Answer:so I’m trying to do the challenge and answer random questions so don’t mind me
Step-by-step explanation:
Answer:
1/7 ;
0.0034
Step-by-step explanation:
Given that:
X = 1/14, 1/7, 3/14
n = number of observations = 3
Since, probability of X is equally likely ;
P(X) = Σp(x) = 1 ; p(x) = 1/n = 1/3
The mean, m ;
Σx*p(x) = (1/3 * 1/14) + (1/3 * 1/7) + (1/3 * 3/14)
= 1/42 + 1/21 + 3/42
= (1 + 2 + 3) / 42
= 6 / 42
= 1/7
The variance :
Σx²*p(x) - m²
((1/3) * (1/14)^2) + ((1/3) * (1/7)^2) + ((1/3) * (3/14)^2) - (1/7)^2
= 0.0238095 - 0.0204081
= 0.0034014
= 0.0034
Answer: x² + y² = 25
Step-by-step explanation: As we have x²+y²=25 (A) as options,
x-y=1 (B)
x+y=25 (C)
x²+y²=5 (D)
We can rule out B and C as they are not circles. Circles must be
(x - xc)² + (y - yc)² = r². They must have index 2.
We have then A or D.
As the circle must pass through (3,4), we can substitute as x=3 and y=4
(A) 3² + 4² = 9 + 16 = 25 ok
(D) 3² + 4² = 9 + 16 = 25 ≠ 5
So, it is A, x² + y² = 25
