Answer:
1 6/7
Step-by-step explanation:
1 & 6/7
Answer:
Step-by-step explanation:
[3, 1] and [0, −3]
I am joyous to assist you anytime.
Answer:
a) 658008 samples
b) 274050 samples
c) 515502 samples
Step-by-step explanation:
a) How many ways sample of 5 each can be selected from 40 is just a combination problem since the order of selection isn't important.
So, the number of samples = ⁴⁰C₅ = 658008 samples
b) How many samples of 5 contain exactly one nonconforming chip?
There are 10 nonconforming chips in the batch, and 1 nonconforming chip for the sample of 5 be picked from ten in the following number of ways
¹⁰C₁ = 10 ways
then the remaining 4 conforming chips in a sample of 5 can be picked from the remaining 30 total conforming chips in the following number of ways
³⁰C₄ = 27405 ways
So, total number of samples containing exactly 1 nonconforming chip in a sample of 5 = 10 × 27405 = 274050 samples
c) How many samples of 5 contain at least one nonconforming chip?
The number of samples of 5 that contain at least one nonconforming chip = (Total number of samples) - (Number of samples with no nonconforming chip in them)
Number of samples with no nonconforming chip in them = ³⁰C₅ = 142506 samples
Total number of samples = 658008
The number of samples of 5 that contain at least one nonconforming chip = 658008 - 142506 = 515502 samples
Answer:
Step-by-step explanation:
I used an online Fraction calculator to check my answer and I got 4/15 both times so you can trust this answer my friend.
Hope this helped you out.
Answer:
The answer is C.
Step-by-step explanation:
I would simplify the expression first.
Equation: (6m^-1)^-3
You can get rid of n^0 because that equals 1.
Any expression raised to the power of -1 equals its reciprocal.
Equation: (6/m)^-3
Equation: (m/6)^3
Final Equation: m^3/216
Now, plug in 3.
(3)^3/216.
27/216 = 1/8
Hope this helps!
