Answer:
40.8 minutes
Step-by-step explanation:
Element X decays radioactively with a half life of 8 minutes. If there are 480 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 14 grams?
The formula to find how long it would take which is the time elapsed is given as:
t = t½ × In(Nt/No)/-In2
t = ?
t½ = 8 minutes
Nt = Amount after the time of decay = 14 grams
No = Original Amount of substances = 480 grams
t = 8 × In(14/480)/-In2
t = 40.796285388407 minutes
Approximately to the nearest tenth = 40.8 minutes
Therefore, it would take the element X, 40.8 minutes to decay to 14 grams
7 and 20 are relatively prime (no common factor)
Answer:
We need to see the system of equations.
Step-by-step explanation:
Show us the system of equations.
Answer:
the conditional probability that X = 1 , X = 2 and X = 3 is 0.7333 (73.33%) , 0.25 (25%) and 0.0167 (1.67%) respectively
Step-by-step explanation:
a player wins money when i>0 then defining event W= gain money , then
P(W) = p(i>0) = p(1)+p(2)+p(3)
then the conditional probability can be calculated through the theorem of Bayes
P(X=1/W)= P(X=1 ∩ W)/P(W)
where
P(X=1 ∩ W)= probability that the payout is 1 and earns money
P(X=1 / W)= probability that the payout is 1 given money was earned
then
P(X=1/W)= P(X=1 ∩ W)/P(W) = P(X=1) / P(W) = p(1) /[p(1)+p(2)+p(3)] = 11/40 /(11/40+3/32+1/160
) = 0.7333 (73.33%)
similarly
P(X=2/W)=p(2) /[p(1)+p(2)+p(3)] = 3/32 /(11/40+3/32+1/160
) = 0.25 (25%)
P(X=3/W)=p(2) /[p(1)+p(2)+p(3)] = 1/160 /(11/40+3/32+1/160
) = 0.0167 (1.67%)
