Answer:
Step-by-step explanation:
given that a batch of 140 semiconductor chips is inspected by choosing a sample of 5 chips without replacement.
10 chips do not conform to customer requirements.
i.e. out of 140 chips 10 are defective and 130 are good
a) 5 chips can be selected form 140 chips in 140C5 ways
= 416965528
b) For containing exactly one non conforming chip we have one selected from 10 and other 4 selected from 130
No of ways = ![10C1 (130C4)\\=10(11358880)\\=113588800](https://tex.z-dn.net/?f=10C1%20%28130C4%29%5C%5C%3D10%2811358880%29%5C%5C%3D113588800)
c) For atleast one nonconforming chip we can calculate as total - no non conforming
i.e. ![416965528-130C5\\= 416965528-286243776\\=130721752](https://tex.z-dn.net/?f=416965528-130C5%5C%5C%3D%20416965528-286243776%5C%5C%3D130721752)
We have two sides and one angle opposite to one of the known sides.
Begin with applying the Law of Sines to find angle A:
![\frac{sin A }{a}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bsin%20A%20%7D%7Ba%7D%20)
= <span>
![\frac{sin C }{c}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bsin%20C%20%7D%7Bc%7D%20)
Then, solve for sin A:
</span>sin A =
![\frac{a sinC}{c}](https://tex.z-dn.net/?f=%20%5Cfrac%7Ba%20sinC%7D%7Bc%7D%20)
Now, plug in numbers:
sin A = 19 × sin(38) / 10 = 1.17
We know that it does not exist an angle whose sin is bigger than 1, therefore
no triangle is formed.
Answer:
-3-4x
Step-by-step explanation:
A)Plugging in our initial statement values of y = 16 when x = 10, we get:
16 = 10k
Divide each side by 10 to solve for k:
16/10=
k = 1.6
Solve the second part of the variation equation:
Because we have found our relationship constant k = 1.6, we form our new variation equation:
y = 1.6x
Since we were given that x, we have
y = 1.6()
y = 0
B)Plugging in our initial statement values of y = 1 when x = 15, we get:
1 = 15k
Divide each side by 15 to solve for k:
1/15
=15k
k = 0.066666666666667