That would be x^2 + 2x + 3
Division, because the process is a lot shorter than using a fraction.
Answer:
3 Numbers: 15, 21, 35
Step-by-step explanation:
We want number that divide 109 with a remainder of 4.
Thus, it can divide of 109 - 4 = 105
Factors of 105 = 3, 5, 7
Thus for getting two digit number it must be Multiple of any two factors of 105.
i.e. 15, 21 and 35
Hence there are only 3 numbers that divide 109 with a remainder of 4.
Answer:
40%
Step-by-step explanation:
Total students = 30
No. of girls. = 12
Girls % = ?
Girls % = No. of girls/Total students * 100%
= 0.4 * 100
= 40%
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