A regional automobile dealership sent out fliers to prospective customers indicating that they had already won one of three different​ prizes: an automobile valued at ​$23 comma 00023,000​, a ​$100100 gas​ card, or a ​$55 shopping card. to claim his or her​ prize, a prospective customer needed to present the flier at the​ dealership's showroom. the fine print on the back of the flier listed the probabilities of winning. the chance of winning the car was 1 out of 31 comma 12931,129​, the chance of winning the gas card was 1 out of 31 comma 129 comma31,129, and the chance of winning the shopping card was 31 comma 12731,127 out of 31 comma 12931,129. complete parts​ (a) through​ (c).

Answers

Answer 1

Answer:

the requirements are missing, so I looked for a similar question.

a. How many fliers do you think the automobile dealership sent​ out?

b. Using your answer to​ (a) and the probabilities listed on the​ flier, what is the expected value of the prize won by a prospective customer receiving a​ flier?

c. Using your answer to​ (a) and the probabilities listed on the​ flier, what is the standard deviation of the value of the prize won by a prospective customer receiving a​ flier?

a) the total fliers sent out = 31,127 + 1 + 1 = 31,129

b) expected value = [(1 x $23,000) + (1 x $100) + (31,127 x $5)] / 31,129 = $5.74

c) σ² = [($23,000 - $5.74)² x 1] + [($100 - $5.74)² x 1] + [($5 - $5.74)² x 31,127] / 31,129 = ($528,735,992.90 + $8,884.94 + $17,045.15) / 31,129 = $16,986.15

σ = √$16,986.15 = $130.33


Related Questions

Explain the connection between the terms "division of labor" and "specialization".

Answers

Answer:

Division of labor leads to specialization

Explanation:

Division of labor refers to the process of subdividing work into small tasks. In the division of labor, the production process is divided into different stages. Each stage requires a specific task to be performed. Workers are assigned specific tasks depending on skills and abilities.

The division of labor leads to an increase in productivity. Each worker performs a regular task, using familiar tools. In time, the worker becomes an expert in what they do, thereby increasing productivity. Division of labor leads to specialization. When work is subdivided into tasks and assigned to a specific worker, the assigned employee specializes in that task. Specialization is the practice of focusing on a single or very few activities that one is good at doing.

Identify the examples of hobbies. Check all that apply.

Neal likes to paint pictures in his free time.
Sidney wants to take a literature class.
Janie works far from her home, and spends most of her day commuting.
Verna dislikes giving speeches, and attends a workshop to improve her public-speaking skills.
Willard plays on a community baseball team.
Adrienne likes to watch movies.

Answers

Answer:

Neal likes to paint pictures in his free time.

Adrienne likes to watch movies.

Explanation:

Hobbies are fun and enjoyable activities that people engage in outside their workplaces to help them relax. These activities are done voluntarily and in one's free time. Hobbies are for providing relaxation and pleasure as opposed to income-generating.

Neal likes to paint pictures in his free time, and Adrienne likes to watch movies are hobby activities. They are engaged in free time for fun.

Answer:

Actually its 1, 5, 6

Actually its A, F, G

Explanation:

edge2020

A company had a pretax accounting income of $20 million this year. This included the collection of $100 million of life insurance proceeds when several key executives died in a plane crash. This collection is not recognized as a gain for tax purposes (permanent difference). Temporary differences for the current year netted out to zero. The company has a 20% tax rate and plans to record a DTA (operating loss carryforward) for tax purposes. In the current year, the Company will report a net income of:

Answers

Answer:

-$80 million

Explanation:

Since the $100 million collected from the life insurance policies are not taxable income (they are a permanent difference), the net income = $20 million - $100 million = -$80 million.

Permanent differences occur because companies are allowed by US GAAP to record some expenses or gains for reporting purposes only, but the IRS does not allow them for taxable purposes. Neither life insurance premiums for key employees nor life insurance proceeds upon death of key employees are allowed for taxable purposes. US GAAP allows a company to expense the premiums, but the IRS doesn't. The same happens to gains resulting from life insurance proceeds.

