A large company has an inspection system for the batches of small compressors purchased from vendors. A batch typically contains 15 compressors. In the
inspection system, a random sample of 5 is selected and all are tested. Suppose there are 2 faulty compressors in the batch of 15.
(a) What is the probability that for a given sample there will be 1 faulty compressor?
(b) What is the probability that inspection will discover both faulty compressors?

Answers

Answer 1

Solution :

Given data :

Total number compressors in a batch = 15 compressors

Number of samples to be tested = 5

Let the number of faulty compressors out of 15 compressors = 2

a) Therefore, the ways of selecting [tex]1[/tex] faulty and [tex]4[/tex] good compressor is

[tex]$=^2C_1 \times ^{13} C_4$[/tex]

The total number of ways = [tex]$^{15}C_5$[/tex]

Therefore, the probability is

[tex]$=^2C_1 \times ^{13}C_4 \times ^{15} C_5$[/tex]

[tex]=0.4761[/tex]

b). Number of ways for selecting [tex]2[/tex] faulty and [tex]3[/tex] good compressor is

[tex]$^{13}C_3[/tex]

Thus the probability

[tex]$=\frac{^{13}C_3}{^{15}C_5}$[/tex]

[tex]$=0.0952$[/tex]


Related Questions

In addition to cost, what factors should be considered in selecting a building contractor? What can go wrong if the lowest bid is selected and nothing else is considered?

Answers

Answer:

The proper answer about what the question asked is explained below.

Explanation:

To begin with, when it comes to the construction area there are a lot of factors to consider at the time of selecting a building constructor. It is not just about the cost, but most importantly of all about the level of quality and recognition the constructor has in its business area. As well as the knowledge that will come all in the same package because the person that is in charge of constructing a building must be a professional in that. So eventhough the cost is important for the business the quality of the service hired is further more important. That is because in the case the lowest bid is selected and it turns out that it is not a very good one then future trouble can come with that decision, like piping problems or gas problems or structures problems, etc. And that will not only led to more future expenses but also to possible damage to some lives.

Using the Chipotle example we have discussed in class imagine that all employees are paid $15/hour, the grill costs $300, and each cash register costs $200. All other utensils and items come at zero cost. Applying the principles of business process improvement that we have discussed in class, what is the lowest cost Chipotle can achieve with the highest flow rate

Answers

Answer:

The correct answer will be "$620".

Explanation:

It is important to note that certain principles are involved in the process of streamlining business processes, including:

Interpersonal skills of the organizational leaders.Client focus entirely, defined objectives, accuracy, and so on., are encouraged.

The lowest cost will be:

= [tex](15\times 8)+300+200[/tex]

= [tex]120+300+200[/tex]

= [tex]620[/tex] ($)

Chipotle can achieve the lowest cost of $ 620 with the highest flow rate. Thus, the correct answer would be "$ 620".

What are the principles of business process improvement?

Collect User Information (UX), Customer Information (CX), and Organizational Change Management.Do not think that a change in technology will change your processes.Improve and renovate.End-to-end continuous improvement.

The lowest cost can be achieved:

[tex]= (15\times8)+ \$200 + \$300\\\\= \$620[/tex]

Thus, the correct answer is $620, which is the lowest cost chipotle can achieve with the highest flow rate.

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A campus deli serves 200 customers over its busy lunch period from 11:00 a.m. to 1:00 p.m. A quick count of the number of customers waiting in line and being served by the sandwich makers shows that an average of 10 customers are in process at any point in time. The average amount of time that a customer spends in process is _______ minutes (round to the nearest integer).

Answers

Answer: 2 hours

Explanation:

TB MC Qu. 08-104 Marlow Company purchased a point of... Marlow Company purchased a point of sale system on January 1 for $3,400. This system has a useful life of 10 years and a salvage value of $400. What would be the depreciation expense for the first year of its useful life using the double-declining-balance method

Answers

Answer:

$680

Explanation:

Calculation to determine What would be the depreciation expense for the first year of its useful life using the double-declining-balance method

Depreciation expense=3400*(100%/10 * 2)

Depreciation expense=3400*.2

Depreciation expense= 680

Therefore What would be the depreciation expense for the first year of its useful life using the double-declining-balance method is $680

tổ chức kiểm toán nội bộ cho hoạt động quản lý hàng tồn kho

Answers

Answer:

