Hailey, Inc., has sales of $19,740, costs of $9,290, depreciation expense of $1,960, and interest expense of $1,450. Assume the tax rate is 40 percent. What is the operating cash flow, or OCF?

Answer:

The correct answer is letter "B": reduce productivity. Other things the same, this decrease will be larger in a poor country.

Explanation:

Labor productivity measures the units a worker can produce per hour. Capital, technology, and human development influence the labor productivity employees could have. Poor countries are characterized by having low investments. If the labor force increases but the capital remains stagnant, the level of productivity is likely to fall since there is a surplus in labor hand.

Final answer:

In short, an increase in working population tends to reduce productivity, which is likely to be more pronounced in a rich country because of the higher initial capital per worker. However, the correct option is that productivity decreases and is more impacted in a poor country. Option b is correct.

Explanation:

An increase in the working population has different effects on productivity depending on whether it's a rich or a poor country. In the short term, an increase in the working population is likely to reduce productivity because the same amount of capital is now spread over more workers, reducing the amount of capital per worker.

In a rich country, where the amount of capital per worker is typically higher, this reduction in productivity may be larger because the gains from additional labor are less when capital is already abundant. Conversely, in a poor country, where capital is scarce, adding more labor can actually make better use of the limited capital, such as in the example of more taxi drivers sharing a single vehicle to increase its time on the road and thus, its productivity. In this case, the decrease in productivity due to more workers sharing the same capital might be less pronounced than in a rich country.

Therefore, the correct answer is b. reduce productivity. Other things the same, this decrease will be larger in a poor country.

Answer:

Core process:

Explanation:

The value chain is considered to be that network that defines the way of distributing goods and services to the customers. It also consists of details of all transaction that is done throughout the process of distributing goods to the customers.

The Core Process is a process in involves in the value chain which handles the delivery of goods and services directly to the customers

Answer:

21.01 × 10⁴ m/s

Explanation:

Data provided in the question:

Potential difference between two parallel plates, V = 458 V

Mass of the alpha particle = 6.64 × 10⁻²⁷ kg

Charge released, q = 3.20 × 10⁻¹⁹ C

Distance between the plates, d = 40.6 cm

Now,

qV = [tex]\frac{1}{2}mv^2[/tex]

on substituting the respective values, we get

(3.20 × 10⁻¹⁹) × 458 = [tex]\frac{1}{2}\times(6.64\times10^{-27})v^2[/tex]

or

1465.6 × 10⁻¹⁹ = (3.32 × 10⁻²⁷)v²

or

v = 21.01 × 10⁴ m/s

Answer:

Probability, P(n) = 3/8

Explanation:  Let standard delivery be S and express delivery be E.

I) When the parcels were sent:

S(n) = 75/100 and E(n) = 25/100

II) When the parcels arrived:

S(n)← = 80/100 and E(n)← = 95/100

The probability a record of a parcel delivery is chosen, P(n) = S(n)*E(n) + E(n)*S(n) = 75/100*25/100 + 25/100*75/100

P(n) = 3/16 + 3/16 = 6/16

∴ P(n) = 3/8

Answer: True

Explanation: The slope of the production function measures the change in output for each additional unit of input (the marginal return). It can be observed that the production function becomes flatter as more number of input is added. This exhibits the property of diminishing marginal return where at some point, adding an additional factor of production results in smaller increases in output. At this point, the effectiveness of each additional unit of input decreases.

It should be noted that the shape of the production function reflects the law of diminishing marginal returns.

Production function, serves as the equation that explains the relationship that exists between the quantities of productive factors as well as the

amount of product obtained.

It helps to reflects the law of diminishing marginal returns.

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Answer:

Correct answer is c. $211,555.

Explanation:

Here inventory cost means total ordering cost plus total carrying cost for they year. This can be determine by using simple EOQ (economic order quantity) formula given below.

EOQ =((2* Annaul Requirement * cost per order)/carrying cost per unit)^ (1/2)

EOQ = ((2*800,000*540)/(370*14%))^(1/2)

EOQ = 4,084 units

so

Total order cost = 800.000/4,084 * 540 = 196 (aprox) *540 = 105,840 -A

Total Carrying cost = 4,084/2 * (370*14%) = 105,776-B

Total Cost = A+B = $ 211,555 (aprox)

Answer: The correct answer is "It guarantees a certain a level of quality.".

