The correct answers to the question above includes:
a=.1
b=20.775
c=0.02
Answer: C)27:1
Step-by-step explanation:
Given, Kent has two similar cylindrical pipes, Pipe A and Pipe B. The radius of Pipe A is 6 cm, and the radius of Pipe B is 2 cm.
Volume of cylinder = 
, where r= radius and h = height.
Also, If two figures are similar then ratio of volume is equal to the cube of any dimension .
The ratio of the volume of Pipe A to the volume of Pipe B is given by :-
Thus, the ratio of the volume of Pipe A to the volume of Pipe B = 27:1
So, the correct option is C)27:1.
Answer:
a) Calculate the probability that at least one of them suffers from arachnophobia.
x = number of students suffering from arachnophobia
= P(x ≥ 1)
= 1 - P(x = 0)
= 1 - [0.05⁰ x (1 - 0.05)¹¹⁻⁰
]
= 1 - (0.95)¹¹
= 0.4311999 = 0.4312
b) Calculate the probability that exactly 2 of them suffer from arachnophobia? 0.08666
= P(x = 2)
= (¹¹₂) x (0.05)² x (0.95)⁹
where ¹¹₂ = 11! / (2!9!) = (11 x 10) / (2 x 1) = 55
= 55 x 0.0025 x 0.630249409 = 0.086659293 = 0.0867
c) Calculate the probability that at most 1 of them suffers from arachnophobia?
P(x ≤ 1)
= P(x = 0) + P(x = 1)
= [(¹¹₀) x 0.05⁰ x 0.95¹¹] + [(¹¹₁) x 0.05¹ x 0.95¹⁰]
= (1 x 1 x 0.5688) + (11 x 0.05 x 0.598736939) = 0.5688 + 0.3293 = 0.8981
The 4 marked x is 10 times greater than the 4 marked y. That is because it is one place in front of the other 4, making it 10 times greater. If you need any help with understand this, please let me know and I will further assist you on this question! Hope I was able to help.
