The answer is C. Opposite sides have the exact same slope, and the shape is a quadrilateral.
Answer:
A. (-1 , 3)
Step-by-step explanation:
2x + y = 1
plus 3x - y = -6
------------------------------
5x = -5
x = -1
y = 1 - (2*-1) = 3
Answer:
y = 5/8x - 3
Step-by-step explanation:
(8,2) and (-8,-8)
m=(y2-y1)/(x2-x1)
m = ( -8 -2)/ (-8 - 8)
m = (-10)/(-16)
m = 5/8
y - y1 = m(x - x1)
y - 2 = 5/8(x - 8)
y - 2 = 5/8x - 5
y = 5/8x - 3
The number of companies is quite large. That is, n is quite large.
The probability that a company declares bankruptcy is quite small , p is quite small.
np = the mean number of bankruptcies = 2 = a finite number.
Hence we can apply Poisson distribution for the data.
P (x=5 | mean =2) = e-2 25/5! = e-2 * 32/120 = 0.036089
Alternatively
=poisson(5,2,0) = 0.036089
P(x≥ 5 | mean =2) = 1- P( x ≤ 4) = 1- e-2 (1+2+22/2!+23/3!+24/4!)= 1-e-2 (1+2+2+8/6+16/24)= 1-e-2(7)
=0.052653
Alternatively
= 1- poisson(4,2,1) =0.052653
P(X > 5 | mean =2) = 1- p(x
≤ 5) =1- e-2 (1+2+22/2!+23/3!+24/4!+25/5!)= 1-e-2(7+4/15)
=0.016564
alternatively=1-poisson(5,2,1)
=0.016564
This is the picture I am not very good at proofs but hopefully someone can solve it.