Explanation: It is called outsourcing in the business world, the process in which an organization hires other external companies to take over part of its activity or production.

The statement "It guarantees a certain a level of quality." is FALSE because there is no guarantee that outsourcing always means providing a certain level of quality.

The outsourcing has been unable to provide the quality of work to the organization. Thus, option D is correct.

The outsourcing can be defined as the business practice that has been carried out by the hiring of third party for performing a specific task. The outsourcing has been adopted with the decreased level of management.

The outsourcing has been capable of implementing the reduction in the risk factor, as the task has been performed by the third party and they have been responsible for the inappropriate task.

It has been characterized with the easy access as well as the economic profit. However, it has been unable to provide the quality of work to the organization. Thus, option D is correct.

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Answer:

The first company with detailed information.

Explanation:

Financial statements show the financial position of a company at a particular period in time. The various types are balance sheet, income statement, and cash flow statement.

The income statement shows more clearly value of the company.

When Ashton is studying the income statement, he will need as much detail as possible so that he can make informed decision to invest.

The company with detailed income statement will be a better option. The company with condensed income statement will most likely not reveal some important information that will present itself as an unpleasant surprise in the future.

Ashton is more likely to invest in the company with the condensed income statement. A condensed income statement provides a summary of the company's financial performance in a concise manner. This suggests that the company may be well-managed and focused on key financial metrics.

Ashton is more likely to invest in the company with the condensed income statement. A condensed income statement provides a summary of the company's financial performance in a concise manner, making it easier for Ashton to quickly identify key information. In contrast, a detailed income statement may be overwhelming and time-consuming to analyze.

Additionally, a condensed income statement indicates that the company has a good understanding of its financial performance and can present its information efficiently. This suggests that the company may be well-managed and focused on key financial metrics.

Therefore, Ashton is more likely to invest in the company with the condensed income statement as it provides a clearer and more efficient overview of the company's financial performance.

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Answer:

Dieker Company

Job Cost Sheet of

                        Job1                             Job2                                   Job3

Materials        $970                            $ 1520                                 $ 810

Factory Labor  $2390                      $ 1730                                  $1560

General Factory

Indirect material  $ 660                     $ 660                                 $ 660

Indirect labor      $ 1920                     $ 1920                                $ 1920

Total                   $ 5940                      $5830                             $  4950

Cost of Job 1

Materials          $ 970

Factory Labor $ 2390

G. Factory          $ 2580

Total                 $ 5940

Cost of Job 2

Materials          $ 1520

Factory Labor $ 1730

G. Factory          $ 2580

Total                 $ 5830

Cost of Job 3

Materials          $ 810

Factory Labor $ 1560

G. Factory          $ 2580

Total                 $ 4950

The job cost sheets for Job 1, Job 2, and Job 3 are $3,360, $3,250, and $2,370 respectively, calculated as the sum of each job's raw materials and labor costs.

This is about preparing job cost sheets. Here's how to do it for each of the three jobs.

Job 1

Raw materials: $970
Labor: $2,390 Total cost: $3,360

Job 2

Raw materials: $1,520
Labor: $1,730
Total cost: $3,250

Job 3

Raw materials: $810
Labor: $1,560
Total cost: $2,370

Each of these totals represents the combined cost of raw materials and factory labor assigned to each job. General factory use costs are typically not assigned to specific jobs but are accounted as overheads.

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Answer:

d.$1,371,000

Explanation:

Given that

Warranty liability at the beginning of year = $359,000

Warranty liability at the end of year = $308,000

Warranty expense = $44 million

Sales percentage = 3%

So, the warranty expense = $44,000,000 × 3% = $13,20,000

So, the warranty expenditures for 2018 is

= Beginning warranty liability + warranty expense - ending warranty liability

= $359,000 + $13,20,000 - $308,000

= $1,371,000

Answer and explanation:

American academic and author James Brian Quinn (1928-2012) found the following principles in large companies characterized by innovation: clear atmosphere and division; orientation to the market; small-size, flat organizations; multiple approaches; and, interactive learning.

Some of the innovative factors for company's establishment has been orientation, small, flat organization, multiple approaches, capital, freedom and encouragement.

James Brian Quinn has been American academic and author. He has been the inventor of managerial concept of intelligent enterprise.

