Answer:
Slope and y-intercept
Step-by-step explanation:
The complete question is shown in the image attached with.
For each trip an initial fee of $ 25 is charged and $ 0.10 is charged for each vertical meter descended.
Since, for each vertical meter the charge is $ 0.10, for x meters the charges will be $ 0.10x. So,
Total charges of the trip would be:
Total charges/fee = Initial Fee + Fee for x meters
y = 25 + 0.10x
y = 0.10x + 25
The general slope intercept form of the equation of the line is:
y = mx + c
Where,
m = slope of the line
c = y-intercept
Compairing both the equations given above we, get:
Slope of line = m = 0.10
y-intercept = c = 25
So, the given statements gives us the slope and the y-intercept of the graph.
Answer:
Yes, La Tasha is correct, because the correlation coefficient is r=0
Step-by-step explanation:
Please, see the attached file.
Thanks.
Using Descartes' Rule of Signs:
The signs are: - + - + - +
There are 5 signs changes in this sequence, so there could be either 5, 3, or 1 positive roots.
If we negate the terms with odd numbers (x^5, x^3), we end up with the signs: - - - - - +
Since there is 1 sign change, there can be only 1 negative root.
This means the positive and negative roots can either be 6, 4, or 2.
Since the total number of roots cannot exceed 6, there are either 0, 2, or 4 complex roots.
(1) Looks like the joint density is

In order for this to be a proper density function, integrating it over its support should evaluate to 1. The support is a triangle with vertices at (0, 0), (4, 0), and (4, 4) (see attached shaded region), so the integral is


(2) The region in which <em>X</em> > 2 and <em>Y</em> < 1 corresponds to a 2x1 rectangle (see second attached shaded region), so the desired probability is

(3) Are you supposed to find the marginal density of <em>X</em>, or the conditional density of <em>X</em> given <em>Y</em>?
In the first case, you simply integrate the joint density with respect to <em>y</em>:

In the second case, we instead first find the marginal density of <em>Y</em>:

Then use the marginal density to compute the conditional density of <em>X</em> given <em>Y</em>:

Answer: 30
Step-by-step explanation:
2x -8 = 22
2x = 22 + 8
2x = 30
Divide both sides by 2
X = 15
Twice of x
2 x X = 2 x 15 = 30