If 35% of a natural area is to be developed, leaving 500 acres untouched, how many acres are to be developed?
2 answers:
Result:
Acres to be developed = 269.23 acres
Step-by-step breakdown:
Let A represent the total acres of the natural area slated for development.
When 35% of A acres are developed, the remaining area will be (100 - 35 = 65%).
The question specifies that 65% of A (the untouched acres) amounts to 500 acres.
This indicates the total natural area equals 769.23 acres.
Consequently, the area designated for development, which is 35% of A, is calculated as A×35%.
Thus, the area of the natural land that will be developed is 269.23 acres.
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Response:
e. 545
Detailed explanation:
In a survey sample containing n individuals, with a success probability of , and a confidence level of
, the ensuing confidence interval for proportions is established.
Wherein
z denotes the z-score corresponding to a probability value of .
For this scenario, we find:
The estimate averages the two bounds. Thus
95% confidence level
Consequently, z represents the z value corresponding to the p-value of , hence
.
The lower boundary of this interval is:
In this query, L = 0.82. Therefore
Thus, the accurate response is:
e. 545