Apositive integer from one to six is to be chosen by casting a die. thus the elements c of the sample space c are 1, 2, 3, 4, 5, 6. suppose c1 = {1, 2, 3, 4} and c2 = {3, 4, 5, 6}. if the probability set function p assigns a probability of 1 6 to each of the elements of c, compute p(c1), p(c2), p(c1 ∩ c2), and p(c1 ∪ c2).

What is the equation of the following graph in vertex form? parabolic function going down from the left through the point zero comma twelve and through the point two comma zero and turning at the point four comma negative four and going up through the point six comma zero and continuing towards infinity courtesy of texas instruments a: y = (x − 4)2 − 4 b: y = (x + 4)2 − 4 c: y = (x + 2)2 + 6 d: y = (x + 2)2 + 12

Adrawer contains 12 identical white socks, 18 identical black socks and 14 identical brown socks. what is the least number of socks you must choose, without looking, to be certain that you have chosen two socks of the same colour?

The swimming pool is open when the high temperature is higher than 20∘c. lainey tried to swim on monday and thursday (which was 33 days later). the pool was open on monday, but it was closed on thursday. the high temperature was 30 ∘c on monday, but decreased at a constant rate in the next 33 days. write an inequality to determine the rate of temperature decrease in degrees celsius per day, d, from monday to thursday.