Answer:
a) 0.264
b) 48 cubit light-years
Step-by-step explanation:
For calculating a) What is the probability of 3 or more stars in 16 cubic light years?
a)
λ= 1 star/16 cubic light-years
t= measure t in units of 16 cubic light years.
E(Y) = λ t = (1/16)(16) = 1 star
P(X>=2) = 1 - P(X<2)
= 1 - [e^-1 + (e^-1)(1)/1!]
= 0.264
b)
P(X≥1) = 1 - P(X=0)
= 1 - e^-μ
0.95 = 1 - e^-μ
e^-μ = 1 - 0.95
e^-μ = 0.05
ln(e^-μ) = ln(0.05)
-μ = -3
μ = 3
Therefore 3 x 16 = 48 cubic light years of space
Answer:
11 11/18
Step-by-step explanation:
Calculate by breaking to wholes and parts
You do 150/6 = 500/x
150x = 3000
Means x = 20
Answer:
d = 9
Step-by-step explanation:
Calculate the slope m using the slope formula and equate to 3
m = 
with (x₁, y₁ ) = (4, 6) and (x₂, y₂ ) = (d, 21)
m = 
, that is
= 3 ← multiply both sides by d - 4
15 = 3(d - 4)
15 = 3d - 12 ( add 12 to both sides )
27 = 3d ( divide both sides by 3 )
9 = d , that is
d = 9
