The residuals of any data set should get added to zero. If there are three residuals (say A, B, and C) in any data set, then it could be written as A + B + C = 0.
Given are the two residuals -10 and -20 out of three point in a particular data set.
Let's assume A = -10 and B = -20, so that we could find third value C of the given data set.
We know A + B + C = 0
(-10) + (-20) + C = 0
(-30) + C = 0
C = 30
It means that third residual must be 30.
Hence, the final answer is 30.
Answer:
In 50 years there'll be approximately 3582 elephants.
Step-by-step explanation:
If they are decreasing at a rate of 9% per year, it means it's population by year is:
population(0) = 400000
population(1) = population(0)*(100% - 9%) = population(0)*(91%)
population(2) = population(1)*(91%) = population(0)*(91%)*(91%) = population(0)*(91%)²
population(3) = population(2)*(91%) = population(0)*(91%)²*(91%) = population(0)*(91%)³
And so on, so the number of population as years passes is:
population(n) = population(0)*(91/100)^n
In this case we want to know the population of elephants when n = 50, so we have:
population(50) = 400000*(0.91)^50 = 3582.033
In 50 years there'll be approximately 3582 elephants.
Answer:
<em>When 60 beats are heard, Tom hits 15 snare drums, Sam hits 6 kettle drums, and Matt hits 5 bass drums.</em>
Step-by-step explanation:
The Least Common Multiple ( LCM )
The LCM of two integers a,b is the smallest positive integer that is evenly divisible by both a and b.
For example:
LCM(20,8)=40
LCM(35,18)=630
Since Tom, Sam, and Matt are counting drum beats at their own frequency, we must find the least common multiple of all their beats frequency.
Find the LCM of 4,10,12. Follow this procedure:
List prime factorization of all the numbers:
4 = 2*2
10 = 2*5
12 = 2*2*3
Multiply all the factors the greatest times they occur:
LCM=2*2*3*5=60
Thus, when 60 beats are heard, Tom hits 15 snare drums, Sam hits 6 kettle drums, and Matt hits 5 bass drums.
Answer:
11
Step-by-step explanation:
Put 3 where x is and do the arithmetic.
g(x) = 3x +2
g(3) = 3·3 +2 = 9 +2
g(3) = 11
The answer to the question