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:
3x - 25
———————
5
Should be something similar to that, sorry If i couldn't help much.
9514 1404 393
Answer:
D) No Solutions
Step-by-step explanation:
The lines have the same slope (-4), but different y-intercepts (3, 0), so they are parallel lines. There can be no values of x and y that satisfy both equations.
There are no solutions.
The answer is 2/11 in simplest form
The additive inverse of a number is just the opposite of the given number. For example; 2 and the additive inverse is -2.
If we apply this to the number we are given, we get 19.57
Best of Luck!
