Answer:
B, 24 ÷ 6
Step-by-step explanation:
Answer:
1- x b
2-sinc
3-sin b
4-sin a
5- x c
6- x a
Step-by-step explanation:
The description that accurately explains how a fair decision can be made in this situation is : IF a ball with number 4 and 5 are picked you order the largest size, if a ball with number 4 and another with number 4 is picked you order the medium size, but if the balls picked are that of number 2 and 4, then you order a small size. The probability of each result occurring is a fair one.
<h3>Meaning of probability and full working</h3>
Probability is the degree of occurrence of an event. it can also be said to be the chance for an event to occur.
Probability helps us know the chance an event has to occur. The closer it gets to zero(0) the less chance it has to occur. The closer it gets to one(1) the more chance it has to occur.
Learn more about probability: brainly.com/question/14868936
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Answer:
Step-by-step explanation:
y - 2 = -8(x + 3)
y - 2 -8x - 24
y = -8x - 22
Problem: find 0 ≤ x ≤ 28 such that x^85 ≡ 6 modulo 35.
By Fermat-Euler theorem:
If a and n are coprime, i.e. (a,n)=1, then
a^phi(n) ≡ 1 mod n
where phi(n)=totient function, the number of positive integers less than n that is coprime with n.
for n=35, phi(35)=24 calculated as follows:
There are 10 positive integers from 1 to 34 which are NOT coprime with 35, namely {5,7,10,14,15,20,21,25,28,30}.Therefore phi(35)=34-10=24
From Fermat-Euler theorem,
x^(phi(35) = x^24 ≡ 1 modulo 35 since (24,35)=1, i.e. 24 and 35 are coprime.
=>
x^12 ≡ ± 1 modulo 35. ...........(1)
and
x^85 ≡ x^(85-3*24) ≡ x^(85-72) ≡ x^(13) ≡ 6 mod 35 ............(2)
Substituting (1) in (2)
x^(12)*x ≡ 6 mod 35
=>
(+1)*x = 6 mod 35 or (-1)*x ≡ 6 mod 35
x ≡ 6 mod 35 x ≡ -6 mod 35 (rejected)
=> x=6
So
6^85 ≡ 6 mod 35
If any clarifications are needed or if you find any errors, please post.
