The perimeter of a rectangle is represented by 4x + 24. In response to the question, “What is a possible representation of the area of this rectangle?” Mark says, “x^2 + 36,”
and Sarah says, “No, x^2 + 12x + 36.” What assumptions are both Mark and Sarah making about the rectangle? Comment on their answers. Other students are also discussing
the problem. Alex says the area is 24x. Anna says that she thinks the area is x2 + 12x +
27. Where do you think they are getting these answers? Can they all be correct?

Arectangle has a width of 9 units and length of 40 units. what is the length of a diognal. a. 31 unitsb. 39 unitsc. 41 units d. 49 units

The fraction of defective integrated circuits produced in a photolithography process is being studied. a random sample of 300 circuits is tested, revealing 17 defectives. (a) calculate a 95% two-sided confidence interval on the fraction of defective circuits produced by this particular tool. round the answers to 4 decimal places. less-than-or-equal-to p less-than-or-equal-to (b) calculate a 95% upper confidence bound on the fraction of defective circuits. round the answer to 4 decimal places. p less-than-or-equal-to

In a small section of a stadium there are 40 spectators watching a game between the cook islands and fiji. they all support at least one of the two teams. 25 spectators support the cook islands and 16 of these support both teams. how many support only fiji?