The answer for your problem would be $64.225
there it is your answer
Answer:7
Step-by-step explanation:
Using the binomial distribution, it is found that there is a 0.037 = 3.7% probability that Adina's friend correctly identifies each of the 3 cups of water.
For each water, there are only two possible outcomes, either it is correctly identified, or it is not. The probability of a water being correctly identified is independent of any other water, hence the binomial distribution is used to solve this question.
<h3>What is the binomial distribution formula?</h3>
The formula is:
![P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}](https://tex.z-dn.net/?f=P%28X%20%3D%20x%29%20%3D%20C_%7Bn%2Cx%7D.p%5E%7Bx%7D.%281-p%29%5E%7Bn-x%7D)
![C_{n,x} = \frac{n!}{x!(n-x)!}](https://tex.z-dn.net/?f=C_%7Bn%2Cx%7D%20%3D%20%5Cfrac%7Bn%21%7D%7Bx%21%28n-x%29%21%7D)
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:
- The friend guesses among 3 types, hence
.
- 3 cups will be identified, hence
.
The probability that each of the 3 cups is correctly identified is P(X = 3), hence:
![P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}](https://tex.z-dn.net/?f=P%28X%20%3D%20x%29%20%3D%20C_%7Bn%2Cx%7D.p%5E%7Bx%7D.%281-p%29%5E%7Bn-x%7D)
![P(X = 3) = C_{3,3}.(0.3333)^{3}.(0.6667)^{0} = 0.037](https://tex.z-dn.net/?f=P%28X%20%3D%203%29%20%3D%20C_%7B3%2C3%7D.%280.3333%29%5E%7B3%7D.%280.6667%29%5E%7B0%7D%20%3D%200.037)
0.037 = 3.7% probability that Adina's friend correctly identifies each of the 3 cups of water.
You can learn more about the binomial distribution at brainly.com/question/24863377
Answer:
A. Expression
Step-by-step explanation:
In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
An equation is a mathematical statement that two things are equal. It consists of two expressions, one on each side of an 'equals' sign.
I really hope this helps, good luck! <3
-YAND3R3
Answer: The number of miles Paul ran is 2 miles.
Step-by-step explanation:
Let the number of miles Paul ran be x
Since we have given that
Number of miles ran by Yurika = 7 miles
According to question, Yurika ran 3 more than twice as many miles as Paul did yesterday.
So, it becomes,
![2x+3=7\\\\2x=7-3\\\\2x=4\\\\x=\frac{4}{2}\\\\x=2\ miles](https://tex.z-dn.net/?f=2x%2B3%3D7%5C%5C%5C%5C2x%3D7-3%5C%5C%5C%5C2x%3D4%5C%5C%5C%5Cx%3D%5Cfrac%7B4%7D%7B2%7D%5C%5C%5C%5Cx%3D2%5C%20miles)
Hence, the number of miles Paul ran is 2 miles.