in a typical wimbledon,42,000 balls are used and 650 matches are played.about how many balls are used per match
2 answers:
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Area is length x width so if the dimensions are both 1,
the area is
the area is
Answer:
A) Quantity x minus 5 over quantity x plus 1, where x≠-1 and x≠-9
Step-by-step explanation:
Simplifying the numerator first:
x² + 4x - 45 using the quadratic formula you get;
(x - 5)(x + 9)
Then simplifying the denominator x² + 10x + 9 using a quadratic formula you get;
(x + 1)(x + 9)
Dividing the numerator and denominator now gives;
Cancelling (x + 9) throughout leaves you with;
The only restrictions here is if x = 1 and 9 which will give an undefined answer.
I'll leave the computation via R to you. The are distributed uniformly on the intervals
, so that
each with mean/expectation
and variance
We have
so that
Now,
and
We have
because and
are independent when
, and so
giving a variance of
and so the standard deviation is
# # #
A faster way, assuming you know the variance of a linear combination of independent random variables, is to compute
and since the are independent, each covariance is 0. Then
and take the square root to get the standard deviation.