Select true or false for each statement.

for a real number a, a + 0 = a.

for a real number a, a + (-a) = 1.

for a real numbers a and b, | a - b | = | b - a |.

for real numbers a, b, and c, a + (b ∙ c) = (a + b)(a + c).

for rational numbers a and b when b ≠ 0, is always a rational number.

> > > > > > > true or false < < < < < < < for each one

When y’all answer can y’all explain too !

Part a: sam rented a boat at $225 for 2 days. if he rents the same boat for 5 days, he has to pay a total rent of $480. write an equation in the standard form to represent the total rent (y) that sam has to pay for renting the boat for x days. (4 points)

Atextile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. the company wishes to test the hypothesis upper h subscript 0 baseline colon mu equals 12 against upper h subscript 1 baseline colon mu less-than 12 using a random sample of n equals 4 specimens. calculate the p-value if the observed statistic is x overbar equals 11.8. round your final answer to five decimal places (e. g. 98.76543).