Exhibit 15-8 The following estimated regression model was developed relating yearly income (y in $1000s) of 30 individuals with their age (x1) and their gender (x2) (0 if male and 1 if female). ŷ = 30 + 0.7x1 + 3x2 Also provided are SST = 1200 and SSE = 384. The yearly income of a 24-year-old female individual is _____. a. $49.80 b. $19,800 c. $19.80 d. $49,800

Answers

Answer 1

Answer:

d.  $49,800

Explanation:

The yearly income of a 24 year old female is  $49,800. Relationship between SST and SSE is defined as SST - SSE.

The equation describes the relationship between two variables that these variables are independent.


Related Questions

Refer to Exhibit 16.6, which reflects the relationship between the inflation rate and the unemployment rate. If the economy started near point b and government purchases increased, we would expect the economy in the short run to move to _____

Answers

Answer: Point C

Explanation:

When government purchases increases, there will be more money in the economy which will have a multiplier effect in the economy of increasing investment and consumption spending both of which will lead to new companies being founded and old companies increasing capacity.

The unemployment rate will therefore decrease as more people are hired to boost capacity but the inflation rate will increase because of the rise in demand. The only point on the graph that shows these two things in point c so that is where the economy will move to in the short run.

Question 4 of 10
Which situation best illustrates the process of capital formation?
O A. A farmer increases his profits by growing a variety of new crops.
B. An artist buys bonds that will increase in value over time.
C. An engineer tries to limit her spending during the week.
O D. A factory worker takes out a high-interest loan to buy a new home.
SUBMIT

Answers

Answer:

I think it is B

Explanation:

Answer:

an artist buys bondss that will increase in value over time.

Explanation:

took the test. UwU

introduce the concept of creativity and innovation​

Answers

Creativity is the capability or act of conceiving something original or unusual. 

Innovation is the implementation of something new that has never been made before and is recognized as the product of some unique insight.

All That Blooms provides environmentally friendly lawn services for homeowners. Its operating costs are as follows.
Depreciation $1,224 per month
Advertising $153 per month
Insurance $1,683 per month
Weed and feed materials $10 per lawn
Direct labor $8 per lawn
Fuel $2 per lawn
All That Blooms charges $50 per treatment for the average single-family lawn.
Determine the company

Answers

Answer and Explanation:

The computation is shown below:

Total fixed costs is

= depreciation + advertising + insurance

= 1224 + 153 + 1683

= $3060 per month

Now  

Total variable cost per unit

= weed + direct labor + fuel

= 10 + 8 + 2

= $20/ per lawn

Now  

Contribution margin ratio = (sales per unit - variable cost per unit) ÷ sales per unit

= ($50 - $20) ÷ 50

= 60%

Now

Breakeven sales is

= fixed costs ÷ contribution margin ratio

= $3,060 ÷ 60%

= $5100

And,

Breakeven sales units is

= breakeven sales ÷ sales per unit

= 5100 ÷ 50

= 102 lawns

In a board of directors election for five directors and straight voting, a majority group of shareholders will elect a. four directors. b. five directors. c. four or five depending on how the cumulative voters vote. d. the same proportional share of directors as their ownership share.

Answers

Answer: b. five directors

Explanation:

Straight voting refers to a voting convention where shareholders are allowed to cast a single vote towards each director seat for each share they own. This is in contrast to cumulative voting where a single shareholder can decide to cast all their votes to one director.

In such a convention therefore, the majority will elect all five seats because the majority that voted for each seat will decide which director will be elected.

Name any two professional training needed in profession.

Answers

1. learner management system and environment.

2. implications for pedagogy and application to resource poor environment.

A stock has an expected return of 11.85 percent, its beta is 1.08, and the risk-free rate is 3.9 percent. What must the expected return on the market be

Answers

Answer:

11.26%

Explanation:

According to the capital asset price model: Expected rate of return = risk free + beta x (market rate of return - risk free rate of return)

rm = expected return on the market

11.85 = 3.9 + 1.08(rm - 3.9)

11.85 - 3.9 =  1.08(rm - 3.9)

7.95 = 1.08(rm - 3.9)

7.95 / 1.08 = rm - 3.9

7.361 = rm - 3.9

rm = 11.26

Identify a key concept or foundational theory from the first four weeks of class and in half a page discuss how it applies to your current work environment or a recent social, political or business event. Include the chapter and sub topic from your textbook. g

Answers

Answer:

TQM

Explanation:

TQM concept we learned about in the first few weeks of class. For TQM to get successful, all workers need to get involved. One great practice that TQM uses is decision-making as a group.  This process promotes an open conversation with productivity as people sheltering their opinions.

