X−7<1
Add 7 to both sides.
x−7+7<1+7
x<8
To plot this on a number line, put a circle around 8 and a line going to the left with an arrow at the end.
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;
perp to x-3y=2 thru (2,4)
For perpendicular we swap the coefficients on x and y, negating one
3x + y = some constant
We get the constant in the obvious way from the point
3x + y = 3(2) + 4 = 6 + 4 = 10
Answer: 3x + y = 10
Step-by-step explanation:
the average change rate is simply the change of the functional values in a given interval relative to the change of the input values.
in short
(f ( interval upper limit) - f (interval lower limit) ) /
(interval upper limit) - (interval lower limit)
and you know that f (x) is usually also called y (the functional result variable).
so, the upper limit is 0, the lower limit is -2.
y (or f (x)) is 6 and 10 at these points.
and we get
(6 - 10) / (0 - -2) = -4 / 2 = -2
