Let events
A=Nathan has allergy
~A=Nathan does not have allergy
T=Nathan tests positive
~T=Nathan does not test positive
We are given
P(A)=0.75 [ probability that Nathan is allergic ]
P(T|A)=0.98 [probability of testing positive given Nathan is allergic to Penicillin]
We want to calculate probability that Nathan is allergic AND tests positive
P(T n A)
From definition of conditional probability,
P(T|A)=P(T n A)/P(A)
substitute known values,
0.98 = P(T n A) / 0.75
solving for P(T n A)
P(T n A) = 0.75*0.98 = 0.735
Answer:
E) 6
Step-by-step explanation:
a/b = 6
36/b = 6
6b = 36
b = 36/6 = 6
b/x = 36
6/x = 36
36x = 6
x = 6/36 = 1/6
hence 1/x = 6
Answer:
f(x) = x² - 6x + 14
Step-by-step explanation:
Standard form is ax² + bx + c = 0 or f(x) = ax² + bx + c
So we are going to expand the equation and combine like terms:
f(x) = (x - 3)² + 5
f(x) = x² - 3x - 3x + 9 + 5
f(x) = x² - 6x + 9 + 5
f(x) = x² - 6x + 14
Let the volume be x.
Therefore, answer of the given question = x cm³
Answer:
The area of shaded sector
Formula A = (θ / 360°) × πr²
θ=360°-140°=220°
r=18yd
We have A=(220/360)×3.14×(18)²
=621.72yd²
Area of sector is621.72yd².
