Assume the average weight of an American adult male is 180 pounds with a standard deviation of 34 pounds. The distribution of weights follows a normal distribution. What is the probability that a man weighs exactly 185 pounds?

Zero is the probability that a man weighs exactly 185 pounds.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 180 pounds

Standard Deviation, σ =  34 pounds

We are given that the distribution of  34 pounds is a bell shaped distribution that is a normal distribution.

Continuous Distribution:

Since normal distribution is a continuous distribution, the probability of a particular random variable is zero.

Thus, the probability that a man weighs exactly 185 pounds is zero.

b 1: 45 am

step-by-step explanation:

its that because if it was in the pm it would be 1345

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)