Answer: 7
Step-by-step explanation:
-if y is the width and the length of area k (see diagram), the difference between n and y is of 2 square sides, one at each side of y.
-therefore, assuming that n is a whole number and that there aren’t half squares, y must be a whole number too because, as previously said, n-y = 2 so y= n -2
-the only perfect square amongst the values for k you listed is 25, so taking n and y as whole numbers the only possible value for k is 25
-therefore y is 5 and n is 7 because n-y = 2 so y + 2 = n
Answer:
64*(1/4)^x
Step-by-step explanation:
64 is the starting number because it is given, and x represents how many rounds there are. 1/4 represents how much of the teams remain after each round.

,

,

We find the probability of intersection using the inclusion/exclusion principle:

By definition of conditional probability,

For

and

to be independent, we must have

in which case we have

, which is true, so

and

are indeed independent.
Or, to establish independence another way, in terms of conditional probability, we must have

which is also true.
Answer:45
Step-by-step explanation:
Answer:
The allowable lengths of pipe is from 21.78 inch to 22.22 inch.
Step-by-step explanation:
The length of the each pipe in the shipment = 22 inch
The variation in the length of pipes = 1%
⇒The allowable length of pipe in the inspection = 22 inch ± 1%
Now, 1% of 22 = 
So, 22 inch + 1% = 22 inch + 0.22 = 22.22 inch
and 22 inch - 1% = 22 inch - 0.22 = 21.78 inch
⇒ 22 inch ± 1% = 22.22 inch and 21.78 inch
Hence, the allowable lengths of pipe is from 21.78 inch to 22.22 inch.