You have infinitely many piles of peanuts. in the first pileyou have one peanut; in the second pile you have two; inthe third you have three; and so on. how many nuts doyou have? does the set of all these nuts have the samecardinality as the set of natural numbers? if not, explainwhy. if so, provide a one-to-one correspondence.

Use sigma notation to represent the following series for 9 terms.

The ivring berlin learning center would like a possible net profit of $650,000 on its new resource manual it sells to schools. the fixed costs for producing the manual are $780,000 and the variable cost per package is $19.85. if the estimated unit sales are 1,250,000 units, what selling price unit should the ivring berlin learning center try?

Determine the required value of the missing probability to make the distribution a discrete probability distribution. x p(x) 3 0.23 4 ? 5 0.51 6 0.08 p(4) = nothing  (type an integer or a decimal.)