Consider the sequence 4;7;14;25;40. (1) find the next two terms of the sequence if the pattern continues in the same manner.

(2) calculate a formula for the nth term of the sequence.

(3) Hence, determine which term of the sequence is equal to 214.​

Your food costs are $5,500. your total food sales are $11,000. what percent of your food sales do the food costs represent?

Consider an example of a deck of 52 cards: example set of 52 playing cards: 13 of each suit clubs, diamonds, hearts, and spades ace 2 3 4 5 6 7 8 9 10 jack queen king clubs diamonds hearts spades what is the probability of drawing three queens from a standard deck of cards, given that the first card drawn was a queen? assume that the cards are not replaced.

According to a study conducted in 2015, 18% of shoppers said that they prefer to buy generic instead of name-brand products. suppose that in a recent sample of 1500 shoppers, 315 stated that they prefer to buy generic instead of name-brand products. at a 5% significance level, can you conclude that the proportion of all shoppers who currently prefer to buy generic instead of name-brand products is higher than .18? use both the p-value and the critical-value approaches.