Answer:
the answer is: equivalent to 12x - 1
X^3 - 14x^2 + 49x = 0
Factor an x out:
x(x^2 - 14x + 49) = 0
Find two factors of 49 that add to -14 (-7 and -7). Convert the trinomial to two binomials:
x(x - 7)(x - 7) = 0
The zeros are:
x = 0 and x = 7.
7 occurs as a zero twice and therefore has a multiplicity of 2.
A keypad at the entrance of a building has 10 buttons labeled 0 through 9. What is the probability of a person correctly guessing a 9-digit entry code if they know that no digits repeat?
Answer:
the probability of a person correctly guessing a 9-digit entry code if they know that no digits repeat is 0.1
Step-by-step explanation:
We know that probability= number of required outcomes /number of all possible outcome.
From the given information;
the number of required outcome is guessing a 9-digit = 1 outcome
the number of all possible outcome = ¹⁰C₉ since there are 10 numbers and 9 number are to be selected.
Since there are only 9-digit that opens the lock;
the probability of a person correctly guessing a 9-digit entry code is



P = 0.1