The drive time, rounded to the nearest minute, front Susan's home to her school is given in the table below, along with the corresponding probabilities. Use the rare event rule to determine if the given event is unusual for the random variable x "number of minutes for Susan to drive to school. " Drive Time Probabilty
5 0.02
6 0.04
7 0.11
8 0.22
9 0.3
10 0.18
11 0.07
12 0.03
13 0.02
14 0.01

Required:
Use the rare event rule to determine if it is unusual for it to take 12 minutes for Susan to drive to school?

ad = ae + ed = y + 7

similar triangles therefor

ac/ab = ad/ae

6/4 = (y + 7) / y

cross multiply

6y = 4(y + 7)

6y = 4y + 28

2y = 28

y = 14

step-by-step explanation:

the answer is; biodiversity resulting from few ancestors

adaptive radiation occurs when a population is subjected to a large natural environment with spatial ecological variations. the parts of the population in the different ecologies begin to adapt to their local environments. due to non-random mating across the large populations, this causes the different populations from the large population to speciate within their local environments. they, therefore, diverge to different species sharing a common ancestor.  

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11