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18.01.2021 •
Mathematics
Which table correctly shows all the sample spaces for tossing a coin to get heads and rolling a number on a six-sided number cube? Coin Number cube Outcome Tails 1 Tails, 1 Tails 2 Tails, 2 Tails 3 Tails, 3 Tails 4 Tails, 4 Tails 5 Tails, 5 Tails 6 Tails, 6 Coin Number cube Outcome Heads 1 Heads, 1 Heads 2 Heads, 2 Heads 3 Heads, 3 Heads 4 Heads, 4 Heads 5 Heads, 5 Heads 6 Heads, 6 Coin Number cube Outcome Heads 1 Heads, 2 Heads 2 Heads, 4 Heads 3 Heads, 6 Tails 4 Tails, 2 Tails 5 Tails, 4 Tails 6 Tails, 6 Coin Number cube Outcome Heads 2 Heads, 1 Heads 4 Heads, 3 Heads 6 Heads, 5 Tails 2 Tails, 1 Tails 4 Tails, 3 Tails 6 Tails, 5
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Ответ:
Hi ,
Cube of a number :
For a given number x we define cube
of x = x × x × x , denoted by x^3.
A given Natural number is a perfect
Cube if it can be expressed as the
product of triplets of equal factors.
Now ,
Write given number as product of
prime .
8788 = 2 × 4394
= 2 × 2 × 2197
= 2 × 2 × 13 × 169
= 2 × 2 × 13 × 13 × 13
= 2 × 2 × ( 13 × 13 × 13 )
Here we have only triplet of equal
factors i.e 13
To make 8788 into perfect Cube we
have multiply with 2.
Now ,
2 × 8788 = ( 2 × 2 × 2 ) × ( 13 × 13 × 13 )
17576 = ( 2 × 13 )^3 = ( 26 )^3 perfect
Cube
I hope this will useful to you.