5. The cost for a large cheese pizza at Pizza Palace is $10 plus $1.25 for each additional topping. The cost for a large pizza at Luigi's Pizzeria is $8 plus $1.75 for each
additional topping. For what number of toppings is Luigi's Pizzeria less expensive than Pizza
Palace?
answer will be in equation form

An automobile assembly line operation has a scheduled mean completion time, μ, of 12 minutes. the standard deviation of completion times is 1.6 minutes. it is claimed that, under new management, the mean completion time has decreased. to test this claim, a random sample of 33 completion times under new management was taken. the sample had a mean of 11.2 minutes. assume that the population is normally distributed. can we support, at the 0.05 level of significance, the claim that the mean completion time has decreased under new management? assume that the standard deviation of completion times has not changed.