Sum of three numbers is 33 and sum of their cubes is 5049 then three numbers are 7,11,15 or 15,11,7.
As given,
Let a-d, a, a +d be three numbers
Sum =33
⇒a-d + a +a +d =33
⇒ a =11
Sum of cubes= 5049
⇒ (a-d)³ + a +(a +d)³ =5049
⇒ a³ -d³ -3a²d +3ad² + a³ +a³ +d³ +3a²d +3ad² =5049
⇒3a³ + 6ad² = 5049
⇒ d=± 4
Therefore, sum of three numbers is 33 and sum of their cubes is 5049 then three numbers are 7,11,15 or 15,11,7.
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Answer:
x = 6
Step-by-step explanation:
2x - 3 = 9
so 9+3 = 12, and 12÷2 = 6
the value of x is 6
Answer:
dude that's easy 1,36 2,18 3,12 ,4,9 6,6
Step-by-step explanation:
Answer:
The probability that M produces a word that looks like a byte is
.
Step-by-step explanation:
It is given that a message source M of a digital communication system outputs a word of length 8 characters.
The characters drawn from the ternary alphabet {0,1,2}, and all such words are equally probable.
Total possible outcomes is

We need to find the probability that M produces a word that looks like a byte (i.e., no appearance of ‘2’). It means only 0 and 1 are included in the word.
Total favorable outcomes is

The formula for probability is



Therefore the probability that M produces a word that looks like a byte is
.