Suppose money invested in a hedge fund earns 1% per trading day. There are 250 trading days per year. What will be your annual return on $100 invested in the fund if the manager allows you to reinvest in the fund the 1% you earn each day

Answers

Net: annual investment return is $250
Revenue : Annual Investment return $350

Calculate the current price of a $1,000 par value bond that has a coupon rate of 6 percent, pays coupon interest annually, has 27 years remaining to maturity, and has a current yield to maturity (discount rate) of 15 percent. (Round your answer to 2 decimal places and record without dollar sig

Answers

Answer: $413.81

Explanation:

Price of a bond = Present value of coupon payments + Present value of face value

Coupon is a constant payment so is an annuity.

Coupon = 6% * 1,000 = $60

Price of bond = Present value of annuity + Present value of face value

= (Coupon * Present value interest factor of annuity (PVIFA), 27 periods, 15%) + (Face value / (1 + rate) ^ number of periods)

= (60 * 6.514) + (1,000 / (1 + 15%)²⁷

= $413.81

A cost is considered controllable at a given level of managerial responsibility if Group of answer choices it is a variable cost, but it is uncontrollable if it is a fixed cost. it changes in magnitude in a flexible budget. the cost has not exceeded the budget amount in the master budget. the manager has the power to incur the cost within a given time period.

Answers

Answer:

the manager has the power to incur the cost within a given time period.

Explanation:

A cost can be defined as an amount of money that is incurred by a business firm to create goods or services for its customers.

Costing is the measurement of the cost of production of goods and services by assessing the fixed costs and variable costs associated with each step of production.

In Financial accounting, a fixed cost can be defined as predetermined expenses in a business that remain constant for a specific period of time regardless of the quantity of production or level of outputs. Some examples of fixed costs in business are loan payments, employee salary, depreciation, rent, insurance, lease, utilities, etc.

On the other hand, variable costs can be defined as expenses that are not constant and as such usually change directly and are proportional to various changes in business activities. Some examples of variable costs are taxes, direct labor, sales commissions, raw materials, operational expenses, etc.

A manager can be defined as an individual who is saddled with the responsibility of providing guidance, support, supervision, administrative control, as well as acting as a role model or example to the employees working in an organization by being morally upright.

Generally, a cost is considered controllable at a given level of managerial responsibility, if the manager has the power to incur the cost within a given time period. Thus, he or she can control a cost if it can be incurred within a specific period of time.

Bluegill Company sells 14,000 units at $240 per unit. Fixed costs are $168,000, and operating income is $1,176,000. Determine the following:
a. Variable cost per unit.
b. Unit contribution margin.
c. Contribution margin ratio.

Answers

Answer:

a. Variable cost per unit:

= (Sales - Fixed costs - Operating income) / number of units sold

= ((14,000 units * 240) - 168,000 - 1,176,000) / 14,000

= 2,016,000 / 14,000

= $144 per unit

b. Unit contribution margin:

= Selling price - Variable cost per unit

= 240 - 144

= $96

c. Contribution margin ratio:

= Unit contribution margin / Selling price

= 96 / 240

= 40%

A price-cutting tactic may backfire if

Answers

Need answer choices

Geraldo is a customer care executive at a telecommunications service provider. He receives a complaint from a customer about an unnecessary $20 charge on his phone bill. If the company follows the customer service management process, Geraldo is most likely to _____.

Answers

Answer:

Provide a quick response to the customer using customer care software.

Explanation:

Software Programs

This is simply regarded as a service tool or software distribution model where software applications are hosted by a vendor or service provider and made available to customers over a network that is often the internet.

There are some of the software that is available. They includes the following:

Inventory managementReceivingStore Replenishment POS etc.

Marketing Channel

This is used by individuals and firms involved in making a product or service available for use or consumption by consumers or industrial users.

Provided other eligibility requirements are met, who is eligible for Medicare?