Hmmmmmmmm its động

Explanation:

Yw

Answer:

I don’t know

Explanation:

Miller and Sons' static budget for 10,500 units of production includes $41,000 for direct materials, $50,300 for direct labor, variable utilities of $7,600, and supervisor salaries of $14,600. A flexible budget for 12,100 units of production would show Round your final answer to the nearest dollar. Do not round interim calculations. a.the same cost structure in total b.direct materials of $47,248, direct labor of $57,965, utilities of $8,758, and supervisor salaries of $14,600 c.direct materials of $47,248, direct labor of $57,965, utilities of $8,758, and supervisor salaries of $17,520 d.total variable costs of $113,500

Answers

Answer:

b.direct materials of $47,248

Direct labor=$57,965

Variable Utilities=8,758

Supervisor salaries $14,600

Explanation:

Computation of flexible budget

FLEXIBLE BUDGET

Direct materials

$41,000/10,500*12,100

Direct materials= $47,248

Direct labor=50,300/10500*12100

Direct labor=$57,965

Variable Utilities

=7600/10500*12100

Variable Utilities=8,758

Supervisor salaries $14,600 Fixed cost

Guillermo's Oil and Lube Company is a service company that offers oil changes and lubrication for automobiles and light trucks. On average, Guillermo has found that a typical oil change takes 24 minutes and 6.2 quarts of oil are used. In June, Guillermo's Oil and Lube had 980 oil changes. Guillermo's Oil and Lube Company provided the following information for the production of oil changes during the month of June:

Actual number of oil changes performed: 980
Actual number of direct labor hours worked: 386
Actual rate paid per direct labor hour: $14.50
Standard rate per direct labor hour: $14.00

Required:
a. Calculate total direct labor variance for oil changes in June?
b. Calculate The Direct Labor Rate Variance (LRV) and Direct Labor efficiency variance (LEV)

Answers

Answer:

that hurts my brain when I try to think of the answer

Your division is considering two investment projects, each of which requires an up-front expenditure of $17 million. You estimate that the investments will produce the following net cash flows:

Year Project A Project B
1 $4,000,000 $20,000,000
2 10,000,000 10,000,000
3 20,000,000 6,000,000

Required:
a. What are the two projects' net present values, assuming the cost of capital is 5%?
b. What are the two projects' net present values, assuming the cost of capital is 10%?
c. What are the two projects' net present values, assuming the cost of capital is 15%?
d. What are the two projects' IRRs at these same costs of capital?

Answers

Answer:

A

Explanation:

trust the brain bro.....

Universal Air is a no-growth firm and has two million shares outstanding. It expects to earn a constant $20 million per year on its assets. If it has no debt, all earnings are paid out as dividends, and the cost of capital is 10 percent, calculate the current price per share of the stock.

Answers

Answer:

$100/share

Explanation:

Calculation to determine the current price per share of the stock.

First step

EPS = DPS = $20,000,000/($20,000,000*10%)

EPS = DPS = $20,000,000/$2,000,000

EPS = DPS = $10 per share

Now let determine the current price per share of the stock

P0 = 10/0.10

P0= $100/share

Therefore current price per share of the stock is $100/share

Entry for Jobs Completed; Cost of Unfinished Jobs
The following account appears in the ledger prior to recognizing the jobs completed in August:
Work in Process
Balance, August 1 $8,920
Direct materials 72,520
Direct labor 78,230
Factory overhead 41,120
Jobs finished during August are summarized as follows:
Job 210 $36,140
Job 216 22,090
Job 224 42,170
Job 230 78,310
a. Journalize the entry to record the jobs completed.
b. Determine the cost of the unfinished jobs at August 31.
$

Answers

Answer:

a. Journal Entry to record the jobs completed:

Debit Finished Goods Inventory $178,710

Credit Work in Process $178,710

To record the jobs completed.

b. The cost of the unfinished jobs at August 31 is:

= $23,080

Explanation:

a) Data and Analysis:

Work in Process

Account Titles        Debit      Credit

Balance, August 1  $8,920

Direct materials     72,520

Direct labor            78,230

Factory overhead   41,120

Finished goods inventory   $178,710

Balance (unfinished jobs)     23,080

Total                  $201,790 $201,790

Jobs finished during August are summarized as follows:

