Answer:
(a) 0.0001 or 0.01%
(b) 0.01 or 1%
Step-by-step explanation:
Since there are 10 possible numeric digits (from 0 to 9), and there is only one correct digit, there is a 1 in 10 change of getting each digit right.
The probability that if you forget your PIN, then you can guess the correct sequence
(a) at random:

(b) when you recall the first two digits.

Step-by-step explanation:
∑⁴ₙ₌₁ -144 (½)ⁿ⁻¹
This is a finite geometric series with n = 4, a₁ = -144, and r = ½.
S = a₁ (1 − rⁿ) / (1 − r)
S = -144 (1 − (½)⁴) / (1 − ½)
S = -270
If you wanted to find the infinite sum (n = ∞):
S = a₁ / (1 − r)
S = -144 / (1 − ½)
S = -288
Step-by-step explanation:
the the height should be 16 cm I used the Pythagoras theory thank you.
For this case we must find the solution of the following equation:

Rewriting the mixed number in the form of improper fraction we have:

Add
to both sides of the equation:

We add the fractions with the same denominator:

So, the solution is 
Answer:

Answer:
-1
Step-by-step explanation:
since you are dividing, both of the 4x^2 will cancel out
and you will be left with 9/-9 which is equal to -1.