The units of the subway map below are in miles. Suppose the routes between stations are straight. Station G, not shown on the map, is 5 miles east and 7 miles south of Station A. What is the approximate distance between Station E and Station G when traveling by subway?

8.60 miles

Step-by-step explanation:

If S=station G, not shown on the map, is 5 miles east and 7 miles south of Station A, the approximate distance between Station E and Station G when traveling by subway will be gotten using the Pythagoras theorem.

EG² = 5²+7²

EG² = 25+49

EG² = 74

EG = √74

EG = 8.60 miles

Hence the approximate distance between Station E and Station G when traveling by subway is 8.60miles

answer: slight chance that it will happen

step-by-step explanation:

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560