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:
62.8 inches
Step-by-step explanation:
c = πd
c = 3.14 * 20
c = 62.8 inches
Answer:
The answer to your question is: x = 1, y = 4
Step-by-step explanation:
I'll change decimals to fractions
4.5 = 9/2
12.5 = 25/2
3.25 = 13/4
0.75 = 3/4
-9/2 x - 2 y = - 25/2 (I)
13/4 x - y = - 3/4 (ll)
Process
from (II) y = 13/4x + 3/4
Sunstitution -9/2x -2(13/4 x + 3/4) = - 25/2
-9/2 x - 13/2 x - 3/2 = -25/2
Multiply by 2 -9 x - 13 x - 3 = -25
-22 x = -25 + 3
-22 x = -22
x = 22/22
x = 1
y = 13/4 (1) + 3/4
y = 16/4
y = 4
<h3>A median.</h3>
The "middle" of a sorted list of numbers. To find the Median, place the numbers in value order and find the middle number.
When there are two middle numbers we average them.
We have:
3.9, 7, 3.3, 1, 1.4, 1.7, 2.1, 3.3, 5.2
Let's sort the numbers from the smallest to the largest
1, 1.4, 1.7, 2.1, <u>3.3</u>, 3.3, 3.9, 5.2, 7
<h2>The median is 3.3</h2>
