What is the solution to this equation? 4(x - 6) = 2x + 12
2 answers:
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Answer:
With a .95 probability, the sample size that needs to be taken if the desired margin of error is .04 or less is of at least 216.
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 .
The margin of error:
For this problem, we have that:
95% confidence level
So , z is the value of Z that has a pvalue of
, so
.
With a .95 probability, the sample size that needs to be taken if the desired margin of error is .04 or less is
We need a sample size of at least n, in which n is found M = 0.04.
With a .95 probability, the sample size that needs to be taken if the desired margin of error is .04 or less is of at least 216.
Answer: Anything that is 1202 or larger
In other words,
So we could have m = 1202, or m = 1203, or m = 1204, etc.
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Explanation:
- m = number of minutes used
- 0.07m = amount charged for those minutes used excluding the $25
- 0.07m+25 = total monthly bill now including the extra $25 fee
The monthly bill is at least $109.14, since this is the lowest amount she has been charged.
This says that the least number of minutes Martina has used is 1202 minutes.
So if m was a whole number, then m could be selected from the set {1202, 1203, 1204, ...}
Side note: 1202 minutes = 1202/60 = 20.033 hours approximately.