10000 digits can be used for 4 digit A.T.M code.
<u>Solution:</u>
Given that A.T.M required 4 digit codes using the digits 0 to 9.
Need to determine how many four digit code can be used.
We are assuming that number starting with 0 are also valid ATM codes that means 0789 , 0089 , 0006 and 0000 are also valid A.T.M codes.
Now we have four places to be filled by 0 to 9 that is 10 numbers
Also need to keep in mind that repetition is allowed in this case means if 9 is selected at thousands place than also it is available for hundreds, ones or tens place .
First digit can be selected in 10 ways that is from 0 to 9.
After selecting first digit, second digit can be selected in 10 ways that is 0 to 9 and same holds true for third and fourth digit.
So number of ways in which four digit number is created = 10 x 10 x 10 x 10 = 10000 ways
Hence 10000 digits can be used for 4 digit A.T.M code.
Answer:
a) 0.5 = 50% of flanges exceed 1 millimeter.
b) A thickness of 0.96 millimeters is exceeded by 90% of the flanges
Step-by-step explanation:
A distribution is called uniform if each outcome has the same probability of happening.
The uniform distributon has two bounds, a and b, and the probability of finding a value higher than x is given by:

The thickness of a flange on an aircraft component is uniformly distributed between 0.95 and 1.05 millimeters.
This means that 
(a) Determine the proportion of flanges that exceeds 1.00 millimeters.

0.5 = 50% of flanges exceed 1 millimeter.
(b) What thickness is exceeded by 90% of the flanges?
This is x for which:

So




A thickness of 0.96 millimeters is exceeded by 90% of the flanges
First start by subtracting:
50-8=42
the new equation is:
6x=42
then divide:
42/6=7
So the answer is:
x=7
Hope this helps!! :D
Answer:
- When we are having a rational expression i.e. a expression of the type:

Where f(x) and g(x) are polynomial functions.
Now the domain of this rational expression is whole of the real numbers except the points where the function g(x) will be zero.
Hence we have to exclude the points where the given denominator quantity is zero.
- Let us consider an example as:
Let R(x) denote the rational function as:

Now the domain of this rational function will be whole of the real line minus the points where the denominator is zero.
We know that (x-2)(x-3) is zero when x=2 or x=3.
Hence, the domain of R(x) is: R- {2,3}.