The values of (x, y) are (-5, 1), if the equations and are solved by elimination method.
Step-by-step explanation:
The given is,
................................(1)
.....................................(2)
Step:1
Equation (2) is multiplied by -1 ( Eqn (2) × -1 )
..................................(3)
Step:2
Substrate the equation (1) and equation (3),
( - )
After the Subtraction equation becomes,
Step:3
By using y value find value of x,
Step:4
Check for solution,
Both sides are equal so answer is corrected
Result:
The values of (x, y) are (-5, 1), if the equations and are solved by elimination method.
18)
h/4 = 12/h
h^2 = 48
h = 6.93
19)
x/ 12 = 3/x
x^2 = 36
x = 6
y^2 = 144 - 36
y^2 = 108
y = 10.39
Answer:
There is a 9.6% probability that a person is diagnosed as having cancer.
Step-by-step explanation:
In this problem, we have these following probabilities:
A 5% probability that an adult over 40 has cancer.
This also means that:
There is a 95% probability that an adult over 40 does not have cancer. (Since either the adult has cancer or does not have cancer, and the sum of the probabilities is 100%).
A 78% probability of a person that has cancer being diagnosed,
A 6% probability of a person that does not have cancer being diagnosed.
What is the probability that a person is diagnosed as having cancer?
is the probability of those who have cancer being diagnosed. So it is 78% of 5%. So
is the probability of those who do not have cancer being diagnosed. So it is 6% of 95%. So
So
There is a 9.6% probability that a person is diagnosed as having cancer.