Venona is solving the equation-3+4x=9 in order to isolate the variable term
1 answer:
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Answer:
a) The 98% confidence interval for the mean weight is between 10.00409 grams and 10.00471 grams
b) 49 measurements are needed.
Step-by-step explanation:
Question a:
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 .
That is z with a pvalue of , so Z = 2.327.
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.
The lower end of the interval is the sample mean subtracted by M. So it is 10.0044 - 0.00031 = 10.00409 grams
The upper end of the interval is the sample mean added to M. So it is 10 + 0.00031 = 10.00471 grams
The 98% confidence interval for the mean weight is between 10.00409 grams and 10.00471 grams.
(b) How many measurements must be averaged to get a margin of error of +/- 0.0001 with 98% confidence?
We have to find n for which M = 0.0001. So
Rounding up
49 measurements are needed.
Answer:
Sum of the interior angles = (n-2) x 180°
where
n is the number of sides of the polygon
Step-by-step explanation:
The formula for the sum of the interior angles of a polygon is:
where
is the sum of the interior angle of the polygon
is the number of polygons
Let's check the formula using an example:
We want to find the sum of the interior angles of a square, we know that a square has 4 sides, so .
Replacing values
We can apply the same procedure to any convex polygon with n sides.