SOLUTION
Given the question in the image, the following are the solution steps to verify the identity
STEP 1: Write the given identity
STEP 2: Verify the identity
The verification of the identity is as seen above.
A binomial distribution has the following properties;
1. There is a fixed number of trials.
2. Each trial is independent of the others.
3.Each trial has a constant probability of success.
4. There are only two possible outcomes, 'success' and 'failure'.
Statements B and D meet the requirements for the variable X to have a binomial distribution.
Answer:
Negative correlation.
Step-by-step explanation:
Negative correlation means that as x increases, y decreases
Positive correlation means that as x increases, y also increases.
No correlation means that neither of the two above cases happens.
In the graph, we can see that on the right (when x is negative) the general y values are larger.
As x increases, the y-values decrease.
(Particularly, we could adjust these data with a linear equation with a negative slope)
Then this is a negative correlation.
The given graph is for a piecewise function consisting of two intervals:
(1) x ≤ 1 ⇒⇒⇒ the graph in this interval like <u>a cubic </u>function.
(2) x > 1 ⇒⇒⇒ the graph in this interval like <u>a quadratic </u>function
By comparing to the given options
<u>The answer is option c.</u>
