Fibonacci numbers can be found in many places in nature, for example, the number of petals in a daisy, the number of spirals in
a pine cone or a pineapple, and even the way branches grow on a tree. Find an example of something natural where you can see a Fibonacci number in action, and sketch it here.
1 answer:
Answer: The Fibonacci sequence is a numerical pattern that can appear in many living things. It was first described in the 12th century by the Italian Leonardo Finonacci.
It is an infinite sequence that begins with 0 and 1. The sequence is completed with the sum of the previous 2 numbers.
Following this logic, we can assemble the sequence: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144 and so on.
This sequence is very common in nature and can be observed in many living things, such as insects, plants, the human face, even a chameleon's tail.
For example in a shell.
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Using the z-distribution, we have that:
a) A sample of 601 is needed.
b) A sample of 93 is needed.
c) A. Yes, using the additional survey information from part (b) dramatically reduces the sample size.
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of
, we have the following confidence interval of proportions.
In which z is the z-score that has a p-value of .
The margin of error is:
95% confidence level, hence, z is the value of Z that has a p-value of
, so
.
For this problem, we consider that we want it to be within 4%.
Item a:
- The sample size is <u>n for which M = 0.04.</u>
- There is no estimate, hence
Rounding up:
A sample of 601 is needed.
Item b:
The estimate is , hence:
Rounding up:
A sample of 93 is needed.
Item c:
The closer the estimate is to , the larger the sample size needed, hence, the correct option is A.
For more on the z-distribution, you can check brainly.com/question/25404151