Answer:
155 women must be randomly selected.
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 Z-table as such z has a p-value of
.
That is z with a pvalue of
, so Z = 1.645.
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 population standard deviation is known to be 28 lbs.
This means that 
We want 90% confidence that the sample mean is within 3.7 lbs of the populations mean. How many women must be sampled?
This is n for which M = 3.7. So






Rounding up:
155 women must be randomly selected.
Answer:
1,260
Step-by-step explanation:
Multiply how much you get by the hours. Hope this helps!
The three vectors
,
, and
each terminate on the plane. We can get two vectors that lie on the plane itself (or rather, point in the same direction as vectors that do lie on the plane) by taking the vector difference of any two of these. For instance,


Then the cross product of these two results is normal to the plane:

Let
be a point on the plane. Then the vector connecting
to a known point on the plane, say (0, 0, 1), is orthogonal to the normal vector above, so that

which reduces to the equation of the plane,

Let
. Then the volume of the region above
and below the plane is

Answer:
180,45
Step-by-step explanation:
4/5 recommend, so about 4/5(120) = 96 doctors recommend the brand.