The random numbers below represent 10 trials of a simulation. 2632, 1365, 9367, 2056, 0026, 6564, 1434, 8045, 4781, 8681 the numbers 0–7 represent students who watched television last night, and the numbers 8 and 9 represent students who did not. based on the simulated data, what is the probability that exactly 2 out of a group of 4 randomly selected seventh-graders watched television last night?

answer: x

step-by-step explanation:

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

∈3,600

step-by-step explanation:

chemists are often responsible for designing a chemical reaction and analyzing the products obtained from it. one significant part of designing a chemical reaction is determining the amount of each reactant that is needed and the amount of each product that will be produced. in order to do so, chemists use stoichiometry, the quantitative relationships between reactants and products.