15. There is a 25% chance of rain tomorrow. The probability that the price of gold rises tomorrow is 37%. The probability that it rains AND the price of gold rises tomorrow is 9.25%. Are the two events independent?

Step-by-step explanation:

yes, the 2 events are entirely independent

neither one influences the other.

yes

Step-by-step explanation:

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like:

zero

step-by-step explanation:

f(2)= x-2

plug in the 2 in the "x"

f(2)=2-2

f(2)=0