The given statement "While running knn, generally speaking, the larger the k is, the more accurate the results would be" is FALSE.
The statement that the larger the k is in k-nearest neighbors (kNN), the more accurate the results would be is not necessarily true. The choice of the parameter k in kNN involves a trade-off between accuracy and complexity.
In kNN, the algorithm assigns a new data point to the class that is most common among its k nearest neighbors in the training data. When k is small, the algorithm considers a small number of neighbors, which may lead to overfitting. Overfitting occurs when the model becomes too specific to the training data and fails to generalize well to unseen data. In this case, the model can capture noise or outliers in the training data, resulting in poor performance on new data.
On the other hand, when k is large, the algorithm considers a larger number of neighbors, which can lead to oversmoothing. Oversmoothing occurs when the model becomes too generalized and fails to capture the underlying patterns in the data. This can result in decreased accuracy as the decision boundaries become more blurred, leading to misclassification.
The optimal value of k depends on the characteristics of the dataset and the problem at hand. It is typically determined through techniques like cross-validation or grid search. In practice, selecting an appropriate k involves finding a balance between bias and variance. A larger k can reduce the impact of noise but may lead to oversmoothing, while a smaller k can capture more localized patterns but may be sensitive to outliers.
Therefore, it is not accurate to claim that the larger the k is, the more accurate the results would be in kNN. The choice of k should be based on careful consideration of the specific dataset and the desired trade-off between accuracy and complexity.
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on january 1, year 1, weller company issued bonds with a $415,000 face value, a stated rate of interest of 10%, and a 10-year term to maturity. weller uses the effective interest method to amortize bond discounts and premiums. the market rate of interest on the date of issuance was 8%. interest is paid annually on december 31. assuming weller issued the bond for $434,940, what is the amount of interest expense that will be recognized during year 3? (round your intermediate calculations and final answer to the nearest whole dollar amount.) multiple choice $49,320 $20,750 $33,680 $34,259
The amount of interest expense that will be recognized during year 3 is $34,259 Option (D)
To calculate the interest expense recognized during year 3, we need to determine the carrying value of the bond at the beginning of year 3 and multiply it by the effective interest rate.
The carrying value of the bond at the beginning of year 3 can be calculated by subtracting the accumulated amortization from the initial bond issuance price.
Initial bond issuance price: $434,940
Discount on bonds payable (face value - issuance price): $415,000 - $434,940 = -$19,940
Using the effective interest method, the discount is amortized over the term of the bond. Since the bond has a 10-year term, the annual amortization can be calculated as follows:
Annual amortization = Discount / Term
Annual amortization = -$19,940 / 10 = -$1,994 (rounded to the nearest whole dollar)
To determine the carrying value at the beginning of year 3, we subtract the accumulated amortization from the initial bond issuance price:
Carrying value at the beginning of year 3 = Initial bond issuance price + Accumulated amortization
Carrying value at the beginning of year 3 = $434,940 + ($1,994 x 2) = $438,928
Finally, to calculate the interest expense during year 3, we multiply the carrying value at the beginning of year 3 by the effective interest rate of 8%:
Interest expense during year 3 = Carrying value at the beginning of year 3 x Effective interest rate
Interest expense during year 3 = $438,928 x 8% = $34,259 (rounded to the nearest whole dollar)
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A small metal shop operates 10 hours each day, producing 100 parts/hour. If productivity were increased 20%, how many hours would the plant have to work to produce 100parts?
Answer:
The factory produces 100 parts in 50 minutes.
Explanation:
Giving the following information:
Current productibity= 100 parts/hour
Increase in productivity= 20%
This means that the factory makes 120 parts an hour or 100 parts in:
120 parts= 60 minutes
100 parts= x
x= (100*60) / 120
x= 50 minutes
The factory produces 100 parts in 50 minutes.
Should citizens participating in
criminal trials should have some requirements such as someone who
has a degree? Or someone who makes at least $20,000 per year? Why
or why not?
Citizens participating in criminal trials should not be required to have a degree or make a certain amount of money per year. This is because such requirements would create inequalities in the justice system and violate the principle of equal protection under the law that is enshrined in the US Constitution.
First, requiring citizens to have a degree in order to participate in criminal trials would discriminate against those who cannot afford higher education. This would create an unfair advantage for those who are more affluent and better-educated, and it would prevent many people from serving on juries or as witnesses.
