1
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
Here is your answer
12m-6
REASON:
6(2m-1)
Multiply 6 with both the terms in bracket, we get
6×2m - 6×1
= 12m-6
HOPE IT IS USEFUL
Download the app photomath it will help you
Answer:
The volume of water bottle Francisco takes to school = 1.0048 liters
Step-by-step explanation:
The dimensions of the water bottle are given :
The Height of the water bottle is 20 cm
⇒ h = 20 cm
The Radius of the water bottle is 4 cm
⇒ r = 4 cm
⇒ Volume of the water bottle = π·r²·h
⇒ Volume = 3.14 × 4² × 20
⇒ Volume = 1004.8 cm³
Now, 1000 cm³ = 1 liter
⇒ 1004.8 cm³ = 1.0048 liter
Hence, The volume of water bottle Francisco takes to school = 1.0048 liters
Because the two triangles are similar, their angles will be the exact same.
Therefore, Angle B is 130 degrees
The answer is D.
There isn't a graph to look at for the second question so I can't help you on that one