Ascientist has a hypothesis that as the number of police cars is increased on a roadway, the proportion of cars speeding decreases. he finds that at police car level x1 (one police car per 100 miles), the proportion of cars speeding is p hat equals 0.83. at police car level x2 (one police car per 50 miles), the proportion of cars speeding is p hat equals 0.61. at police car level x3 (one police car per 25 miles), the proportion of cars speeding is p hat equals 0.39. should the hypothesis be rejected or should it fail to be rejected?

relating to or denoting a system of numbers and arithmetic based on the number ten, tenth parts, and powers of ten.

it alot will look like this 4.4

(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