PLEASE HELP ASAP I'VE BEEN TRYING TO FIGURE THIS OUT FOREVER​

Answers

Answer:

thomas edison: I have not failed. i've just found 10000 ways that won't work

Oprah Winfrey: Live your best life

Orville Redenbacher: Find something you love and do it

Explanation:

Hope this helps.

Answer:

Explanation:

Thomas Edison " What does I have not failed I've just found 10000 way "

Oprah Winfrey   " Live your best live"

Orville Redebnarcer "Find something you love and do it"

   

According to the video, which tasks are Special Education Teachers likely to perform? Check all that apply
teaching basic subject material
driving students to and from school
working with educational technology
working with and meeting with parents
preparing lesson plans
volunteering in public libraries
interviewing other teachers to hire

Answers

Answer:

A,C,D,E

Explanation:

All right

Answer:

A,C,D,E

Explanation:

Bradley collects historic memorabilia, and one of his prized possessions is the pistol used by Aaron Burr in his duel with Alexander Hamilton. After reading an article in a magazine, Bradley discovers that Sam owns the matching pistol, used by Hamilton in the duel. Bradley contacts Sam and offers him $500,000 for the pistol. Sam e-mails Bradley that he accepts his offer but that the transaction must be for cash and face to face. Bradley responds that he'll be at Sam's home at noon the next day with the money. When he arrives, Sam informs him that he's received an offer of $600,000 for the pistol and states that Bradley must pay that amount or he'll sell to the other buyer. Bradley wants the weapon to complete the set. If he sues Sam, what course of action will best provide him the results he desires?

Answers

Answer:

Bradley should sue Sam for breaching the contract that they had and he must request specific performance.

Explanation:

Specific performance is legal remedy where a court orders the breaching party to perform his/her part of the contract. If Bradley didn't want the gun so bad, he could have sued for other types of remedies and seek to recover damages.

Which of the following is an example of cross-training?
A. A graphic designer is taking classes in project management and
finance to improve her skills in those areas.
B. An experienced pilot mentors newer pilots on their flying skills.
C. A business produces more goods than their competitors because
they can do it at a lower cost.
D. A contractor focuses solely on heating and air conditioning
repairs.

Answers

Answer: A. A graphic designer is taking classes in project management and finance to improve her skills in those areas.

Explanation: just took the quiz :)

A graphic designer is taking classes in project management and finance to improve her skills in those areas is an example of cross-training. Thus, option A is correct.

What is cross-training?

Cross-training is the technique of preparing an individual for labor that isn't directly related to his core specific position, but is instead performed by some other individual.

This means that there will be some people who will be trying to achieve expertise in different areas.

The example where the main job of the graphic designer is to visualize some art and represent it, but the person is taking management classes as well as finance classes that mean that he is in a position of cross-training where is learning about management and to develop a base in the finance. Therefore, option A is the correct option.

Learn more about cross-training, here:

https://brainly.com/question/28171855

#SPJ2

1. What is the revised net operating income if unit sales increase by 12%? 2. What is the revised net operating income if the selling price decreases by $1.30 per unit and the number of units sold increases by 19%? 3. What is the revised net operating income if the selling price increases by $1.30 per unit, fixed expenses increase by $6,000, and the number of units sold decreases by 7%? 4. What is the revised net operating income if the selling price per unit increases by 20%, variable expenses increase by 20 cents per unit, and the number of units sold decreases by 13%?

Answers

Answer:

the information about the company's income statement is missing, so I looked for a similar question (see attached image):

current contribution margin per unit = $3

current sales volume = 44,000 units

fixed expenses = $46,000

1. What is the revised net operating income if unit sales increase by 12%?

[(44,000 x 1.12) x $3] - $46,000 = $101,840

2. What is the revised net operating income if the selling price decreases by $1.30 per unit and the number of units sold increases by 19%?

