Write the claim below as a mathematical statement. state the null and alternative hypotheses and identify which represents the claim."an amusement park claims that the mean daily attendance at the park is at least 20,000 people."

Answer with explanation:

Given Claim : An amusement park claims that the mean daily attendance at the park is at least 20,000 people.

Let represents the mean daily attendance at the park.

Then , the set of hypothesis will be :-

Null hypothesis :  ( It always takes equality sign )

Alternative hypothesis :  (Just opposite of null hypothesis)

Here null hypothesis represents the claim.

the answer is b.

step-by-step explanation:

(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