Sidney has 4 hats and 2 scarves in a drawer. All the hats are the same size, shape, and material. Both scarves are the same size, shape, and material. The table below shows the colors of Sydney's hats and scarves. Sidney will pick one hat and one scarf from the drawer without looking. What is the probability that Sidney will be a blue hat and a white scarf?

It will be 1/4 (25%) and 1/2 (50%) if you do them separate. If you do the probability together, the answer will be 1/8 (12.5%)

Step-by-step explanation:

If she has 4 hats, there is a 1/4 (25%) probability that she will pick a blue hat. If she has 2 scarfs, there is a 1/2 (50%) probability that she will pick a white scarf. If you want to find the probability for the whole thing, then you will multiply 1/4 (25%) by 1/2 (50%).

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:

answer: b.

step-by-step explanation:

the y coordinate for point b is 0, and answer b is the only one with that y coordinate.