[(44,000 x 1.19) x $1.70] - $46,000 = $43,012

3. What is the revised net operating income if the selling price increases by $1.30 per unit, fixed expenses increase by $6,000, and the number of units sold decreases by 7%?

[(44,000 x 0.93) x $4.30] - $52,000 = $123,956

4. What is the revised net operating income if the selling price per unit increases by 20%, variable expenses increase by 20 cents per unit, and the number of units sold decreases by 13%?

[(44,000 x 0.87) x $4.60] - $46,000 = $130,088

Which collection instrument do businesses generally use to conduct surveys? Businesses usually use a collection instrument such as a BLANK to collect market research data through surveys.

Answers

Answer:

questionnaire

Explanation:

A questionnaire is basically a survey, only that it is a much fancier term. Surveys and questionnaires are basically synonyms, and are both used to gather primary information, i.e. first hand information directly form the source. They are the most commonly used research tools.

At market equilibrium...

Answers

I think it’s c I don’t really know but I think it is

what is the sum of 275 and 325 divided by 25

Answers

Answer:

[tex]24[/tex]

Explanation:

[tex]275 + 325 \\ = 600 \div 25 \\ = 24[/tex]

Please mark me as the brainliest

Answer:

24

Explanation:

Because 275+325

=600÷25=24

Sana makatulong

El Niro Inc. is automating processes so the company can meet its demand with a smaller workforce. The CEO asks Megan, the vice president of human resources, for advice on how to address the resulting labor surplus. Megan studies the workforce and observes that many employees are in their 50s and 60s. Furthermore, these employees are the highest-paid workers in every job category. Based on this information, what should Megan suggest as the most effective way of addressing El Niro's labor surplus?

Answers

Answer:

Since the highest paid employees are over age 40, they cannot be simply fired since that would represent age discrimination at work, which is strictly prohibited by the Age Discrimination in Employment Act (ADEA).

But Megan can offer different type of early retirement incentives to these employees so that they retire by their own will, e.g. pay them 1 or 2 weeks salary for every year that they worked for the company, age credits so that the employees can benefit from a pension plan, etc.

Your store sales average $162,000 per month. Your triple net lease has the following monthly terms: rent is 3% of sales, insurance is $210, maintenance is $100, utilities total $425, and taxes are $90. You expect next year's sales to increase 7%, but your lease terms will remain the same. Calculate next year's ANNUAL lease payment. Round your answer to the nearest dollar.

Answers

Answer:

=$72, 302

Explanation:

The tenant agrees to pay all real estate taxes, building insurance, and maintenance (the three "nets") plus the normal monthly rent in a triple net lease agreement.

Rent is 3% of sales. Sales will grow by 7%.

Current sales are equivalent to 100%; increased sales will be 100% + 7% = 107%

This year's monthly  sales are 162,000: next year's monthly sales will be 107% of $162,000

=107/100 x $162,000

=1.07 x $162,000

=$173,340

Monthly sales will be $173,340. Monthly rent is 3% of sales

=3/100 x $173,340

=$5,200.2

The monthly lease will be monthly rent, plus insurance plus maintenance plus, utilities total plus taxes

= $5,200.2 +  $210 + $100 + $425 + $90.

=$6,025.2

monthly lease = $6,025.2

Annual lease =$6,025.2 x 12

=$72,302.40

=$72, 302

Answer: 72,302

Explanation:

If average household income increases by 50%, from $40,000 to $60,000 per year, the quantity of rooms demanded at the Triple Sevens from rooms per night to rooms per night. Therefore, the income elasticity of demand is , meaning that hotel rooms at the Triple Sevens are . If the price of a room at the Exhilaration were to decrease by 20%, from $200 to $160, while all other demand factors remain at their initial values, the quantity of rooms demanded at the Triple Sevens from rooms per night to rooms per night. Because the cross-price elasticity of demand is , hotel rooms at the Triple Sevens and hotel rooms at the Exhilaration are . Triple Sevens is debating decreasing the price of its rooms to $175 per night. Under the initial demand conditions, you can see that this would cause its total revenue to . Decreasing the price will always have this effect on revenue when Triple Sevens is operating on the portion of its demand curve.

