Answer:
384
Explanation:
To determine the sample size needed, we can use the formula for sample size calculation in a survey:
\[ n = \frac{Z^2 \times p \times (1-p)}{E^2} \]
Where:
- \( n \) = required sample size
- \( Z \) = Z-score corresponding to the desired confidence level (for 95% confidence, Z-score is approximately 1.96)
- \( p \) = estimated prevalence rate (0.40)
- \( 1-p \) = complementary probability to the estimated prevalence rate
- \( E \) = desired margin of error (0.05, as 5% of the true value)
Plugging in the values:
\[ n = \frac{(1.96)^2 \times 0.40 \times (1 - 0.40)}{(0.05)^2} \]
\[ n = \frac{3.8416 \times 0.24}{0.0025} \]
\[ n \approx 369.7856 \]
Rounding up to ensure an adequate sample size, the required sample size should be approximately 370 schoolchildren to achieve a 95% chance of observing the prevalence rate within 5% of the true value.
The size of the sample of schoolchildren should be approximately 36880 to give a 95% chance of observing the prevalence rate to within 5% of the true value.
To calculate the required sample size, we can use the formula:
n = (Z^2 * p * (1-p)) / E^2
Where:
In this case, the desired confidence level is 95%, which corresponds to a Z-score of approximately 1.96. The estimated prevalence of malaria is 40%, which can be expressed as 0.4. The margin of error is 5%, which can be expressed as 0.05.
Substituting these values into the formula:
n = (1.96^2 * 0.4 * (1-0.4)) / 0.05^2
Simplifying the equation:
n = (3.8416 * 0.24) / 0.0025
n = 92.1984 / 0.0025
n ≈ 36879.36
Rounding up to the nearest whole number, the required sample size is approximately 36880.
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The main force behind Taiwan's economy growth is Manufacturing. The correct option is c.
Taiwan's economy is a highly developed and market-based. It is the eighth largest in Asia and the twentieth largest in the world in terms of the parity of purchasing power, allowing Taiwan to be classified as an advanced economy through the International Monetary Fund. The World Bank ranks it among the high-income economies. Taiwan is one of the world's most technologically advanced computer microchip manufacturers.
Taiwan has evolved from a recipient of US aid in the 1950s and early 1960s to a donor of aid and a major foreign investor, in investments primarily in Asia.
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Answer:
500 runs
Explanation:
In this question, we are asked to calculate the optimal number of production runs the company should make each year.
Please check attachment for complete solution and step by step explanation
The optimal number of production runs per year for a company that manufactures silverware is determined by minimizing the total cost per year, taking into account the fixed cost per run, the cost per unit, and the cost of storing a unit for a full year. This is achieved when the incremental cost of producing and storing one more set of silverware equals the incremental revenue from selling one more set. The calculation involves differentiating the total cost function with respect to the quantity produced in a single run, and solving this derivative equal to zero.
This question is about determining the optimal number of product runs per year for a company that makes silverware. The optimal number of product runs should minimize the total cost which includes production costs and storage costs. To find this optimal number of product runs, we need to take into consideration, the fixed cost per run, the cost per unit of silverware, and the cost of storing a set for a full year.
Let's define Q as the quantity of silverware sets produced in a single run, C as the cost per run excluding the cost per unit of silverware, V as the variable cost per unit of silverware, and S as the storage cost per set of silverware for a full year. The total cost for a year can then be expressed as:
TC = C * 2500/Q + V + S * Q
Note that the first term of the equation, C * 2500/Q, represents the fixed costs per set of silverware, and the last term, S * Q, represents the total storage cost for the units produced in a single run. Given the values for C ($200), V ($5), and S ($4), the task is to find the value of Q that minimizes TC. You can accomplish this by taking the derivative of TC with respect to Q, setting it equal to zero, and solving for Q. This is a calculus operation beyond the scope of this response, but the concept is that the optimal number of production runs per year is achieved when the incremental cost of producing and storing one more set of silverware is equal to the incremental revenue from selling one more set.
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b. search
c. experience
d. credence
Answer:
Search
Explanation:
A search good is a good in which it's costs can be easily determined before purchasing. It can also be described as a product that can be easily evaluated just by viewing it to determine its quality.
Clothing items fall under the category of search goods because it is easy to identify the value just by looking at its colour, style,size and shape.