Answer:
D. 1/2
Step-by-step explanation:
Coin tosses are independent. Past results don't affect future probabilities. So the probability of getting heads on the fourth toss is still 1/2.
Answer:
a) 
b) 
Step-by-step explanation:
By definition, we have that the change rate of salt in the tank is 
, where 
is the rate of salt entering and 
is the rate of salt going outside.
Then we have, 
, and
So we obtain. 
, then
, and using the integrating factor 
, therefore 
, we get 
, after integrating both sides 
, therefore 
, to find 
we know that the tank initially contains a salt concentration of 10 g/L, that means the initial conditions 
, so 
Finally we can write an expression for the amount of salt in the tank at any time t, it is
b) The tank will overflow due Rin>Rout, at a rate of 
, due we have 500 L to overflow 
, so we can evualuate the expression of a) 
, is the salt concentration when the tank overflows
Answer:
x < 2.5
Step-by-step explanation:
Allen has already run 3 hours and will run x amount more to finish. This is 3+x. He must finish under or less than 5.5 hours. So 3 + x < 5.5. You solve and find x < 2.5.
2 candies will be left over after you but ten in each bag.
