You determine which one to use by seeing which one would be easier
elimination: 5x + 7y = 2
-5x + 6y = 6
substitution: y = 9x + 5
2y = 7x + 2
Answer:
solution given:
similar cylinders ratio 1:3
let the ratio be 1x and 3x respectively:
according to the question:
x/3x=volume of (smaller cylinder/big cylinder)
Volume of big Cylinder=67cm³×3=201cm3
201cm³ is your answer
Answer:
69.4 inches
Step-by-step explanation:
62 + 72 + 73 + 69 + 71 = 347
347 / 5 = 69.4
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
