Answer:
a. cone. Since it's the only shape with one base and a vertex not on the same plane
Answer:
The standard deviation of given probability distribution is 0.767.
Step-by-step explanation:
We are given the following information in the question:
X: 0 1 2 3 4
P(x): 0.4521 0.3970 0.1307 0.0191 0.0010
Formula:


Formula:


The standard deviation of given probability distribution is 0.767.
Given:
The equation of a line is:

A line is parallel to the given line and passes through the point (3,-4).
To find:
The equation of the line in the slope intercept form.
Solution:
The slope intercept form of a line is:
...(i)
Where, m is the slope and b is the y-intercept of the line.
We have,
...(ii)
On comparing (i) and (ii), we get

Slope of the given line is 1.
We know that the slopes of parallel lines are equal. So, the slope of the required line is 1.
The required line passes through the point (3,-4) with slope 1. So, the equation of the required line is:
Subtracting 4 from both sides, we get
Therefore, the equation of the required line is
.