Debra has to decide on paint colors for her house. there is a 90% chance she will chose gray for the living room. there is a 70% chance she will chose blue for her bedroom and there is a 75% chance she will choose yellow for the kitchen. given that there is a 62% chance she has both gray and yellow in her house and a 73% chance she has both blue and yellow in her house what is the probability she chooses blue for the bedroom given her kitchen is yellow?

a) 0.05
b) 0.53
c) 0.83
d) 0.97

D) 0.97

Step-by-step explanation:

P(blue | yellow) = P(blue and yellow) / P(yellow)

P(blue | yellow) = 0.73 / 0.75

P(blue | yellow) = 0.97

D

the answer is here: : )

:

(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