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
Quarter =25 cents
One week =25*7
175 cents which is =1 dollar 75 cents
Yes, EF is parallel to CD. Translation is the simple slide of a shape, therefore it doesn't have an effect on parallel lines.
Answer: 255
Step-by-step explanation: All you do is subtract 8,745 from 9000.
Answer:
The number is 5
Step-by-step explanation:
Let x be the number
3x+5+x = 25
Combine like terms
4x+5 = 25
Subtract 5 from each side
4x+5-5 = 25-5
4x = 20
Divide by 4
4x/4 = 20/4
x = 5
