Adam lived a quarter of his life as a boy as fifth as a young man, a third in middle-age and 13 years in retirement. How old was
1 answer:
ANSWER
Find out the how old was we when he died.
To proof
Let us assume that the age of the Adam be x
As given
Adam lived a quarter of his life as a boy as fifth as a young man, a third in middle-age and 13 years in retirement.
L.C.M of denominator i.e ( 4,5,3) =60
than the equation becomes
60x = 15x + 12x +20x +780
60x - 47x = 780
13x = 780
x = 60 years
therefore the Adam age when he died is 60 years.
Hence proved
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Answer:
Correct statement: (a) and (b).
Step-by-step explanation:
R-squared is a statistical quantity that measures, just how near the values are to the fitted regression line. It is also known as the coefficient of determination.
The coefficient of determination is the squared value of the correlation coefficient.
That is,
The correlation coefficient between two variables is the measure of the strength and direction of the relationship between two variables.
Its values ranges from -1.00 to +1.00.
Although <em>r</em> can be negative but R² is always positive, since square of a negative number is also positive.
So the correct statements are:
a. cannot be negative
b. is the square root of the coefficient of correlation
Answer with step-by-step explanation:
We are given that the recurrence relation
for n=5,6,7,..
Initial condition
We have to show that Fibonacci numbers satisfies the recurrence relation.
The recurrence relation of Fibonacci numbers
,
Apply this
Substitute n=2
Hence, the Fibonacci numbers satisfied the given recurrence relation .
Now, we have to show that is divisible by 5 for n=1,2,3,..
Now replace n by 5n
Apply induction
Substitute n=1
It is true for n=1
Suppose it is true for n=k
is divisible 5
Let
Now, we shall prove that for n=k+1 is true
It is multiple of 5 .Therefore, it is divisible by 5.
It is true for n=k+1
Hence, the is divisible by 5 for n=1,2,3,..