<span>x -3y=6
3y = x - 6
y = x/3 - 2
answer
</span>slope-intercept form of the equation: y = x/3 - 2
Answer: X = 50
Step-by-step explanation:
Add 10 to both sides
2x = 100
divide by 2
x= 50
Let
so that the Lagrangian is
You have
Solving for
, you find four potential critical points, each giving values of
listed below:
Before you choose any of these, keep in mind that
is not a plane, so you need to also check for any possible critical points within the disk
.
The gradient is zero when
and
. At this point, you have
.
So, there are two maxima, both 50, and one minimum, -4.
The equation for those points is y=-3x - 336
3 times 74 equals 222 minus 336 is -114
(74,-114) is your answer
Answer:
37.27% probability that he or she will have a heart attack.
Step-by-step explanation:
Bayes Theorem:
Two events, A and B.
In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.
In this question:
Event A: Periodontal disease
Event B: Heart attack
Researchers discovered that 82% of people who have suffered a heart attack had periodontal disease, an inflammation of the gums.
This means that
Only 33% of healthy people have this disease.
This means that
Suppose that in a certain community heart attacks are quite rare, occurring with only 15% probability.
This means that
If someone has periodontal disease, what is the probability that he or she will have a heart attack
37.27% probability that he or she will have a heart attack.