According to James, the factor that has been led to the development of the company’s establishment has been:

The other factors that have been responsible for the company’s establishment have been flexibility, Availability of capital, incentives, along with freedom and encouragement.

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The company is using an accommodative strategy by accepting responsibility for a problem and doing all that society expects to solve that problem.

An accommodative strategy can be defined as a strategy when an organization chooses to claim responsibility for a crisis and works on the creation of strategies that would avoid the possibilities of future crises.

In business terms, an accommodative strategy is a strategy under which management takes a positive view towards Corporate Social Responsibilities and acts positively to fulfill the needs of society.

Therefore the correct option is C.

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Answer:

'Government Expenditure' not 'Government' is a component of GD[

Explanation:

GDP is the total value of goods & services produced in an economy during an year.

As per Expenditure method :

Answer:

Government expenditure---> total government spending on goods and services

net exports--->value of exports minus the value of imports

investment-->investment spending by business on new capital goods

consumption-->the amount households spend on consumer goods and services

Explanation:

Edmentum agreed with me.  ;)

Answer:

$1,760

Explanation:

The computation of the cost of goods sold is shown below:

As we know that

Cost of goods sold = Opening inventory units + purchase units - ending inventory units

= 100 units + 900 units - 200 units

= 800 units

Now the per unit is

= $1,980 ÷ 900 units

= $2.2

So, the cost of goods sold under the LIFO method is

= 800 units × $2.2

= $1,760

Answer:

The equity will decrease through retained earnigns for 3,000,000 dollars

Explanation:

The company's accounting will distribute the shares at the carrying value of the shares which is $5 per share as for them that is how much they are worth.

600,000 shares x $5 each = $3,000,000

retained earnings 3,000,000 debit

 investment on Comption        3,000,000 credit

The equity will decrease through retained earnigns for 3,000,000 dollars

Answer:

Here, The Manager class is a child class of Employee class. There is an “Is-A” relationship between the manager and employee classes. Here Manager class extends from Employee class. That means Manager “is an” Employee.

It means Manager class objects will have the fields of the Employee class but it cannot access them on its own as my Name, my Title and my Age are declared private. It has to use super keyword and super class methods and constructors to access those fields. But, Manager class can access mySalary on its own because it is declared protected. As a sub class object can call super class methods ( which are public and protected ), the sub class objects can access those field indirectly by using super class constructors and methods. It means the Manager class cannot directly control the Employee class fields without using Employee class constructors and methods.

Answer:

The opportunity cost of one pair of shoes for the United States is, while the opportunity cost of one pair of shoes for Canada is B. 5 apples; 2 apples

Explanation:

An American worker can make 20 pairs of shoes or grow 100 apples per day. The opportunity cost of 20 pairs of shoes for the United States are 100 apples. The opportunity cost of one pair of shoes for the United States = 100 apples/20 = 5 apples

A Canadian worker can produce 10 pairs of shoes or grow 20 apples per day.

The opportunity cost of 10 pairs of shoes for Canada are 20 apples.

The opportunity cost of one pair of shoes for Canada = 20 apples/10 = 2 apples

Answer:

Environmental scanning

Explanation:

Environmental scanning nos done by new businesses that are entering a new market and it involves gathering information about events within a market space and how they affect an organisation's internal and external environment. It is used to determine the future direction of the organisation.

Digital Control Enterprises is performing a environmental scan to determine if they will expand operations in Singapore.

Answer:

a.That its missions and aspirations are closely aligned with those of the entrepreneurial team

Explanation:

Separation between the investors and the management team of a business brings about business interest risk. The business interest risk is the probability that the investors interest will be different from the business management interest. In order to align their interests with that of the entrepreneurial team of a business, investors normally for missions and inspirations that are closely aligned with those of the entrepreneurial team.

This congruence is important for boosting investors` confidence in the entrepreneurial team, because it shows that the investors and the entrepreneurial team are on the same page.

Option B is obvious in all business. It can`t be a deciding factor.

Option C is incorrect for this context.

Answer:

$172,000

Explanation:

Given that,

A person having a amount today for investment = $86,000

Initial margin requirement = 50 percent

Therefore,

Maximum dollar purchase he can make is as follows:

= Amount of money available ÷ Initial margin requirement

= $86,000 ÷ 50%

= $86,000 ÷ 0.50

= ($86,000 × 100) ÷ 50

= $172,000

Therefore, the maximum amount of dollar purchase is $172,000.

