Answer: A. 279936 sequences.
B. 2187 sequence.
C. 7776 sequence.
D. 46656 sequence
E. 64 sequence.
Step-by-step explanation:
Given data:
A 6 sided fair die
No of time rolled = 7
Resulting sequence recorded = 7.
Solution.
A.) No of different possible sequence
= 6^7
= 279936 sequences.
B.) Sequence consisting of only even number
= there are 3 even numbers between 1 and 7 ( 2,4,6).
= 3^7
= 2187 sequence.
C.) possible sequences are when the first, third, and fourth numbers must be the same.
= 6* 6 ^n
where n = 4
= 6*6^4
= 7776 sequence.
D.) sequence when every number is different.
There are 6 sides of a die, so when every number is different it is.
= 6^6
= 46656 sequence
E.) sequence when atleast there are two numbers that are the same.
= 2^6
= 64 sequence.
Answer:
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Step-by-step explanation:
Answer:
You have the formula wrong.
The volume of a cylinder = PI * radius^2 * height
To find the height, the formula is:
height = volume / (PI*radius^2)
I'm assuming the radius = .6 meters so
height = 720 / (3.14159265 * .6^2)
height = 720 / 1.130973354
height = 636.61977 meters
Tp check your answer use this calculator: https://www.1728.org/diam.htm
Step-by-step explanation:
Answer:
triangular prism
Step-by-step explanation:
the name of the solid is ussualy the base of the shape
Answer:
A) The coordinates of the fourth vertex are:
1) x-coordinate:
2) y-coordinate:
B) The point of intersection of the diagonals is: 
Step-by-step explanation:
We need to remember that the diagonals of a parallelogram intersect each other at a half-way point and the midpoint of each diagonal is the same.
The midpoint formula is:
Since:
We can find the coordinates of the fourth vertex 
through these procedure:
1) x-coordinate:
2) y-coordinate:
Therefore, fourth vertex is 
Since the point of intersection of the diagonals is the midpoint of a diagonal (Remember that ), this is:
Therefore, the point of intersection of the diagonals is
