Answer:
15 lb
Step-by-step explanation:
let the current weight of the puppy be X, the initial weight of the puppy is 4lb or
, (6 lb less 2/3 X) .
#We equate the current weight to the initial weight to determine X:

Hence, the current weight of the puppy is 15 lb
Answer:
The expected value of lateness
hours.
Step-by-step explanation:
The probability distribution of lateness is as follows:
Lateness P (Lateness)
On Time 4/5
1 Hour Late 1/10
2 Hours Late 1/20
3 Hours Late 1/20
The formula of expected value of a random variable is:

Compute the expected value of lateness as follows:


Thus, the expected value of lateness
hours.
Let x = number of batches.
So for every batch, you need 2 cups of flour, and you have 20 cups of flour. You cannot make a batch if you don't have the sufficient amount. So using our information, our inequality is
. However, this can be further simplified.
For this inequality, divide both sides by 2, and <u>your inequality is
.</u> <u>In context, you can make up to 10 batches of cookies.</u>
plug a=2 and b=4 in the expression
5(2)+7(4)
simplify
10+28
solve
=38