Answer:
x = 9, y = 27
Step-by-step explanation:
Since the figures are similar then the ratios of corresponding sides are equal, that is
= 
( cross- multiply )
12(x - 1) = 96 ( divide both sides by 12 )
x - 1 = 8 ( add 1 to both sides )
x = 9
Also
= ( cross- multiply )
12(y + 1) = 336 ( divide both sides by 12 )
y + 1 = 28 ( subtract 1 from both sides )
y = 27
Answer: the value of the diversity index D for the population is 0.42
Step-by-step explanation:
Given that; population of the two species are
p1 = 30% = 0.3 (snapping turtle)
p2 = 70% = 0.7 ( box turtle)
so if two (2) organisms are picked, then they can be different from each other ( i.e Event E) under following two scenarios
E1 → First organism selected from p1 and second organism selected from p2
E2 → First organism selected from p2 and second organism selected from p1
which means we are observing the different orders in which the organisms can be picked.
So the probability of event E = the sum of probabilities of events E1 and E2.
which is;
D = P(E) = P(E1) + P(E2)
= P1×P2 + P2×P1
= 2P1P2
so we substitute
D = 2 × 0.3 × 0.7
D = 0.42
Therefore the value of the diversity index D for the population is 0.42
The answer is y = +8
Explanation:
Since they tell us what x equals (3), let's plug that into the equation
y = (3) + 5
Now, we can just add 3 and 5 together, which we get 8
y = +8
Answer:
a relationship ( model equation)
Step-by-step explanation:
the relationship specifies how the dependent variable relies on the independent variable.This helps in manipulating of the variable to see its effect/outcome.The relationship can be mathematical or logical ; it can also be a set of algorithm (program) which can be worked on using the independent variables as inputs. Usually the independent variables influence the dependent variables.
