Answer:
(A) 0.297
(B) 0.595
Step-by-step explanation:
Let,
H = a person who suffered from a heart attack
G = a person has the periodontal disease.
Given:
P (G|H) = 0.79, P(G|H') = 0.33 and P (H) = 0.15
Compute the probability that a person has the periodontal disease as follows:

(A)
The probability that a person had periodontal disease, what is the probability that he or she will have a heart attack is:

Thus, the probability that a person had periodontal disease, what is the probability that he or she will have a heart attack is 0.297.
(B)
Now if the probability of a person having a heart attack is, P (H) = 0.38.
Compute the probability that a person has the periodontal disease as follows:

Compute the probability of a person having a heart attack given that he or she has the disease:

The probability of a person having a heart attack given that he or she has the disease is 0.595.
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The equation can be rewritten to vertex form, so you can tell the vertex is at (2, -5). The leading coefficient of 2 means the points will be twice as far apart vertically than they would be if the leading coefficient were 1. A couple of points are shown in the attached.
y = 2(x^2 -4x) +3
y = 2(x^2 -4x +4) +3 -8 . . . . . . complete the square
y = 2(x -2)^2 -5 . . . . . . . . . . . . finish putting in vertex form
Answer:
1. {(2, 7), (1, 3), (0, -5), (-1, -2)}
2. {(1, -1), (-1, 0), (-3, -5), (-9, 2)}
Step-by-step explanation:
Inverse means finding the opposite so basically all you have to do is write the opposite of lets say -3 which is +3.
Step-by-step explanation:
The definition of a repeating decimal is a fractional number in which one or more numbers after the decimal point repeats indefinitely. The fractional representation of 1/3, which is . 3333333 (with the 3 repeating forever) is an example of a repeating decimal.
Answer:
Option A) m∠RNS=27°
Step-by-step explanation:
We know that
∠UNR = 180°. This tells us that the Sum of the enclosed angles should equal 180°, by trigonometry. So the enclosed angles are:
∠RNS = 
∠SNT= 
∠TNU= 
Now let us add all the angles and solve for the value of
as follow:


Now lets plug in the value into the expression for angle
∠RNS to find the angle as:

Thus Option A. is the correct answer.