Answer:
51.2 oz
Step-by-step explanation:
Stoichiometry
3.2 lb x 16 oz
÷ 1 lb =51.2 oz
We're told that



where the last fact is due to the law of total probability:



so that
and
are complementary.
By definition of conditional probability, we have



We make use of the addition rule and complementary probabilities to rewrite this as


![\implies P(B)-[1-P(A\cup B)^C]=[1-P(B)]-P(A\cup B^C)](https://tex.z-dn.net/?f=%5Cimplies%20P%28B%29-%5B1-P%28A%5Ccup%20B%29%5EC%5D%3D%5B1-P%28B%29%5D-P%28A%5Ccup%20B%5EC%29)
![\implies2P(B)=2-[P(A\cup B)^C+P(A\cup B^C)]](https://tex.z-dn.net/?f=%5Cimplies2P%28B%29%3D2-%5BP%28A%5Ccup%20B%29%5EC%2BP%28A%5Ccup%20B%5EC%29%5D)
![\implies2P(B)=[1-P(A\cup B)^C]+[1-P(A\cup B^C)]](https://tex.z-dn.net/?f=%5Cimplies2P%28B%29%3D%5B1-P%28A%5Ccup%20B%29%5EC%5D%2B%5B1-P%28A%5Ccup%20B%5EC%29%5D)


By the law of total probability,


and substituting this into
gives
![2P(B)=P(A\cup B)+[P(B)-P(A\cap B)]](https://tex.z-dn.net/?f=2P%28B%29%3DP%28A%5Ccup%20B%29%2B%5BP%28B%29-P%28A%5Ccap%20B%29%5D)


Answer: A. y = 16 x
B. 8 days
Step-by-step explanation:
A) Here, 16 Fluid ounces of milk is used for breakfast every morning.
In one day the consumption of milk = 16 fluid ounces
In x days the consumption of milk = 16 x fluid ounces
Thus, if y be the total milk in ounces that is used in x days,
The required function,
y = 16 x
B) In 1 day, consumption of milk = 16 ounces
⇒ 
⇒ 
⇒ 
Since, 128 ounces = 1 gallon
⇒ 
In 8 days, 1 gallon of milk will consumed.
The sequence is geometric, so

for some constant r. From this rule, it follows that

and we can determine the first term to be

Now, by substitution we have

and so on down to (D)

(notice how the exponent on r and the subscript on a add up to n)
Answer:
3p - 15
Step-by-step explanation:
5p - 2p = 3p
-5 - 10 = -15
3p + - 15 = 3p - 15