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
1.56
Step-by-step explanation:
You must find the unit rate. To do so, you must divide 3.90 by 15. That will give you 0.26. After, times 6 and .26 to get your answer. Hope this helps.
The number of decorative pillows did the realtor arrange on each twin bed and queen bed is 6 and 9 respectively.
<h3>Simultaneous equation</h3>
let
- Number of decorative pillows for twin bed = x
- Number of decorative pillows for queen bed = y
x + y = 15
2x + y = 21
From equation (1)
x = 15 - y
- Substitute x = 15 - y into (2)
2x + y = 21
2(15 - y) + y = 21
30 - 2y + y = 21
- 2y + y = 21 - 30
-y = -9
y = 9
Substitute y = 9 into
x + y = 15
x + 9 = 15
x = 15 - 9
x = 6
Learn more about simultaneous equation:
brainly.com/question/16863577
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