A manager at a casual dining restaurant noted that 18​% of customers ordered soda with their meal. In an effort to increase soda​ sales, the restaurant begins offering free refills with every soda order for a​ two-week trial period. During this trial​ period, 21​% of customers ordered soda with their meal. To test if the promotion was successful in increasing soda​ orders, he manager wrote the following​ hypotheses: H0​: p=0.18 and Ha​: p=0.21​, where p represents the proportion of customers who ordered soda with their meal during promotion. Are these hypotheses written​ correctly? Correct any mistakes as needed.

12

step-by-step explanation:

12 + 5 = 17

12x2=24

24-7=17

(a) common ratio in the given sequence is, 3

(b) push ups will do kendall do on the 20th week

step-by-step explanation:

geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio(r)

(a)

given the sequence: 6 , 18 , 54 , 162 ,

this sequence is geometric sequence where each term is 3 times the previous term.

therefore,

common ratio(r) = 3.

(b)

a formula for nth term of geometric sequence is given by;

,   where r is the common ratio between the successive terms and is the first term,

to find how many push ups will kendall do on the 20th week.

here. n = 20th term.

in the given sequence first term

then;

simplify:

therefore, push ups will do kendall do on the 20th week