<span>Answer: Skewed to right with mean 0 and S.D. 1
Explanation: Let's assume the z-scores as a linear transformation.
then z=(x-mean)/S.D. = (x-30)/15
z(mean) = (30-30)/15= 0
z(sigma) = 15/15 = 1
Note: Shape does not change.</span>
Answer:
5x - y = 27
Step-by-step explanation:
Slope is the direction of line and it is calculated as,
where (x₁, y₁) is any two points on the line.
Here, we have given that
Slope = 5 and (x₁, y₁) = (5, -2)
∴ 
⇒ 5(x - 5) = y + 2
⇒ 5x - 25 = y + 2
⇒ 5x - y = 27
Hence, the equation of a line is: 5x - y = 27
Answer:
Given:
Radius of large sphere: R1
Volume of sphere: V1
Radius of small sphere: R2
Volume of sphere: V2
R1=2R2
We know that:
Volume of a sphere: 4/3πR^3
Volume of large sphere: 4/3πR1^3
Now we know that R1=2R2(given)
Thus volume of large sphere(V1) 32/3πR2^3.
Volume of small sphere(V2): 4/3πR2^3.
Ratio of volume of large sphere to small sphere is 8:1.
Step-by-step explanation:
