For a one hour television broadcast the main showtime not including commercials is 42.6 minutes with a standard deviation of 5.4 minutes you may assume that the showtimes are normally distributed. round your answer to 4 decimals for parts A and B use one decimal for part C. A. If one broadcast is selected at random find the probability that the broadcast contains at least 29.9 minutes of Showtime.

B. In a sample of 34 for one hour broadcast find the probability that the mean of their total showtimes is less than 45 minutes.

C. Find the 5th percentile P50, the Showtime that separates the lower 50% of showtimes from the rest.

M∠aoc is a straight angle angle boc = 6x + 29 m∠boc=6x+29 angle aob = 3x + 124 m∠aob=3x+124 ∘ find angle boc

Asmall (but heavy) particle placed in a glass of water will follow a zigzag motion because the particle will bounce off of the water molecules it meets. this is called brownian motion. a physicist simulates this on a computer, by varying the distance a particle can travel (called the mean free length), on average, before it collides with a water molecule and assigning the change in motion to be one of 8 directions, each with a similar probability. by running the simulated particle (with the same mean free length) many times she determines that it should take 15 seconds, on average, for the particle to fall to the bottom, with a standard deviation of 1.5 seconds. next she lets a real particle fall through a glass of water and finds that it took 18 seconds. what does she conclude, and why?

The area of a rectangle is 15+5y square feet. which of the following expressions could be the length of the sides of the rectangle, in feet a. 5 and 3y b. 5 and 3+y c. 5 and 5+y d. 3 and 5+3y