Job 210  $36,140

Job 216   22,090

Job 224   42,170

Job 230   78,310

Total     $178,710

a. Journal Entry Analysis to record the jobs completed:

Finished Goods Inventory $178,710 Work in Process $178,710

b. The cost of the unfinished jobs at August 31 is:

= Total of work in process Minus Finished Goods

= $201,790 - $178,710

= $23,080

Your only child will go to college 10 years from now. Your salary is $80,000 a year, and is expected to rise with inflation, which is about 3% annually. Tuition is currently about $40,000 a year, but growing by 5% yearly. What percentage of your salary would go to pay for the first year of your child's college education

Answers

Answer:

60.60%

Explanation:

The computation of the percentage of your salary would go to pay for the first year of your child's college education is given below:

The salary after 10 years would be

= 80000 × 1.03^10

= 107513.31.

Now Similarly, the college fees after 10 years would be

= 40000 × 1.05^10

= 65155.78.

So, the percentage would be

= 65155.78 ÷ 107513.31

= 60.60%

Dake Corporation's relevant range of activity is 3,200 units to 8,000 units. When it produces and sells 5,600 units, its average costs per unit are as follows:
Average Cost per Unit
Direct materials $ 6.55
Direct labor $ 3.50
Variable manufacturing overhead $ 1.30
Fixed manufacturing overhead $ 3.00
Fixed selling expense $ 0.90
Fixed administrative expense $ 0.60
Sales commissions $ 0.70
Variable administrative expense $ 0.60
If 4,600 units are produced, the total amount of direct manufacturing cost incurred is closest to:____.
A) $63,560.
B) $16,800.
C) $87,640.
D) $80,360.

Answers

Answer:

the direct manufacturing cost is $46,230

Explanation:

The computation of the direct manufacturing cost is given below;

= (direct material per unit + direct labor per unit) × number of units produced

= ($6.55 + $3.50) × 4,600 units

= $46,230

hence, the direct manufacturing cost is $46,230

This is the answer but the same is not provided in the given options

The same should be considered

United States exports soybean oil to China. However, to protect the Chinese soybean oil market, Chinese government has high tariff in place for U.S. soybean oil exports. Explain how United States can make plant location decisions to avoid paying high tariffs and still sell soybean oil in China.

Answers

Answer:

United States can set up plants in China to avoid high tariffs

The assets and liabilities of Thompson Computer Services at March 31, the end of the current year, and its revenue and expenses for the year follow. The capital of the owner was $185,200 at April 1, the beginning of the current year. Mr. Thompson invested an additional $15,200 in the business during the year.

Accounts payable $1,200 Miscellaneous expense $470
Accounts receivable 9,860 Office expense 690
Cash 32,300 Supplies 1,670
Fees earned 82,110 Wages expense 34,330
Land 47,500 Drawing 5,400
Building 151,490

Required:
Prepare a statement of owner's equity for Thompson Computer Services for the current year ended March 31.

Answers

Answer:

Thompson Computer Services

Thompson Computer Services

Statement of Owner's Equity for the current year ended March 31

Capital, Thompson            $185,200

Additional investment           15,200

Total Capital, Thompson $200,400

Net income              46,620

Drawing                     5,400

Retained earnings             $41,220

Owner's Equity               $241,620

Explanation:

a) Data and Calculations:

Beginning balance:

Capital, Thompson            $185,200

Additional investment           15,200

Total Capital, Thompson $200,400  

Cash 32,300

Accounts receivable 9,860

Supplies 1,670  

Land 47,500  

Building 151,490

Accounts payable $1,200

Capital, Thompson 200,400

Drawing 5,400

Fees earned 82,110

Wages expense 34,330

Miscellaneous expense 470

Office expense 690

Fees earned              $82,110

Wages expense         34,330

Miscellaneous expense 470

Office expense              690

Total expenses      $35,490

Net income            $46,620

Drawing                     5,400

Retained earnings $41,220

Differences in net operating income between absorption costing and variable costing are due to the ______. Multiple choice question. amount of sales revenue reported timing of when fixed manufacturing overhead is expensed amount of selling and administrative cost expensed format of the income statements

Answers

Answer:

timing of when fixed manufacturing overhead is expensed

Explanation:

When there is the difference with respective to the net operating income under the absorption costing and the variable costing so it is because of the timing when the fixed manufacturing overhead should be incurred or expensed

So as per the given situation, second option is correct

And, the same should be relevant

Ashley received a raise at work that increased her monthly income from $1,000 to $1,250. Last year, Ashley bought 20 slices of cheesecake for her birthday party. Due to her increase in income, she is able to buy 24 slices for her birthday this year. Using the mid-point formula, the income elasticity is _________ and the cheesecake slices are __________ goods.

