Answer:
The radius of the circle is 3 units
The center of the circle lies on the x-axis.
The radius of this circle is the same as the radius of the circle whose equation is x^2 + y^2 = 9
Step-by-step explanation:
I dont know if m2 is the variable or its suppose to be m(2)
Answer:
The standard deviation of this probability distribution is 1.2.
Step-by-step explanation:
We have that:
P(X = 0) = 0.25
P(X = 1) = 0.3
P(X = 2) = 0.1
P(X = 3) = 0.35
Mean:
Each value multiplied by its probability. So
Variance:
Sum of the squares of the values subtracted from the mean, and multiplied by its probability.
![V = 0.25*(0-1.55)^2 + 0.3*(1-1.55)^2 + 0.1*(2-1.55)^2 + 0.35*(3-1.55)^2 = 1.4475](https://tex.z-dn.net/?f=V%20%3D%200.25%2A%280-1.55%29%5E2%20%2B%200.3%2A%281-1.55%29%5E2%20%2B%200.1%2A%282-1.55%29%5E2%20%2B%200.35%2A%283-1.55%29%5E2%20%3D%201.4475)
Standard deviation:
Square root of the variance. So
![S = \sqrt{V} = \sqrt{1.4475} = 1.2](https://tex.z-dn.net/?f=S%20%3D%20%5Csqrt%7BV%7D%20%3D%20%5Csqrt%7B1.4475%7D%20%3D%201.2)
The standard deviation of this probability distribution is 1.2.
we know that
the ratio of the perimeters is equals to the scale factor
scale factor=5/8
scale factor=measure smaller square/measure larger square
let
smaller square=first square
larger square=second square
area smaller square=[scale factor]²*area larger square
so
area larger square=area smaller square/[scale factor]²
scale factor=5/8
area smaller square=225 m²
area larger square=225/[5/8]²----> 225/(25/64)-- > 225*(64/25)-----
> 576 m²
the answer is
the area of the second square (larger square) is 576
m²