The possibility of selecting a 4 characters long password consisting of 3 letters and one number if letters cannot be repeated and the password must end with a number is 156000
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more number and variables.
The possibility of selecting the password = 26 * 25 * 24 * 10 = 156000
The possibility of selecting a 4 characters long password consisting of 3 letters and one number if letters cannot be repeated and the password must end with a number is 156000
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For this case we have the following function:
A (t) = P (1 + r / n) ^ nt
Substituting values we have:
A (4) = 500 * (1 + 0.09 / 1) ^ (1 * (4))
A (4) = 705.790805
Rounding we have:
A (4) = 705.79
Answer:
The answer for this case is given by:
A (4) = 705.79
option A
The electrical resistance of a wire varies as its length and inversely as the square of the diameter.
R = (k*L)/(d^2)
where k = proportionality constant
Since the two wires have the same material, their proportionality constant is same.
Equating that
(R1*d1^2)/L1 = (R2*d2^2)/L2
Given that R1 = 10 ohms, d1 = 1.2 mm or 0.0012 m, L1 = 18 m, d2 = 1.5 mm or 0.0015 m, L2 = 27 m, and R2 is unknown.
Therefore
[10*(0.0012^2)]/18 = [R2*(0.0015^2)]/27
R2 = 9.6 ohms
Hector = 2s or h/2
Sister = s
Equation: h/2 = s
Substitution: (20)/2 = s
10 = s
Hector’s sister found 10 seashells.
