There are 18 marbles in a bag, 4 are blue and 14 are yellow. Suppose you take a marble from the bag without looking. Then you take a second marble from the bag without looking. Find the probability that both marbles are blue. Express your answer as a fraction in simplest form.

Step-by-step explanation:

We are given that

Total number of marbles=18

Blue marbles=4

Yellow marbles=14

We have to find the probability that the both marbles are blue.

Probability ,

The probability of getting first blue marble =

It is without replacement.

Now remaining marbles=18-1=17

Blue marbles=4-1=3

The probability of getting second blue marble=

The probability that both  marbles are blue=

c. side angle side. u shares the same sides

(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