1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
finlep [7]
3 years ago
6

El teorema de wilson

Mathematics
1 answer:
My name is Ann [436]3 years ago
6 0

Answer:

En matemáticas, especialmente en la teoría de números hay una proposición que vincula tres conceptos: primalidad, factorial de un número entero no nulo y congruencia de números respecto de un módulo.

answer-Wilson's theorem, in number theory, theorem that any prime p divides (p − 1)! ... + 1, where n! is the factorial notation for 1 × 2 × 3 × 4 × ⋯ × n. For example, 5 divides (5 − 1)!

You might be interested in
At a new exhibit in the Museum of Science, people are asked to choose between 94 or 220 random draws from a machine. The machine
Tresset [83]

Answer:

0.0869 = 8.69% probability of getting more than 61% green balls.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \mu = p and standard deviation s = \sqrt{\frac{p(1-p)}{n}}

The machine is known to have 99 green balls and 78 red balls.

This means that p = \frac{99}{99+78} = 0.5593

Mean and standard deviation:

\mu = p = 0.5593

s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.5593*0.4407}{99+78}} = 0.0373

a. Calculate the probability of getting more than 61% green balls.

This is 1 subtracted by the pvalue of Z when X = 0.61. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{0.61 - 0.5593}{0.0373}

Z = 1.36

Z = 1.36 has a pvalue of 0.9131

1 - 0.9131 = 0.0869

0.0869 = 8.69% probability of getting more than 61% green balls.

8 0
2 years ago
Factor 20 please explain factors and answer I'm really bad at math
Leona [35]
<span>1, 2, 4, 5,10, and 20.</span>
5 0
2 years ago
Read 2 more answers
Aaron can select between the following payment plans. Payment plan 1: aaron will get paid $10 the first week and each subsequent
Nataly_w [17]

Answer:

Payment plan 2

Step-by-step explanation:

8 0
3 years ago
Yolanda makes wooden boxes for a craft fair. she makes 100 boxes like the one shown and she wants to paint all the outside faces
Masteriza [31]
Honestly... i don't even know

5 0
3 years ago
Read 2 more answers
A text font fits 12 characters per inch. Using the same font, how many characters can be expected per yard of text?
Radda [10]
The answer is 432 characters
8 0
3 years ago
Other questions:
  • Plz ASAP
    14·1 answer
  • If the length of the hypotenuse of a right triangle is 39 millimeters and the length of one leg is 15 millimeters what is the le
    11·1 answer
  • pls solve quickly!: It took a boat 2 hours to reach town A going upstream. The way back was 1h20 min. What is the speed of the b
    6·1 answer
  • What is the quantity of goods and services that sellers are willing and able to sell known as?
    9·2 answers
  • Graph the linear equation. Find three points that solve the equation. - 3x +2y=2
    7·1 answer
  • Help!!!! please alegabra 1​
    10·1 answer
  • Represente em uma reta numérica os conjuntos indicados abaixo (cada conjunto deve ser representado em uma reta numérica diferent
    14·1 answer
  • Find the measures of m and n.
    11·1 answer
  • PLEASE HELP WITH THE SECOND QUESTION!<br> I'LL MARK BRAINLIEST!
    8·1 answer
  • Answer BOTH questions and show your work (either type out your steps, use the writing tool or upload a picture of your work):
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!