According to modern science, earth is about 4.5 billion years old and written human history extends back about 10,000 years. suppose you represent the entire history of earth by 12 hours on a clock, with the birth of earth at the stroke of midnight and today at the stroke of noon. based on this information, answer the following two questions:
- how much time on the clock represents 500 million years?
- how long before noon does written human history begin?

Paint color preference children adults total 0.6 0.77 liked new paint color disliked new paint color 0.4 0.15 0.23 total 1.0 1.0 1.0 which value for x completes the conditional relative frequency table by column?

Aswimming pool had 2.5 million liters of water in it. some water evaporated, and then the pool only had 22 million liters of water in it. what percent of the water evaporated?

Asystem of linear equations with more equations than unknowns is sometimes called an overdetermined system. can such a system be consistent? illustrate your answer with a specific system of three equations in two unknowns. choose the correct answer below. a. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 6 b. no, overdetermined systems cannot be consistent because there are fewer free variables than equations. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 12 c. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 8 d. no, overdetermined systems cannot be consistent because there are no free variables. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 24