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
Hi!
To solve this, let's divide
625/250 = 2.5
So is the pattern.. x/2.5 = x2/2.5 = x3/2.5...
We can test this theory by multiplying
100 x 2.5 = 250
Since 250 comes before 100 in the sequence then our theory is correct!
So to find the next numbers, divide:
40/2.5 = 16
16/2.5 = 6.4
6.4 = 2.56
The answer is C.
Hope this helps! :)
Your simplified answer is 10 (ten)
Answer:
3.92699081699
Step-by-step explanation:
=15.7/4
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