Answer:
P (A ║ B) = 1.98 %
Step-by-step explanation:
Bayes´ Theorem express
P (A ║ B) = P(A) * P( B ║ A) / P(B)
Now we identify
Event A person infected with a virus. Probability of being infected by a virus is P/A) 0.001
Event B the test was positive. Probability of test positive P(B) = 0,05
Probability of P ( B║ A) is the porbability of test positive given that is infected = 0.99
Then by subtitution in a general equation of the theorem we have
P (A ║ B) = 0.001*0.99/ 0.05
P (A ║ B) = 0.0198 P (A ║ B) = 1.98 %
Answer:
-sqrt(5) ≤ x ≤ sqrt(5)
Step-by-step explanation:
x^2-5≤0
Add 5 to each side
x^2-5+5≤0+5
x^2 ≤5
Take the square root of each side, remembering to flip the inequality for the negative sign. Since this is less than we use and in between
sqrt(x^2) ≤ sqrt(5) and sqrt(x^2) ≥ -sqrt(5)
x ≤ sqrt(5) and x ≥- sqrt(5)
-sqrt(5) ≤ x ≤ sqrt(5)
Answer:
D: 14q + 21√qr
Step-by-step explanation:
We want to find the product of;
(2√q + 3√r) and 7√q.
Where p and q are integers.
Using distributive property, we have;
(2√q × 7√q) + (3√r × 7√q)
>> 14q + 21√qr
Correct option is D
Answer:
68 degrees
Step-by-step explanation:
The ladder, the building and the ground together make up a right triangle with angle of elevation to be determined.
The side opposite this angle is 10 ft; the distance of the foot of the ladder from the building is 4 ft. Thus,
tan x = (opp side) / (adj side) = 10/4. Using the inverse tangent function, we find that the angle in question is
arctan (10/4) = 68 degrees
Answer:
2.95
Step-by-step explanation:
