Answer:
The 95 percent confidence interval for the true mean metal thickness is between 0.2903 mm and 0.2907 mm
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.

The lower end of the interval is the sample mean subtracted by M. So it is 0.2905 - 0.0002 = 0.2903 mm
The upper end of the interval is the sample mean added to M. So it is 0.2905 + 0.0002 = 0.2907 mm
The 95 percent confidence interval for the true mean metal thickness is between 0.2903 mm and 0.2907 mm
Simplify what you do not have anything written down or anything to look at.
Answer: D
Step-by-step explanation:
Remember that the Opposite side to an angle is in the same order of length as the Angle. So,
. Using Cross multiplication, this answer can be solved:
, 60 x 12 = 720, and 90 x 8 = 720. N = 8.
, 30 x 12 = 360, and 90 x 4 = 360. N = 4
Answer:
The first graph
Step-by-step explanation:
Answer:
x = 13
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² = 5² + 12² = 25 + 144 = 169 ( take the square root of both sides )
x =
= 13