Maria wanted to know if there was a connection between her coffee consumption and how well she slept that night. For weeks, Maria recorded how many cups of coffee she drank in the morning and how many hours she slept that night. What is the probability that a randomly selected day is one when she slept exactly 7 hours given that the day is one when she drank exactly 1 cup of coffee? (serious answers only please)

A. 3/15
B. 3/10
C. 7/15
D. 7/10

A

Step-by-step explanation:

I did this

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation:

the answer is a

step-by-step explanation: