Determine whether the mathematical statement below will represent a rational/irrational number always, sometimes or never. The sum of a rational number and an irrational number is irrational.
The sum of two rational numbers is rational.
The product of a rational number and an irrational number is irrational.
The sum of two irrational numbers is irrational.
The product of two rational numbers is rational.
The product of two irrational numbers is irrational.
The circumference of a circle is irrational.
The diagonal of a square is irrational.
Between two rational number there is an irrational number
Between two irrational number there is an irrational number
If the circumference of a circle is rational, the area is rational.

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an advantage of the standard deviation is that it increases as the dispersion of the data increases. e. the interquartile range is preferred when the data are not skewed or no have outliers. an advantage of the standard deviation is that it uses all the observations in its computation.

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have