You play a game. you start with a score of zero. if your score becomes negative, you lose. if your score goes above 1, you win. if your score is zero, there’s a 10 % chance your score will go down (and you will lose), a 10 % chance your score will stay the same, and an 80 % your score will go up to 1. if your score is 1, there’s a 20 % chance your score will go down to zero, a 10 % chance your score will stay at 1, and a 70 % your score will go up (and you will win). if you represent this as a 4-state markov chain, what is the stochastic matrix p?
c if i am not mistaken tell me im right
the bisector splits the triangle up but not evenly, there is a 1 difference for each value.
amount of money that caitlin in her account = $ 402
in each week , she withdrew $ 15.
let number of weeks she had paid money for swimming lesson = $ 237
writing the above statement in equation form
⇒ 402 - 15 n = 237
⇒ 402 - 237 = 15 n
⇒ 15 n = 165
dividing both side by 15, we get
→number of weeks that caitlin had learnt swimming = 11 weeks
an exponent is a way to represent repeated multiplication. that is
x² = x·x . . . . the exponent of 2 means x is a factor 2 times in the product
so, your expression means
(14√6)² = (14·√6)·(14·√6)
of course, the commutative and associative properties of multiplication allow us to regroup these factors to some convenient order, such as
(14·14)·(√6)(√6) = 196·(√6)(√6)
we know that multiplying a square root times itself gives the original number. (this is the whole point of a square root.) that is
(√6)(√6) = 6
so, the product above is
(14√6)² = 14·14·(√6)(√6) = 196·6 = 1,176
since there are no variables involved here, your calculator can give you this answer.