Can anyone solve the first question urgent!!!
1 answer:
Answer:
255
Step-by-step explanation:
The recursive formula is used to find the terms one-by-one, unless you convert it to an explicit formula.
first term (given): 3
2nd term = 4·3 +3 = 15
3rd term = 4·15 +3 = 63
4th term = 4·63 +3 = 255
_____
Looking at the sequence of terms, we see that an explicit formula might be ...
an = 4^n -1
Then the 4th term is
a4 = 4^4 -1 = 256 -1 = 255
_____
<em>Comment on the problem statement</em>
This is NOT an Arithmetic Progression. An arithmetic progression has a <em>common</em> <em>difference</em> between terms. Here, the differences are 12, 48, 192, numbers that are <em>different</em> from one pair of adjacent terms to the next.
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Answer:
The confidence interval at the 99% confidence level for the proportion of all adult Americans who believe in astrology is (0.2251, 0.2749). This means that we are 99% sure that the true proportion of all adult Americans who believe in astrology is in this interval.
Step-by-step explanation:
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 zscore that has a pvalue of .
For this problem, we have that:
99% confidence level
So , z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:
The upper limit of this interval is:
The confidence interval at the 99% confidence level for the proportion of all adult Americans who believe in astrology is (0.2251, 0.2749). This means that we are 99% sure that the true proportion of all adult Americans who believe in astrology is in this interval.