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
"Pedro has twice as many carrots as Martha:"
p = 2m
<span>
"If Pedro gives 5 carrots to Oliver,"
p - 5 (</span>Oliver is irrelevant.)<span>
"then Martha has 3 times as many carrots as Pedro"
</span>
m = 3(p - 5)
We know p in terms of m, so substitute it in:
m = 3(2m - 5)
Distribute the 3:
m = 6m - 15
Subtract 6m from both sides:
m-6m=-15
Combine variable terms:
-5m=-15
Divide out -5
m = -15/-5
m = 3
The answer is c) 3
Can u show me what the parallelogram below was
Answer:
43.20
Step-by-step explanation:
First we need to find the sales tax
tax = price * tax rate
tax = 40 * 8%
= 40*.08
=3.2
We final cost is the price plus the sales tax
final cost = price + tax
= 40+3.2
= 43.20
Answer:
Those functions are for a graph.
Step-by-step explanation:
You can compare them by heading to a website like desmos and plugging in each function, I think they even do tables as well.
These are functions that can be graphed, I assume you know what that is, if not, look it up.
good luck