1. A magazine reported 66% of all dog owners usually greet their dog before greeting their
spouse or children when they return home at the end of the workday. Researchers select 40
dog owners at random and ask them whom they greet first when returning home. The 95%
confidence interval for the proportion of owners who greet their dog first is 0.475 to 0.775.
a) Interpret the confidence interval,
b) Calculate the point estimate and margin of error used to create this confidence interval,
c) Based on the confidence interval, is it plausible that the true proportion of all owners whi
greet their dog first is 66%? Explain.

the correct answer is 5 6 and 7

(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