Answer:
3/2
Step-by-step explanation:
you basically just simplify the exponents first, and then simplify from there.
The correct answer is 1 mm Hg per year.
Explanation:
Since {v1,...,vp} is linearly dependent, there exist scalars a1,...,ap, with not all of them being 0 such that a1v1+a2v2+...+apvp = 0. Using the linearity of T we have that
a1*T(v1)+a2*T(v1) + ... + ap*T(vp) = T(a1v19+T(a2v2)+...+T(avp) = T(a1v1+a2v2+...+apvp) = T(0) = 0.
Since at least one ai is different from 0, we obtain a non trivial linear combination that eliminates T(v1) , ..., T(vp). That proves that {T(v1) , ..., T(vp)} is a linearly dependent set of W.
He will have a 1/531,441 chance of winning next week.
There are 10 balls in each container; for 6 containers, this gives us 10^6 = 1,000,000. There is 1 correct combination of balls, so his chance the first week is 1/1,000,000.
The second week, 1 ball is removed from each container; this will give us 9^6 = 531,441 chances. There is 1 correct combination, so he will have a 1/531,441 chance of winning.
Answer:
3
Step-by-step explanation:
trust me