Answer:
The probability of guessing the correct code is , If you were given ten tries to guess it.
Step-by-step explanation:
First of all, we need to find the total possible combinations due the code is composed by numbers from zero to nine are individually selected at random and combined to make a code that contains a six-digit number. So we obtain .
Then, as we have ten tries to guess, , is the probability of guessing the correct code, one out one houndred thousand.
Answer:
Minimum at (-4, -10)
Step-by-step explanation:
x² + 8x + 6
The coefficient of x² is positive, so the parabola opens upward, and the vertex is a minimum.
Subtract the constant from each side
x² + 8x = -6
Square half the coefficient of x
(8/2)² = 4² = 16
Add it to each side of the equation
x² + 8x + 16 = 10
Write the left-hand side as the square of a binomial
(x + 4)² = 10
Subtract 10 from each side of the equation
(x+ 4)² -10 = 0
This is the vertex form of the parabola:
(x - h)² + k = 0,
where (h, k) is the vertex.
h = -4 and k = -10, so the vertex is at (-4, -10).
The Figure below shows your parabola with a minimum at (-4, -10).
