Answer:
0.4546
Step-by-step explanation:
nCr = n!/(n-r)!r!
Number of ways of selecting the four defective voltage regulators from 12 = 12C4 = 12!/(12-4)!4! = 12!/8!4! = (12 *11*10*9)/(4*3*2*1)
12C4 = 495 ways
Number of ways of selecting 2 defectives from line 1 = 6C2 * 6C2
6C2 = 6!/(6-2)!2! = 6!/4!2! = (6*5)/(2*1) = 15
6C2 * 6C2 = 15*15 = 225 ways
Probability = Number of possible outcomes/ Number of total outcomes
Probability that exactly 2 of the defective regulators came from line 1 = 225/40.95 = 0.4546
<u>Complete Question</u>
The table shows the number of grade 7 and grade 8 students on the student council at Jeremy’s school.
Number of Students
- Grade 7 - 17
- Grade 8 - 34
Answer:
C- The number of outcomes representing each grade level does not change after the first student is chosen.
Step-by-step explanation:
The ratio of Grade 7 students to Grade 8 students is:
17:34
This written in reduced form is 1:2
Therefore, initially, the six parts of the cube can be divided into the ratio 2:4 which Jeremy did.
However, after the first selection of a student, the ratio of Grade 7:Grade 8 student changes since the same student cannot be chosen more than once.
Therefore the cube rolls represent only the first student choice and may not be accurate for subsequent rolls.
The correct option is C.
Answer: 1.4 inches
Step-by-step explanation:
8 * 12 = 96
96 - 94.6 = 1.4
Answer:
11. parallelogram, rectangle
12. parallelogram, rhombus
13. parallelogram, square
