Answer:
(A)The height of each pyramid is One-half h units.
Step-by-step explanation:
Height of the Cube = h units
Volume of the Cube 
If Base of the cube =Base of the square pyramid
Base of the square pyramid = h units



Since Volume of the Cube = Volume of Six Square Pyramids
Then:

Answer:
There are 685464 ways of selecting the 5-card hand
Step-by-step explanation:
Since the hand has 5 cards and there should be at least 1 card for each suit, then there should be 3 suits that appear once in the hand, and one suit that apperas twice.
In order to create a possible hand, first we select the suit that will appear twice. There are 4 possibilities for this. For that suit, we select the 2 cards that appear with the respective suit. Since there are 13 cards for each suit, then we have
possibilities. Then we pick one card of all remaining 3 suits. We have 13 ways to pick a card in each case.
This gives us a total of 4*78*13³ = 685464 possibilities to select the hand.
The probability density function (pdf) is;
f(x)=
for a ≤ x ≤ b.
while the mean is given as 
And the standard deviation given as 
Answer:
<em>2x - 1</em>
Step-by-step explanation:
<u>Equivalent Algebraic Expressions
</u>
One algebraic expression can be written in several ways by applying known rules and theorems that modify expressions without changing its final value.
The expression:
1 + 2(x - 1)
Can be modified by applying the following operations:
Multiplying the constant by the contents in parentheses:
1 + 2x - 2
Collecting like terms:
-1 + 2x
Or, equivalently:
2x - 1