In order to determine if treatment X is successful in improving eyesight, a research study was conducted.
From a large population of people with poor
eyesight, 300 participants were selected at random.
Half of the participants were randomly assigned to
receive treatment X, and the other half did not
receive treatment X. The resulting data showed that
participants who received treatment X had
significantly improved eyesight as compared to those
who did not receive treatment X. Based on the
design and results of the study, which of the
following is an appropriate conclusion?

(a) the volume of the cone is 20/3 in3

hence, option a is correct.

215.92 dollars is the answer

(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