Use the drop-down menus to answer the questions. What is the probability that a randomly chosen tenth-grader is male?

What is the probability that a randomly chosen tenth-grader is male?  

✔ 80/154

What is the probability that a randomly chosen tenth-grader is male given that the tenth-grader prefers geometry?  

✔ 47/87

Are the events “male” and “geometry” independent?  

✔ no, P(male) does not equal P(male | geometry)

Step-by-step explanation: These are the answers for edge 2020

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: