Answer:
1. 0.6
2. 0.77
Step-by-step explanation:
Decimal for number 1 is 0.61 and 0.6 is less.
Decimal for 2 is 0.8 so 0.77 is less.
Answer:
Proofs for Pythagoras Theorem usually use visual/geometry approaches. I don't post pictures in my answers, so I will present a linear algebra approach. You can see it in the blog posted by Professor Terence Tao.
Note that there are several elegant proofs using animations and drawings, but this is just personal.
I've seen this some time ago, it is really interesting proof.
It states that
is equivalent to the statement that the matrices
and
have the same determinant.
The determinant of the first matrix is 
The determinant of the second matrix is 
Once the linear transformations associated with these matrices differ by rotation, we claim that
Answer: -1.55
Step-by-step explanation:
Given : Mean : 
Standard deviation : 
Sample size : 
Sample mean : 
The test statistic for the population mean is given by :-


Hence, the value of z statistic = -1.55
So for a mother ages 28 , there is a chance of 1 in 1000 , but at the age of 38 there is a chance of 1 in 200 . to work out how many times more likely it is for the 38 year old to give birth to a child with down syndrome is to divide 1000 by 200 and this gives us 5 . so the 38 year old is 5 times more likely to give birth to a child with down syndrome than a 28 year old :)
If x is the number of sides of the regular polygon, then the sum of the interior angles is (x - 2) * 180 = 56 * 90. Solving for x gives 30 for the number of sides of the regular polygon.
To get the central angles measure, divide 360 by 30 to get 12 degrees for the measure of one of the 30 central angles.
Answer: 12 degrees