How many terms are in the binomial expansion of (2x + 3)5? 4 5 6 7
2 answers:
Answer:- There are 6 terms in the binomial expansion of .
Explanation:-
In algebra, the binomial theorem trace the algebraic expansion of powers of a binomial.
Binomial theorem tells that for any positive integer m, the mth power of the sum of two numbers p and q can be expressed as the sum of n + 1 terms .
Given equation:-, where m=5
Thus, the number of terms in the given expansion is m+1=5+1= 6 terms.
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Answer:
a) The 95% confidence interval to estimate the average fee for the population is between $11.65 and $12.79
b) $0.57
Step-by-step explanation:
We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of .
So it is z with a pvalue of , so
Now, find the margin of error M as such
In which is the standard deviation of the population and n is the size of the sample.
So the answer for b) is $0.57.
The lower end of the interval is the sample mean subtracted by M. So it is 12.22 - 0.57 = $11.65
The upper end of the interval is the sample mean added to M. So it is 12.22 + 0.57 = $12.79
The 95% confidence interval to estimate the average fee for the population is between $11.65 and $12.79