Answer:
- 11x² + 4x + 14
Step-by-step explanation:
Given
(9 - 3x²) + (- 8x² + 4x + 5) ← distribute both parenthesis by 1
= 9 - 3x² - 8x² + 4x + 5 ← collect like terms
= - 11x² + 4x + 14 ← sum of the polynomials
The range is how much it spans in f(x), f(x) is a line, it has no max/min, so it's enough to substitute the least and greatest values of your domain:
f(-2) = -5, f(4)=7,
Range = [-5,7]
Using the binomial distribution, it is found that there is a 0.0328 = 3.28% probability that at least 2 of them choose the same quote.
<h3>What is the binomial distribution formula?</h3>
The formula is:


The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
In this problem, we have that:
- There are 6 students, hence n = 6.
- There are 20 quotes, hence the probability of each being chosen is p = 1/20 = 0.05.
The probability of one quote being chosen at least two times is given by:

In which:
P(X < 2) = P(X = 0) + P(X = 1).
Then:



Then:
P(X < 2) = P(X = 0) + P(X = 1) = 0.7351 + 0.2321 = 0.9672.

0.0328 = 3.28% probability that at least 2 of them choose the same quote.
More can be learned about the binomial distribution at brainly.com/question/24863377
Answer:
i hope this helps
Step-by-step explanation: