70%Step-by-step explanation:First, determine how many fixtures are left to install.270-81=189. The fraction representing the work still to be done is the count of fixtures to install divided by the total amount. So, % of work remaining equals 189 divided by 270, which equals 0.7. Converting this to percentage form gives us 0.7 * 100% = 70%.
We consider all workers as either full-time or part-time.
36 = 24 + 12
If there are 24 or fewer full-time workers, there must be at least 12 part-time workers. (This conclusion is based on the understanding of sums.)
You can formulate the inequality in two steps. First, present and resolve an equation for full-time workers in relation to part-time workers. Then, apply the specified limit on full-time workers. This results in an inequality that can be solved for part-time workers.
Let f and p represent full-time and part-time positions, respectively.
f + p = 36... given
f = 36 - p... subtract p to express f in terms of p.
f ≤ 24......... given
(36 - p) ≤ 24.... substitute for f. This gives your inequality in terms of p.
36 - 24 ≤ p.... rearranging gives p ≥ 12........ this is the solution to the inequality
The rate at which the windows are washed can be described by the number of windows cleaned each minute. Thus, the missing value represents how many windows she has managed to wash.
Answer:
(a) 1 in 365 or 0.2740%
(b) 0.8227%
Step-by-step explanation:
(a) For the first person's birthday, the probability that the second person has the same birthday is 1 out of 365, so the chance that the first two share a birthday is:
(b) There are four scenarios possible where at least two individuals share a birthday: first and second, first and third, second and third, all three sharing the same birthday. Hence, the probability that at least two share their birthdays is:
