Abag contains two steel balls and five brass balls. the total weight of the bag is 13 pounds. if two steel balls are added and two brass balls are removed, the bag’s weight decreases to 12 pounds. if s is the weight of a steel ball and b is the weight of a brass ball, the system of linear equations representing this situation is . solving the system of linear equations, the weight of a steel ball is , and the weight of a brass ball is .

two data sets with the same median will not have the same varaibility

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