Answer:
(D) Two players of equal skill level each played one game a day for 50 days and their skill level did not change from day to day.
Step-by-step explanation:
(A) If the player's skill improves over time, the likelihood of him winning the game also increases and, therefore, this scenario cannot be modeled by a random binomial probability.
(B) Since the players have different skill levels, the likelihood of winning each game would change between players, thus X is not a binomial random variable.
(C) Same explanation as alternative B
(D) Since both players have the same constant skill level throughout all games, the likelihood of winning each of the 100 games is the same; therefore, X is a binomial random variable
(E) Same explanation as alternatives B and C
29. because If you add 15 and 14 you will get that answer
Answer:
dim L = dim U = 
Step-by-step explanation:
We can do it only for the lower-triangular matrices, the case of the upper-triangular matrices is similar. We might caracterice nxn the lower-triangular matrices, as the nxn matrices 
such that the entry 
if i<j.
Now let and 
be two lower triangular matrices, now if
for some 
then the entry 
of C is equal to
Now, if i<j, it must hold that 
. Therefore, if this is the case we must have that 
and so we get that C is also a lower triangular matrix. This showa that L is closed under sum and scalar multiplcation, hence it is a linear subspace.
To find the dimension, note that all the entries of a lower-triangular matrix over the diagonal must be equal to zero. However, each entry of the matrix under the diagonal and in the diagonal might be any element of 
, any entry that can be choosen add up to the dimension of L, we n such elemnts for the first column, (n-1) for the second column, (n-2) for the third column etc.... Therefore,
Answer:
8.5 hrs * 5 day work week = 42.5 hrs. But usually 0.5 hr per day is considered lunch and is usually not payed so theoretically the workweek is only 40 hrs per week (full time)
Step-by-step explanation:
Answer:
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Step-by-step explanation:
