The lifetime of a certain type of automobile tire (in thousands of miles) is normally distributed with mean =41 and standard deviation =4 . Use the TI-84 Plus calculator to answer the following.

(a) What is the probability that a randomly chosen tire has a lifetime greater than 50 thousand miles?

(b) What proportion of tires have lifetimes between 36 and 46 thousand miles?

(c) What proportion of tires have lifetimes less than 44 thousand miles?

Round the answers to at least four decimal places.

Two florida panthers were weighed. one weighs 6x+21 pounds and the two together weigh 14x+11 pounds how much does he other panther weigh alone

Macy spent $36 on jeans. this was $12 less than twice what she spent on a shirt. which equation to solve this, 12x=36 2x=36-12 2x-12=36 12-2x=36

Brittany has designed four different birdcages, each with the same volume: a square pyramid, a cylinder, a cone, and a sphere. the zoo wants to use one of brittany’s designs but plans to change the volume of the cage. find the design change that would result in the birdcage with the greatest volume. a.) increase the area of the base of the square pyramid by a factor of ten. b.) increase the height of the cylinder by a factor of ten. c.) increase the radius of the cone by a factor of ten. d.) increase the radius of a sphere by a factor of ten.