Answers

Answer:

0.8; normal

Explanation:

Ashley received a raise at work that increased her monthly income from $1,000 to $1,250. Last year, Ashley bought 20 slices of cheesecake for her birthday party. the income elasticity is 0.8 and the cheesecake slices are normal goods. This is further explained below.

What are goods?

Generally, goods are simply defined as objects to be carried, as opposed to passengers

In conclusion, Ashley bought 20 servings of cheesecake for her birthday celebration last year. The elasticity of income is 0.8, and the cheesecake slices are ordinary products.

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HELPPP PLEASE !
1. Write one paragraph about a person who decides that taking an hourly job with
tips is a better choice than accepting a salaried job with benefits.

Answers

We want to help the user to understand why it gives more preference to the hourly job as compared to the salaries job with benefits

The reasons why the hourly job is better than accepting the salaried job with benefits are as follows:

Hourly job considered to be the goods job for earning the money in haste or at the time when the insurance & vacation should not be considered as the deciding factor. The question that arises is that you are searching for a job or interested to run a family business that has various benefits.Salary jobs provides the compensation along with the other benefits the company provides like insurance, vacation time, incentives, life insurance. In the case of hourly job, the number of hours they actually work and how much energy they would put into their work. They could choose their time also eligible for overtimeIn the case of salaried job, the same amount of money should be provided but along with it the stress should be there like working on weekends, working 10-12 hours a day, etc

Therefore in these ways  hourly job is better than accepting a salaried job with benefits

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To initiate a strategic move that allows a firm to open up new and uncontested market space through value innovation, managers must address four key questions when formulating a blue ocean business strategy.

a. True
b. False

Answers

True I just took the test on edge

If a $500 billion increase in investment spending increases income by $500 billion in the first round of the multiplier process and by $450 in the second round, income will eventually increase by:_________
A. $2,500 billion
B. $3000 billion
C. $4,000 billion
D. $5,000 billion

Answers

Answer:

D. $5,000 billion

Explanation:

quizlet

In Investment Multiplier concept If a $500 billion increase in investment spending increases income by $500 billion in the first round of the multiplier process and by $450 in the second round, income will eventually increase by $5,000 billion. Option D is Correct.

What is Investment Multiplier?

The idea that every increase in public or private investment spending has a greater than proportionately favorable influence on aggregate income and the overall economy is known as the "investment multiplier." It is based on John Maynard Keynes' economic theories.

The investment multiplier is the ratio of change in Y to changes in I where Y = investment and I = investment. It can be derived from the equilibrium equation (Y = C + I + G) and the consumption equation (C = a + bY).

Thus with rise in multiplier by $450 and then income will elevated to $5000 Billion.

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Required information Skip to question [The following information applies to the questions displayed below.] The Tennis Times (TTT) is a publisher of magazines. Its accounting policy for subscriptions follows: Revenues Revenues from our magazine subscription services are deferred initially and later recognized as revenue as subscription services are provided. Assume TTT (a) collected $420 million in 2018 for magazines that will be distributed later in 2018 and 2019, (b) provided $204 million of services on these subscriptions in 2018, and (c) provided $216 million of services on these subscriptions in 2019. Required: Using the information given, indicate the accounts, amounts, and accounting equation effects of transactions (a), (b), and (c). (Enter any decreases to assets, liabilities, or stockholders equity with a minus sign. Enter your answers in whole dollars.)

Answers

Answer:

The solution to the given question is defined in the attached file please find it.

Explanation:

According to CEO John Hillerich, treating others with respect is part of the organization's
a)history
b)structure
c)culture
d)leadership
e)decision making

Answers

'Culture' is denoted as 'the beliefs, values, behavior, and habits' that characterize an organization or a society.'

As per the statement of the organization's CEO, the display of respect and dignity towards fellow employees would be a part of its:

c). Culture

The culture of an organization primarily includes:

The common behavioral norms and patterns.A set of standard beliefs and values to be followed by all.The standard practices and attitudes are to be displayed throughout the work.