Answers

Answer:

Generally, Medicare is available for people age 65 or older, younger people with disabilities and people with End Stage Renal Disease (permanent kidney failure requiring dialysis or transplant). You or your spouse had Medicare-covered government employment.

Relevant Range and Fixed and Variable Costs
Vogel Inc. manufactures memory chips for electronic toys within a relevant range of 61,600 to 100,800 memory chips per year. Within this range, the following partially completed manufacturing cost schedule has been prepared:
Components produced 61,600 79,200 100,800
Total costs:
Total variable costs . . . . . . . . . $19,712 (d) (j)
Total fixed costs . . . . . . . . . . . . 22,176 (e) (k)
Total costs . . . . . . . . . . . . . . . . . $41,888 (f) (l)
Cost per unit:
Variable cost per unit . . . . . . . (a) (g) (m)
Fixed cost per unit . . . . . . . . . . (b) (h) (n)
Total cost per unit . . . . . . . . . . (c) (i) (o)
Complete the cost schedule below. When computing the cost per unit, round to two decimal places. Round all other values to the nearest dollar.
Cost Report
Components produced 61,600 79,200 100,800
Total costs:
Total variable costs $19,712 (d) $ (j) $
Total fixed costs 22,176 (e) (k)
Total costs $41,888 (f) $ (l) $
Cost per Unit
Variable cost per unit (a) $ (g) $ (m) $
Fixed cost per unit (b) (h) (n)
Total cost per unit (c) $ (i) $ (o) $

Answers

Answer:

Variable cost per unit is constant.

Total fixed cost is constant.

Explanation:

Refer to the supply and demand data for a certain elective surgical procedure. Without health insurance, the equilibrium price and quantity would be: Group of answer choices $3,000 and 7,000. $2,000 and 11,000. $5,000 and 2,000. $4,000 and 4,000.

Answers

Answer:

$3,000 and 7,000

Explanation:

Please find attached the table used in answering this question

Equilibrium price is the price at which quantity demand equal quantity supplied.

Equilibrium quantity is the quantity that equates  quantity demand with quantity supplied.

Above equilibrium price there is a surplus - quantity supplied exceeds quantity demanded. As a result of the surplus, price would fall until equilibrium is reached.

Below equilibrium price there is a shortage - quantity demanded exceeds quantity supplied. As a result of the shortage, price would rise until equilibrium is reached

Exercise 9-4 Interest-bearing notes payable with year-end adjustments LO P1 Keesha Co. borrows $145,000 cash on December 1 of the current year by signing a 90-day, 9%, $145,000 note. 1. On what date does this note mature? 2. & 3. What is the amount of interest expense in the current year and the following year from this note? 4. Prepare journal entries to record (a) issuance of the note, (b) accrual of interest on December 31, and (c) payment of the note at maturity.

Answers

Answer:

Keesha Co.

1. The date on which this note matures is February 28.

2. Interest expense for the current year is:

= $1,108

3. Interest expense for the following year is:

= $2,109

4. Journal Entries:

December 1:

Debit Cash $145,000

Credit Notes Payable $145,000

a) To record the issuance of the 90-day, 9% notes payable.

December 31:

Debit Interest Expense $1,108

Credit Interest Payable $1,108

b) To accrue interest expense.

February 28:

Debit Notes Payable $145,000

Debit Interest Payable $1,108

Debit Interest Expense $2,109

Credit Cash $148,217

To record the payment of the note at maturity.

Explanation:

a) Data and Calculations:

Notes Payable on December 1 = $145,000

Interest rate on the note = 9%

Duration of note = 90 days

December 1

Plus 90 days

= February 28

Interest expense for the current year = $1,108 ($145,000 * 9% * 31/365)

Interest expense for the following year = $2,109 ($145,000 * 9% * 59/365)

Analysis:

December 1:

Cash $145,000

Notes Payable $145,000

December 31:

Interest Expense $1,108

Interest Payable $1,108

February 28:

Notes Payable $145,000

Interest Payable $1,108

Interest Expense $2,109

Cash $148,217

To which of the following would a
business most commonly owe a
debt?
A. To employees
B. To investors
C. To customers
D. All of the Above
Copyright © 2003 - 2021 Acellus Corporation. All Rights Reserved.

Answers

Answer:

the answer is D it is the right answer

Because of ________ if a city government decides to spend money on beautifying its downtown and attracting tourism to its city when no money has been devoted to those efforts before, then gains in tourism may be significant. Group of answer choices

Answers

Answer:

The answer is the production possibility frontier.

