Answer:
The value is 
The probability has increased
Step-by-step explanation:
From the question we are told that
The percentage that are from outside the country is 
The percentage that logs on everyday is 
The percentage that logs on everyday that are from the inside the country is 
Generally using Bayes' Rule the probability that a person is from the country given that he logs on the website every day is mathematically represented as

Where
is the percentage that are from inside that country which is mathematically represented as



And
is percentage that logs on everyday that are from the outside the country which is evaluated as




Given that the percentage that are from inside that country is 
and that the probability that a person is from the country given that he logs on the website every day is 
We see that the additional information increased the probability
Answer:

5 StartRoot 10 EndRoot
Step-by-step explanation:
we know that
The legs of a 45°-45°-90° triangle are congruent
Let
x ----> the length of one leg of the triangle
Applying the Pythagorean Theorem

where
c is the hypotenuse
a and b are the legs
we have


substitute


Simplify

5 StartRoot 10 EndRoot
M∠X = 54.3°.
Using the Law of Sines, we have:

Cross multiplying gives us
61(sin 34) = 42(sin X)
Divide both sides by 42:
(61(sin 34))/42 = (42(sin X))/42
(61(sin 34))/42 = sin X
Take the inverse sine of both sides:
sin⁻¹((61(sin 34))/42) = sin⁻¹(sin X)
54.3 = X
Given:

To find:
The highest and lowest scores Sam could have made in the tournament.
Solution:
We have,


It can be written as

Add 288 on both sides.

and 
and 
Therefore, the highest and lowest scores Sam could have made in the tournament are 290 and 286 respectively.