There is three sampling frame of students that cannot be sampled in the next Monday. This is Students who are skipping class cannot be sampled, Students who are on a school trip cannot be sampled, and Students who are out sick cannot be sampled.
Answer:
(A) 0.006593 or 0.6593%
(B) 0.01538 or 1.538%
Step-by-step explanation:
The total number of possibilities to pick 3 parts out of 15 possible parts is given by the following combination:

(A) There are only three possibilities for which the inspector finds exactly one nonconforming part (NCC, CNC, CCN). Therefore, the probability is:

(B) There are three possibilities for which the inspector finds exactly one nonconforming part, three possibilities for two nonconforming parts (NNC, CNN, NCN), and one possibility for all nonconforming parts (NNN). The probability that the inspector finds at least one nonconforming part is:

9514 1404 393
Answer:
162°
Step-by-step explanation:
The measure of inscribed angle ADC is half the measure of the intercepted arc AC. That arc has a measure that is the same as the central angle it subtends, angle ABC.
So, central angle ABC is twice the measure of inscribed angle ADC:
m∠ABC = 2·81° = 162°
First Question:
Number of trapezoids - 6
Perimeter - 72
3 + 3 + 3 + 6 = <u>15</u>
3 + 3 + 3 + 3 + 6 + 6 = <u>24</u>
3 + 3 + 6 + 3 + 3 + 6 + 3 + 6 = <u>33</u>
15 + 24 + 33 = <u>72</u>
Second Question:
Number of cubes - 6
Surface area - 24 (probably 480 since it said <em>area</em>)
first cube - 6 ones
second cube - 8 ones
Third cube - 10 ones
you could do 6 + 8 + 10 = 24 or add up all the ones (1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1) and you will still get 24
(It said <em>area</em>, and area means to multiply so maybe its 6 x 8 x 10 = 480 and not 6 + 8 + 10)
Anyways have a good day/night :) I might be wrong, but I hope I helped at least a little