An experimenter is studying the effects of temperture, pressure, and type of catalyst on yield from a certain chemical reaction. three different temperatures, four different pressures, and five different catalysts are under consideration.
(a) if any particular experiental run involves the use of single temperature, pressure, and catalyst, how many experimental runs are possible?
(b) how many experimental runs are there that involve use of the lowest temperature and two lowest pressure?

Step-by-step explanation:

Given that an experimenter is studying the effects of temperture, pressure, and type of catalyst on yield from a certain chemical reaction. Three different temperatures, four different pressures, and five different catalysts are under consideration.

a) Experimental runs possible if use of single temperature, pressure and catalyst is there = no of temperatures x no of pressures x no of catalysts

=

b) Here pressure and temperature have no choice as lowest is selected.

no of methods = no of catalysts x 1 x1

= 5

1e+27

step-by-step explanation:

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents