The key thing to remember when you're working a problem like this is that
the cube has no memory ... it doesn't know what happened on the last roll,
so the chance of any particular thing happening on the 2nd roll, or on the
100th roll, is the same as it was on the first roll.
Probability of success = (number of ways to succeed) / (total possibilities)
Number of ways for a 4 to come up . . 1
Total possible results of the roll . . . . . 6
Probability of rolling a 4 . . . . . 1 / 6 .
Probability of rolling two 4s . . . (1/6) x (1/6)
Probability of rolling three 4s . . (1/6) x (1/6) x (1/6) = 1/216 = about <em>0.46%</em> .
Answer:
10 gallons of the 1st brand and 30 gallons of the second brand.
Step-by-step explanation:
The equation I came up with is 0.6x+0.8y=0.75(x+y), with x and y representing the total amount of mixture of each brand. Meaning, 0.6x is the amount of pure antifreeze in the first brand, 0.8y is pure antifreeze in the second brand, and 0.75(x+y) is the amount of pure antifreeze there's supposed to be when you mix the two brands together.
Now, the question also says that the mixture is 40 gallons. The total mixture of the 2 brands is basically x+y = 40, then you can minus x from both sides and get y = 40-x, then you substitute it into the original equation: 0.6x+0.8(40-x)=0.75(x+40-x), x = 10, the amount of mixture from the first brand, which also means that 30 gallons is the amount of mixture from the second brand.
Answer: 9.1
Step-by-step explanation:
Add all of the numbers up and divide by 8
