Explanation:
The Clean Air Act was introduced in 1963 with the aim of safeguarding both the environment and public health in the United States.
Benefits to the environment:
- Minimizes air pollution by imposing standards on industries to regulate the emission of harmful wastes.
- Encourages individuals to be more active due to the availability of clean air
- Safeguards the ozone layer
Drawbacks for the industry:
- Represents a significant obstacle for industries
- Some products cannot be manufactured due to emissions exceeding the limits set by the Clean Air Act.
While the Clean Air Act is crucial for environmental protection, there are many skilled individuals in the industry who can wisely manage pollution and still find success amidst these challenges.
1) The minimum average total cost occurs when Ted catches and processes 2,000 fish, leading to a cost of $45 per fish. 2) When the market price is set at $51 per fish, Ted's optimal output is 3,000 fish, yielding a profit of $12,990. 3) At a market price of $45 per fish, Ted would again produce 2,000 fish but would not earn any profit.
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.