To figure out when the dollar's purchasing power will be 3/4 of its current value with a 5% inflation rate, use the exponential decay formula. It will take approximately 5.8 years for the purchasing power to decrease to three-fourths at this inflation rate.

The question concerns how long it will take for the dollar's purchasing power to decrease to three-fourths of its current value with an ongoing inflation rate of 5%. This is a mathematical problem involving exponential decay of purchasing power over time.

To determine when the purchasing power will be 3/4ths of its current value, you can use the formula for exponential decay of purchasing power: P(t) = P0*(1 - r)^t, where P(t) is the purchasing power at time t, P0 is the initial purchasing power, r is the inflation rate, and t is time in years.

To find t, you set P(t)/P0 equal to 3/4ths and solve the equation for t when r is 0.05 (5%). The calculation will yield t ≈ 5.792, meaning it will take approximately 5.8 years for the value of the dollar to decline to three-fourths its current value at a 5% inflation rate.

Answer:

Explanation:

One approach to organization is putting activities that are similar under one person. Fayol called this ""unity of direction."" . Fayol was the first person who outlined the functions of management. He has fourteen principles of management; Unity of directions is one of the principle which narrates that  One boss, one plan for a group, of activities having the same objective. As unity of direction principle, it leads all the members of the organization towards a common goal to achieve its objective.

Final answer:

Henri Fayol proposed the principle of 'unity of direction,' suggesting that similar activities should be managed together, which relates to modern business practices emphasizing core competencies and specialized product lines.

Explanation:

The principle of unity of direction was espoused by Henri Fayol, a French mining engineer and a key figure in the development of modern concepts of management. Unity of direction means that activities which are similar in nature should be managed under one plan and by one manager. This principle aligns with the shift in organizational structures we observe in modern times, where there's a greater emphasis on flat organizational structures and centrality of teamwork. Despite the trend towards less hierarchy and increased collaboration across roles, Fayol's principles still echo in today's business practices where focusing on a core competency and specialized product lines often leads to better success for firms rather than spreading efforts across a wide range of products.

The executive role responsible for overall priority setting, project selection and prioritization, general guidance and encouragement is the Steering Team.

The executive role responsible for overall priority setting, project selection and prioritization, general guidance and encouragement is the Steering Team.

The Steering Team is usually made up of high-level executives who set the direction and make crucial decisions for the organization. They prioritize projects based on the organization's goals and strategic objectives. They also provide general guidance and encouragement to ensure projects stay on track.

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Final answer:

To earn $300,000, we need to set up an equation and solve for the number of units that need to be sold.

Explanation:

To calculate the total revenue, we multiply the selling price by the number of units sold. In this case, the selling price of the product is $125. Let's assume that the number of units sold is x. So, the total revenue is 125x.

With a 20% increase in the selling price and the variable costs, the new selling price would be 1.2 times the original selling price ($125 x 1.2).

Similarly, the new variable costs would be 1.2 times the original variable costs ($80 x 1.2).

To earn $300,000, the total revenue must be equal to the total costs, which include the variable and fixed costs.

So, we can set up the following equation: 1.2(125x) = (80 x 1.2)x + $45,000 + $300,000.

Solving this equation will give us the value of x, which represents the number of units that need to be sold to earn $300,000.

Answer:

1. General journal entries to record each transaction.

Jan. 1                         Dr.             Cr

Cash                      $103,000

Common Stock                      $103,000

Jan. 2                         Dr.             Cr

Inventory              $38,000

Account Payable                   $38,000

Jan. 4                           Dr.             Cr

Prepaid Insurance  $2,760

Cash                                           $2,760

Jan. 10                            Dr.             Cr

Account Receivable  $12,300

Sale                                             $12,300

Cost of Goods Sold   $7,300

Inventory                                     $7,300

Jan. 15                            Dr.             Cr

Cash                          $33,000

Note Payable                               $33,000

Jan. 20                            Dr.             Cr

Salary Expense         $33,000

Cash                                              $33,000

Jan. 22                            Dr.             Cr

Cash                           $10,300

Sale                                             $10,300

Cost of Goods Sold   $6,300

Inventory                                     $6,300

Jan. 24                            Dr.             Cr

Account Payable       $15,300

Cash                                              $15,300

Jan. 26                           Dr.             Cr

Cash                          $6,150

Account Receivable                     $6,150

Jan. 28                            Dr.             Cr

Utility Expense          $1,000

Cash                                              $1,000

Jan. 30                            Dr.             Cr

Rent Expense              $2,150

Prepaid Rent               $2,150

Cash                                              $4,300

2.