Answers

Answer:

The numbers are missing, so I looked for similar questions:

If average household income increases by 50%, from $40,000 to $60,000 per year, the quantity of rooms demanded at the Triple Sevens from 250 rooms per night to 400 rooms per night. Therefore, the income elasticity of demand is              , meaning that hotel rooms at the Triple Sevens are      .

income elasticity of demand = % change in quantity demanded / % change in income

income elasticity of demand = 60% / 50% = 1.2, since it is positive, then they are normal goods.  Since EAD is higher than 1, then it is considered a luxury good.

If IED is negative, that means that a good is an inferior good, since the more you earn, the less you consume.  

If the price of a room at the Exhilaration were to decrease by 20%, from $200 to $160, while all other demand factors remain at their initial values, the quantity of rooms demanded at the Triple Sevens from 300 rooms per night to 200 rooms per night. Because the cross-price elasticity of demand is     , hotel rooms at the Triple Sevens and hotel rooms at the Exhilaration are         .

Cross price elasticity of demand = % change in quantity demanded of Triple Sevens hotel rooms / % change in price of Exhilaration hotel rooms

Cross price elasticity of demand = -33.33 / -20% = 1.665

Triple Sevens hotel and Exhilaration hotel are substitutes since their cross price elasticity is positive.

Triple Sevens is debating decreasing the price of its rooms to $175 per night (from $200). Under the initial demand conditions, you can see that this would cause its total revenue to        . Decreasing the price will always have this effect on revenue when Triple Sevens is operating on the        portion of its demand curve.

original revenue before change in price = $200 x 250 rooms = $50,000

revenue after decreasing price = $175 x (250 x 1.2 x 1.125) = $175 x 337.5 rooms = $59,062.50

total revenue will increase by $9,062.50, this happens because Triple Sevens hotel is operating on the elastic portion of the demand curve.

SAMU BED & BREAKFAST (SBB)

Samu is a successful young entrepreneur who

owns many bread & breakfast businesses in

different areas. Samu gives people equal job opportunities without discriminating them

based on age, race and gender. She also values the differences between people and

encourages diversity in the workplace. Some of the SBB employees have disclosed that

they are HIV positive.

1.4.1

Quote from the scenario above TWO ways in which Samu achieves inclusivity in

the workplace.

(2

1.4.2

Outline any THREE purposes of inclusivity in the workplace.

(3

1.4.3 Advise Samu on the negative impact of HIV/Aids in the workplace.

(5

Answers

Explanation:

1. Samu achieves inclusivity by giving people equal opportunity without discrimination at the workplace, she also also encourages diversity in the work place as this helps foster unity amongst the employees.

2. Inclusion produces happier employees, who are more committed to their work because they know they are been appreciated.

Productivity increases.

Improved problem solving.

3. HIV and AIDS has a huge impact on the world of work place as it reduces the supply of labour and available skills, it also increase labour costs, reduces productivity, it’s a threat to the livelihoods of workers and employers, and it also creates an environments which destroys the rights of workers.

(1.04) This is an itemized summary of probable income and expenses for a given period.

oBank Account
oInterest bearing account
o Budget
o Lottery

Answers

The answer is C - budget

The Hay profile method is a job evaluation program that measures problem-solving and accountability for results. With which of the following positions would you use this program?
A) sales associate
B) food service supervisor
C) chief operating officer
D) welder

Answers

Answer:

1. D. Classification.

2. C. Chief operating officer

3. C. External; internal

4. C. Procedural equity.

5. C. Monitor and maintain external equity.

6. A. The employee’s recent performance appraisals.

7. A. The employee’s decisions are directly tied to the company’s performance.

8. A. Factor Comparison

9. C. The board of directors

10. B. Wage Curve

Describe the difference in attitude and actions when people are dealing with losing something they already have vs. What they will do to try to gain something they do not have.

