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!!
When the triangle RST is rotated by <span>90° in a clockwise direction, the name of the image after the rotation would be SRT.
The reason you get a name like this is because you're not only rotating the triangle, you also rotating the letters along with the image.</span>
Obtuse angle. If wrong I’m sorry lol
Step 1: Add the two equations together to get just one equation.
2x + y + x - y = 5 + 1
Step 2: Simplify.
3x = 6
Step 3: Divide by 3 on both sides.
3x / 3 = 6 / 3
x = 2
Therefore, the answer is x=2