3. The length of the line segment is 16 units
<u>Step-by-step explanation:</u>
Considering the properties of quadrilateral, opposite sides are parallel and equal, we can find the value of n, using that n value we can find the value of segment GH.
As given in the problem, sides FG and EH are parallel and so they are equal.
So we can write, the next side EF and GH is also parallel,
EF = GH
4n-4 = 2n+ 6
Grouping the terms we will get ,
4n - 2n = 6+ 4
2n = 10
n = 10/2 = 5
So GH = 2(5) + 6 = 10+ 6 = 16 units.
Step-by-step explanation:
We have it that x follows a poisson distribution.
λ is equal to 3
The poisson distribution is given by:
P(x) = e^-λ * λ^X/X!
λ = 3
X = 4
A. The question had already given us the X value to be 4
p(x = 4)
= e^-3 x 3⁴/4!
= e^-3 = 0.001
3⁴= 34
4! = 81
putting all values into p(x=4)
= .001x81/24
= 0.1680
b. for 3 good hours, we will have lamda to be;
3x3 = 9
p(x = 6)
= e^-9 * 9⁶/6!
= 0.0911
The value of x is √8/3 - 2
Step by step explanation:
The given equation is
3(x+2)^2=8
To find x,
(x+2)²= 8/3
By taking square root on both sides
x+2= √8/3
x=√8/3 -2
x= -0.37
Thus the square root for the given value is -0.37
Answer:
1) -10^3 (-10 to the power of 3)
2) r^5 (pie to the power of 5)
3) 1/2^2 + x^3 (1/2 to the power of 2 + x to the power of 3)
