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P(V|A) is not 0.95. It is opposite:
P(A|V)=0.95
From the text we can also conclude, that
P(A|∼V)=0.1
P(B|V)=0.9
P(B|∼V)=0.05
P(V)=0.01
P(∼V)=0.99
What you need to calculate and compare is P(V|A) and P(V|B)
P(V∩A)=P(A)⋅P(V|A)⇒P(V|A)=P(V∩A)P(A)
P(V∩A) means, that Joe has a virus and it is detected, so
P(V∩A)=P(V)⋅P(A|V)=0.01⋅0.95=0.0095
P(A) is sum of two options: "Joe has virus and it is detected" and "Joe has no virus, but it was mistakenly detected", therefore:
P(A)=P(V)⋅P(A|V)+P(∼V)⋅P(A|∼V)=0.01⋅0.95+0.99⋅0.1=0.1085
The system of linear equations that relates x and y:
x= 15 + y
5 x = 2 y+ 525
We will solve this system using substitution method:
5(15 + y)=2 y + 525
75 + 5 y = 2 y + 525
5 y - 2 y = 525 - 75
3 y = 450, y = 450 : 3 y = 150
x = 15 + y x = 15 + 150 x = 165
Answer: Aaron´s height is 165 cm and Peter´s height is 150 cm.
Answer:
Top right i believe
Step-by-step explanation: the elements that make up life are carbon, hydrogen, oxygen, nitrogen, phosphorus, and sulfur.
X = 15
X + 90 = 7x
X = 7x - 90
X - 7x = -90
-6x = 90
Divide both sides by -6
X = 15
Total amount needed for the video game = $200
Total amount of money saved = $68
Amount of money that is needed to be saved = 200-68 =132
So raj needs to work additional hours in order to earn the remaineder$132 for the video game
Hourly wage = $5.5
So, number of hours that Raj needs to work to earn $132 = $132/5.5 = 24 hours
Number of hours that Raj needs to work to earn the remainder of the money = 24 hours
