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:
The answer is 1/8 pints left
Step-by-step explanation:
If you had 3/4 pints already and you poured 5/8 pints into your glass, you would only have 1/8 pints left. First you need to make them both have the same denominator (8) to do that you need to multiply 3/4(2)=6/8. 6/8-5/8=1/8 pints left.
Answer:
x = -5
Step-by-step explanation:
-5 + 5 = 0 0×6=0
10100101010100101010101010101010101010
Answer:
1st term : 2
2nd term : 4
3rd term: 8
4th term : 16
5th term : 32
Step-by-step explanation:
