Answer:
Step-by-step explanation:
The given equation is:
Apply difference of two squares on the RHS.
Simplify the RHS.
Expand the RHS
Cross multiply to get:
Expand both sides
Comparing the complex parts, we obtain:
Comparing the real number parts we get;
Solving equations (1) and (2) simultaneously; we get:
Answer:
P(X=2)=0.0446
Step-by-step explanation:
If X follows a Poisson distribution, the probability p to have x pits in 1 cm2 is calculated as:
Where m is the mean of pits per cm2, so, replacing m by 6 pits per cm2, we get that the probability is equal to:
Now, the probability P(x=2) that there are 2 pits in a 1 cm2 is calculated as:
A is the answer to the question
Answer:
AC=16 units
Step-by-step explanation:
The diagonals of a parallelogram bisect each other. It was given that diagonals AC and BD intersect at point E.
This implies that: .
We substitute the expression for x, we get:
.
Group similar terms to get:
.
.
AC = 2(12-4x)
AC=2(12-4(1))
AC=2(8)
AC=16