Binomial theory : ( a - b ) ^3 = a^3 - 3a^2b + 3ab^2 - b^3 ;
Then, ( 2y - 3x ) ^3 = 8y^3 - 36y^2x + 54yx^2 - 27x^3
If 8=8 it will be 8(7) which means we have to do 8*7 and 8*7 will be 56 so the answer is 56 :) brainliest would be appreciated
Answer:
The possible images of AB are;
PN, HG, and CD
Step-by-step explanation:
The coordinates of the point A is (1, 2), the coordinates of the point B is (5, 2)
Therefore, the length of the line AB = 5 - 1 = 4 units
The given transformations are, reflections, rotations, and/or translations which are rigid transformations, such that the length of the image of AB will be the same as the length of AB
Therefore, the possible images of AB are;
PN with coordinates P(5, -2) and N(9, -2) and length 9 - 5 = 4 units
HG with coordinates H(-4, -4) and G(-4, -8) and length -4 - (-8) = -4 + 8 = 4 units
CD with coordinates C(-4, 6) and D(-4, 2) and length 6 - 2 = 4 units
Answer:
2, I think. Lines 1 & 2 and lines 7 & 4 are perpendicular
edit: 3 pairs, 3 & 5 is the last one
Step-by-step explanation:
Answer: 0.2401
Step-by-step explanation:
The binomial distribution formula is given by :-
where P(x) is the probability of x successes out of n trials, p is the probability of success on a particular trial.
Given : The probability that a randomly chosen citizen-entity of Cygnus is of pension age† is approximately: p =0.7.
Number of trials : n= 4
Now, the required probability will be :
Thus, the probability that, in a randomly selected sample of four citizen-entities, all of them are of pension age =0.2401
