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.
When the quadratic expression is x^2 +ax + ..., the binomial square will be
.. (x +(a/2)^2
You have a=-2, so the binomial square will be of the form (x -1)^2. You don't even need to work out the rest of it to know that ...
.. the 4th selection is appropriate.
Answer:
(9, 27 )
Step-by-step explanation:
Since the dilatation is centred at the origin, multiply each of the coordinates of the original point by the scale factor of 3
(3, 9 ) → (3(3), 3(9)) → (9, 27 )
All you need to do is multiply the two together
12 times 16 = 192 copies
Answer:
b) 1000m
Step-by-step explanation:
the law of sines.
you know all the angles and the length of the side a