Secondly, requiring citizens to make a certain amount of money per year would also create inequalities. Poorer citizens would be excluded from participating in criminal trials, which would violate their rights to equal protection under the law. Moreover, wealth is not necessarily a measure of a person's ability to serve as a juror or a witness. A person's income level does not necessarily correlate with their intelligence, education, or integrity
.In conclusion,citizens should not be required to have a degree or make a certain amount of money per year in order to participate in criminal trials. Doing so would violate the principle of equal protection under the law, create inequalities, and prevent many people from participating in the justice system.
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are the costs related to the product that have to be paid regardless of the amount you sell.
A) Fixed cost
B) Opportunity costs
C) Variable costs
D) none of the above
Answer:
C) Variable costs
Explanation:
Select all that apply
Which of the following are examples of resources?
A.An oven used to bake bread at a bakery
B.Workers hired to pick grapes at a vineyard.
C.A new technology improving the production process for tractors.
D.Social Security payments made to retired workers.
Answer:
A. An oven used to bake bread at a bakery
B. Workers hired to pick grapes at a vineyard
A resource is something a business needs for its production. A and B both directly benefit production while C indirectly benefits it and D has no impact.
Note: Answer C is a technological resource but it indirectly affects production. Most people do not include it as a resource but occasionally some do.
Among all the given examples, the best examples of resources are:
An oven used to bake bread at a bakery
Workers are hired to pick grapes at a vineyard.
Hence, Options A and B are correct.
What are resources?There are various things present in the world that are available for the use of humans. The role of these things is to make the work of humans easy and at the same time provide support to humans.
The term that is used to denote these things is "resources." All a person has to do is ensure that all available resources are used to their full potential.
There are various natural as well as man-made resources available that can be used by humans. Some of the examples of resources are food, water, oil, coal, natural gas, metals, and many more.
Thus, Options A and B are correct.
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a company purchases inventory on account for $45,000 with terms 2/10, n/30. under the net method of accounting for purchases, the purchase would be recorded at:
A business pays $45,000 for inventory on account with periods of 2/10 and n/30. The purchase would be recorded as $44,100 using the net method of accounting for purchases.
Describe the net method.The net technique counts on the buyer benefiting from the cash discount. The original entries in the example's accounts payable or accounts receivable are for $490 rather than $500.
When the payment is made, the buyer books a $10 debit to purchase discounts lost, and the seller books a $10 credit to sales discounts forfeited if the buyer declines the discount. The net technique offers a little bit more information than the gross method since it highlights discounts that were not used.
Calculation:
A business or organization records its customer's invoices using the net approach. When recording purchases using the net method of accounting, the cash discount is taken into account.
Therefore,
Cost of acquisition: $45,000
Discount in cash at terms of 2/10 and n/30
$45000 x 2% = $45,000 x 0.02 =$900
The net purchase price is equal to $44,100 ($45,00 - $900).
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For each of the following scenarios, state whether descriptive, predictive, or prescriptive analytics tools would most likely be used. Complete parts a through h below. a. The chief financial officer for a small manufacturing firm would like to estimate the net profit that the firm could expect over the next three years. Which anayti tools would most likely be used for this scenario? Predictive Prescriptive Descriptive b. A human resource manager needs to understand whether the company's current employee mix has the shills and capabilities needed to achieve the goals laid out by a new strategio plan. Which analytics tools would most likely be used for this scenario? Descriptive Predictive Prescriptive
a. Predictive analytics tools would most likely be used for estimating the net profit over the next three years.
b. Descriptive analytics tools would most likely be used to understand the company's current employee mix and their skills and capabilities.
a. In the scenario where the chief financial officer of a small manufacturing firm wants to estimate the net profit over the next three years, predictive analytics tools would be most appropriate. Predictive analytics utilizes historical data, statistical models, and forecasting techniques to make predictions about future outcomes.
By analyzing past financial performance, market trends, and other relevant factors, predictive analytics can provide insights and estimates regarding the expected net profit for the firm over the specified period. This helps the CFO in making informed decisions and planning for the future.
b. When a human resource manager needs to assess whether the company's current employee mix possesses the skills and capabilities necessary to achieve the goals outlined in a new strategic plan, descriptive analytics tools are typically used. Descriptive analytics focuses on analyzing historical data to gain insights into past patterns, trends, and characteristics. In this case, the HR manager would analyze the existing employee data, such as their qualifications, experience, and skills, to assess the company's current workforce capabilities.
