You can only add/subtract like terms so:
2a+ab+2b+4a^2-3ab+9
2a-2ab+2b+4a^2+9 (the only like terms were ab and -3ab)
Answer:
468
Step-by-step explanation:
Answer:36 postcards
Step-by-step explanation:
jenny bought 12 post cards
joe bought half of the postcards jenny bought = 12/2 = 6
ruth bought 3 times the postcards joe bought = 3 x 6 = 18
total postcards bought by all = 12 + 6 + 18 = 36 postcards
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:
I do not know
Step-by-step explanation:
