Answer:
3.5 cm
Step-by-step explanation:
6x -1 = 4x + 6
2x = 7
x = 3.5
<span>Direct proof. A direct proof is a way of establishing the truth or falsehood of a given mathematical statement by a combination of established facts, usually axioms, lemmas and theorems. It assumes the hypothesis of a conjecture is true and then uses a series of logical deductions to prove that the conclusion as well.</span>
Answer:
a. 
b. 
c. See the step-by-step explanation.
Step-by-step explanation:
A table given by OP
State Year
Tennessee 2002
Tennessee 2002
Ohio 2002
Alabama 2003
Maine 2003
Florida 2004
Florida 2004
Florida 2004
Texas 2004
Texas 2004
California 2005
California 2005
Kansas 2005
a. There are 2 Texas quarters and 13 coins in total, so the probability of selecting a Texas quarter at random is
.
b. Analagously, the probability is
, because there are 3 quarters minted in 2002.
c. See a and b.
That is true. It doesn't matter how many 0s you put after it just before it.