MS Excel File is attached for T accounts Posting in Worksheet Named as " T Account". Please Find that.

3.

MS Excel File is attached for unadjusted trial balance in Worksheet Named as " Trial Balance". Please Find that.

To compute the firm's accounting profit, subtract the total expenses ($950,000) from the sales revenue ($1 million), resulting in an accounting profit of $50,000 for the year.

The question concerns the calculation of a firm's accounting profit, which is determined by subtracting all expenses from sales revenue. To calculate the accounting profit, we take the firm's total sales revenue of $1 million and deduct the costs of labor, capital, and materials, which are $600,000, $150,000, and $200,000 respectively.

Accounting profit = Sales revenue - (Labor costs + Capital costs + Materials costs)
Accounting profit = $1,000,000 - ($600,000 + $150,000 + $200,000)
Accounting profit = $1,000,000 - $950,000
Accounting profit = $50,000

This calculated figure represents the firm's net income or accounting profit for the year, after accounting for the explicit costs.

Answer:

The bold letters indicate the changes made and the effects of the transactions.

Where OE= Owner's Equity

AR = Account Receivable

R= revenue

E= expenses

Asset = Liabilities + Owner's Equity

a  Cash = OE

+ 94,000= + 94,000

b Asset = Liabilities + Owner's Equity

Cash + Equipment = OE

+ 94,000                     =   + 94,000

- 19150       + 1950                      =

New

Balance  74,850 + 19150 = 94000

c.  Asset = Liabilities + Owner's Equity

Cash+ Equipment  = Accounts Payable     + OE

74,850 + 19150+ 13,200 =      13,200 +     94000

d. Asset = Liabilities + Owner's Equity

Cash+ Equipment  = Accounts Payable     + OE

74,850 + 19150+ 13,200 =      13,200 +     94000

-11,200                             =       11,200

+ 19150+ 13,200 =                   2000 +     94000

e  Asset = Liabilities + Owner's Equity

Cash+ Equipment  = Accounts Payable     + OE

74,850 + 19150+ 13,200 =   2000 +     94000

27,000                             =                     27000    

101,850 +19150+ 13,200 =   2000 + 121,000

f. Asset = Liabilities + Owner's Equity  + Revenue

Cash+ Equipment  = Accounts Payable     + OE + R

101,850 +19150+ 13,200 =   2000 + 121,000 + 7600

7600                                                                                .

109450+19150+ 13,200 =   2000 + 121,000 + 7600

g.  Asset = Liabilities + Owner's Equity  + Revenue

Cash+ Equipment + AR  = Accounts Payable     + OE + R

101,850 + 32350+ 5100 =   2000 + 121,000 + 7600 + 5100

101,850 + 32350+ 5100 =   2000 + 121,000 + 12700

h. Asset = Liabilities + Owner's Equity  + Revenue -Expenses

Cash+ Equipment + AR  = Accounts Payable     + OE + R- E

101,850 (- 3400)+ 32350+ 5100 =   2000 + 121,000 + 12700- 3400

98450+ 32350+ 5100 =   2000 + 121,000 + 12700- 3400

i. Asset = Liabilities + Owner's Equity  + Revenue -Expenses

Cash+ Equipment + AR  = Accounts Payable     + OE + R- E

98450( + 2900)+ 32350+ 5100(-2900) =   2000 + 121,000 + 12700- 3400

101350 + 32350+ 2200= 2000 + 121,000 + 12700- 3400

j.  Asset = Liabilities + Owner's Equity  + Revenue -Expenses

Cash+ Equipment + AR + Office Supplies  = Accounts Payable     + OE + R- E

101350(- 5860) + 32350+ 2200 + 5860= 2000 + 121,000 + 12700- 3400

k.  Asset = Liabilities + Owner's Equity  + Revenue -Expenses

Cash+ Equipment + AR + Office Supplies  = Accounts Payable     + OE + R- E

101350 + 32350+ 2200 + 5860= 2000 + 121,000 + 12700- 3400

-8400                                                                                         -8400

92950 + 32350+ 2200 + 5860= 2000 + 121,000 + 12700- 11800

The student's question about recording the transactions of Wrigley Home Appraisal Services involves applying the fundamental accounting equation (Assets = Liabilities + Owner’s Equity) to represent how each business activity affects the company's financial position.