Answers

Answer:

When you lose something, you generally feel angry or frustrated, and that is defined as psychological entitlement. It happens to all of us at different levels. We are convinced that we deserve better and our expectations are higher than they should be. Generally we tend to overvalue things that we lose, because no one likes to lose.

This feeling is not the same as when we fail to gain something that we do not have. Since we never owned that thing, we may feel frustrated, but our frustration or anger level is much lower. We do not feel personally aggravated because we didn't lose something that we possessed, we lost the opportunity to possess something new.  

According to a 2010 study conducted by the toronto-based social media analytics firm sysomos, 71% of all tweets get no reaction. That is, these are tweets that are not replied to or retweeted (sysomos website, january 5, 2015). Suppose we randomly select 100 tweets.

Answers

Answer:

Missing question is "a.What is the expected number of these tweets with no reaction?  b.What are the variance and standard deviation for the number of these tweets with no reaction?"

a. The expected number of these tweets with no reaction is

Let x = Tweets with no reaction

E(x) = np

n= 100, p = 0.71

E(x) = (100)(0.71)

E(x) = 71

Hence, the expected number of these tweets with no reaction is 71.

b. б² = Product of n, p and (1-p)

б² = (100)(0.71)(0.29)

б² = 71*0.29

б² = 20.59

Hence, the variance for the number of these tweets with no reaction is 20.59

б = [tex]\sqrt{Product of n, p and (1-p)}[/tex]

б = [tex]\sqrt{ (100)(0.71)(0.29)}[/tex]

б = [tex]\sqrt{71*0.29)}[/tex]

б = [tex]\sqrt{20.59}[/tex]

б = 4.54

Hence, the standard deviation for the number of these tweets with no reaction is 4.54.

Which does not affect the level of wages?
A. actions of labor unions
B. law of supply and demand
C. production possibilities frontier
D. minimum-wage laws

Answers

a if i’m not mistaken

Data concerning Bedwell Enterprises Corporation's single product appear below: Selling price per unit $ 230.00 Variable expenses per unit $ 98.50 Fixed expense per month $ 451,190 The unit sales to attain the company's monthly target profit of $33,000 is closest to: (Do not round intermediate calculations.)

Answers

Answer:

Break-even point in units= 3,682 units

Explanation:

Giving the following information:

Selling price per unit $ 230

Variable expenses per unit $ 98.50

Fixed expense per month $ 451,190

Monthly target profit of $33,000

To calculate the number of units to be sold, we need to use the following formula:

Break-even point in units= (fixed costs + desired profit) / contribution margin per unit

Break-even point in units= (451,190 + 33,000) / (230 - 98.5)

Break-even point in units= 3,682 units

A customer purchases stock for $40 per share and holds it for 1 year, selling it for $50 per share exactly 12 months after the date of purchase. Four quarterly qualifying dividends of $.50 were paid during the year. If the customer's tax bracket is 30%, what is the after-tax rate of return?

Answers

Answer:

24.75%

Explanation:

the customer will be taxed in two different rates:

long term capital gains = $50 - $40 = $10 per stock x (1 - 15%) = $8.50

interests are taxed as normal income = (4 x $0.50) x (1 - 30%) = $1.40

total after tax gains = $9.90

after tax rate of return = $9.90 / $40 = 0.2475 = 24.75%

Gilford is writing a paper about tigers. He notices that he has used the word “paws” many times. He would like to find a word he can use instead of “paws.” Where is he most likely to find a new word for “paws”? a. Encyclopedia c. Thesaurus b. Dictionary d. None of these Please select the best answer from the choices provided A B C D

Answers

Answer:

C

Explanation:

Thesaurus

Gilford is most likely to find a new word for “paws” in Thesaurus. Hence, option C is appropriate.

