<h2>
Answer:</h2>
The area of the top surface of the washer is: 160.14 square mm.
<h2>
Step-by-step explanation:</h2>
The top of the surface is in the shape of a annulus with a outer radius of 10 mm and a inner radius of 7 mm ( since the diameter of the hole is: 14 mm and we know that the radius is half of the diameter)
Now, we know that the area of the annulus region is given by:
where R is the outer radius and r is the inner radius.
Here we have:
Hence, we have:
Answer:
1. P(C AND D) = 0.3
2. (C.) C and D are not mutually exclusive because P(C AND D) ≠ 0
3. (A.) The events are not independent because P(C | D) ≠ P(C)
4.P(D | C) = 0.5
Step-by-step explanation:
• Let P(C) = 0.4
• Let P(D) = 0.5
• Let P(C | D) = 0.6
1.) Find P(C AND D).
2.) Events can be mutually exclusive meaning the both event cannot happen at the same time. So, P(A and B) = 0
3.) Events can be "Independent", meaning each event is not affected by any other events.
4.) Find P(D | C)
Answer:
d(A,B)=1
Step-by-step explanation:
To find distance between points A(xA,yA) and B(xB,yB), we use formula:
d(A,B)=(xB−xA)2+(yB−yA)2−−−−−−−−−−−−−−−−−−−√
In this example: xA=3 , yA=5 , xB=3 and yB=6 so:
d(A,B)d(A,B)d(A,B)=(3−3)2+(6−5)2−−−−−−−−−−−−−−−√=0+1−−−−√=1
Answer: 5
Step-by-step explanation:
D = √(x₂ - x₁)² + (y₂ - y₁)²
x₁ =2 y₁ =6 x₂ =7 y₂ =6
D =√(7-2)² +(6-6)²
D=√(5)² +(0)²
D =√25
D=5
