Hilda plans to display in a clear cube the needle Betsy Ross used to sew the first American flag. The needle will fit exactly as the diagonal of the cube. If the side length of the clear cube is StartRoot 3 EndRoot inches, and the diagonal of a face of the cube is StartRoot 6 EndRoot inches, what is the length of the needle?
StartRoot 6 EndRoot inches
3 inches
3 StartRoot 2 EndRoot inches
6 inches

Shiny white dental insurance costs $258 per year. approximately one-third of insured people need a filling, which averages $110 each. 80% of insured people get a preventive check-up each year, and the average cost of this visit is $95. if you consider shiny white’s income and expenses, what is the expected value of each insured customer?

Question and answers are in the attached picture. you so much in advance.

Last year, a state university received 3,560 applications from boys. of those applications, 35 percent were from boys who lived in other states. part a)how many applications did the university receive from boys who lived in other states? part b)applications to the university from boys represented 40percent of all applications. how many applications did the university receive in all? i don't how to do part b so me and plz tell how you got your answer