Pablo, mateus, and ling are competing in a burrito-eating contest. their probabilities of winning the contest are as follows: \text{p(pablo wins}) = 0.75p(pablo wins)=0.75p, left parenthesis, p, a, b, l, o, space, w, i, n, s, right parenthesis, equals, 0, point, 75 \text{p(mateus wins}) = 5\%p(mateus wins)=5%p, left parenthesis, m, a, t, e, u, s, space, w, i, n, s, right parenthesis, equals, 5, percent \text{p(ling wins}) = \dfrac15p(ling wins)= 5 1 p, left parenthesis, l, i, n, g, space, w, i, n, s, right parenthesis, equals, start fraction, 1, divided by, 5, end fraction put the following events in order from least to most likely.

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 !

delaney would like to make a 5lb nut mixture that is 60% peanuts and 40% almonds.

she has several pounds of peanuts and several pounds of a mixture that is 20% peanuts and 80% almonds.

let 'p' represent the number of pounds of peanuts needed to make the new mixture, and  

let 'm' represent the number of pounds of the 80% almond-20% peanut mixture.

:

p + m = 5

therefore

m = (5-p)

write an equation based on the percent of peanuts

1p + .2m = .6(5)

replace m with (5-p)

p + .2(5-p) = .6(5)

p + 1 - .2p = 3

p - .2p = 3 - 1

.8p = 2

p = 2/.8

p = 2.5 lbs of peanuts required

then

5 - 2.5 = 2.5 lbs of the peanut/almond mixture required

:

a) what is the system that models this situation?

p + m = 5

1p + .2m = .6(5)

what are your