Frank's in-laws have told him they might be visiting for Thanksgiving and Christmas. To prepare, Frank bought his groceries in bulk this month. If Frank's in-laws don't come for both Thanksgiving and Christmas, some of his groceries will spoil. For each holiday, Frank estimates that there is a 70\%70%70, percent chance that his in-laws will visit independent of the other holiday. The table below shows the value of spoiled groceries based on how many holidays Frank's in-laws will visit him.

The number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally distributed with a mean of 1252 chips and standard deviation 129 chips. (a) what is the probability that a randomly selected bag contains between 1100 and 1500 chocolate chips, inclusive? (b) what is the probability that a randomly selected bag contains fewer than 1125 chocolate chips? (c) what proportion of bags contains more than 1225 chocolate chips? (d) what is the percentile rank of a bag that contains 1425 chocolate chips?

If f(x)=-x^2+6x-1 and g(x)=3x^2-4x-1,find(f+g)(x)

An arc subtends a central angle measuring 7pi/4 radians what fraction of the circumference is this arc?