Answer:
1. z = -1.91429
The z score tells us that the head circumference of the girl with the down syndrome ( 44.5 cm) is 1.91429 standard deviations below the mean or average head circumference
2. 2.7792%
Step-by-step explanation:
1. Relative to the WHO data, what is this girls z-score?
z score formula is:
z = (x-μ)/σ, where
x is the raw score = 44.5 cm
μ is the population mean = 47.18cm
σ is the population standard deviation = 1.40cm
z = 44.5 - 47.18/1.40
z = -1.91429
What does the z score tell us?
The z score tells us that the head circumference of the girl with the down syndrome ( 44.5 cm) is 1.91429 standard deviations below the mean or average head circumference
2. Using the WHO data in a normal model, what percentage of the girls has a head circumference that is smaller than the girl with Down's Syndrome?
z score = -1.91429
Probability value from Z-Table:
P(z =-1.91429) = P(x<44.5) = 0.027792
Converting to percentage = 0.027792 × 100
= 2.7792%
8 39/40
=8+39/40
=8•40/40+39/40
=320/40+39/40
=320+39/40
=359/40
=8.975
The answer is 8 39/40=8.975
a) Volume of Rectangular prism is 
b) Volume of cube is 
c) Volume of cube is 
d) Volume of Rectangular prism is 
Step-by-step explanation:
Part a)
Volume of rectangular prism with
length= 
width= 
height = 
The formula used to find Volume of rectangular prism is:

Putting values:

So, Volume of Rectangular prism is 
Part b)
Volume of cube with side length of 
The formula used to find Volume of cube is:

Putting value of length and finding volume:

So, Volume of cube is 
Part c)
Volume of cube with side length of 
The formula used to find Volume of cube is:

Putting value of length and finding volume:

So, Volume of cube is 
Part d)
Volume of rectangular prism with
length= 
width= 
height = 
The formula used to find Volume of rectangular prism is:

Putting values:

So, Volume of Rectangular prism is 
Keywords: Volume
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Answer:
where was the first water filter made
Step-by-step explanation: