Answer:
3.706 liters
Step-by-step explanation:
Hello
assuming that these measures correspond to the internal measures of the thermos,
we can calculate the volume as, the volume of a cylinder, which is given by

where r is the radius of the base, and h the height
also
Diameter=2r
r=Diameter/2
Step 1
let
h=8 in
base = diameter = 6 inch
r=diameter/2
r=6/2 inch,r=3 inch
Step 2
Put the values into the equation

Step 3
Now, the unit (cubic inches) is not an usual unit for measuring coffee, let´s convert cubic inches into liters by knowing
1 inch = 2.54 cm
1 litro = 1000 cubic centimeters

1 cubic inch = 16.3870 cubic centimeters

Step 4
Finally, convert cubic centimeters into liters
I can put 3.706 liters in the thermos
Have a good day
Answer:
Yes the conclusion in the question is a reasonable conclusion
Step-by-step explanation:
From the question we are told that
The sample size is
The sample mean for USA is 
The sample mean for Mexico is 
The sample standard deviation for USA is 
The sample standard deviation for Mexico is 
The null hypothesis is 
The alternative hypothesis is 
Generally the test statistics is mathematically represented as

=> 
=> 
From the z table the area under the normal curve to the left corresponding to -10 is

Generally from the value obtained we see that
The p-value is <
hence
The decision rule is
Reject the null hypothesis
The conclusion is
The is sufficient evidence to conclude that adults in the United States get less sleep on work nights than adults in Mexico
Hence the conclusion in the question is a reasonable conclusion
The length of one side is 5
Answer:
(A)A and C
Step-by-step explanation:
In each case, represent each of the
as a column vector where each row corresponds to the constant term, coefficient of t and
respectively.
A= The set where
![A=\left[\begin{array}{ccc}1&0&1\\0&0&5\\0&1&0\end{array}\right]](https://tex.z-dn.net/?f=A%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%260%261%5C%5C0%260%265%5C%5C0%261%260%5Cend%7Barray%7D%5Cright%5D)

B: The set where 
![B=\left[\begin{array}{ccc}0&0&0\\1&0&2\\0&1&5\end{array}\right]\\|B|=0](https://tex.z-dn.net/?f=B%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%260%260%5C%5C1%260%262%5C%5C0%261%265%5Cend%7Barray%7D%5Cright%5D%5C%5C%7CB%7C%3D0)
C: The set where 
![C=\left[\begin{array}{ccc}1&0&1\\0&0&5\\0&1&1\end{array}\right]\\|C|=-5](https://tex.z-dn.net/?f=C%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%260%261%5C%5C0%260%265%5C%5C0%261%261%5Cend%7Barray%7D%5Cright%5D%5C%5C%7CC%7C%3D-5)
Since the determinants of A and C are not 0, the set of vectors in A and C are linearly independent.