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.
The net income recorded for 2020 totals $171,360. Explanation: The calculation for net income is outlined as follows: Net income = Net sales - Cost of goods sold - Administrative costs - Selling costs - Loss from discontinued operations - income tax expenditure, which translates to $550,800 - $214,200 - $81,600 - $40,800 - $42,840 equals $171,360. The income tax expense calculation is done as follows: Income tax expense = (Net sales - Cost of goods sold - Administrative costs - Selling expenses - Discontinued operations) multiplied by the income tax rate, yielding $214,200 multiplied by 20%, resulting in $42,840.
Answer:
c) Providing a discount for students and seniors.
Explanation:
Price discrimination occurs when a seller charges different prices for the same product to varying customers. It is typically employed to capitalize on consumer surplus.
When a chocolatier identifies a buyer group willing to pay less, they can focus on this demographic and provide them with a lower payment option.
In this scenario, offering discounts to students and seniors indicates that the chocolatier has recognized these groups as customers likely to purchase chocolates for less than $20.
45.7mL/s = 45.7(3600)mL/(3600)s
= 164520mL/3600s
= 164520mL/hr
= 0.16452kL/hr
