An elevator has a placard stating that the maximum capacity is 1312 16—8 passengers. So, 8 adult male passengers can have a mean weight of up to 131278 = 164 pounds. If the elevator is loaded with 8 adult male passengers, find the probability that it is overloaded because they have a mean weight greater than 164 lb. (Assume that weights of males are normally distributed with a mean of 166 lb and a standard deviation of 29 lb.) Does this elevator appear to be safe? The probability the elevator is overloaded is (Round to four decimal places as needed.)​

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?

The boiling point of water at an elevation of 0 feet is 212 degrees fahrenheit (°f). for every 1,000 feet of increase in elevation, the boiling point of water decreases by about 2°f. which of the following represents this relationship if b is the boiling point of water at an elevation of e thousand feet? a) e = 2b - 212 b) b = 2e - 212 c) e = -2b + 212 d) b = -2e + 212

Rewrite the following quadratic functions in intercept or factored form. show your work. f(x) = 3x^2 - 12