Tonya wrote the equation below which solves for x.
1 answer:
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Answer:
<em>summation of five times negative three to the power of n from n equals zero to infinity</em>
Step-by-step explanation:
<u>Summation Notation </u>
It represents the sum of a finite or infinite number of terms. Let's analyze the terms of the given succession:
5-15+45-135+...
If we take 5 as a common factor, we have
5(1-3+9-27+...)
The parentheses contain the alternate sum/subtraction of powers of 3. The odd terms are positive, the even terms are negative, thus the exponent must be n starting from 0 or n-1 starting from 1
The summation is then represented by
This corresponds with the option:
<u>summation of five times negative three to the power of n from n equals zero to infinity</u>
The <em><u>correct answer</u></em> is:
0.0764
Explanation:
We will use a z-score to answer this. The formula for a z-score is
, where μ is the mean and σ is the standard deviation. Using our information in this problem, we have
Using a z-table, we look up the z-score 1.43. The area under the curve to the left of, or less than, this value is 0.9236. This means the probability that the time is greater than this is 1-0.9236 = 0.0764.