Respuesta:
- 0,60
Explicación paso a paso:
Dado que:
Media poblacional, μ = 683,5
Desviación estándar, σ = 52,1
Puntuación, x = 652,1
La puntuación estandarizada, Z = (x - μ) / σ
Puntuación Z = (652,1 - 683,5) / 52,1
Puntuación Z = - 31,4 / 52,1
Zscore = −0.602687
Puntaje estandarizado = - 0.60
Answer:
Rate of change for the linear relationship modeled is 
Step-by-step explanation:
As the there is a linear relationship in the points, so all these points will be on a single straight line. Hence the slope will be same throughout all the points.
We know that, the slope of the line joining (x₁, y₁) and (x₂, y₂) is,

Putting the points as (-1, 10) and (1, 9), we get



Rate of change is the slope of the line joining all these points.
Given that grain is falling from a chute onto the ground, forming a conical pile whose diameter is always three times its height.
So if D is the diameter and h is the height of the conical pile then we can write:
D=3h
We know that diameter = 2r, where r is the radius
2r=3h

Volume of conical pile is given by formula

Given that volume is 1110 cubic feet.
Now plug the values of Volume and r into equation of volume





take cube root of both sides
7.78103342467=h
Hence height is approx 7.78 feet.
Answer:

Step-by-step explanation:
- Simplify




- Find the additive inverse of
by using its property - <em>"Sum of a number & its additive inverse is always zero". </em>Assume that 'x' is an additive inverse of
.


- Simplify




- Now, find the product of
& 