What is the meaning of a Thesaurus?

A thesaurus, also known as a synonym dictionary as well as a dictionary of synonyms, is a reference book that covers synonyms and antonyms in addition to other words, frequently in the form of a hierarchy of broader and more specific terms.

You may look up both antonyms and synonyms using the thesaurus.

Thesauruses offer simple access to what seems like an infinite number of synonyms. Because they assist you to avoid using unnecessary words and provide you the opportunity to express yourself more accurately, synonyms help you write better.

A thesaurus is a tool that is used in Microsoft Word or MS Word to look up synonyms and similar words for a certain phrase. Thesaurus in Microsoft Word aids writers in selecting precise and appropriate words to convey their ideas.

Hence, option C is correct.

Learn more about Thesaurus here:

https://brainly.com/question/4162383

#SPJ7

Which of the following are characteristics of entrepreneurial ability?

A. gathering resources
B. identifying potential profit
C. inventing new products
D. taking on risk

Answers

Answer:

the answer is c

Explanation:

what is a benefit of having a good credit score

Answers

You are more likely qualify for good interest rates and you can pay lower finance charges on credit card balances and loans

Some benefits of a good credit score are you will qualify for favorable interest rates, and you will have the ability to pay lesser financing charges on loan balances and credit card balances.

What is a good credit score?

Generally, According to McClary, "A high credit score indicates that you will most probably qualify for the lowest interest rates; fees for new loans and lines of credit."

If your credit score is high, you will have a better chance of receiving these benefits. You might save up to one percent on interest if you apply for a mortgage, which is another advantage.

It is more likely that you will be eligible for favorable interest rates, and you will be able to pay reduced financing costs on loan balances and credit card balances if you are approved for these rates.

Read more about good credit score in https://brainly.com/question/28919822

#SPJ4

Help! Who answers first get the brainliest!! Match the word with the right definition (not all word will be used)

Word Bank:

A. Antitrust laws B. Business ethics

C. Code of ethics D. Contract

E. Copyright F. Ethics

G. Monopoly H. Nonrenewable resources

I. Patent J. Public utility

K. Social responsibility L. Trademark



______2. The obligation of a business to contribute to the well-being of a community.



_____3. Rules about how business and their employees ought to behave.



_____4. A natural resource, such as gas, coal, copper, or iron ore, that cannot or members of an organization.



______5. A statement of values and rules that guides the behavior of employees or members of an organization.



______6. A business that supplies a service or product vital to all people; the price charged for the service (or product) is determined by government regulation rather than by competition.



______7. Laws designed to promote competition and fairness and to prevent monopolies.



______8. Protection of the work authors, composers, and artists.



______9. An agreement to exchange goods of services for something of value.



______10. The exclusive right given to a person to make, use, or sell an invention for a period of 20 years.



______11. A word, letter, or symbol associated with a specific product or company.



______12. A business that complete control of the market for a product or service.

Answers

Answer:

2 K

3 B

4 H

5 C

6 G

7 A

8 I

9 D

10 E

11 L

12 K

Good reporters will double-check (or often triple-check) information from a source before including it in their story. This is an example of which journalistic standard?Immersive Reader (5 Points) Verification Transparency Accountability Independence

Answers

Answer:

Verification

Explanation:

The verification is a concept where the person confirms or he or she checks the accuracy of the amount i.e. in existence or not

Here in the given situation, the reporters are titled as a good when they double check or triple check the information before including in their story

So this example represents the verification and the same is to be considered

hence, all the other options are incorrect

Mr. Crimpson is an economist . During the course of each day, he studies how to meet

Answers

Answer:

see below

Explanation:

Economics is a social study on how individuals, firms, and governments make choices amid scarcity. It is concerned with how society allocates its scarce resources in the production, distribution, and consumption of goods and services. Mr. Crimpson studies how to use limited resources efficiently to meet the different but many needs in society.

