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
Hope this helps!!
Answer:
volume of trapezoidal prism = 15x^2 cubic units
Step-by-step explanation:
First, area of the trapezoidal bases.
Parallel sides measure x and 2x, for an average of 1.5x.
Height = x
Area of trapezoidal base = 1.5x*x = 1.5x^2
Volume of prism = area base * height
(length does not matter, height does)
= 1.5x^2 * 10 = 15x^2
If you divide the amount of Dollars by the amount of Euros you get the price of 1 Euro in Dollars.
$600/450€ = $1,33 per each Euro
Answer:
$15
Step-by-step explanation:
Let Frank be f
Deandra be d and
Charlie be c
f = 3d ......(i)
c=$20+f.....(ii)
c=$65........(iii)
Equate (ii) and (iii)
$20+f = $65
f = $45.......(iv)
Equate (i) and (iv)
3d = $45
d = $15
Deandra has $15.
