To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. In the example above, the variable x is equal to 6 since 6 + 6 = 12. If we know the value of our variables, we can replace the variables with their values and then evaluate the expression. Hope this helps! :)
Answer: 75% of the rate lies in 47 per month and 55 per month.
Step-by-step explanation:
The mean rate for a satellite television from a sample of households was $51.00 per month, with a standard deviation of $2.00 per month.
According to the Chebychev's Theorem, atleast % of the data lies within k standard deviation from the mean.
For k=2
Alteast 75% of data lies within 2 standard deviation from mean.
i.e. 51-2(2) per month and 51+2(2) per month
i.e. 47 per month and 55 per month
Hence, 75% of the rate lies in 47 per month and 55 per month.
Let the original number be ‘x’
Then half of that number= 1/2x or simply x/2
Similarly one fifth of that number = x/5
According to the question
x+x/2+x/5=51
Taking LCM
10x/10+2x/10+5x/10=51
Multiplying 10 throughout
10x+2x+5x=510
17x=510
x=510/17
Therefore x=30