A firm employing 100 workers has an average absenteeism of 4%. on a given day what is the probability of no workers being absent

1.69% to the nearest hundredth.

Step-by-step explanation:

Binomial probability distribution.

P(r) = nCr p^r(1-p)^(n-r)    where r = number of successes , n = number of trials and p =probability of success.

So here we have:

Probability of no workers being absent =

P(0) = 100C0*0.04^0 * (0.96)^100

=  1*1*0.0169

= 1.69 %.

x = central angle apc = measure of minor arc ac

the two angles x and 30 add to 180, so x+30 = 180 and x = 180-30 = 150. the measure of minor arc ac is 150 degrees.

what we need to do from here is find the circumference and then multiply it by x/360 since there are 360 degrees in a circle. in this case, x = 150, so x/360 = 150/360 = 15/36 = 5/12. the shortest distance along the curve from a to c is 5/12 of the distance around the entire circle (aka circumference)

c = circumference

c = pi*d

c = pi*24

c = 24pi

now multiply this by 5/12 to get

distance along minor arc ac = (5/12)*(circumference)

distance along minor arc ac = (5/12)*(24pi)

distance along minor arc ac = 10pi

the formula you can use is

l = (x/360)*pi*d

with

l = length of minor arc

x = central angle

d = diameter

which essentially is the steps we took though a bit differently.