Answer: 0.31 or 31%
Let A be the event that the disease is present in a particular person
Let B be the event that a person tests positive for the disease
The problem asks to find P(A|B), where
P(A|B) = P(B|A)*P(A) / P(B) = (P(B|A)*P(A)) / (P(B|A)*P(A) + P(B|~A)*P(~A))
In other words, the problem asks for the probability that a positive test result will be a true positive.
P(B|A) = 1-0.02 = 0.98 (person tests positive given that they have the disease)
P(A) = 0.009 (probability the disease is present in any particular person)
P(B|~A) = 0.02 (probability a person tests positive given they do not have the disease)
P(~A) = 1-0.009 = 0.991 (probability a particular person does not have the disease)
P(A|B) = (0.98*0.009) / (0.98*0.009 + 0.02*0.991)
= 0.00882 / 0.02864 = 0.30796
*round however you need to but i am leaving it at 0.31 or 31%*
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Answer:
It's c) y = 15x +200
Step-by-step explanation:
First divide the total cost by the number of students using two values of the table:
1500/100 = 15
This is the number that multiply x in the equation.
In the options given, there is just one equation that have 15 multipling x, so that must be the answer
<u>Answer-</u>
The equation is
and Julianne will begin making a profit after 168 days.
<u>Solution-</u>
Julianne's start-up cost = $52,000,
Each day, she spends = $650,
and she earns = $960 per day,
If 'd' is the number of days to overcome the start-up and daily operation cost, then
total operation cost of d days = $650d and
total student lesson fees earned in d days = $960d
∴ The equation to represent the situation is,

∴ Julianne will begin making a profit,



Answer:
x = -4
Step-by-step explanation:
First lets add 82 + 55 which equals 137, then 137 +47 which equals 184
Now we know that a triangle equals 180 degrees (cannot go over 180), so this tells us x is a negitive number.
-x + 184 = 180
-x = -4
Another way to look at it is; 184 minus what equals 180? 4 does, so it translates into -4.