The word CAMBRIDGE includes the three vowels A, E and I and six different consonants. i) Find the number of different arrangements using all nine letters. ii) How many of these arrangements start and end with a consonant, and do not have the three vowels together.

Which of the following is a function? a.) {(-2, -4/5), (-1,-,,-1)} b.) {(-2,,1/,3/,1)} c.) {(-22)} d.) {(-21)}

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

Assume that y varies inversely with x. if y=1.6 when x=0.5 find x when y=3.2