This information can help in identifying any skill gaps, strengths, or areas for improvement, enabling the HR manager to align the workforce with the strategic goals effectively.
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How important is money
Answer:
very important
Explanation:
money is a global income source for everyone. we all have different types but it is all still money. now say one country got rid of money and had people pay for stuff using other things. if china did that lots of different countries wouldn't be able to get stuff from there unless they had so much of that product they could just give it up.
please please help. i need 2,3, and 4 . it is due tomorrow
Answer:
2. Filing for bankruptcy is when the court decides whether to discharge your debts and those who owe are no longer legally required to pay them. It is on a credit report because it shows what you can pay for and what you can't.
3.Pay Your Bills on Time, Pay off Debt and Keep Balances Low on Credit Cards, and apply for and Open New Credit Accounts as Needed.
4.TransUnion, Equifax, and Experian.
Explanation:
marks) 3. Describe how you can acquire and maintain professional competencies? (5 marks 71 11
Acquiring and maintaining professional competencies involves a combination of continuous learning, practical experience, and ongoing professional development.
Acquiring and maintaining professional competencies requires a proactive approach toward learning and skill development. One can start by pursuing formal education or training programs that provide a strong foundation in the desired field. These programs help individuals gain knowledge, theoretical understanding, and practical skills related to their profession.
In addition to formal education, practical experience is crucial for developing professional competencies. Engaging in internships, apprenticeships, or entry-level positions allows individuals to apply their knowledge in real-world scenarios, gain hands-on experience, and learn from professionals in the field. Practical experience helps individuals develop specific skills, problem-solving abilities, and adaptability.
Continuous learning and staying updated with industry trends and advancements are essential for maintaining professional competencies. This can be achieved through various means, such as attending workshops, conferences, seminars, or participating in online courses. Additionally, reading industry publications, and research papers, and staying connected with professional networks can provide valuable insights and opportunities for growth.
Furthermore, seeking feedback and mentorship from experienced professionals, engaging in collaborative projects, and taking on challenging assignments can contribute to acquiring and refining professional competencies. It is important to embrace a growth mindset and actively seek opportunities for development throughout one's career journey.
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Which of the following is not an example of professional behavior
?
Discuss how you react to changes in the environment. For example, there is a change in your class schedule or a change in the price of your favorite food. Report on your reaction to changes in the environment.
-
Answer: my reaction would probably not be good
Explanation:
At the end of the video, there is the implication that "selling out" has a different meaning for today’s teens than for past generations. Do you think this is true? Explain.
Answer: No, it's still the same
Explanation:
Selling out is the process of having your product completely bought by your customers either at an event or through a period of a day sales. The meaning of the word "sold out" still holds for the past generation and also this generation or teens today
weekly demand for a particular item averages 30 units, with a standard deviation of 4. this item is managed with a fixed-order-interval model. the order interval is three weeks, and this item has a certain lead time of one week. the desired service level is 97.5 percent. assume that it is now time to place another order, and there are 43 units on hand. how many units should be ordered? multiple choice 93 136 46 120 84
93 units should be ordered.(OPTION A). With the option to combine all orders coming from the same supplier on the same date, you have genuine order scheduling capability for particular items using the fixed interval model.
As a result, there will be fewer general orders to make and better structured procurement and the goods-in operations. The different goods may reach reorder points at various times in a fixed interval model system, resulting in the numerous orders at random intervals. A fixed-period approach, on the other hand, could guarantee that inventory levels are verified consistently for all items, say once every two weeks.
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for a company making advanced technology, with highly specialized components, a customer divisional structure would be more effective than a modular structure.
Modular simply means something that has separate units, especially when each unit performs its own function and could be replaced by a similar unit for the same function. For a company making advanced technology, with highly specialized components, a customer divisional structure would be more effective than a modular structure is regarded as a false statement.
The Modular Structure Organizations put in several ways that show how the organization operates and performs.The structure carries along computer, automotive, appliances, and other companies making advanced technologies and using specialized components.
It is based on dividing the business into small, strong tied strategic business units, which is based on specific elements of the organizational process.
Conclusively, modularity is used often when dealing with technological and organizational systems and the modular organization is very flexible.
