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maxonik [38]
3 years ago
9

There are two teams of students: team A with 3 sophomores, 8 juniors and 13 seniors; and team B with 5 sophomores, 7 juniors and

6 seniors. Suppose we pick one student from each team at random. Find the probability that both students are of the same type (that is, both sophomores, or both juniors, etc).
Business
1 answer:
wariber [46]3 years ago
6 0

Answer:

sopomores= 0.0397

juniors= 0.1481

seniors= 0.2063

Explanation:

Giving the following information:

There are two teams of students:

Team A with 3 sophomores, 8 juniors, and 13 seniors. Total of 24 students.

Team B with 5 sophomores, 7 juniors, and 6 seniors. Total of 18 students.

First, we need to calculate the probability of selecting any student on each team:

Team A:

sophomores=3/21= 0.1428

juniros= 8/21= 0.3809

senors= 13/21= 0.619

Team B:

sopomores= 5/18= 0.2778

juniors= 7/18= 0.3889

seniors= 6/18= 0.3333

Now, we can calculate the probability of selecting the same type of students:

sopomores= 0.1428*0.2778= 0.0397

juniors= 0.3809*0.3889= 0.1481

seniors= 0.619*0.3333= 0.2063

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Drogo, Inc., is trying to determine its cost of debt. The firm has a debt issue outstanding with 14 years to maturity that is qu
just olya [345]

Answer:

a. 7.30%

b. 4.745%

Explanation:

For computing the pretax cost of debt we have to applied the RATE formula i.e to be shown in the attachment below:

Given that,  

Present value = $1,000 × 106% = $1,060

Assuming figure - Future value or Face value = $1,000  

PMT = 1,000 × 8% ÷ 2 = $40

NPER = 14 years × 2 = 28 years

The formula is shown below:  

= Rate(NPER;PMT;-PV;FV;type)  

The present value come in negative  

So, after applying the above formula

a. The pretax cost of debt is

= 3.65%  × 2

= 7.30%

b. And, the after tax cost of debt would be

= Pretax cost of debt × ( 1 - tax rate)

= 7.30 % × ( 1 - 0.35)

= 4.745%

4 0
3 years ago
Santayana Company purchased a machine on January 1, 2011, for $20,000 with an estimated salvage value of $5,000 and an estimated
Aliun [14]

Answer:

$1,125

Explanation:

Given that,

Cost of machine = $20,000

Estimated salvage value = $5,000

Estimated useful life = 8 years

Depreciation refers to the reduction in the value of the fixed assets of a particular company with the passage of time.

Here, we are using the straight line method,

Annual depreciation is as follows:

= (Cost of machine - Salvage value) ÷ Estimated useful years

= ($20,000 - $5,000) ÷ 8

= $1,875

Depreciation amount for the year 2011 = $1,875

Depreciation amount for the year 2012 = $1,875

Therefore, the book value of the machine at the beginning of January 1, 2013 is as follows:

= Cost of machine - Depreciation amount for the year 2011 - Depreciation amount for the year 2012

= $20,000 - $1,875 - $1,875

= $16,250

Now, the Santayana decides the machine will last 12 years from the date of purchase and we have already deduct the depreciation for the 2 years. So, we need to consider only 10 years for calculating the new annual depreciation.

Salvage value remains the same.

New annual depreciation:

= (Book value at the beginning of 2013 - Salvage value) ÷ Useful life

= ($16,250 - $5,000) ÷ 10

= $11,250 ÷ 10

= $1,125

8 0
3 years ago
Horten Sporting Goods Corporation makes two types of racquets, tennis and badminton. The company uses the same facility to make
Aneli [31]

Answer:

Horten Sporting Goods Corporation

                                    TR                BR

a. Cost per unit         $66.98        $62.08

b. Price of Badminton Racquets = $80.70

Explanation:

a) Data and Calculations:

                                   Tennis              Badminton

                                Racquets              Racquets

Units produced          70,000                 30,000

Direct costs:

Direct materials      $17.10 per unit      $14.80 per unit

Direct labor             33.50 per unit        23.10 per unit

Category       Estimated   Cost Driver                         Amount of Cost Driver

                          Cost                                                      TR         BR      Total

Unit level       $736,000 Number of inspection hrs   15,900  7,100  23,000

Batch level      353,800  Number of setups                     83       39        122

Product level   152,500  Number of TV commercials       4          1            5

Facility level   630,000   Number of machine hrs  30,600 39,400 70,000

Total           $1,872,300

Overhead Rates:

Inspection  = $32 ($736,000/23,000) per inspection hour

Equipment setup = $2,900 (353,800/122) per equipment setup

TV commercials = $30,500 ($152,500/5) per commercial

Depreciation = $9 ($630,000/70,000) per machine hour

Overhead Allocation:

                                                        TR                  BR                    Total

Inspection  = $32                     $508,800       $227,200       $736,000

                               ($32*15,900)           ($32*7,100)

Equipment setup = $2,900       240,700            113,100         353,800

                                ($2,900*83)            ($2,900*39)

TV commercials = $30,500      122,000            30,500          152,500

                               ($30,500 *4)            ($30,500 *1)

Depreciation = $9                    275,400          354,600         630,000

                              ($9 * 30,600)            ($9 * 39,400)    

Total allocated expenses   $1,146,900        $725,400     $1,872,300

Units produced                        70,000           30,000

Overhead cost per unit         $16.384           $24.18

Cost per unit:

                                    TR                BR

Direct materials        $17.10         $14.80

Direct labor               33.50           23.10

Overhead cost          16.38            24.18

Total cost per unit $66.98        $62.08

Cost of Badminton = $62.08

30% markup =              18.62

Price =                        $80.70

7 0
3 years ago
What is a tax bracket?​
Rom4ik [11]

Answer:

a tax bracket refers to a range of income subject to a certain income tax rate.

Explanation:

so basically it's just a range of income taxed at a given rate

8 0
3 years ago
Hirons Air uses two measures of activity, flights and passengers, in the cost formulas in its budgets and performance reports. T
Tatiana [17]

Answer:

$ 10,867 F

Explanation:

Actual results$305,100

Flexible budget [$56,840+ ($2,874× 89) + ($13 ×257)]

$56,840+$255,786+$3,34= $315,967

Spending variance $ 10,867

($305,100-$315,967)

The spending variance for plane operating costs in November would be closest to $ 10,867 because the actual expense is less than the flexible budget, which makes the variance favorable (F)

8 0
3 years ago
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