Is 92% of 30 = < >to 48% of 75
2 answers:
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Answer:
31
Step-by-step explanation:
The series are given as geometric series because these terms have common ratio and not common difference.
Our common ratio is 2 because:
1*2 = 2
2*2 = 4
The summation formula for geometric series (r ≠ 1) is:
or
You may use either one of these formulas but I’ll use the first formula.
We are also given that n = 5, meaning we are adding up 5 terms in the series, substitute n = 5 in along with r = 2 and first term = 1.
Therefore, the solution is 31.
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Summary
If the sequence has common ratio then the sequence or series is classified as geometric sequence/series.
Common Ratio can be found by either multiplying terms with common ratio to get the exact next sequence which can be expressed as meaning “previous term times ratio = next term” or you can also get the next term to divide with previous term which can be expressed as:
Once knowing which sequence or series is it, apply an appropriate formula for the series. For geometric series, apply the following three formulas:
Above should be applied for series that have common ratio not equal to 1.
Above should be applied for series that have common ratio exactly equal to 1.
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Topics
Sequence & Series — Geometric Series
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Others
Let me know if you have any doubts about my answer, explanation or this question through comment!
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Answer:
a) 0.0202
b)The seller's claim is not correct.
c) If the seller's claim is true we cannot have individual length of 72.15 inch.
Step-by-step explanation:
In the question it is given that
population mean, μ = 72 inch
Population standard deviation, σ = 0.5 inch
Sample size, n = 47
Sample mean, x =72.15 inch
a) z score = =
= 2.0567
P(x ≥ 72.15) = P(z ≥ 2.0567) = 0.5 - 0.4798 = 0.0202
We calculated the probability with the help of standard normal table.
b) The sellers claim that the machine cuts the lumber with a mean length of 72 inch is not correct as we obtained a very low probability.
c)If we assume that the seller's claim is true that is the machine cuts the lumber into mean length of 72 inch then we cannot have an individual length 72.15.
Standard error = = 0.0729
Because it does not lie within the range of two standard errors that is (μ±2 standard error) = (71.8541,72.1458)