Let p be 0.831 denote the percentage of defective welds and q be 0.169 denote the percentage of non-defective welds.

Using the binomial distribution, we want all three to be defective.
$P(X = 3) = \binom{3}{3}(p)^{3}{q}^{3 - 3}$
$P(X = 3) = \binom{3}{3}(0.831)^{3}(1)$
$P(X = 3) = (0.831)^{3} \approx 0.573856191$

4 0

3 years ago

What is the slope of the line that is perpendicular to the line that goes through the two points (-8, 3) and (4, 27)?

Mademuasel [1]

Answer:

-1/2 or -0.5

negative half

Step-by-step explanation:

slope of regular line= (y1-y2) / (x1-x2)

(27-3) / (4 - -8)

24 / (4+8)

24 / 12 = 2

the slope of a perpendicular line is the negative reciprocal

the negative reciprocal of positive 2/1 (2 as a fraction) is:

negative half: -1/2 or -0.5

8 0

2 years ago