Answer:
82 inches
Step-by-step explanation:
The difference between consecutive even integers is 2, thus
let the legs be n and n + 2
Using Pythagoras' identity in the right triangle
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
n² + (n + 2)² = 58² ← expand and simplify left side
n² + n² + 4n + 4 = 3364 ( subtract 3364 from both sides )
2n² + 4n - 3360 = 0 ( divide all terms by 2 )
n² + 2n - 1680 = 0 ← in standard form
(n + 42)(n - 40) = 0 ← in factored form
Equate each factor to zero and solve for n
n + 42 = 0 ⇒ n = - 42
n - 40 = 0 ⇒ n = 40
But n > 0 ⇒ n = 40
and n + 2 = 40 + 2 = 42
Thus sum of legs = 40 + 42 = 82 inches
We substitute the given into the equation
given: a=-1, b=2, c=

=(

-1
=

-1
=

-1
=

-1
to continue, we can either find a common denominator or change the fraction to decimal.
Fraction to Decimal:

=-2.5
Equation=-2.5-1=-3.5
OR Common Denominator:
=


×

(denominator should be -2=common)
=

+

=

which also = to -3.5
36(3.14) = 4/3 x 3.14 x r^3
113.04 = 4.187(r^3)
113.04/4.187 = r^3
26.997 = r^3
3√26.997 = r
r = ~3
Check: 3^3(

)(4/3) = 27(3.14)(4/3) = 113.04
Why not look up "standard deviation" yourself, to be sure? But yes, the std. dev. is the sqrt of the variance.