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The following costs were incurred by griff co., a manufacturer, during 20x4:
accounting and legal fees $ 25,000
freight-in 175,000
freight-out 160,000
officers' salaries 150,000
insurance 85,000
sales representatives' salaries 215,000
what amount of these costs should be reported as general and administrative expenses for 20x4?
a. $550,000.
b. $260,000.
c. $810,000.
d. $635,000.
The amount that must be reported as general and administrative expenses is $260,000.
accounting and legal fees = $ 25,000
freight-in = $175,000
freight-out = $160,000
officers' salaries = $150,000
insurance = $85,000
sales representatives' salaries = $215,000
Costs that are not specifically associated with the creation of goods or the provision of services are referred to as general and administrative costs. These expenditures, which are frequently categorised as overhead or indirect costs, cover a variety of things like accounting and legal fees, insurance, rent, property taxes, and officers' salaries.
Calculating the amount of general and administrative expenses -
= Accounting and legal fees + Insurance + Office Salaries
= 25,000 + 85,000 + 1,50,000
= 1,10,000 + 1,50,000
= 2,60,000
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explain the process that economists use to conduct a Cost-Benefit Analysis (CBA) for a high-speed rail
Answer:
A cost-benefit analysis is a systematic process that businesses use to analyze which decisions to make and which to forgo. The cost-benefit analyst sums the potential rewards expected from a situation or action and then subtracts the total costs associated with taking that action. Some consultants or analysts also build models to assign a dollar value on intangible items, such as the benefits and costs associated with living in a certain town.
KEY TAKEAWAYS
A cost-benefit analysis (CBA) is the process used to measure the benefits of a decision or taking action minus the costs associated with taking that action.
A CBA involves measurable financial metrics such as revenue earned or costs saved as a result of the decision to pursue a project.
A CBA can also include intangible benefits and costs or effects from a decision such as employees morale and customer satisfaction.
Cost-Benefit Analysis (CBA)
Understanding Cost-Benefit Analysis (CBA)
Before building a new plant or taking on a new project, prudent managers conduct a cost-benefit analysis to evaluate all the potential costs and revenues that a company might generate from the project. The outcome of the analysis will determine whether the project is financially feasible or if the company should pursue another project.
In many models, a cost-benefit analysis will also factor the opportunity cost into the decision-making process. Opportunity costs are alternative benefits that could have been realized when choosing one alternative over another. In other words, the opportunity cost is the forgone or missed opportunity as a result of a choice or decision. Factoring in opportunity costs allows project managers to weigh the benefits from alternative courses of action and not merely the current path or choice being considered in the cost-benefit analysis.
By considering all options and the potential missed opportunities, the cost-benefit analysis is more thorough and allows for better decision-making.
The Cost-Benefit Analysis Process
A cost-benefit analysis should begin with compiling a comprehensive list of all the costs and benefits associated with the project or decision.
The costs involved in a CBA might include the following:
Direct costs would be direct labor involved in manufacturing, inventory, raw materials, manufacturing expenses.
Indirect costs might include electricity, overhead costs from management, rent, utilities.
Intangible costs of a decision, such as the impact on customers, employees, or delivery times.
Opportunity costs such as alternative investments, or buying a plant versus building one.
Cost of potential risks such as regulatory risks, competition, and environmental impacts.
Benefits might include the following:
Higher revenue and sales from increased production or new product.
Intangible benefits, such as improved employee safety and morale, as well as customer satisfaction due to enhanced product offerings or faster delivery.
Competitive advantage or market share gained as a result of the decision.
An analyst or project manager should apply a monetary measurement to all of the items on the cost-benefit list, taking special care not to underestimate costs or overestimate benefits. A conservative approach with a conscious effort to avoid any subjective tendencies when calculating estimates is best suited when assigning a value to both costs and benefits for a cost-benefit analysis.
Finally, the results of the aggregate costs and benefits should be compared quantitatively to determine if the benefits outweigh the costs. If so, then the rational decision is to go forward with the project. If not, the business should review the project to see if it can make adjustments to either increase benefits or decrease costs to make the project viable. Otherwise, the company should likely avoid the project.
With cost-benefit analysis, there are a number of forecasts built into the process, and if any of the forecasts are inaccurate, the results may be called into question.
