multiplication principle of counting
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An ice cream Store with 12 different flavors sells 1 and 2 scoop ice cream cones. A boy sitting outside the store Counted 11 people with ice cream cones and a total of 15 scoops of ice cream how many one Scoop cones were sold
Answer:
7 cones of 1 scoop ice cream were sold.
Step-by-step explanation:
A total of 15 scoops were sold .
Let x be the number of 2 scoop ice cream and y be the number of 1 scoop ice cream
Then
15= 2x+ y---- eq. 1
There were 11 cones sold.
and x+ y = 11--- eq.2
11-x= y
15= 2x+ y
Putting value of y from eq.2 in eq. 1
15= 2x + 11-x
15= x+11
15- 11= x
x= 4
There will be 2*4=8 scoops for 4 cones
ie 4 cones of two scoops ice creams will be sold.
11- 4= 7 cones
and 7 scoops for 7 cones
Communication: Mark: 20 The graphs of a function and its derivatives, y = f(x), y=f(x), y = f'(x), are shown on each pair of axes. Which is which? Explain how you can tell. 300 200- 100- W For 100- -2
We can conclude that the topmost graph is y = f(x), the middle one is y = f'(x) and the bottom graph is y = f''(x).
From the graphs of a function and its derivatives, y = f(x), y=f(x), y = f'(x), it can be concluded that the topmost graph is y = f(x), the middle one is y = f'(x) and the bottom graph is y = f''(x).
How to determine which graph is which?
For a given graph, we can say that the graph represents f(x) if there are no repeated x-values for a given value of y, and we can see that it passes the vertical line test.
For a given graph, we can say that the graph represents f'(x) if the graph increases as the function increases and decreases as the function decreases. It also passes the horizontal line test.
For a given graph, we can say that the graph represents f''(x) if the graph has an inflection point where the function changes from concave to convex or vice versa and the graph passes the vertical line test.
Therefore, we can conclude that the topmost graph is y = f(x), the middle one is y = f'(x) and the bottom graph is y = f''(x).
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calculate vred, the speed of red light in the diamond. to four significant figures, c=2.998×108m/s.
The speed of red light in a diamond, denoted as vred, is approximately equal to the speed of light in a vacuum, c, which is 2.998 × 10^8 m/s, rounded to four significant figures.
According to the principles of optics and the refractive index of a material, the speed of light in a medium is generally lower than its speed in a vacuum. The refractive index of a diamond is approximately 2.42.
To calculate the speed of red light in a diamond, we can use the formula vred = c / n, where c represents the speed of light in a vacuum and n represents the refractive index of the diamond.
Substituting the given values, we have vred = (2.998 × 10^8 m/s) / 2.42. Evaluating this expression yields a result of approximately 1.239 × 10^8 m/s.
Rounding this value to four significant figures, we obtain the speed of red light in a diamond, vred, as approximately 1.239 × 10^8 m/s.
Therefore, the speed of red light in a diamond, rounded to four significant figures, is approximately 1.239 × 10^8 m/s, which is slightly lower than the speed of light in a vacuum, c.
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I NEED THIS FAST
4. Each month, a salesperson has a base salary of $2000 plus $500 per sale.
Which equation represents the montly income y (in dollars) of x sales?
1. y = 500x + 2000
2. y = 2000x + 500
3. y= 2500x
What is a good estimate for this angle measurement?
A. 130
B. 110
C. 90
D. 70
Answer:
I would think that it would be 130 degrees.
Step-by-step explanation:
Sorry if this doesn't help! Hope you have a good day/night
Answer:
A
Step-by-step explanation:
There are only two plausible answers here, B or A. C and D are impossible because the angle is obviously an obtuse angle, an angle that is greater than 90.
If you're using a protractor, this is rather easy, just use the protractor to measure the angle. If you are not, it gets a bit complicated. I chose A without a protractor because B is only 20 degrees above 90, and it looks too wide to be only 20 degrees above a right triangle.
Suppose g(x) = f(x - 1) - 5. Which statement best compares the graph of
g(x) with the graph of f(x)?
D is your answer i believe
Step-by-step explanation:
using g(x), -1, which is our change of x will go right. -5 is our change in y, so therefore it goes down. negative means down, positive means up for our change of y. for our change of x, negative goes right, and postive goes left. thats why i think the answer is d
A linear function is transformed from D = 100p + 3000 to D = 100p + 4500. What is the corresponding vertical change?A)The graph is shifted up 1500 units.B)The graph is shifted up 100 units.C)The graph is shifted up 3000 units.D)The graph is shifted up 4500 units
To change a function vertically we need to add a constant number to its expression. In this problem we have the original expression and the transformed one. To find how much it changed we can subtract the two expressions and the result will be the vertical shift. We have:
\(\begin{gathered} (100p+4500)-(100p+3000) \\ 100p+4500-100p-3000 \\ 1500 \end{gathered}\)The result is positive 1500. Therefore the function was shifted up in 1500 units. The correct answer is A).