Thus, respecting one another would be a component of the organization's culture of not discriminating against any employee within the business premises.

Learn more about 'organization' here:

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Suppose that the equilibrium price and quantity for 1 bedroom apartments in Orange County is $2,000 and 250,000 respectively. What is the most likely outcome from the Orange County Board of Supervisors' implementation of a price ceiling at $2,500 for a 1 bedroom apartment

Answers

Answer: c. No effect

Explanation:

This is a non-binding price ceiling. A none-binding price ceiling is a price ceiling that is higher than the equilibrium price for a commodity in the market. As a result, there will be no effect on the market.

The reason being that a price ceiling is a price that companies and people are not meant to exceed. If this price is already higher than the equilibrium price, there would be no need to exceed or go below it it so there would be no effect.

The stock brokerage firm of Blank, Leibowitz, and Webber has analyzed and recommended two stocks to an investor. The investor was interested in factors such as short-term growth, intermediate growth, and dividends rates. The data on each stock is as follows: STOCK ($) FACTOR LOUISIANA GAS AND POWER TRIMEX INSULATION COMPANY Short-term growth potential, per dollar invested 0.36 0.24 Intermediate growth potential (over next 3 years), per dollar invested 1.80 1.50 Dividend rate potential 4% 8%The investor has the following goals: an appreciation of no less than $720 in the short term, an appreciation of at least $5000 in the next three years, and a dividend income of at least $200 per year. What is the smallest investment the investor can make to meet these three goals.

Answers

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Ms. Colonial has just taken out a $150,000 mortgage at an interest rate of 6 percent per year. If the mortgage calls for equal monthly payments for 20 years, what is the amount of each payment? (Assume monthly compounding or discounting.)
How do you solve this w/o a financial calculator?

Answers

Answer:

1. The monthly payment is:

= $1,074.65

2. To solve this without a financial calculator, you will calculate the future value of the $150,000 at a discount rate of 0.5% (6%/12) for 240 months.  Then the calculated Future Value is divided by 240 to obtain the monthly payment.

Explanation:

a) Data and Calculations:

Mortgage = $150,000

Interest rate = 6% per year

Monthly payments = 240 (20 * 12)

Period of mortgage = 20 years

N (# of periods)  240

I/Y (Interest per year)  6

PV (Present Value)  150000

FV (Future Value)  0

Results

PMT = $1,074.65

Sum of all periodic payments = $257,915.18

Total Interest = $107,915.18

Without a financial calculator (using future value table):

Future value factor of 0.5% for 240 = 1.7194345

Future value of $150,000 = $257,915.18 ($150,000 * 1.7194345)

Monthly payment = $1,074.65 ($257,915/18/240)

In the manufacture of 9,400 units of a product, direct materials cost incurred was $174,900, direct labor cost incurred was $109,800, and applied factory overhead was $44,200. What is the total conversion cost?

Answers

Answer:

$154,000

Explanation:

Calculation to determine the total conversion cost

Using this formula

Total conversion cost=Direct labor cost incurred

+Applied factory overhead

Let plug in the formula

Total conversion cost =$109,800+$44,200

Total conversion cost=$154,000

Therefore Total conversion cost is $154,000

Assume market interest rates have risen substantially in the 5 years since an investor purchased Treasury bonds that were offering a 3% return over their 15-year life. If the investor sells now, he or she is likely to realize a total return that is:__________
A. greater than 6%.
B. less than 6%.
C. equal to 2%.
D. equal to 6%.

Answers

Answer: B. less than 6%.

Explanation:

Market interest rates have risen since the investor purchased the treasury bonds which means that the treasury bonds will be less sought after now because they offer a lower return than can be found in the market even if risk adjusted.

The investor will therefore only be able to sell it for a lower price which means that they will receive a lower rate for it. As we cannot say for certain what this rate will be, it is best to say that it will be under 6%.

If the average annual rate of return for common stocks is 11.7 percent, and 4.0 percent for U.S. Treasury bills, what is the average market risk premium?

