A water line runs east to west. A town wants to connect two new housing development to the line by running lines from a single point on the existing to the tow developments. One development is 4 miles south of the existing line; the other development is 5 miles south of the existing line and 5 miles east of the first development. Find the place on the existing line to make the connection to minimize the total length of the new line.

Martha has a deck of cards. she has lost some of the cards, and now the deck only contains nine spades, eleven diamonds, eight clubs, and twelve hearts. martha predicts that whenever she draws a card from the deck without looking, she will draw a club one-fifth of the time. which activity would best allow martha to test her prediction? a. randomly draw a card from the box and see if it is a club. b. randomly draw a card. then, continue to draw another card until all eight clubs are drawn. c. randomly draw and replace a card 120 times. then, observe how close to 30 times a club is drawn. d. randomly draw and replace a card 100 times. then, observe how close to 20 times a club is drawn.