Anew washing machine used 3 2/4 gallons of water per full load to clean cloths. if john washed 2 2/3 loads of clothes, how many gallons of water would be used?

We know that
3 2/4  > is (3*4+2)/4> 14/4> 7/2
2 2/3 > is (2*3+2)/3> 8/3

if a new washing machine used 7/2 gallons of water > one full load cloths
 X gallons of water> 8/3 of load cloths
X=(8/3)*(7/2)> X=56/6>28/3 gallons of water
28/3> 9 1/3 gallons of water

the answer is
 9 1/3 gallons of water

Probability that Box A was chosen given that black marble is chosen is 0.5.

Step-by-step explanation:

Since we have given that

Number of boxes = 2

In Box A,

Number of black marbles = 1

Number of white marbles = 3

In Box B,

Number of black marbles = 2

Number of white marbles = 4

Since black marble is selected.

So, using Bayes theorem , we get that

Hence, probability that Box A was chosen given that black marble is chosen is 0.5.