Answer:

Step-by-step explanation:
If a watch has fewer than three defects, then either 1.) It has no defects, 2.) it has exactly 1 defect, or 3.) it has exactly 2 defects.
1.) The probability that the watch has no defects is
, because for every chime there is a probability of
that there is no defect
2.) The probability that the watch has exactly 1 defect is
times the number of ways you can choose 1 of 75 of the chimes to be defective, which is
, so the probability that the watch has exactly 1 defect is
.
3.) For the same reason as 2.), the probability that the watch has exactly two defects is 
Since 1.), 2.), and 3.) are mutually exclusive events, the probability of their union is simply the probability of each of them added together, which is 
Slope is the change in y over the change in x:
Slope = (y2 - y1) / (x2-x1)
Replace the letters in the equation with the given information:
1/2 = (1 - -1) / (15 -r)
Cross multiply:
1 * (15-r) = 2 * (1- -1)
Simplify:
15 -r = 4
Subtract 15 from each side:
-r = -11
Because r is negative, you need to multiply both sides by -1 to make r positive:
r = 11
Answer:
y - 10 = 5(x - 15)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (15, 10) and (x₂, y₂ ) = (16, 15)
m =
=
= 5
Using (a, b) = (15, 10), then
y - 10 = 5(x - 15)