Answer:
The standard deviation of the sampling distribution of this sample mean is 0.447 ml.
Step-by-step explanation:
We are given that a bottling company fills bottles with a mean of 500 ml of liquia, with a standard deviation of 2 ml. Quality control randomly samples 20 bottles at a time.
<em />
<em>Let </em><em> = sample mean volume of liquid in bottles</em>
The Sampling distribution of the sample mean also follows normal distribution;
As we know that ; Population mean = = 500 ml
Population Standard deviation = = 2 ml
n = sample of bottles = 20
<u>Now, the mean of sampling distribution is given by;</u>
Sample Mean, = Population mean = 500 ml
<u>And, standard deviation of the sampling distribution of this sample mean is given by;</u>
Standard deviation = = = 0.447 ml
Hence, the standard deviation of the sampling distribution of this sample mean is 0.447 ml.
Answer:
5
Step-by-step explanation:
Divide 10 by 2, the result of which is 5, this is the y coordinate of the midpoint
Answer: -8
Step-by-step explanation:
Your below so the integer will be negative.
1)
you have similar triangles(ABC, ADE), so their side length ratios are equal
8/2=4/CE
CE*4=4
CE=1
2)
angle bisector theorem:
CD/DA=BC/BA
CD/DA=10/8
I:AD=10CD/8
we also know AC=AD+CD=6
II:CD=6-AD
insert II in I:
AD=10(6-AD)/8
=5(6-AD)/4
=(30-5AD)/4
4AD=30-5AD
9AD=30
3AD=10
AD=10/3