Adoorway is 8 feet high and 4 feet wide. a square piece of plywood needs to be moved through the doorway. the plywood is 10 feet long and 10 feet wide. the door is a rectangle with a height of 8 feet, and a width of 4 feet. a dotted line shows the diagonal.

will the piece of plywood fit through the door if it is tilted diagonally?

a. no, because the length of the diagonal is close to 9 feet.
b. no, because the height of the door is less than 10 feet.
c. yes, because the length of the diagonal is close to 11 feet.
d. yes, because the sum of the height and width of the door is greater than 10 feet.

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?

The number of potato chips in a bag is normally distributed with a mean of 71 and a standard deviation of 2. approximately what percent of bags contain between 69 and 73 potato chips? approximately 68% approximately 71% approximately 95% approximately 99.7%

Quick! a survey of 57 customers was taken at a bookstore regarding the types of books purchased. the survey found that 33 customers purchased mysteries, 25 purchased science fiction, 18 purchased romance novels, 12 purchased mysteries and science fiction, 9 purchased mysteries and romance novels, 6 purchased science fiction and romance novels, and 2 purchased all three types of books. a) how many of the customers surveyed purchased only mysteries? b) how many purchased mysteries and science fiction, but not romance novels? c) how many purchased mysteries or science fiction? d) how many purchased mysteries or science fiction, but not romance novels? e) how many purchased exactly two types of books?