Which one of the following is unlikely to be an attractive and effective way to reduce the design, assembly, marketing, and other costs of UAV drones and help achieve a sizable competitive advantage over rival companies based on lower overall costs per UAV drone sold?

a. Trying to spend below-average amounts on website product displays, search engineO a advertising, and retailer recruitment/support in all 4 regions, provided it is competitively O o feasible to do so (but in any case exercise restraint in spending amounts well above the regional averages unless the resulting sales gains are big enough to lower costs per drone oa sold).
b. Trying to keep the warranty period to 60 days (f rivals offer long warranty periods), and higher than 120 days (f rivals offer short warranty periods) Switching to robot-assisted assembly methods to lower labor costs per drone assembled.
c. Striving to keeping marketing costs per UAV drone sold in all 4 geographic regions to levels that are several dollars below the industry-average benchmark.
d. Trying to keep the warraby period to 60 days or 90 days (but no more than 120 days), if it is competitively feasible to do so.

Answers

b (don’t actually use this its just a guess but all i wanted to say is God love you!!)

When we try to keep the warranty period to 60 days (f rivals offer long warranty periods), and higher than 120 days (f rivals offer short warranty periods) Switching to robot-assisted assembly methods to lower labor costs per drone assembled.UAV drones and help achieve a sizable competitive advantage over rival companies based on lower overall costs per UAV drone sold. Therefore option B is correct.

What is a UAV Drone?

The term "drone" is typically used to describe any unmanned aircraft. These aircraft, also known as unmanned aerial vehicles (UAVs), are skilled in performing a diverse range of tasks, from military operations to package delivery. Drones can range in size from the size of your hand's palm to that of an airplane.

Unmanned aerial vehicles (UAVs) are planes without a human pilot or other passengers. UAVs, often known as drones, can be totally or partially autonomous, but they are typically flown by a human pilot from a distance.

To learn more about UAV Drone follow the link.

https://brainly.com/question/14179661

#SPJ2

Recessions in China and India would cause:________
a. the U.S. price level to fall and real GDP to rise.
b. the U.S. price level to rise and real GDP to fall.
c. the U.S. price level and real GDP to fall.
d. the U.S. price level and real GDP to rise.

Answers

Answer:

b. the U.S. price level to rise and real GDP to fall.

Explanation:

A recession can be regarded as macroeconomic term which is used to describe significant decline that occur in general economic activity within a designated region. It can be regarded as economic decline of two consecutive quarters which is been reflected by GDP along with some monthly indicators, this indicators could be a rise in unemployment.

For, instance Recessions in China and India would cause the U.S. price level to rise and real GDP to fall.

Which of the following is not a standard organizational structure

Answers

Answer:

sequential

Explanation:

organizational structures come in four general types – functional, divisional, matrix and flat

Sequential is not a standard organizational structure.

What are organizational structures?

An organizational structure outlines how tasks are assigned, coordinated, and overseen in order to achieve organizational objectives. The basis upon which standard operating procedures and routines are built is provided by organizational structure.

Organizational structures come in four general types – functional, divisional, matrix, and flat.

To know more about organizational structures refer to :

https://brainly.com/question/23967424

#SPJ2

What are the advantages and disadvantages of keeping the strategic-planning process secret vs. placing the firm’s strategic plan on the corporate website and discussing strategies and planning publically? (2 main advantages and 2 main disadvantages)

Answers

Answer:

Answers are given below.

Explanation:

Advantages of keeping the strategic-planning process of a firm secret

1. The flaws or challenges of the firm will not be known to the general public or the firm's competitors.

2. The great ideas in the strategic plan will be known only to members of this firm. No other firm will be able to 'steal and quickly implement' these great ideas.

NOTE: The opposites of these statements are same as the disadvantages of making the strategic-planning process public.

Disadvantages of keeping the strategic-planning process of a firm secret

1. Placing the firm's strategic plan on the corporate website will improve the confidence of clients or customers in them. Clients and customers will view the firm as transparent and will also feel informed about the firm's activities.

2. Discussing strategies and planning publically will fetch the firm some good ideas from the public, and also some new customers or clients.

NOTE: These statements are same as the advantages of making the strategic-planning process public.

