8 oz cost 1.92.......1.92/8 = 0.24 per oz
9.60 / 0.24 = 40 oz <==== he bought 40 oz
value of above expression is 1
solution in attachment !
Answer:
39.10%
Step-by-step explanation:
The given timeout distributions are:
Exp (1/10), Exp (1/12)
The equation to use is the following:
F (x) = 1 - e ^ (- a / b); x> 0
So the probability is:
P (food has not arrived after waiting 25 minutes | R) = e ^ (- 10/10) = 0.3679
P (food has not arrived after waiting 25 minutes | S) = e ^ (- 12/15) = 0.2865
So:
P (food has not arrived after waiting 25 minutes) = (food has not arrived after waiting 25 minutes | R) * P (R) + (food has not arrived after waiting 25 minutes | S) * P (S)
Replacing:
P (food has not arrived after waiting 25 minutes) = 0.3679 * 1/3 + 0.2865 * 2/3 = 0.3136
However:
P (R | food has not arrived after waiting 25 minutes) = (food has not arrived after waiting 25 minutes | R) * P (R) / P (food has not arrived after waiting 25 minutes)
P (R | food has not arrived after waiting 25 minutes) = 0.3679 * 1/3 / 0.3136 = 0.3910
It means that the probability is 39.10%
Answer:
The better buy is 16 cards for $12.20 because
Step-by-step explanation:
You need to find the individual price for each card in the packet. So first lets do 16 cards for $12.20, you divide $12.20 by 16 to get the price of one card. 12.2/16=0.7625, or about $0.76. Next we do $10.90 divided by 14, 10.9/14=0.7785, or about $0.78, which means 16 cards for $12.20 is the better buy!
The board A is 8 inches. If you use 3/4 of an 8-foot-board. Then you're left with 2 feet.
3 6
-- = --
4 8
8 - 6 =2
(8= the length of the board)
1/3 of 2 feet = 8 inches
1 24 24
-- x -- = --- = 8 inches
3 1 3
(24= the equal amount of inches in a 2-foot-board)