Answer:





Step-by-step explanation:
The figure has been attached, to complement the question.



Given that J is the centroid, it means that J divides sides CD, DE and CE into two equal parts respectively and as such the following relationship exist:



Solving (a): DG
If
, then



Make DG the subject

Substitute 52 for DE


Solving (b): GE
If
, then


Solving (c): DF

So:

Solving (d): CH


Solving (e): CE
If
, then



Answer:
4 is the correct answer
Step-by-step explanation:
y=(x+5)(x-3)
so x intercept means the value of x when y is zero
0=(x+5)(x-3)
x+5=0 so x=-5
x-3=0 so x=3

a. "Chocolate" and "Adults" (whatever those mean) will be independent as long as

"Chocolate" has the marginal distribution given by the second column, with a total probability of

. Similarly, "Adults" has the marginal distribution described by the third row, so that

. Then

Meanwhile, the joint probability of "Chocolate" and "Adults" is given by the cell in the corresponding row/column, with

.
The probabilities match, so these events are indeed independent.
Parts (b) and (c) are checked similarly.
b. Yes;


c. Yes;