In the small country of Economerica, there are 6 thousand people employed, 1 thousand people unemployed, and 3 thousand people of working age not included in the labor force. One thousand students graduate from the university and seek jobs in the country, but not one graduate is able to find one. Half of the new graduates believe there is no chance of finding a job and return home to live with their parents. Ceteris Paribus, what would the new unemployment rate be in Economerica?
A. 14.29%
B. 20.00%
C. 25.00%
D. 45.45%

Answers

Answer: B. 20.00%

Explanation:

Unemployment rate does not include those who have given up on finding a job.

Unemployment rate = Unemployed people / Labor force

Unemployed people:

= Original unemployed + half the new graduates

= 1,000 + (1,000 / 2)

= 1,500 people

Labor force:

= Unemployed + employed people

= 1,500 + 6,000

= 7,500 people

Unemployment rate:

= 1,500 / 7,500

= 20%

Emma's Electronics Incorporated has total assets of $56 and total debt of $43 million. The company also has operating profits of $27 million with interest expenses of $8 million.

Required:
a. What is Emma's debt ratio?
b. What is Emma's times interest earned?
c. Based on the information above, would you recommend to Emma's management that the firm is in a strong enough position to assume more debt and increase interest expense to $10 million?

Answers

Answer:

a. Debt Ratio = Debt / Total Assets

Debt Ratio = $43 million / $56 million

Debt Ratio = 0.76786

Debt Ratio = 76.79%

b. Time Interest Earned = EBIT / Interest

Time Interest Earned = $27 million / $8 million

Time Interest Earned = 3.375 times

c.  If Interest expense is increased to 10 lmillion. The new Time Interest Earned = $27 million / $10 million = 2.7 times. The new time Interest Earned is at 3 times and this indicate that the company can easily raise more debt for its funding needs.

The following information pertains to Nova Co.'s cost-volume-profit relationships:
Breakeven point in units sold ………………………….. 2,000
Variable expenses per unit ……………………………… 500
Total fixed expenses …………………………………… $150,000
How much will be contributed to net operating income by the 2,001st unit sold?
A. $ 65
B. $ 75
C. $150
D. $ 0

Answers

Answer: $150

Explanation:

Breakeven point in units sold = 2,000

Variable expenses per unit = 500

Total fixed expenses = $150,000

The break even in units is calculated as:

= Fixed Cost / Contribution per Unit

Therefore,

1000 = 150000/ Contribution per unit

Contribution per Unit will now be:

= 150000 / 1000

= 150

It should be noted that after the break even point, every unit sold will lead to an increase in the contribution per unit to the net operating income. Therefore, the amount that'll be contributed to net operating income by the 2,001st unit sold is $150.

A property line conflict between neighbors Prakhash and Elliott escalated as the years went on. The police were called frequently to deal with loud arguments and acts of vandalism between the two until Officer Graves referred them to a community mediation center. In the two weeks since the mediation, the number of calls to police had dropped. Officer Graves contacted Martin, the mediator, and asked if she should consider the conflict resolved. Martin replied that the parties had agreed to meet again for another mediation session, but that the matter of the property line remained a point of tension.

Answers

The next day, Graves called the mediation center to tell Martin that Prakhash and Elliott had had a physical altercation, and both were charged with assault.

Which of the following best describes the status of the conflict now?

a) the conflict was resolved

b) the conflict is in the post-conflict stage

c) the conflict re-escalated

d) the conflict de-escalated

The answer to this question is that the conflict re-escalated

A conflict can be described as a very serious disagreement on ideas or interests that can linger on for a long period of time if not resolved.

Re-escalation means that the conflict started to get very serious again even after a mediator stepped in.

Because a mediator party had already stepped into the case and they were already trying to resolve issues, a physical altercation means that it re-escalated.

read more

https://brainly.com/question/14378206?referrer=searchResults

https://brainly.com/question/21204378?referrer=searchResults

Ramirez Company installs a computerized manufacturing machine in its factory at the beginning of the year at a cost of $48,400. The machine's useful life is estimated at 10 years, or 394,000 units of product, with a $9,000 salvage value. During its second year, the machine produces 33,400 units of product.

Required:
Determine the machineâs second-year depreciation and year end book value under the straight-line method.

Answers

Answer:the machine’s second-year depreciation and year end book value under the straight-line method is $3,990 and$40,420 respectively.

Explanation:

Straight line depreciation is calculated as

Depreciation= Initial value – salvage value / useful life

Depreciation=($48,400- $9,000)/10=$3,990

The depreciation expense each year would be $3990

Book value = Cost of asset- accumulated deprecation

Book value = Cost of asset - (2 years x depreciation)

=  $48,400- (2 x $3,990)

= $40,420

Therefore, the machine’s second-year depreciation and year end book value under the straight-line method is $3,990 and$40,420 respectively.

Draus Products Company uses activity-based costing to compute product costs for external reports. The company has three activity cost pools and applies overhead using predetermined overhead rates for each activity cost pool. Estimated costs and activities for the current year are presented below for the three activity cost pools.
Estimated Overhead Cost Expected Activity
Activity #1 $60,048 4,800
Activity #2 $58,656 2,400
Activity #3 $130,324 4,400
Actual costs and activities for the current year were as follows.
Actual Overhead Cost Actual Activity
Activity #1 $59,798 4,830
Activity #2 $58,476 2,370
Activity #3 $130,234 4,450
The total amount of the debits to the manufacturing overhead during the year was closest to:__________.
a. $248,508.
b. $248,988.
c. $250,334.
d. $251,110.

Answers

Answer:

a. $248,508.

Explanation:

The calculation of the total amount of the debits to the manufacturing overhead during the year is given below:

Total Amount of Debits should be

= Actual Overhead Cost

= $59,898 + $58,476 + $130,324

= $248,508

Hence, the total amount of the debits to the manufacturing overhead during the year is $248,508

Therefore the correct option is a.

Other Questions
how can nursing models be used to support patient care planning PLEASE HELP!!!write an equation in slope-intercept form for the line with y-intercept 1 and slope 4. Calculate K for 2CO2(g) 2CO(g) + O2(g)given that the equilibrium concentrations of carbon monoxide, oxygen and carbon dioxide are 2.0 x 10-6 M, 1.0 x 10-6 M, and 0.25 M respectively. is there anyone who can help with us government? You have been asked to help a top nutrition researcher conduct human experiments on vitamin C. As the subjects walk into the laboratory, you distribute all the vitamin C pill bottles to the girls and all the placebo pill bottles to the boys. The researcher instantly informs you that there are two errors in your research practice. What steps should you have done differently?a. given all the boys the vitamin C and the girls the placebo, and told them what they were gettingb. Distributed the bottles randomly, randomized the subjects, and told them what they were getting.c. Told the subjects which group they were in, and prevented yourself from knowing the contents of the pill bottles.d. Prevented yourself from knowing what was in the pill bottles, and distributed the bottles randomly to the subjects. 6. Plants play a vital role in the environment because photosynthesisA. uses atmospheric oxygen and carbon dioxide to produce sugars and water.B. uses atmospheric oxygen and water to produce carbon dioxide and water.C. uses atmospheric carbon dioxide and water to produce sugars and oxygen.D. uses atmospheric oxygen to produce sugars and water. What are the three main objectives when editing a document?A correcting punctuation errorsB rearranging some of the pointsC correcting improper sentence structuresD removing irrelevant contentE correcting spelling mistakes The rainbow surface of a CD or DVD is the result of a transmission grating.True or False Hi! Just a quick question, whats the equation i have to type?The sum of the angle measures of the polygon is 540. Write and solve an equation to find the value of x. predict meaning of dimension name any twelve countries where is the nepalease go to work. mention why do they need to go there Inwhat ratio does the point (m, 4) divide the line joining points (5, 1) and(-3, 2)? Also, find the value of m.what ratio does the point divide the line -10 .1. , , , , , .2. , , , . Pls pls please help Macao was a __________.a.trade route.c.British explorer.b.port city.d.Chinese delicacy. Consider the line 9x + 8y = -8.What is the slope of a line perpendicular to this line?What is the slope of a line parallel to this line? 5. What was the verdict in President Johnson's impeachment trial? a) He was found guilty.b) He was removed from office.c) He escaped conviction by one vote.d) He was forced to confess his guilt. Objective of environment education What is mountain ecosystem? with example 8x + 2 = = 7 + 5x + 15 A 40-foot tree casts a shadow 60 feet long. How long would the shadow of a 6-foot man be at that time?