Two painters can paint a room in 4 hours if they work together. The less experienced painter takes 3 hours more than the more ex
1 answer:
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Answer:
a)
b) 0.27778
Step-by-step explanation:
a)
There are 26 lowercase letters and 10 digits.
The character that must be a digit can be generated in 10 different ways and the others, in 26+10=36 different ways.
Since the password is 6 characters long, by the Fundamental Rule of Counting there are
10*36*36*36*36*36 = 604,661,760
In scientific notation this number can be expressed as
b)
By the <em>Fundamental Rule of Counting</em>, there would be
different combinations of 6 characters, but only the number computed in a) are valid combinations, so the probability of generating a valid password is
Using proportions, it is found that the differential equation which describes the growth of the pigeon population is given by:
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, considering the initial population and the population one week later, the rate of growth is given by:
k = 9/6 = 1.5.
The standard differential equation for population growth is:
Hence:
More can be learned about proportions at brainly.com/question/24372153
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Answer:
D (7, 0.5)
Step-by-step explanation:
The equations must be interpreted to be ...
- y = -1/2x +4
- y = 1/2x -3
A graph shows the solution to be (7, 0.5), matching selection D.
___
You can add the two equations together to get ...
(y) +(y) = (-1/2x +4) + (1/2x -3)
2y = 1 . . . . . simplify
y = 1/2 . . . . .divide by 2
It can be convenient to use the second equation to find x.
1/2 = 1/2x - 3
1 = x - 6 . . . . . . multiply by 2
7 = x . . . . . . . . . add 6
The solution is (x, y) = (7, 0.5). . . . . matches selection D.
