Measurements were taken for the workstation that seals ball bearings; the data is: Mean 118.45 Standard Dev 0.35 Lower Spec 117.90 Upper Spec 119.15 Determine the capability index. (Keep four decimal places in your answer)

Find the equation of the line with slope =8 and passing through (6,53) write your equation in the form y=mx+b

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.

3. a sum of $2700 is to be given in the form of 63 prizes. if the prize is of either $100 or $25, find the number of prizes of each type.