If inspection department wants to estimate the mean amount with 95% confidence level with standard deviation 0.05 then it needed a sample size of 97.
Given 95% confidence level, standard deviation=0.05.
We know that margin of error is the range of values below and above the sample statistic in a confidence interval.
We assume that the values follow normal distribution. Normal distribution is a probability that is symmetric about the mean showing the data near the mean are more frequent in occurence than data far from mean.
We know that margin of error for a confidence interval is given by:
Me=
α=1-0.95=0.05
α/2=0.025
z with α/2=1.96 (using normal distribution table)
Solving for n using formula of margin of error.

n=
=96.4
By rounding off we will get 97.
Hence the sample size required will be 97.
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The given question is incomplete and the full question is as under:
If the inspection division of a county weights and measures department wants to estimate the mean amount of soft drink fill in 2 liters bottles to within (0.01 liter with 95% confidence and also assumes that standard deviation is 0.05 liter. What is the sample size needed?
30% is equivalent to the fraction 3/10
As 3/10 cannot be simplified anymore, it is your final answer.
Answer:
-45 < x < 5 (see graph below)
Step-by-step explanation:
to isolate x by itself, subtract 20 from all three terms of the equation:

once you finish subtracting 20, x should be by itself, making the equation graphable:

since x is not equal to -45 or 25, the graph line endings have open circles.
Answer:
The complementary angle is 72
Step-by-step explanation:
Complementary angles add to 90 degrees
Let x be the complementary angle
x+18 = 90
Subtract 18 from each side
x = 90-18
x = 72
Answer:

Step-by-step explanation:
The given expression is
.
Since, 
And 
Expression will become,






Therefore, Simplified form of the given expression will be
.