Answer:
The coordinates of N are (-3,-8)
Step-by-step explanation:
Here, we are going to use the internal division to find the coordinates of the point split the line segment MP in the ratio 3:4
Mathematically, that would be;
(x,y) = (nx1 + mx2)/(m + n), (ny1 + my2)/(m + n)
we have;
m = 3 and n = 4
M is (x1,y1) while N is (x2,y2)
we have;
(x,y) = (4(-12) + 3(9))/(3+4) , (4(-5) + 3(-12))/(3+4)
(x,y) = (-48 + 27)/7, (-20 -36)/7
(x,y) = (-21/7 , -56/7)
(x,y) = (-3,-8)
Answer:
y=-2x +8
Step-by-step explanation:
Answer: 0.0241
Step-by-step explanation:
This is solved using the probability distribution formula for random variables where the combination formula for selection is used to determine the probability of these random variables occurring. This formula is denoted by:
P(X=r) = nCr × p^r × q^n-r
Where:
n = number of sampled variable which in this case = 21
r = variable outcome being determined which in this case = 5
p = probability of success of the variable which in this case = 0.31
q= 1- p = 1 - 0.31 = 0.69
P(X=5) = 21C5 × 0.31^5 × 0.69^16
P(X=5) = 0.0241
Answer:
I think b because it goes from most to least sorry if u can't understand
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