Answers

Answer:

7.7%

Explanation:

Risk premium is the return an investor would want for holding a risky bond. It is the excess return earned over holding a risk free bond

Risk premium = return on risky asset - return on U.S. Treasury bills

The U.S. Treasury bills is considered to be risk free because the US government cannot default

On the other hands, stocks are risky because companies can default on payment of dividends due to various reasons e.g. insolvency

11.7 - 4 = 7.7%

A bookstore organizes its stock by topic. It has a mystery novel section, a romance novel section, a how-to-do-it section, a travel book section, etc. The bookstore is obviously using a _____ presentation. horizontal style/item usage book cover

Answers

Answer:

The correct answer is the second option: Item usage book cover.

Explanation:

To begin with, in the field of business management that focus specifically in the bookstores when they talk about an "item usage book cover" presentation it means that the managers decide to organize the stock by topic and that is related to the book cover and therefore to its item so that is why that they would have a mystery novel section, a romance novel section and much more of that. So every customer will understand inmediately that the bookstore is structured by the item of the book that could be easily recognize sometimes with its cover.

planning practices are different from organization to organization. do you agree?
explain

Answers

Answer:

yes I agree

Explanation:

because different organizations manufacture or provide different goods and services so it's not possible for them to have the same planning practices take for instance an organization that deals with the provision of food to refugees and an organization that deals with the manufacturing of goods these two organizations will plan differently on how to go about with there businesses.

I hope this helps

The following transactions took place in Boeing Business.
01.03.2021 - Purchase of goods costing Rs. 150000 from Airbus
company on credit.
05.03.2021 - Return of goods costing Rs. 30000 to Airbus
20.03.2021 - Sale of goods costing Rs. 100000 for Rs. 160000 on
credit
29.03.2021 - Payment of sales commission of Rs. 10000
02.04.2021 – Settlement of the full amount due to Airbus
What is the accounting equation which shows the net impact of the
above transactions in Boeing business as at 31.03.2021?
Assets
Liabilities
+
Equity

Answers

Answer:

