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Law Incorporation [45]
4 years ago
14

There are 5 applicants for a job, all of whom have different qualifications. the employer is in a hurry, and does not interview

the applicants or check their references. 2 of the applicants are hired. what is the probability that the employer actually hired the 2 best applicants?
Business
1 answer:
Alenkinab [10]4 years ago
5 0
To choose the two best, we have a target of two candidates, A & B
The first one chosen is either A or B, with a propability of 2/5.
The second one is the only interested candidate out of 4, so 1/4.
So probability of choosing the best two is 2/5*1/4=1/10.

Alternatively, use the combination formula, 
P(AB in any order) = 5!/(2!3!)=120/(2*6)=1/10
or in general,
n choose r = nCr = n!/(r!(n-r)!)
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Condensed balance sheet and income statement data for Jergan Corporation are presented here.
IgorLugansk [536]

Answer:

Jergen Corporation

                                             2019                2020

(1) Profit margin Ratios:           13%                10%

(2) Gross profit rate               39.2%             35.7%

(3) Asset turnover                   1.06                 1.02

(4) Earnings per share         $2.63              $1.80

(5) Price-earnings ratio =       3.2x                4.2x

(6) Payout ratio =                 62%                76%

(7) Debt to assets ratio =   32%                28%

Explanation:

a) Data and Calculations:

Jergan Corporation

Balance Sheets

December 31

                                                 2020        2019        2018

Cash                                     $ 29,300    $ 17,300    $ 17,000

Accounts receivable (net)      49,900       44,100       47,800

Other current assets             90,900      96,000      63,900

Investments                           55,200      70,200      45,600

Plant and equipment (net)  500,700    370,600    358,000

                                          $726,000 $598,200 $532,300

Current liabilities                 $84,800    $79,100    $70,300

Long-term debt                    145,700     85,900      50,800

Total debt                         $230,500  $165,000    $121,100

Common stock, $10 par     348,000   320,000     312,000

Retained earnings               147,500     113,200      99,200

                                         $726,000 $598,200 $532,300

Jergan Corporation

Income Statement

For the Years Ended December 31

                                                            2020           2019

Sales revenue                                $743,000    $606,900

Less: Sales returns and allowances 40,000        29,500

Net sales                                          703,000       577,400

Cost of goods sold                          427,400       371,500

Gross profit                                     275,600      205,900

Operating expenses

(including income taxes)                 184,210        148,160

Net income                                    $ 91,390      $ 57,740

                                                     2020       2019     2018

Market price of common stock  $8.50      $7.50   $7.00

                                               2020        2019        2018

Retained earnings               147,500       113,200     99,200

Net income                         $ 91,390    $ 57,740

Dividend paid                     $57,090     $43,740

Outstanding shares             34,800       32,000

Dividend per share              $1.64         $1.37

Average Assets:             $662,100        $565,250

                    ($726,000 + $598,200)/2  ($598,200 + $532,300)/2

a) Ratios:

                                      2019                                  2020

(1) Profit margin Ratios: 13% ($91,390/$703,000)  10% ($57,740/$577,400)

(2) Gross profit rate     39.2%                                35.7%

                ($275,600/$703,000)                          ($205,900/$577,400)

(3) Asset turnover          1.06                                 1.02

                 $703,000/$662,100                          $577,400/$565,250

(4) Earnings per share $2.63 ($ 91,390/34,800)   $1.80 ($57,740/32,000)

(5) Price-earnings ratio = 3.2 ($8.50/$2.63)     4.2 ($7.50/$1.80)

(6) Payout ratio =            62% ($1.64/$2.63)     76% ($1.37/$1.80)

(7) Debt to assets ratio =      32%                             28%

                                       ($230,500/$726,000)    ($165,000/$598,200)

     

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