The general point-slope equation for a str. line is y-k = m(x-h),
where m is the slope and (h,k) is a point on the line.
Given that the line passes thru (-4,6) and (1,2), we find the slope as follows:
6-2
m = ----------- = -4/5
-4-1
Subst. -4/5 for m, 6 for k and -4 for h in y-k = m(x-h):
y-6 = (-4/5)(x+4)
Compare this result to the equations given.
Answer:
(1/6)^3 = 1/216, these events are independent.
Step-by-step explanation:
What happens in one roll has no effect on the other rolls, so these events are independent. The probility of any roll outcome is 1/6 since there are 6 sides. Since you want to roll a 6 AND a 5 AND a 4 you have to multiply the probabilities.
Answer:
Step-by-step explanation:
This is an Arithmetic Series with common difference 4 and first term 3
so the nth term an = 3 + (n -1)4
= 4n - 1.
The sum of n terms
= n/2 (a1 + L)
= n/2(3 + 1671)
= 837n.
There are (1671-3) / 4 + 1 = 418 terms in the series,
so the total value of the series is 837*418
= 349,866.
.
Answer:
4.84
Step-by-step explanation:
