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Tasya [4]
2 years ago
5

There are three clues labeled "daily double" on the game show Jeopardy. If three equally matched contenders play, what is the pr

obability that: a. A single contestant finds all three "daily doubles"? b. The returning champion gets all three of the "daily doubles"? c. Each of the players selects precisely one of the "daily doubles"?
Business
1 answer:
yulyashka [42]2 years ago
7 0

Answer:

a)  0.0358

b)  0.0395

c)  0.1506

Explanation:

Number of clues "daily doubles" = 3

Determine the probabilities

<u>a) P(single contestant finds all three ) </u>

assuming event A= a returning champion gets the "daily double" in first trial

P(A) = 1/30 , P(~A) = 29/30              

assuming event B = any player picks up "daily double" after the first move

P(B |~A ) = 1/3

hence : P ( B and ~A ) = 29/30 * 1/3 = 29/90

<em>considering second round </em>

P(player chooses both daily doubles ) = 1/3 * 1/3 = 1/9

∴ P(single contestant finds all three )  = 29/90 * 1/9 = 0.0358

<u>B) P ( returning champion gets all three ) </u>

= (1/30 + 29/90 )* 1/9

= 32 / 810 = 0.0395

<u>c) P ( each player selects only one )</u>

P = 32/405 + 29/405

  = 61 / 405 = 0.1506

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A market supply is a schedule or curve showing the various amounts of a product that producers are willing and able to make available for sale at each possible price during a specific period.

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The demand plan shows that when the price increases, the quantity demanded decreases and vice versa. These points are plotted and the line connecting them is the demand curve. The product downward slope of the demand curve again indicates the law of demand, the inverse relationship between price and quantity demanded.

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3 0
1 year ago
A budget is usually constructed for a period of
Musya8 [376]

A couple of years: Is usually when a budget is usually constructed.  

6 0
3 years ago
If the expected rate of inflation was 3% and the actual rate was 6.2%; the systematic response coefficient from inflation, would
Semenov [28]

The systematic response coefficient from inflation, would result in a change in any security return of <u>3.2 βI</u>.

<u>Explanation</u>:

<em><u>Given</u></em>:

Expected rate of inflation = 3%

Actual rate of inflation = 6.2%

The change in security return can be calculated by obtaining the differences between actual and expected levels of inflation.

Change in security return= Actual rate of inflation- Expected rate of inflation

                                                     = 6.2%-3%

                                                     = 3.2%

<u>Change in security return= 3.2 βI </u>

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7 0
3 years ago
Required information
Triss [41]

Answer:

1. Ending inventory = $3519

2. Cost of Goods Sold = $21030

3. Sales Revenue = $27279

4. Gross Profit = $6249

Explanation:

FIFO method of inventory valuation is whereby the stock that first comes into the business, leaves first. This is common in perishable inventory such as vegetables or fruits.

Jan 1. Beginning inventory: 53 units x $45 = $2385

Total

53 units x $45 = $2385

Apr 7. Purchase 133 units x $47 = $6251

Total

53 units x $45 = $2385

133 units x $47 = $6251

Jul 16. Purchase 203 units x $50 = $10150

Total

53 units x $45 = $2385

133 units x $47 = $6251

203 units x $50 = $10150

Oct 6. Purchase 113 units x $51 = $5763

53 units x $45 = $2385

133 units x $47 = $6251

203 units x $50 = $10150

113 units x $51 = $5763

1. Ending inventory = 502 - 433 = 69 hence,

69 units x $51 = $3519

2. Cost of Goods Sold =

[$2385 + $6251 + $10150 + (44 units x $51)] = $21030

OR $24549 - 3519 = $21030

3. Sales Revenue =

433 units x $63 = $27279

4. Gross Profit = Sales Revenue - Cost of Goods Sold hence,

$27279 - 21030 = $6249

4 0
3 years ago
Two incinerators are being considered by a waste management company. Design A has an initial cost of $2,500,000, has annual oper
Vika [28.1K]

Answer:

<u>Desing A:   </u>23,024,370‬

<u>Desing B:   </u>22,520,274.6

It should purchase desing B as the capitalized cost is lower.

Explanation:

We consider annuity for the overhauls and then, perpetuity to consider this incinerators will last indefinitely.

maintenance cost: 800,000 / 0.05 = 16,000,000

<u>Overhaul: </u>

The company will need to fund 1,250,000 every 5 years. We need to determinate the annuity to obtain this future value:

FV \div \frac{(1+r)^{time} -1}{rate} = C\\

PV 1,250,000

time 5

rate 0.05

1250000 \div \frac{(1+0.05)^{5} -1}{0.05} = C\\

C  $  $ 226,218.498

<u>Then at perpetuity:</u>

$ 226,218.498  / 0.05 = 4,524,370

<u>Desing A capitalized cost:</u>

2,500,000 + 16,000,000 + 4,524,370 = 23,024,370‬

We do the same for Desing B:

investment: 5,750,000

maintenance: 600,000 / 0.05 = 12,000,000

overhaul:

3000000 \div \frac{1-(1+0.05)^{-10} }{0.05} = C\\

C  $ 238,513.725

238,513.73/0.05 =  4,770,274.6

Capitalized cost: 5,750,000 + 12,000,000 + 4,770,274.6 = 22,520,274.6‬

8 0
3 years ago
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