37 is prime so it is reduced to its lowest form.
33/44 simplifies to 3/4
Step-by-step explanation:
If x = the amount of 12% and y = the amount of 20%, then x + y = 80
Since we need 80 grams of 15%, 80(.15) = 12.
We are given that .12x + .20y = 12.
We can solve the first equation for x or y. Let's do x.
x = 80 - y
.12(80 - y) + .20y = 12
9.6 - .12y + .20y = 12
.08y = 2.4
y = 30
x = 80 - 30 = 50
Answer:
b. $28
Step-by-step explanation:
We have these following probabilities:
0.4 = 40% probability of $40
0.2 = 20% probability of $30
0.2 = 20% probability of $20
0.2 = 20% probability of $10
The expected value is:
We multiply each value by its probability. So

So the correct answer is:
b. $28