A game consists of randomly choosing a bag labelled 1 2 or 3 out of a choice of 100 and then again randomly picking a ball(red or black) from it. Each bag has the same total number of balls(10). Work out the probability that the player will select a red ball.

.44

Step-by-step explanation:

Follow the path for each red

Add the  probabilities for each one

Bag 1 = .35*.6

Bag 2 = .45*.2

Bag 3 = .2*.7

P(red) = .35*.6 + .45* .2 + .2 *.7

          = .44

(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