Part (a): All are defective
Only one way of selecting the 5 defective transistors:
Number of ways of selections available = 6C5 = 16!/[5!*(15-5)!] = 4368
Probability they are all defective = Number of ways of selecting 5 defectives/Total number of ways possible = 1/4368 ≈ 0.000229
Part (b): None are defective
Total number of non defectives = 16 -5 = 11
Number of ways of selecting 5 non defective = 11C5 = 462 ways
Total number of ways possible = 16C5 = 4368
Probability of selecting 5 non defectives = 462/4368 = 11/104 ≈ 0.1058
A section, or cross-section, is a view of a 3-dimensional object from the position of a plane through the object. A section is a common method of depicting the internal arrangement of a 3-dimensional object in two dimensions. It is often used in technical drawing and is traditionally crosshatched.
Cross sections of three-dimensional objects are two-dimensional shapes of various sizes. They may be parallel to a side or base of the object or at an angle to these surfaces. A cross section may resemble the shape of the object’s side or base, or it may have a completely different shape.
Answer:
Let us make the last unknown interior angle be "b"
b+a+36=180
b=180-36-a
b=144-a
for the main triangle,
a+144-a+a-28=180
2a+116=180
2a=180-116
2a=64
a=32
so a=32
Answer:
1440 different arrangements are possible.
Step-by-step explanation:
Number of arrangements of n elements:
The number of arrangements of n elements is given by:
In this question:
6 couples, in which each can be positioned in 2 ways(him/her or her/him). So
1440 different arrangements are possible.
Answer:
m=5
Step-by-step explanation:
multiply 3 with the numbers in the parentheses (2m + 5) when you have 6m + 15 you will plug it into -10=6m+15+5 add your commons which will be 15 + 5 which will be 20 so the equation will be -10=6m+20, now cross your 6m with your -10 which will be -10 + 6m = 20, now cross over your -10 with 20, now your equation will be 6m=20 + 10 so now you will get 6m = 30 now divide both sides by 6 and m=5