By definition we have:
In mathematics, an irrational number is a number that can not be expressed as a fraction m / n, where m and n are integers and n is different from zero.
It is any real number that is not rational, and its decimal expression is neither exact or periodic.
Answer:
B. False
Using the Central Limit Theorem, the standard error of the distribution of differences in sample means is of 1.97.
<h3>What is the standard error for each sample?</h3>
According to the Central Limit Theorem, it is given by the <u>standard deviation of the sample divided by the square root of the sample size</u>, hence:
<h3>What is the square root of the distribution of differences?</h3>
It is given by the <u>square root of the sum of the standard errors of each sample squared,</u> hence:
s = sqrt(1.1² + 1.63²) = 1.97.
More can be learned about the Central Limit Theorem at brainly.com/question/16695444
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First: Equations are solved. 
is an expression, and expressions can be simplified.
Now suppose 
. Imagine a right triangle with one angle (not the one opposite the hypotenuse, of course) labeled 
. This relation suggests that
and under the hood, we're assuming that 
, because otherwise we wouldn't be able to properly alternate from 
to so seamlessly.
Now,
so the given expression is the same as the tangent of that same angle .
If , then in the triangle, the leg opposite the angle occurs with the length of the hypotenuse in a ratio of to 2. By the Pythagorean theorem, the remaining side - call it 
- satisifies
and we have
Answer:
Step-by-step explanation:
