Answer:
77.64% probability that there will be 0 or 1 defects in a sample of 6.
Step-by-step explanation:
For each item, there are only two possible outcomes. Either it is defective, or it is not. The probability of an item being defective is independent of other items. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which 
is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
The true proportion of defects is 0.15
This means that 
Sample of 6:
This means that 
What is the probability that there will be 0 or 1 defects in a sample of 6?
In which
77.64% probability that there will be 0 or 1 defects in a sample of 6.
Answer:
the answer is c.
Step-by-step explanation:
apply the rule of distributive property to check each of the options provided
About 4 and a half (4.5) 2 liter bottles
Answer:
y - 3 = (5/3)(x - 6)
Step-by-step explanation:
The usual first step is to determine the slope of the given line.
In this case the slope is -3/5.
A line perpendicular to this given line would have a slope of 5/3, which is the negative reciprocal of -3/5.
This new line goes thru (6, 3) and has a slope of 5/3. Thus, the equation of the line in point-slope form is
y - 3 = (5/3)(x - 6)
Double check that you have copied the problem down correctly. The slope of the line represented by -3x - 5y = 17 is neither 2 nor -2; it is -3/5, and so the slope of a line perpendicular to -3x - 5y = 17 is +5/3.
Answer:
Step-by-step explanation:
Line segment divided into 5:3 ratio, so one segment is ⅝ of AB and one segment is ⅜ of AB.
Compare the coordinates of A and B.
change in x-coordinates = 10-2 = 8
change in y-coordinates = 2-(-6) = 8
⅝ of 8 = 5, so x-coordinate of C = (x-coordinate of A) + 5 = 7, and y-coordinate of C = (y-coordinate of A) + 5 = 1
