Answer:
4082
Step-by-step explanation:
Given
The composite object
Required
The volume
The object is a mix of a cone and a hemisphere
Such that:
<u>Cone</u>
---- radius (r = 20/2)
<u>Hemisphere</u>
The volume of the cone is:
The volume of the hemisphere is:
So, the volume of the object is:
(4x - 3)(2x - 1) ≥ 0
First, find the zeros:
4x - 3 = 0 2x - 1 = 0
x = 
x = 
Next, plot these points and choose test points on the outside and between the zeros:
←-------0------------
------------1------→
Lastly, plug in the test points and look for a positive result (since it is greater than 0).
Test Point 0: [4(0) - 3][2(0) - 1] = ( - )( - ) = + THIS WORKS!
Test Point : [4() - 3][2() - 1] = ( - )( + ) = - <em>This does NOT work</em>
Test Point 1: [4(1) - 3][2(1) - 1] = ( + )( + ) = + THIS WORKS!
Answer: x ≤ or x ≥
Interval Notation: (-∞, ] U [, ∞)
Graph: ←------ --------→
Answer:
6
Step-by-step explanation:
6 goes in 30 5 times.
into 48 six times.
into 60 ten times.
Answer:
E
Step-by-step explanation:
As you need a 47%, you universe of numbers should be form 0 to 99 (or 1 to 100, the important fact is you need 100 numbers). With this, you can discard A and D. You can also discard C, as you need 47 good realizations as you probability is 47%, and C gives you 48 (00 also counts)
You need as many observations as you can, to get a more consistent estimation. This means, as many observations as you can. You could use B or E, because both have 47 good observations (for u), but E gives you a larger sample.
If you are trying to get a head with 50% throwing a dime, you will, statistically, do better throwing it 47 times than only 10 times.
Its simple foil
(5-7i)(8+13i)
you should know i^2=-1
=40+65i-56i-91i^2
=131+9i
