Answer:
d > 5
Step-by-step explanation:
The circle is open which means there is no line underneath the sign, the way the arrow is facing is the same way the sign should be facing.
Answer:
f(x) = (x - 2)²
Step-by-step explanation:
f(x) = x² - 4x + 4 is a perfect trinomial.
You know a trinomial is perfect when double the square root of the first term multiplied by the square root of the last term equals the middle term.
As an equation, a trinomial in the form ax² + bx + c = 0:
2√a√c = b is a perfect trinomial.
Perfect trinomial are factored in this form:
(√a ± √c )(√a ± √c ) = (√a ± √c )²
Whether the sign is + or - depends on if the middle term is positive or negative.
In f(x) = x²-4x+4, the middle term is a negative.
The square root of the first term is 1.
The square root of the second term is 2.
The factored form is (x - 2)²
Your first point is your y-intercept, which is -2. That means you plot a point at (0,-2).
From that point rise 3 and run (to the right) 4. Plot your second point there.
Connect the two points.
First divide both sides by 2:

Move the constant term to the right side:

Since

we want to have

Then

So in our equation, we need to add 49/16 to both sides in order to complete the square:


Answer:
The probability that the first subject to be a universal blood donor is the seventh person selected is 0.0511
Step-by-step explanation:
Let's start defining the random variable X.
X : ''The first success is on the xth trial''
X can be modeled as a geometric random variable with the following probability function :

Where
is the probability of the random variable X to assumes the value ''x''.
The variable p is the success probability.
For this exercise, we define a success as someone randomly selected is a universal donor and that probability is 
We are looking for : 
The probability function is :

