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
He would have four fields. Since the area of 1/2 milex1/2 mile is 1/4, and 1x1 is 1, so 4 fields make up the land.
2 trikes (6 wheels) and 47 bikes (94 wheels)
or
4 trikes (12 wheels) and 44 bikes (88 wheels)
or
6 trikes (18 wheels) and 41 bikes (82 wheels)
or
8 trikes (24 wheels) and 38 bikes (76 wheels)
or
10 trikes (30 wheels) and 35 bikes (70 wheels)
As long as you start our with an even number of trikes, you'll find a way to use up all the tires with no remainders.
Answer:
The inverse is 1/3 (x+1)
Step-by-step explanation:
y = 3x-1
Exchange x and y
x = 3y-1
Solve for y
Add 1 to each side
x+1 = 3y-1+1
x+1 = 3y
Divide each side by 3
(x+1)/3 = 3y/3
1/3(x+1) =y
The inverse is 1/3 (x+1)
