Answer:
(15.8495,16.2505)
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 16.05 ounces
Standard Deviation, σ = 0.2005 ounces
We are given that the distribution of amount poured into the bottles is a bell shaped distribution that is a normal distribution.
Empirical rule:
- It states that for a normal distribution, almost all data falls within three standard deviations (denoted by σ) of the mean (denoted by µ).
- It shows that 68% falls within the first standard deviation (µ ± σ), 95% within the first two standard deviations (µ ± 2σ), and 99.7% within the first three standard deviations (µ ± 3σ).
Confidence interval:
Putting the values, we get,
Answer:
We need a sample size of at least 650
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.
In this problem:
We need a sample of size at least n
n is found when 
So
Rounding up
We need a sample size of at least 650
Answer:
The slope would be 2
It goes up 6 times, then to the right 3 times. 6/3=2
Step-by-step explanation:
Remark
You need to start with three facts.
x and y are complements which means that x + y = 90
Sin(x) = cos(90 - x)
<CPN = <DPN Definition of a bisector.
From the 3 facts above, we can gather than
CPN + y = 90
Therefore the cos of CPN = Sin(y)
Answer:
In geometry, parallel lines are lines in a plane which do not meet; that is, two straight lines in a plane that do not intersect at any point are said to be parallel. Colloquially, curves that do not touch each other or intersect and keep a fixed minimum distance are said to be parallel.
Step-by-step explanation:
