Suppose a and b are events with probabilities p(a) = ⅔ and p(b) = ½.calculate the probabilities for each of the following. for each part, given example event for a and b that shows each scenario is possible using the rolling of dice.
a. what is the largest possible value for p(a ո b)?
b. what is the smallest possible value for p(a ո b)?
c. what is the largest possible value for p(a u b)?
d. what is the smallest possible value for p(a u b)?

What is the volume of the cone to the nearest cubic millimeter? (use π  = 3.14) a) 46 mm3 b) 128 mm3 c) 183 mm3 d) 275 mm3 diameter = 5 mm height = 7 mm how do you do this problem step by step?

Given: δabc, m∠1=m∠2, d∈ ac bd = dc m∠bdc = 100º find: m∠a m∠b, m∠c

Astudent found the solution below for the given inequality. |x-9|< -4 x-9> 4 and x-9< -4 x> 13 and x< 5 which of the following explains whether the student is correct? -the student is completely correct because the student correctly wrote and solved the compound inequality. -the student is partially correct because only one part of the compound inequality is written correctly. -the student is partially correct because the student should have written the statements using “or” instead of “and.” -the student is completely incorrect because there is no solution to this inequality.