Audrey meausers all 7 penciles in her pecile case and wirtes down the first 6 lengths.
11.8cm, 12.4cm , 12.5cm, 13.2cm , 13.6cm, 13.1 cm
audrey calcuates the mean length of all 7 penciles to be 13cm .
find the length of the missing pencile?

click on picture to help you

14.4cm

Step-by-step explanation:

Let the 7th length be y

Mean of the length = sum of all the length/number of let

Mean of the length = 13cm

13 = (11.8 + 12.4 + 12.5 + 13.2 + 13.6 + 13.1 + y) /7

13 = (76.6 + y) /7

Cross multiply to express in linear form

13 x 7 = 76.6 + y

91 = 76.6 + y

Collect like terms

91 — 76.6 = y

y = 14.4cm

Therefore, the 7th length is 14.4cm

360 different combinations

the population of other specie of birds will decline or other specie of birds will find some alternate source of food to survive.

explanation:

according to the competitive exclusion principle, which is also known as gause's law, two specie living in the same niche and feeding on the same resource cannot co-exist stably.

as we have well studied the theory of natural selection which states that only those organisms survive which have better tendency to compete for food and adapt to the environmental conditions.

coming towards the question, what wi ll happen when one species outcompetes the other for the small fish , the other specie will not get enough food and will start to die or decline in population. eventually either other specie needs to find another alternative food source for itself or migrate at some other location where there is less competition otherwise it will just not exist anymore at that niche.

hope it !