Amanufacturer of matches randomly and independently puts 24 matches in each box of matches produced. the company knows that one-tenth of 5 percent of the matches are flawed. what is the probability that a matchbox will have one or fewer matches with a flaw?

There is a 0.36% Chance of 1 or fewer in every 24 matches being flawed.

Step-by-step explanation:

Firstly we need to know what 1/10 of 5 is. It is 0.5.

You then need to multiply 24 by 1.5 to get 36. We then need to  divide that by 100 to get a percentage and we end up with 0.36%

Here is an explanation of how to get percentages: https://www.mathsisfun.com/converting-fractions-percents.html

55.44 inches

step-by-step explanation:

part a. assuming a perfectly linear relationship, we can find the slope from the first two data points.

slope = m = (change in rainfall)/(change in years)

= (61.80 -62.33)/(2005 -2004) = -0.53/1 = -0.53

then the point-slope form of the equation of the line can be written as

y = m(x -h) +k . . . . . m = -0.53, (h, k) = (0, 62.33)

y = -0.53x +62.33 . . . x = years after 2004

part b. in 2017, x = 2017 -2004 = 13. then the predicted rainfall is

y = -0.53·13 +62.33 = 55.44 . . inches

the predicted rainfall in 2017 is 55.44 in.