Evaluate the limit...
1 answer:
Answer:
Answer is c
Step-by-step explanation:
Given an expression in n as
We are asked to find out the limit as n tends to infinity
The given term has degree 1 for n in the numerator and degree 2 for n in the denominator
When n tends to infinity, since n is very large, we can say n^2>n
IN other words denominator having square of n approaches infinity faster than the numerator
This gives the limit as a finite value/infinite =0
HEnce limit =0
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Answer and working out attached below. Hope this helps.
Answer:
There is a 28.57% probability that a randomly selected participant who died by the end of the study was a non-smoker.
Step-by-step explanation:
We have the following probabilities:
A 15% probability that a participant is classified as a heavy smoker.
A 25% probability that a participant is classified as a light smoker.
A 100% - 25% - 15% = 60% probability that a participant is classified as a non smoker.
A x% probability that a non smoker dies.
A 3x% probability that a light smoker dies.
A 5x% probability that a heavy smoker dies.
This can be formulated as the following problem:
What is the probability of B happening, knowing that A has happened.
It can be calculated by the following formula
Where P(B) is the probability of B happening, P(A/B) is the probability of A happening knowing that B happened and P(A) is the probability of A happening.
This problem is:
What is the probability of the participant being a non-smoker, given that he died?
P(B) is the probability that the participant is a non smoker. So
P(A/B) is the probability that the participant dies, given that he is a non smoker. So:
P(A) is the probability that the participant dies:
is the probability that a heavy smoker is selected and that he dies. So:
is the probability that a light smoker is selected and that he dies. So:
is the probability that a non-smoker is selected and that he dies. So:
The probability that a participant dies is:
The probability of the participant being a non-smoker, given that he died, is:
There is a 28.57% probability that a randomly selected participant who died by the end of the study was a non-smoker.
I figured it out
warning: mildly incoherent math logic ahead
ok, so if you want a parabola facing right, then
first I'll solve for up down standard parabola then reflect across x=y line
so
y=ax²+bx+c
so let's say teh vertex is at the origin
that means when x=0, y=0
0=0
c=0
y=ax²+bx
ok, see diagram
we have some points, (0,0) and (11,0.5) and (-11,0.5)
use those oints to find a and b
0.5=121a+11b
0.5=121a-11b
add dem equations
1=242a
divide by 242
1/242=a
subsitute
0.5=121a+11b
0.5=121(1/242)+11b
0.5=0.5+11b
0=11b
0=b
oook
de equaiton is
if we want it facing right
switch x and y
the equation is or 
or or 
depends which way you want it and if you want f(x) or f(y) or x or y
warning: mildly incoherent math logic ahead
ok, so if you want a parabola facing right, then
first I'll solve for up down standard parabola then reflect across x=y line
so
y=ax²+bx+c
so let's say teh vertex is at the origin
that means when x=0, y=0
0=0
c=0
y=ax²+bx
ok, see diagram
we have some points, (0,0) and (11,0.5) and (-11,0.5)
use those oints to find a and b
0.5=121a+11b
0.5=121a-11b
add dem equations
1=242a
divide by 242
1/242=a
subsitute
0.5=121a+11b
0.5=121(1/242)+11b
0.5=0.5+11b
0=11b
0=b
oook
de equaiton is
if we want it facing right
switch x and y
the equation is
depends which way you want it and if you want f(x) or f(y) or x or y