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:
How do you figure out if a relation is a function? You could set up the relation as a table of ordered pairs. Then, test to see if each element in the domain is matched with exactly one element in the range. If so, you have a function!
Step-by-step explanation:
Answer:

Step-by-step explanation:
Given
Length of Pieces = 50cm
Number of Pieces = w
Left over = 20cm
Required
Determine the length of the wood
Start by multiplying the number of pieces by the length of each pieces



Lastly, add the leftover to get the actual length of the wood

Substitute 50w for Result and 20 for Leftover

<em>Hence, the length of the wood is 50w + 20</em>
Answer:
y = x - 12
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
Here m = 1 and b = - 12 , thus
y = x - 12 ← equation of line