Economics is divided into macroeconomic and Macroeconomics. Under macroeconomics, Mr. Crimpson studies the performance,  behavior, and decision-making of the entire economy. He focuses on the aggregate changes in inflation, unemployment rate, growth rate, GDP, and prices. In microeconomics, Mr.simpson concentrates on how individuals and households' choices affect demand and supply in the market.

Which type of unethical activity is sometimes caused by channel management? A. Price fixing B. Unfair discrimination C. Network marketing D. Cold calling

Answers

Answer:

B

Explanation:

got it right on edge

anyone know PNC banks atm fees?

Answers

Answer:

$500 i think is the answer

Explanation:

hope it helps

$500 i think just try it
Other Questions
Which two sentences from the passage best convey a tone of wonder?Flashbulbs went off, social media began buzzing, and the two toy store owners smiled from ear-to-ear.And with one mighty tug, the new displays beamed out to the overcrowded square.It was a jovial tradition passed down to her daughter.With the help of her grandson, Andre, they rebuilt the toy store into a fantastical delight.However, Margot's daughter began to skimp on costs. three of fifteen pieces of gum are purple. write the fraction and the % of the gum that is purple. '... de ellos lo hace diariamente'Why is it hace when its referring to a plural - shouldnt it be hacen? Is Esperanza excited to see Miguel? Why or why not? 2. For the month of March, Mrs. Birch's average daily electrical cost was $0.87. Howmuch was her bill for the entire month of March? Personality traits are _____ used to describe the way you think, feel, and act.verbsnounsadverbsadjectives The length of a rectangle is 5 inches more than the width. The perimeter is 46 inches. Find the length and the width.The length is inches___ and the width is_____ inches. At resting potential the inside of the cell membrane is negatively charged. Why? Reece has $12. Suppose the function f(x)=1.5x+7 represents the cost to rent x video games each month. How many more dollars will Reece need to rent 8 video games next month? An aircraft carrier traveled to a navigational buoy and back. It took six hours longer to go there than it did to come back. The average speed on the trip there was 10 mph. The average speed on the way back was 22 mph. How many hours did the trip there take? Do you believe that the English Parliament reach too far in restricting colonial trade? Explain out of 5 mathematicians and 7 physicist a complete consisting 2 two mathematicians and three physicist is to form in how many ways can this be done any physicist can be included If f(x) = 2 sin(x) and g(x) = sin(2x), which of the following statements is true?AThe graph of g(x) and the graph of f(x) are identicalThe amplitude of g(x) is greater than the amplitude of f(x)The amplitude of f(x) is greater than the amplitude of g(2)DOThe period of f(x) is half of the period of g(x) Find the x-intercept of the graph of the linear equation y=-3x+ 3.x-intercept = Match the following terms with its description. (8 points)Please Help Only have 1 Minute HELP PLX MY GRADES DEPEND ON IT Why were the judges surprised by Athene's explanation of her marvel?A The explanation was so lengthy and unbelievable.B The gift had first appeared to be so dull and ordinary.C They had not known the Attic soil could grow plants.D They had not realized that Athene was so wise. Does The Wizard of Oz film use a digital camera or film? What effect does the camera choice have on the movie? How would the film be different using another camera? Compare and contrast the original camera and the camera of your choice and provide support for the camera that you ultimately select. Find the maximum and the minimum values of f(x,y,z)equals 3 x minus 3 y plus 8 z on the sphere x squared plus y squared plus z squared equals 82 . Suppose the deer population in a region is expected to increase by 6% in the next year. If there are currently 11,650 deer living in the region, approximately how many will be living there a year from now? Write the equation of a line that passes through the points (10, 12) and (8, 1) inany form.