The geometric sequence is 3, 9, 27, 81, 243, 729 because each time it is multiplied by 3.
Answer:



Step-by-step explanation:
Given
Let
A = Event of being a universal donor.
So:


Solving (a): Mean and Standard deviation.
The mean is:



The standard deviation is:




Solving (b): P(x = 3)
The event is a binomial event an dthe probability is calculated as:

So, we have:




Answer:
Given,
ABC is triangle with vertices A(-2,1), B(2,2) and C(6, -2)
Slope of BC(m_1) =
Since AD is perpendicular to BC
let slope of BC be (
).
We have for perpendicular



Now equation of line passing through point A(-2,1) is

y-1=1(x-(-2))
y-1=x+2
y=x+2+1
y=x+3 which is a required equation of the altitude of AD drawn from A to BC.
First square each term to rid of the root sign:
x^2 + 1^2 + 3^2 = 0^2
x^2 + 1 + 9 = 0
x^2 = -10
x = root -10