Answer:
No, I do not agree with the conjecture because 1 is not a prime number.
Step-by-step explanation:
A prime number is one that can be divided by 1 and itself only. Thus it can be expressed in 2 factors only, 1 and the number itself.
Examples are; 2, 3, 5, 13, 19 , 23 etc.
So, 2 = 1 x 2
3 = 1 x 3
23 = 1 x 23
Prime numbers must be expressed as the product of 1 and the number.
The conjecture that every prime number can be expressed as the product of two prime numbers is false. Because 1 is not a prime number, since it has no 2 factors.
Answer:
Fraction: 1/256 or
Decimal: 0.00390625 or 0.00391
Step-by-step explanation:
4^-4=1/4^4
4^4=256
=1/256
Your answer should be 101°. 52+53+154= 259. 360-259= 101. Hope that helps
Answer:
Im pretty sure that is an obtuse angle
Step-by-step explanation:
Hope that helps
Answer:
P(Y=1|X=3)=0.125
Step-by-step explanation:
Given :
p(1,1)=0
p(2,1)=0.1
p(3,1)=0.05
p(1,2)=0.05
p(2,2)=0.3
p(3,2)=0.1
p(1,3)=0.05
p(2,3)=0.1
p(3,3)=0.25
Now we are supposed to find the conditional mass function of Y given X=3 : P(Y=1|X=3)
P(X=3) = P(X=3,Y=1)+P(X=3,Y=2) +P(X=3,Y=3)
P(X=3)=p(3,1) +p(3,2) +p(3,3)
P(X=3)=0.05+0.1+0.25=0.4

Hence P(Y=1|X=3)=0.125