First we rewrite the functions:
y = 2x
y = x ^ 10
We note that the second function always has values of y greater than the first function. However, there is a value of x for which the first function is greater.
For x = 1 we have:
y = 2 (1) = 2
y = (1) ^ 10 = 1
We note that:
2> 1
Answer:
Yes, the value of function y = 2x eventually exceed the value of function y = x ^ 10.

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Answer:
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Answer:
Not independent.
Step-by-step explanation:
Given that P(A)=0.25 , P(B)=0.2 , and P(A and B)=0.04
To check whether A and B are independent.
Two events are independent if
P(A/B) = P(A) or P(B/A) = P(B) or P(AB) = P(A) P(B)
if any one of the above three is true also, the two events would be independent.
Let us find out first one
P(A/B ) = P(AB)/P(B) (as per conditional probability formula)
= 0.04/0.2=0.2
But P(A) = 0.25 and not equals P(A/B)
Hence we can conclude that A and B are not independent
because P(A/B) not equals P(A)