In the figure, CDEF is a rectangle and ABE and BCF are triangles. AB = 24 cm, AE = 18 cm, DC = 20 cm, EB = 30 cm and
ZBAE = ZBFC = 90°. Find the area of the figure.
A
24 cm
18 cm
F.
B
C С
D
th
20 cm
30 cm

Afunction is given: f(x)=3x+12 a. determine the inverse of this function and name it g(x) b. use composite functions to show that these functions are inverses. c. f(g(– explain: what is the domain?

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

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