16^2 is 16•16 so x would equal 256
Using the equations for tangent and secant lines:
Let the unknown length of the line inside the circle = y
6^2 = 3 x (y+3)
Simplify:
36 = 3y+9
Subtract 9 from both sides:
27 =3y
Divide both sides by 3:
Y = 9
Now add to get x:
X = 9 + 3 = 12
X = 12
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:
y = -1x + 3 or y = -x + 3 (**That is the last option which is D**)
Step-by-step explanation:
You need to do slope-intercept formula and the slope formula.
The Slope-Intercept Formula: y=mx+b
The Slope Formula: y2 - y1 / x2-x1
Your coordinates:
(-1,4) and (1,2)
2 - 4/1- (-1)
-2/2
Simplified is -1
Your "m" in the slope-intercept formula is -1
Formula: y=-1x + b
Now, you need to find the Y-Intercept which is the "b"
Using our slope-intercept formula, you need to plug in "x1" and "y1"
4 = -1(-1) + b
4 = 1 +b
4-1 = b
3 = b
So your equation is:
y = -1x + 3 or y = -x + 3
Answer:
37.92
Step-by-step explanation:
just add