The question involves recording the changes in assets, liabilities, and owner’s equity for Tommy Wrigley’s business transactions in equation form. In accounting, every transaction impacts the accounting equation, which states that assets equal liabilities plus owner’s equity (Assets = Liabilities + Owner’s Equity). We can represent each transaction with its effect on this equation.

The owner invested $94,000 in cash: Assets increase, Owner’s Equity increases.

Paid $19,150 for equipment: Assets increase, Cash (an Asset) decreases.

Purchased $13,200 of equipment on credit: Assets increase, Liabilities increase.

Paid $11,200 to creditors: Liabilities decrease, Cash decreases.

Additional investment of $27,000: Assets increase, Owner’s Equity increases.

Performed services for $7,600 in cash: Cash increases, Owner’s Equity increases (Revenue).

Performed services for $5,100 on account: Accounts Receivable increases, Owner’s Equity increases (Revenue).

Paid $3,400 for rent: Expenses increase (Owner’s Equity decreases), Cash decreases.

Received $2,900 from credit clients: Cash increases, Accounts Receivable decreases.

Paid $5,860 for office supplies: Office Supplies (an Asset) increase, Cash decreases.

Owner withdrew $8,400 for personal use: Cash decreases, Owner’s Equity decreases (Drawings).

Answer:

Explanation:

Since the fair value of the division is less than the carrying value of the division so the loss on impairment is recorded

The journal entry to record the impairment of the goodwill is shown below:

Loss on impairment A/c Dr $30,000

                       To Goodwill A/c $30,000

(Being loss on impairment is recorded)

The computation is shown below:

= Carrying value - fair value  

= $300,000 - $270,000

= $30,000

Final answer:

To record the impairment of goodwill, Ayayai Corporation would debit Loss on Impairment of Goodwill for $30,000 and credit Goodwill for the same amount, reflecting the decrease from the previously recorded $300,000 to the new implied goodwill of $270,000.

Explanation:

The student's question involves recording an impairment of goodwill for Ayayai Corporation's purchase of Johnson Company. Initially, goodwill of $300,000 was recorded, but due to impairment, the fair value decreased, and the implied goodwill is now at $270,000. To record the impairment loss, the company would need to make the following journal entry:

Answer:

A) $61,700

B) Kristen's contributions ($3,500) to her employer's 401(k) plan cause the difference between Boxes 3 and 5, and Box 1 in Kristen's second W-2 Form.

Explanation:

A) Kristen's taxable wages = Box 1 of the first W-2 Form: $18,700, plus Box 1 of the second W-2 Form: $43,000. If the group term life insurance was larger than $50,000, Kristen should have reported the premiums as part of her taxable income, but since the amount is lower ($30,000) it is not taxed.  

Answer:

[tex]a=0.2 -0.674*0.3=-0.00235[/tex]

So the value that separates the bottom 25% of data from the top 75% is -0.00235.  

Explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

[tex]X \sim N(0.2,0.3)[/tex]  

Where [tex]\mu=0.2[/tex] and [tex]\sigma=0.3[/tex]

For this part we want to find a value a, such that we satisfy this condition:

[tex]P(X>a)=0.75[/tex]   (a)

[tex]P(X<a)=0.25[/tex]   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.25 of the area on the left and 0.75 of the area on the right it's z=-0.674. On this case P(Z<-0.674)=0.25 and P(z>-0.674)=0.75

If we use condition (b) from previous we have this:

[tex]P(X<a)=P(\frac{X-\mu}{\sigma}<\frac{a-\mu}{\sigma})=0.25[/tex]  

[tex]P(z<\frac{a-\mu}{\sigma})=0.25[/tex]

But we know which value of z satisfy the previous equation so then we can do this:

[tex]z=-0.674<\frac{a-0.2}{0.3}[/tex]

And if we solve for a we got

[tex]a=0.2 -0.674*0.3=-0.00235[/tex]

So the value that separates the bottom 25% of data from the top 75% is -0.00235.