Samantha is playing a game with the spinner shown below. If she spins te spinner 24 times, how many times is the spinner likely to land on 1? A. 8 times B. 16 times C. 12 times D. 4 times​

A ) 8 times

Explanation:

There are two 1's shown on the spinner out of 6 numbers. The probablility of rolling a 1 is 2/6 or 1/3.

If you spin the spinner 24 times, you need to multiply the probablility by 24 or 1/3 x 24, which is 8.

(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