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Ronch [10]
3 years ago
9

Explain why the greatest common factor of two numbers is sometimes one

Mathematics
2 answers:
saul85 [17]3 years ago
3 0
Because the two numbers are considered prime numbers and they don't have any other factors besides one and themselves.
Alex777 [14]3 years ago
3 0
Sometimes they don't have any other common factor besides one
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A lake contains 4 distinct types of fish. Suppose that each fish caught is equally likely to be any one of these types. Let Y de
gregori [183]

a= μ-3.16*σ , b= μ+3.16*σ if each fish caught is equally likely to be any one of these 4 distinct types.

<h3>What is meant by Chebyshev inequality?</h3>

Chebyshev's inequality is a probability theory that ensures that, over a vast range of probability distributions, no more than a particular proportion of values would be present within a selected limits or range as from mean. In other words, only a certain fish caught will be discovered within a given range of the distribution's mean.

The formula for which no more than a particular number of values can exceed is 1/K2; in other words, 1/K2 of a distribution's values can be more than or equal to K standard deviations away from the distribution's mean. Furthermore, it asserts that 1-(1/K2) of a distribution's values must be within, but not include, K standard deviations of the distribution's mean.

How to solve?

from Chebyshev's inequality for Y

P(| Y - μ|≤ k*σ ) ≥ 1-1/k²

where

Y =  the number of fish that need be caught to obtain at least one of each type

μ = expected value of Y

σ = standard deviation of Y

P(| Y - μ|≤ k*σ ) = probability that Y is within k standard deviations from the mean

k= parameter

thus for

P(| Y - μ|≤ k*σ ) ≥ 1-1/k²

P{a≤Y≤b} ≥ 0.90 →  1-1/k² = 0.90 → k = 3.16

then

P(μ-k*σ≤ Y ≤ μ+k*σ ) ≥ 0.90

using one-sided Chebyshev inequality (Cantelli's inequality)

P(Y- μ≥ λ) ≥ 1- σ²/(σ²+λ²)

P{Y≥b} ≥ 0.90  →  1- σ²/(σ²+λ²)=  1- 1/(1+(λ/σ)²)=0.90 → 3= λ/σ → λ= 3*σ

then for

P(Y≥ μ+3*σ ) ≥ 0.90

In order to learn more about Chebyshev inequality, visit:

brainly.com/question/24971067

#SPJ4

4 0
1 year ago
What is the prime number ot 35,69,89,90
Paladinen [302]
The prime number will be 69 and 89
3 0
3 years ago
3 1/7 x 2 2/8 (multiply fractions)
k0ka [10]

Answer:

.214 if it is to 3 decimal places.

5 0
3 years ago
: Matteo has only $62.50 to spend at a soccer store. He wants to buy a jersey that costs $27.50 including tax, and socks that co
Anastasy [175]

Answer:

Step-by-step explanation:

$62.50                              $35.00/ $3.50 = 10

-$27.50                               x=10

-------------

$35.00

Matteo can buy a maximum of 10 socks.

3 0
3 years ago
Question b with explanation?​
Step2247 [10]
Hello!

The answer is 40. All we have to do is find the number of 16 year olds who spent between 25-35 minutes in social media. That is 145. The number of 13 year olds who spent the same amount of time is only 105, therefore 40 more 16 year olds spent between 25 and 35 minutes on social media.
8 0
2 years ago
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