Professor stander deviation can take one of two routes on his way home from work. on the first route, there are four railroad crossings. the probability that he will be stopped by a train at any particular one of the crossings is .1, and trains operate independently at the four crossings. the other route is longer but there are only two crossings, independent of each other, with the same stoppage probability for each as on the first route. on a particular day, professor deviation has a meeting scheduled at home for a certain time. whichever route he takes, he calculates that he will be late if he is stopped by trains at at least half the crossings encountered. (a) which route should he take to minimize the probability of being late to the meeting

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x

the answer is: d) o, f, and kr.

atomic radius of bromine (br) is 114 pm.

atomic radius of oxygen (o) is 73 pm.

atomic radius of fluorine (f) is 72 pm.

atomic radius of krypron (kr) is 112 pm.

the atomic radius of a chemical element is a measure of the size of its atom.

the atomic radius varies with increasing atomic number, but usually increases because of increasing of number of electrons.

the atomic radius decreases across the periods because an increasing number of protons, because greater attraction between the protons and electrons.

step-by-step explanation:

for exempl this   system of equations   y = x - 3

                                                                y = 2x - 5

look   the line : y = x -3     ( red)

                            the line : y = 2x -5 ( bleus)