Answer:
Step-by-step explanation:
This is a conditional probability exercise.
Let's name the events :
I : ''A person is infected''
NI : ''A person is not infected''
PT : ''The test is positive''
NT : ''The test is negative''
The conditional probability equation is :
Given two events A and B :
P(A/B) = P(A ∩ B) / P(B)
P(A/B) is the probability of the event A given that the event B happened
P(A ∩ B) is the probability of the event (A ∩ B)
(A ∩ B) is the event where A and B happened at the same time
In the exercise :
We are looking for P(I/PT) :
P(I/PT)=P(I∩ PT)/ P(PT)
P(PT/I)=P(PT∩ I)/P(I)
0.904=P(PT∩ I)/0.025
P(PT∩ I)=0.904 x 0.025
P(PT∩ I) = 0.0226
P(PT/NI)=0.041
P(PT/NI)=P(PT∩ NI)/P(NI)
0.041=P(PT∩ NI)/0.975
P(PT∩ NI) = 0.041 x 0.975
P(PT∩ NI) = 0.039975
P(PT) = P(PT∩ I)+P(PT∩ NI)
P(PT)= 0.0226 + 0.039975
P(PT) = 0.062575
P(I/PT) = P(PT∩I)/P(PT)
Answer:
1.5 miles
Step-by-step explanation:
According to the scale, we can simply multiply the distance that Sonja measured on the map by the actual mile distance that it states on the scale (1/2 or 0.5) to calculate the actual distance between Sonja's house and Sal's house like so...
3 * 0.5 = 1.5 miles
Therefore, we can see now that there is a total actual distance of 1.5 miles between both of their houses, which is represented as 3 inches on the map.
Answer:
X > 40
Step-by-step explanation:
Given that:
Let number of coins in her collection is more Than 40
To represent the number of coins in Melissa's collection as an inequality :
Let total number of items in her collection = X
Coins in her collection > 40
Hence, coins in her collection can be represented as :
X > 40
For every lawn Cambridge mows he earns 16.50 USD, knowing this we now know the unit rate. The unit rate is (1,16.50).
Make more sense ou of this question and I can help you out more ok?