In a perfectly symmetrical bell-shaped "normal" distribution
a) the arithmetic mean equals the median.
b) the median equals the mode.
c) the arithmetic mean equals the mode.
d) All the above.
The correct response is d) All the above. The arithmetic mean is equal to the median, the median is equal to the mode, and the mode is equal to the arithmetic mean.
If the data are graphed symmetrically, the distribution demonstrates 0% skewness regardless of how long or fat the tails are. When the median of a data set is utilized, 50% of the data points in the collection have values lower than or equal to the median, and 50% of them have values greater than or equal to the median. The middle score in the set is known as the median. The first step in calculating the median is to order the data points from smallest to greatest. The median in an odd-numbered set will be the value that falls exactly in the middle of the list. You must determine the average of the two middle numbers in a set of even numbers. The average is determined by summing up each value individually and dividing that sum by the total number of observations.
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HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPp
Answer:
Mode: 7
Range: 6
Step-by-step explanation:
Think of the M and O in "mode" as "most often." The mode is the number that appears more than any other.
Range is the difference (subtraction) between the smallest number and largest number in the data. So we have 3, 5, 5, 7, 7, 7, 7, 7, 8, 8, and 9. We take the largest number, 9, and subtract the smallest number, 3, from it.
9-3 = 6
In the future, if you come across "median," that means to put all of the numbers in order from least to greatest and whatever number is in the middle will be the median. Think of the median of a road, which is at the center. The median in this data set would be 7. If you have two different numbers in the center, find the number between those two. For example: if the two median numbers were 7 and 8, the median would be 7.5.
The mean is the sum of all of the numbers, divided by two. So for this data set, you would do 3+5+5+7+7+7+7+7+8+8+9. Then, you would take the total and divide it by 2.
73 / 2 = 36.5
In the natural sciences, a set of hypotheses that has been repeatedly tested and not rejected is referred to as
5 Tony has 14 hundreds,
six tens, and 5 ones.
Gene has 1 thousand,
4 hundreds, 16 tens.
and 5 ones. Mrs. Lane
says their totals are
equivalent. Is she
correct? Prove it.
The total that Tony has is 1465 while Gene has a total of 1565, hence they are not equivalent.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.
14 hundreds, six tens, and 5 ones = 14(100) + 6(10) + 5(1) = 1465
1 thousand, 4 hundreds, 16 tens. and 5 ones = 1(1000) + 4(100) + 16(10) + 5(1) = 1565
The total that Tony has is 1465 while Gene has a total of 1565, hence they are not equivalent.
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Answer:
Step-by-step explanation:
Gene has more, also, by the way, aren't you in my school? Do you know Ezekiel?
PLS HURRY I WILL GIVE BRAINLIEST
Part A: Write an algebraic expression for 6 more than 7 times a number. (5 points)
Part B: Write a verbal expression for 3(n + 8). (5 points)
Part A
Let the number be n.
answer:
7n + 6
Part B
8 more than a number is multiplied by 3
Answer:
PART A: 8x7(+6)
Step-by-step explanation:
PART B: Expand 3(n + 8)
Step 1: Multiply (3) * (n + 8)
Step 1.1: Multiply 3 by each term in n + 8
Step 1.1.1: Multiply 3 * n
Group constants and powers by variable
(3 * 1)(n1)
3n
Step 1.1.2: Multiply 3 * 8
Group constants and powers by variable
(3 * 8)
24
Step 1 answer = 3n + 24
Group all like terms
3n + 24
In a sale, the price of a book is reduced by 25%.
The price of the book in the sale is £12
Work out the original price of the book
Question: In a sale, the price of a book is reduced by 25%. The price of the book in the sale is £12. Work out the original price of the book
Answer: £16
Step-by-step explanation:
To determine the original price of the book, we can use the fact that the sale price is 75% (100% - 25%) of the original price. Let's denote the original price as x.
75% of x = £12
To solve for x, we can set up the equation:
0.75x = £12
To isolate x, we divide both sides of the equation by 0.75:
x = £12 / 0.75
x = £16
Therefore, the original price of the book was £16.
you drop a ball off a 50 foot roof to see how long it will bounce. Each bounce loses 10% of the height of its previous bounce. after how many bounces will the ball's height be less than 1 foot?
After 37 bounces, the ball's height will be less than 1 foot.
How many bounces until it is less than 1 foot?The initial height of the ball is 50 feet.
After first bounce, the ball will reach a height of:
= 50 feet * (1 - 10%)
= 45 feet.
After second bounce, it will reach a height of:
= 45 feet * (1 - 10%)
= 40.5 feet.
Height decreases by 10% after each bounce.
We have to set up an equation:
50 feet * (0.9)^n < 1 foot
Simplifying:
0.9^n < 1/50
Taking the logarithm:
n * log(0.9) < log(1/50)
n > log(1/50) / log(0.9)
n > 37.1298771746
n > 37.13.
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