Answer:
- As explained below, with the individual’s score in the 0.03125 fraction of top candidates, they can anticipate securing a position.
Explanation:
Utilizing Chebyshev’s Theorem is key.
This theorem is valid for any dataset, irrespective of its shape.
Chebyshev's Theorem states that at least 1−1/k² of the data falls within k standard deviations from the mean.
For this data set, the specifics are:
- mean: 60
- standard deviation: 6
- score: 84
The number of standard deviations that 84 is from the mean can be calculated as:
- k = (score - mean) / standard deviation
- k = (84 - 60) / 6 = 24 / 6 = 4
Hence, the individual’s score is 4 standard deviations above the mean.
How significant is this?
According to Chebyshev’s Theorem, at least 1−1/k² of the data is within k standard deviations from the mean. Setting k = 4 gives us:
- 1 - 1/4² = 1 - 1/16 = 0.9375
- This implies that half of 1 - 0.9375 exceed k = 4: 0.03125
- Consequently, 1 - 0.03125 is below k = 4: 0.96875
With 70 job openings and 1,000 applicants, the ratio is 70/1,000 = 0.07, indicating the company seeks the top 0.07 of applicants.
Given the individual scores in the top 0.03125 of applicants, they can expect to obtain a job.
Answer:
1. Control and authority of owners - one vote corresponding to each share, easily transferable
2. Simplicity of establishment - necessitates government authorization
3. Ownership transferability - can be transferred without difficulty
4. Capacity to attract substantial capital - significant capability
5. Lifespan - Indefinite
6. Owners' liability - restricted
7. Status under law - recognized as a distinct legal entity
8. Tax implications for earnings - corporate earnings face taxation
Explanation:
A corporation represents a type of business:
1. To own a corporation, one must purchase its shares.
2. Establishing a corporation involves obtaining government sanctions and fulfilling numerous legal criteria.
3. Corporations can accumulate funds by selling shares, issuing bonds, and borrowing from banks and other financial institutions.
4. Shareholders' liability is confined to their invested capital.
5. Corporate earnings are subject to taxation, and distributions to shareholders also incur taxes.
6. A corporation exists as a legally separate entity.
7. A corporation can exist indefinitely.
8. Each share grants one vote.
I hope my response is beneficial to you
1) Month Sales
April $299,000
May $337,000
June $387,000
Schedule of anticipated collections
For June, 202x
Cash sales in June = $387,000 x 40% = $154,800
Collections from June's credit sales = $232,200 x 20% = $46,440
May's credit sales collections = $202,200 x 50% = $101,100
April's credit sales collections = $179,400 x 26% = $46,644
Total cash collections in June = $348,984
Month DM purchases
April $44,000
May $55,000
June $55,000
Schedule of expected cash outflows for direct material purchases
For June, 202x
Cash purchases in June = $55,000 x 50% = $27,500
Cash payments for May's purchases = $27,500 x 40% = $11,000
Cash payments for April's purchases = $22,000 x 60% = $13,200
Total cash payments in June = $51,700
2) Month Sales
April $299,000
May $337,000
June $387,000
Schedule of expected collections
For June, 202x
Cash sales in June = $387,000 x 40% = $154,800
Collections from June's credit sales = $232,200 x 30% = $69,660
May's credit sales collections = $202,200 x 50% = $101,100
April's credit sales collections = $179,400 x 18% = $32,292
Total cash collections in June = $357,852
It would be beneficial to compensate the collector, as the 2% decline in uncollectible accounts outweighs the $1,000 they would earn.
3) Month DM purchases
April $44,000
May $55,000
June $55,000
Schedule of expected cash outflows for direct material purchases
For June, 202x
Cash purchases in June = $55,000 x 40% = $22,000
Cash payments for May's purchases = $33,000 x 40% = $13,200
Cash payments for April's purchases = $26,400 x 60% = $15,840
Total cash payments in June = $51,040
Cash payments will see a slight reduction in June.
