Answer:

Step-by-step explanation:
We have to find the quotient of the following division,
.
Now,
=
{Since all the terms in the expression are in product form, so we can treat them separately}
{Since we know the property of exponent as
}
=
=
(Answer)
{Since we know,
}
The variance is the total of the squared distances of the given data from the mean.
This can be calculated through the equation,
σ² = summation of X² / N - μ²
where σ² is the variance X's are the data, N is the number of terms, and μ is the mean.
summation of X² = 100² + 100² + 120² + 120² + 180² = 81200
N = 5
μ = (100 + 100 + 120 + 120 + 180) / 5
μ = 124
Substituting these values to the equation for variance,
σ² = (81200/5) - 124² = 864
Thus, the variance is equal to 864.
The y intercept is what we get when x=0, so in this case it's
Answer: y=0
Answer:
x=5 and x=15
Step-by-step explanation:
3x^2-60x+225=0
3x^2-60x+225/3=0/3
x^2-20x+75=0
x^2-5x-15x+75=0
x(x-5)-15(x-5)=0
(x-5)(x-15)=0
x-5=0 x-15=0
x=5 x=15