1) Dr: Goods/Inventory (Asset increase) 150000

Cr: Payable (Liability increase) 150000

2) Dr: Payable (Liability decrease) 30000

Cr: Goods (Asset decrease) 30000

3) Dr: Payable (Liability decrease) 30000

Cr: Goods (Asset decrease) 30000

4) Dr: Receivables (Asset increase) 160000

Cr: Goods (Asset Decrease) 100000

Cr: Profit and loss (Equity increase) 60000

5) Dr: Commission Expense (Equity decrease) 10000

Cr: Cash (Asset Decrease) 10000

6) Dr: Payable (Liability decrease) 120000

Cr: Cash (Asset Decrease) 120000

Other Questions
Plz explain q22 in detail, and if you could the fastest way to do it. How can you minimize the risk from your investments?A. by investing in a stock with the highest volatilityB. by investing in a stock with maximum returnsC. by investing in a variety of investment options _____ stock is the number of shares that a corporation's charter allows it to sell. The number of these shares usually exceeds the number of shares issued (and outstanding), often by a large amount. 2. The containment policy of the Truman administration: A. Became the basis for American foreign policy in the post-WWII period B. Had little support from policy makers in Washington D.C. C. Was designed by Dean Acheson D. Fostered strong relations between the United States and the Soviet Union Exercise 1: Put the verbs in brackets into the present perfect or the present perfect progressive1. I _______just ________my book.( finish) 2. He _______already _____________his lessons. ( prepare) 3. He ___________my sister since he was very young.(love) 4. We ___________________El for 4 years.(learn) 5. I ________________for two hours (wait), but she ________________yet. ( not come)6. This is the first time I _____________________to Paris. ( be)7. I_______________ that film several times because I like it. ( see)8. I __________________that novel written by Hemingway several times before. ( read)9. Up to the present / So far, we _______________almost every lesson in the book. ( write)10. We____________________to New York lately. (travel) 11. I ______________________him recently (not see)12. __________you ever _________________Huong Pagoda? ( visit)13. You look hot- Yes, I _______________________ (run)14. Carol _________________________on the phone for two hours. ( talk)15. Wheres Sarah? Shes outside. She __________the gardening all this morning. ( do)16. My sister _______________for you since yesterday. ( look)17. I ________________ all afternoon (run)18. She __________________ to meet him all day ( hope)19. I ____________ never __________her before ( see)20. _________ he __________ the report since this morning? (type)Exercise 2: Choose the best answer1. We often __________e-mail to keep in touch with our friends. A. use B. is using C. uses D. have used2. Nicola and Peter always ______________the lesson carefully before going to school. A. prepares B. prepared C. have prepared D. prepare3. It ____________now. Lets find somewhere to hide.A. rains B. is raining C rained D. was raining4. ______________their holidays in Canada every year ? A. Do they spend B. Did they spend C. Have they spent D. Are they spending5. I ___________________to Mom right now. Do you want to say anything to her? A. wrote B. am writing C. had written D. writeGVBM: Nguyn Th Ngc Dip6. I ___________in this house since I___________________born. A. lived / was B. have lived / were C. had lived / am D. have lived / was7. I usually ______________to school by bus. A. went B. am going C. go D. have gone8. How long ___________you ____________her ? For five months. A. do / know B. are / knowing C. have / known D. had / known9. Please dont make so much noise. I ______________. A. studying B. study C. am studying D. studied10. George _______me from Italy. A. has just called B. had just called C. has called just D. just had called11. It _________now. It ________raining two hours ago. So it ________for two hours. A. is raining / began / has rained B. is raining / begun / rained C. rains / began / has rained D. is raining / begun / have rained 12. Mike is playing chess. How long _________he ___________? A. did / play B. is / playing C. has / play D. has / been playing13. My sister __________for you since yesterday. A. is looking B. was looking C. has been looking D. looked 14. We ______________Dorothy since last Saturday. A. dont see B. havent seen C. didnt see D. hadnt seen15. Mary _______________her parents since last Christmas / 2011. A. havent visited B. hasnt visited C. doesnt visit D. isnt visit16. This is the first time I _____________________to Paris. A. am B. have been C. am being D. havent been17. I_______________that film several times because I like it. A. have seen B. havent seen C. dont see D. am seeing18. I __________________that novel written by Hemingway several times before. A. read B. am reading C. have read D. have been read19. Up to the present / So far, we _______________almost every lesson in the book. A. write B. have written C. are writing D. hasnt written20. Fred usually ______________to work, but this week he ____________his car. A. walks / is driving B. walks / drives C. has walked / drives D. is walking / drive The end f(x)=-(x+2)^2+3 put in standard form If the sequence 2, 4, 6, 10, 16, ... were to follow the same pattern as the Fibonacci sequence, what are the next three terms? Suppose the discrete random variable X has the probability distribution below:X 0 1 2 3 4P(X) 0.11 0.52 0.19 0.12 0.061pt a right parenthesis space F i n d space P left parenthesis X less than 3 right parenthesis2pt b right parenthesis space F i n d space P left parenthesis X greater or equal than 1 right parenthesis2pt c right parenthesis space F i n d space mu subscript X2pt, 1pt d right parenthesis space F i n d space sigma subscript X squared space a n d space sigma subscript X 3/4 - 3/5please give me answer The midterm exam will have a total of 108 marks and there are twice as many 05 marks questions than 02 marks questions. Each question is worth either 02 marks or 05 marks. Find out how many questions of each value there are in the online test? Using the Venn diagram (above) can you come up with some ways that the different perspectivesoverlap? What do they all have in common? Write a few words of commonalities for each overlap inthe Venn diagram. Can you find one in common for all three? Which atom's ionization energy is greater than that of phosphorus (P)?A. BaB. KC. AsD. CI Software-defined networking (SDN) works by using software to configure and control the network, rather than relying on device-specific static configurations. The SDN model creates a centralized architecture that replaces the distributed architecture model. How does this shift to a centralized architecture affect the three planes of network communication write a communicable disease you have ever suffer from. how was it caused Many people are paid wages "under the table" or in theform of cash with no taxes deducted. Do you believethis is an acceptable practice or unethical? Pleasedefend your answer. Which toy pack cost of 2.50 per toy ?(brainlist will be given out)!! Mary wants to buy a mobile phone; the least expensive one she's spotted so far is $15. Mary has $4.25 saved for a mobile phone. If Mary works at a rate of $2.15 per hour, how many hours (H) will she have to work in order to afford a mobile phone? Find the measure of each angle in the problem. RE contains point P. What eventually happens to all radioactive isotopes?A. They become stable after one half-life.B. They emit particles, electromagnetic radiation, or both.C. They absorb energy when they decay.D. They are pulled apart by strong nuclear forces. "just try to be satisfy whatever god has provided to you" . elaborate this statement in your own word