Answer:
Altogether Gavin and Jim won £95.
Step-by-step explanation:
We are given the following in the question:
Ratio of money won by Gavin and Jim = 5:2
Gavin gets £39 more than Jim.
Let x be the amount of money Won by Jim.
Then, money won by Gavin =

Thus, we can write the equation:

Solving, we get,

Thus, Gavin won £65 and Jim won £26.
Money won altogether =

Thus, altogether Gavin and Jim won £95.
Answer: Marianne made an inference that is true based on the data. More than half of the people surveyed in each sample chose oranges as their favorite fruit. Since most people in each sample chose oranges, it is likley that oranges are the favorite fruit of the entire population.
Step-by-step explanation:
I'm going to assume this reads

and the path
is parameterized by

with
. Under this parameterization,

and

Then in the integral,


(It's unlikely that an exact answer can be found in terms of elementary functions)