Limitations of the Cost-Benefit Analysis
For projects that involve small- to mid-level capital expenditures and are short to intermediate in terms of time to completion, an in-depth cost-benefit analysis may be sufficient enough to make a well-informed, rational decision. For very large projects with a long-term time horizon, a cost-benefit analysis might fail to account for important financial concerns such as inflation, interest rates, varying cash flows, and the present value of money.
The balance on a credit card, that charges a 20%
APR interest rate, over a 1 month period is given in
the following table:
Days 1-5: $200 (initial balance)
Days 6-20: $350 ($150 purchase)
Days 21-30: $150 ($200 payment)
What is the finance charge, on the average daily
balance, for this card over this 1 month period?
finance charge = $ [?]
Round to the nearest hundredth.
Enter
The balance on a credit card, that charges a 20% APR interest rate, the Finance charge is given as
$4.3055
This is further explained below.
What is the APR interest rate?Generally, The interest rate that is applied to a loan, mortgage loan, credit card, etc. is referred to as an annual percentage rate of charge, which sometimes corresponds to a nominal APR and sometimes corresponds to an effective APR.
The annual percentage rate of charge is the interest rate for the entire year, as opposed to just a monthly fee or rate. It is a fee for financing that is presented in the form of an annual rate.
Interest rate APR = 12%
Average balance = ((200*5)+(350*15)+(150*10))/30
Average balance = $258.33
Average balance*APR/12
Finance charge =\(\frac{258.33*20 \%}{12 }\)
Finance charge = $4.3055
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Which of the following is distribution focused on when thought of as a function of marketing?
Getting products to the best place place for customers to locate and obtain them is distribution focused on when thought of as a function of marketing.
What is distribution in marketing ?The act of sending commodities from one party to another is known as distribution. Between producers and consumers, the goods are divided.
the route that a product travels on to reach its ultimate consumer. Companies that engage in sales transactions to transfer goods from the producer to the consumer; sometimes known as intermediaries.
Distribution (or place) is one of the marketing mix's four components. Making a good or service accessible to the consumer or business user who needs it is the process of distribution. The producer or service provider may carry this out directly or through indirect channels, such as distributors or intermediaries.
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What is meant by demand-pull inflation?
The term "demand-pull inflation" refers to the phenomenon that occurs when rising demand for goods or services coincides with an inadequate supply, which in turn increases prices.
Demand-pull inflation is a type of inflation that occurs when there is an increase in aggregate demand for goods and services in an economy. This increase in demand leads to higher prices for those goods and services, which in turn leads to inflation. Demand-pull inflation can be caused by a number of factors, including an increase in consumer spending, an increase in investment spending, or an increase in government spending. It is one of the main types of inflation that economists look at when studying the economy, and it can have a significant impact on the overall level of prices in an economy.
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Al must build 25 radios before he receives $20. What schedule of reinforcement is being used?.
Al won't get $20 until he builds 25 radios. There is a fixed-ratio reinforcement schedule in place.
What exactly is fixed-ratio reinforcement?A fixed-ratio schedule is a reinforcement schedule in operant conditioning in which a response is reinforced only after a certain number of responses. Essentially, the subject provides a predetermined number of responses, after which the trainer provides a reward.
A fixed-ratio schedule has the advantage of producing a high, consistent rate of response with only a brief pause after the delivery of the reinforcer. By looking at it, you can understand what the term "fixed-ratio reinforcement schedule" means.
The term "fixed" refers to the regular distribution of rewards. The number of responses required to receive reinforcement is referred to as the "ratio."
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If an economy is in recession, discuss the differing effects created by a tax cut vs. A GDP-G increase to close the gap. Use the concept of multipliers in your answer.
Answer:
Explanation:
increase government spending will result in increased aggregate demand, which then increases the real GDP, resulting in an rise in prices. ... Conversely, to close an expansionary gap, the government would increase income taxes, which decreases aggregate demand, the real GDP, and then prices.
Economic recession takes place because of fluctuation within the variation. When the contraction point of the trade cycle prolongs or stays for quite six months then recession takes place in an economy. it's a situation when the entire economy shrinks down.
GDPwhen increased government spending will end in increased aggregate demand, which then increases the 000 GDP, as a lead to an increase in prices. Also Conversely, to shut an expansionary gap, the govt. would increase income taxes, which decreases aggregate demand, the important GDP, and also then prices.
