Answer:
It should be 1/18
Step-by-step explanation:
Answer:
The depth of oil in the tin is 9cm
Step-by-step explanation:
The first thing we need to do here is to calculate the volume of the cylindrical tin.
Mathematically, that would be;
V = pi * r^2 * h
now, r = d/2 = 12/2 = 6cm
h = 14 cm
Thus the volume would be;
V = 22/7 * 14 * 6^2 = 1,584 cm^3
Now, to find the the depth of the tin, we have to realize that the content of the cylinder should fill in the tin to a particular height.
Now let’s say the height of the tin is x, this means its volume which is l * b * h = 16 * 11 * x = 176x
So the depth x would be;
176x = 1584
x = 1584/176 = 9 cm
Step-by-step explanation:
You divide each term by -2
1. CD is tangent to the circle with center O, at point D.
2. Join D to O.
3. OD = OB = r, where r is the radius of the circle.
4. radius OD is perpendicular to the tangent CD.
5. Thus in the right triangle OCD:

, by the pythagorean theorem.
6.


Note: when applying pythagorean theorem, the difference of squares property
[

] is a useful practical tool in calculations.
38r=(35 -19)(35+19)
38r=16*54
r=

7. Finally, the diameter BA=2r=2*22.74=45.48
So the answer is 45.5
Answer:
The expected value of the number of letters in the selected person's home state is 6.64.
Step-by-step explanation:
What is the expected value of the number of letters in the selected person's home state
52% have 8 letters(Missouri).
28% have 6 letters(Kansas)
20% have 4 letters(Iowa).
So

The expected value of the number of letters in the selected person's home state is 6.64.