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Mixed economies: Multiple select question. are slowly disappearing, since they are unsuccessful exist when the distribution of resources involves elements from more than one economic system have elements of more than one system have no businesses owned privately, only businesses owned by the state
There are different type of economies, Mixed economies exist when the distribution of resources involves elements from more than one economic system.
What is mixed economies?Mixed economy is a type of market system where resource are allocated and trade in market where free markets coexist with government intervention.
private companies and government owned both exist and share resources together.
Therefore, Mixed economies exist when the distribution of resources involves elements from more than one economic system.
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Hello pls help
3.08 free trade and barriers
Economic class
To get this visual item, you can choose a cartoon that shows a fat cook who says that to make nice food, you have to break some tins. The topic of this cartoon is that economic success requires breaking some barriers.
This cartoon and protectionismThis cartoon is against the idea of protectionism because it advocates measures that would break the barriers of nations to attain success.
You might add that you agree on this topic about free trade because no nation can exist successfully by itself. To attain success, they need to liaise with other nations through trade.
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what is 10+10 im having troubles help
Answer:
20
Explanation:
Simple
10 + 10 = 20
Answer:
20 lolbajahajwbwiqbqn
Compare two types of savings accounts?
yes...............................
Examine the strategic role of leaders in managing a digitaltransformation process.
The strategic role of leaders in managing a digital transformation process is critical to the success of the transformation. Leaders must not only understand the benefits of digital transformation, but also be able to create a roadmap that outlines the steps and processes required to achieve the desired outcomes.
Leaders must be able to effectively communicate the goals and objectives of the digital transformation to all stakeholders, including employees, customers, and investors. This includes identifying the key performance indicators (KPIs) that will be used to measure progress and success.
Effective leaders must also be able to identify the resources needed to implement the digital transformation, including technology, training, and talent. They must be able to prioritize investments based on the expected impact on the business, and ensure that the necessary resources are available when needed.
Finally, leaders must be able to manage the risks associated with digital transformation. This includes identifying potential threats to the business, such as cybersecurity threats, and putting in place measures to mitigate these risks.
Overall, the strategic role of leaders in managing a digital transformation process is critical to the success of the transformation. Effective leaders must be able to communicate the benefits of the transformation, identify the necessary resources, prioritize investments, and manage risks to achieve the desired outcomes.
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PLEASE HELP QUICK!!!
Which of the following is an advantage of buying your home over renting?
(1 point)
O You do not have to worry about the housing market in your area.
O The amount you pay each month is set by the terms of your mortgage.
O If something breaks, you have to fix it or pay to have it fixed.
O Your mortgage payments will far exceed the value of your home.
Answer:
The amount you pay each month is set by the terms of your mortgage.
Explanation:
connexus
When a site is unsafe, it means a. Your personal information may be used in ways you do not want c. Permission to use that site at school is always allowed b. That site is okay to visit often d. All of the above Please select the best answer from the choices provided A B C D
Answer:A, Your personal information may be used in ways you do not want
Explanation:
If it is a unsafe site than there for your personal information can go places you do not want them to.
When a site is unsafe, it means your personal information may be used in ways you do not want. Thus, option 'A' is the correct option.
What does it mean when a website is unsafe?External connections to websites with phishing, malware, or unwanted software are known as unsafe domains. Phishing is when a website imitates another one in an effort to fool visitors into divulging personal or financial information. When you visit an insecure website, you run the risk of having your personal information compromised and/or having malicious malware installed on your system.
Additionally, you can fall prey to a phishing attack, or someone else might watch your activity or use your resources for their own gain. If the content you're seeking to view is harmful or misleading, a warning will appear. These websites are frequently referred to as phishing or virus sites. If you clicked on a phishing link, the first thing you should do is immediately unplug your device from the internet.
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If an economist wishes to determine whether there is evidence that mean family income in a community exceeds $50,000, a. either a one-tail or two-tail test could be used with equivalent results. b. a one-tail test should be utilized. c. a two-tail test should be utilized. d. None of the above.
Answer:
b. a one-tail test should be utilized.
Explanation:
It can be said that the best way for the economist to make this determination would be to use a one-tail test. This is a statistical test in which the critical area of a distribution is one-sided, making it either exceed or fall short of a certain value, but not both as seen in the graph below. Which in this case, the certain value would be $50,000 and the information will be on either side. Thus showing the economist if the mean family income truly exceeds the $50,000